Algebra - KS2 Maths Lessons Online

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Sequences

Learning objectives: Pupils should successfully be able to generate and describe linear number sequences

Sequences

Worksheet

Quiz

Missing Number Problems

Learning objectives : Pupils should successfully be able to express missing number problems algebraically

Missing Number problems

Worksheet

Quiz

Two Missing Number Problems

Learning Objective: Pupils should successfully be able to find pairs of numbers that satisfy an equation with two unknowns and enumerate possibilities of combinations of two variables.

Two Missing Number Problems

Worksheet

Quiz

Formulas

Learning objectives : Pupils should successfully be able to use simple formula

Formulas

Worksheet

Quiz

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Place value in very large numbers

1 / 10

1. What is the value of the digit 7 in 3,742,501?

70,000

700,000

7,000

2 / 10

2. Which digit is in the **hundred thousands** place in 5,284,631?

3 / 10

3. What is the value of the digit 9 in 9,056,723?

9,000

900,000

9,000,000

90,000

4 / 10

4. Write 4,678,205 in words.

Four million six hundred seventy-eight thousand two hundred five

Forty-six million seventy-eight thousand two hundred five

Four million sixty-seven thousand eight hundred twenty-five

Four hundred sixty-seven thousand eight hundred twenty-five

5 / 10

5. Which number is **seven million, three hundred twenty-five thousand, sixty-four**?

7,325,640

7,325,064

7,235,064

7,302,564

6 / 10

6. In the number 2,851,937, what is the place value of the digit 5?

Ten thousands

Thousands

Hundred thousands

Hundreds

7 / 10

7. Which number has **6** in the **millions** place?

6,543,210

4,653,210

3,456,210

2,345,610

8 / 10

8. What is the value of the digit **3** in 1,234,567?

3,000

30,000

300,000

9 / 10

9. Which digit is in the **ten thousands** place in 8,174,296?

10 / 10

10. How many **hundred thousands** are in 5,600,000?

560

Your score is

The average score is 53%

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comparing numbers

Comparing Numbers

1 / 12

True or false: 9,999 > 10,000

True

False

They are equal

2 / 12

What digit could replace the blank: 2,_89 > 2,389?

3 / 12

Which symbol completes: 6,789 ___ 6,879?

≤

4 / 12

Which comparison is correct?

2,000 < 1,999

543 = 534

1,111 > 1,110

600 > 6,000

5 / 12

What digit makes 8_4 < 834 true?

6 / 12

Which symbol makes this true: 1,450 ___ 1,405?

≤

7 / 12

Which statement is true?

600 = 60

1,200 < 1,020

999 > 1,000

875 > 857

8 / 12

What is the missing digit in 5_8 > 578?

9 / 12

Which number is **not** less than 800?

799

801

750

699

10 / 12

Which number is the smallest?

1,002

999

1,020

1,000

11 / 12

Which symbol correctly completes the statement: 789 ___ 798?

≤

12 / 12

Which number is greater than 456?

455

356

457

400

Your score is

The average score is 75%

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Ordering numbers

1 / 10

What is the **third smallest**?

4.123; 4.132; 4.213; 4.231

4.123

4.132

4.213

4.231

2 / 10

Arrange in **ascending order**: –4, –1, –7

–7, –4, –1

–1, –4, –7

–4, –7, –1

–7, –1, –4

3 / 10

Order from **highest to lowest**: –2, 3, –5, 0

3, 0, –2, –5

–5, –2, 0, 3

3, –2, 0, –5

0, 3, –2, –5

4 / 10

Which list is **correctly ordered** (greatest to smallest)?

0.999; 0.990; 0.909

0.909; 0.990; 0.999

0.990; 0.999; 0.909

0.909; 0.999; 0.990

5 / 10

Order: £4.50, £4.05, £5.40

Cheapest to most expensive:

£4.05; £4.50; £5.40

£4.50; £4.05; £5.40

£5.40; £4.50; £4.05

£4.05; £5.40; £4.50

6 / 10

Which list is **not** in ascending order?

1.1; 1.11; 1.2

0.5; 0.50; 0.51

3.4; 3.04; 3.004

9.09; 9.9; 9.99

7 / 10

Arrange in **descending order**: 5.6; 5.06; 5.60

5.60; 5.6; 5.06

5.6; 5.60; 5.06

5.06; 5.6; 5.60

All are equal

8 / 10

Arrange in **ascending order**: 234,567; 234,657; 234,576

234,567; 234,576; 234,657

234,657; 234,576; 234,567

234,576; 234,567; 234,657

234,657; 234,567; 234,576

9 / 10

Put in order: 1,001; 1,100; 1,010

Smallest to largest:

1,001; 1,010; 1,100

1,100; 1,010; 1,001

1,010; 1,001; 1,100

1,001; 1,100; 1,010

10 / 10

Which set is in **ascending order**?

3,421; 3,241; 3,124

3,124; 3,241; 3,421

3,421; 3,124; 3,241

3,241; 3,421; 3,124

Your score is

The average score is 55%

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Rounding whole numbers

Rounding numbers

1 / 10

Round 789 to the nearest 10.

700

780

790

800

2 / 10

Which number would round to 4,000 when rounded to the nearest 1,000?

3,250

3,510

4,500

5,100

3 / 10

When rounded to the nearest 100, 2,865 becomes:

2,800

2,860

2,870

2,900

4 / 10

What is 5,432 rounded to the nearest 1,000?

5,000

5,400

5,500

6,000

5 / 10

Which of these numbers rounds to 60 when rounded to the nearest 10?

6 / 10

Round 9,972 to the nearest 100.

9,900

9,970

10,000

9,000

7 / 10

What is 1,236 rounded to the nearest 10?

1,200

1,230

1,240

1,300

8 / 10

Which number rounds to 800 when rounded to the nearest 100?

745

751

850

860

9 / 10

Round 328 to the nearest 100.

300

320

330

400

10 / 10

What is 47 rounded to the nearest 10?

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The average score is 100%

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Calculating with negative numbers

Calculating negative numbers

1 / 12

Which is **not equal to –10**?

–6 – 4

–15 + 5

0 – 10

–3 – (–7)

2 / 12

What is **–7 – 3 + 5**?

–15

–5

–1

3 / 12

What is the **difference** between –6 and 4?

–10

4 / 12

Which is **warmer**: –8°C or –12°C?

–8°C

–12°C

They are the same

Neither

5 / 12

A hiker starts at **200 m above sea level** and descends **350 m**. What is her elevation now?

150m

–150 m

–550 m

550 m

6 / 12

The temperature dropped from **2°C** to **–5°C**. How many degrees did it fall?

3°C

5°C

7°C

8°C

7 / 12

A submarine is at **–150 m**. It rises **40 m**. What is its new depth?

–190 m

–110 m

–90 m

110 m

8 / 12

What is **–(–8) + (–3)**?

–11

–5

9 / 12

What is **5 + (–9)**?

-4

-14

10 / 12

If you have **£20** of debt (–£20) and you pay back **£12**, what is your new balance?

–£32

–£12

–£8

£8

11 / 12

The temperature was **–7°C** at night. By noon, it rose by **10°C**. What is the new temperature?

–17°C

–3°C

3°C

17°C

12 / 12

A lift starts on floor **–2** (2 floors below ground). It goes up **5 floors**. Which floor is it on now?

Floor 3

Floor 5

Floor –7

Ground floor

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Written multiplication 1

Multiplication 1

1 / 9

What is 4 × 11?

2 / 9

What is 1 × 200?

200

3 / 9

What is 10 × 7?

700

4 / 9

What is 0 × 12?

5 / 9

If one pencil costs £3, how much do 7 pencils cost?

£18

£20

£21

£24

6 / 9

What is 9 × 8?

7 / 9

Which number sentence is correct?

3 × 9 = 24

8 × 4 = 36

7 × 6 = 42

5 × 5 = 30

8 / 9

What is 6 × 5?

9 / 9

What is 4 × 7?

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written multiplication 2

Written multiplication 2

1 / 14

What is 35 × 47?

1,645

1,545

1,655

1,745

2 / 14

What is 41 × 75?

3,075

3,175

2,975

3,065

3 / 14

Find the product of 17 × 38.

646

636

656

626

4 / 14

What is 23 × 14?

322

282

342

312

5 / 14

What is 3 × 15?

6 / 14

If one notebook costs £2, how much for 12 notebooks?

£14

£20

£24

£30

7 / 14

What is 4 × 15?

8 / 14

What is 2 × 18?

9 / 14

What is 4 × 13?

10 / 14

What is 0 × 50?

11 / 14

What is 10 × 15?

105

150

1,500

12 / 14

What is 7 × 11?

13 / 14

What is 10 × 12?

100

120

1,200

14 / 14

What is 4 × 11?

Your score is

The average score is 100%

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written multiplication 3

Written multiplication 3

1 / 10

What is 83 × 114?

9,362

9,462

9,472

9,562

2 / 10

Multiply 52 × 157

8,174

8,264

8,164

8,064

3 / 10

What is 77 × 129?

9,833

9,933

9,943

10,033

4 / 10

Calculate 69 × 136

9,384

9,284

9,394

9,484

5 / 10

Find 54 × 148

8,002

7,892

7,992

7,982

6 / 10

What is 86 × 117?

10,062

9,962

10,072

10,162

7 / 10

A baker makes 143 loaves a day. How many in 31 days?

4,433

4,333

4,443

4,533

8 / 10

Multiply 48 × 159

7,632

7,532

7,642

7,732

9 / 10

Calculate 63 × 137.

8,631

8,531

8,641

8,731

10 / 10

What is 72 × 145?

10,440

10,340

10,450

10,540

Your score is

The average score is 100%

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written division

Written division

1 / 9

What is 729 ÷ 9?

2 / 9

What is 624 ÷ 12?

3 / 9

Divide 518 by 7

4 / 9

What is 425 ÷ 5?

5 / 9

A baker has 144 cupcakes and packs them into boxes of 8. How many boxes does he fill?

6 / 9

Calculate 348 ÷ 3

114

115

116

117

7 / 9

What is 216 ÷ 6?

8 / 9

Divide 135 by 5

9 / 9

What is 84 ÷ 4?

Your score is

The average score is 100%

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mental maths

Mental maths

1 / 11

What is 81 – 35?

2 / 11

Add 56 and 27.

3 / 11

What is ¼ of 48?

4 / 11

What number is 100 more than 428?

438

528

538

548

5 / 11

What is £3.50 + £2.75?

£5.25

£6.00

£6.25

£6.35

6 / 11

How many minutes are in 2 hours?

100

110

120

130

7 / 11

What is half of 94?

8 / 11

Divide 63 by 9.

9 / 11

What is 6 × 8?

10 / 11

Subtract 29 from 73.

11 / 11

What is 47 + 38?

Your score is

The average score is 90%

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bodmas

1 / 10

What is 8 + 3 × 2?

2 / 10

Calculate: 12 – 4 × 2

3 / 10

What is (7 + 5) × 3?

4 / 10

Solve: 20 ÷ 4 + 6

5 / 10

What is 9 + 15 ÷ 3?

6 / 10

Calculate: (18 – 6) ÷ 3

7 / 10

What is 5 × 4 – 7?

8 / 10

Solve: 24 ÷ (6 – 2)

9 / 10

What is 7 + 8 × 2 – 3?

10 / 10

Calculate: 30 – 12 ÷ 3 + 1

Your score is

The average score is 90%

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multiples, factors, prime numbers

Multiples, Factors, Prime Numbers

1 / 11

Which number is a multiple of both 3 and 4?

2 / 11

What is the lowest common multiple of 2 and 5?

3 / 11

Which number is NOT a multiple of 5?

4 / 11

Which number is a factor of 15?

5 / 11

What are the factors of 8?

1, 2, 4, 8

2, 4, 6, 8

1, 3, 5, 7

1, 4, 8

6 / 11

Which number is a common factor of 6 and 9?

7 / 11

What is the highest common factor (HCF) of 10 and 15?

8 / 11

Which of these is a prime number?

9 / 11

What is the smallest prime number?

10 / 11

Which number is NOT a prime number?

11 / 11

Is 1 a prime number?

Yes

Sometimes

Can’t tell

Your score is

The average score is 73%

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scp

solving calculation problems

1 / 10

Jake has £20. He buys a game for £12.80. How much change does he get?

£6.20

£7.20

£7.80

£8.20

2 / 10

A train journey takes 87 minutes. How many hours and minutes is this?

1 hr 17 min

1 hr 27 min

1 hr 30 min

1 hr 37 min

3 / 10

A shop sells pencils for 25p each. How much for 12 pencils?

£2.00

£2.50

£3.00

£3.50

4 / 10

A box weighs 3.2 kg. What is the weight of 5 boxes?

15.0 kg

15.5 kg

16.0 kg

16.5 kg

5 / 10

A packet of biscuits has 24 biscuits. How many are left if 7 are eaten?

6 / 10

There are 28 children in a class. 15 are boys. How many are girls?

7 / 10

A film starts at 6:15 PM and lasts 1 hour 45 minutes. What time does it end?

7:50 PM

7:55 PM

8:00 PM

8:10 PM

8 / 10

Sarah saves £12 a week. How much will she save in 8 weeks?

£84

£96

£108

£120

9 / 10

Tom has 84 marbles. He shares them equally among 6 friends. How many does each get?

10 / 10

A book costs £4.75. How much do 3 books cost?

£12.25

£13.25

£14.25

£15.25

Your score is

The average score is 90%

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simplifying fractions

1 / 10

Which of the following fractions cannot be simplified further?

6/8

10/12

7/14

5/9

2 / 10

Simplify 9/27

1/9

3/9

1/3

2/3

3 / 10

Which fraction is equal to 16/24 in its simplest form?

4/6

2/3

3/4

8/12

4 / 10

What is 14/21 simplified?

2/7

7/14

2/3

1/3

5 / 10

Simplify 20/25

4/5

2/5

5/4

10/15

6 / 10

Which of these fractions is already in its simplest form?

8/12

5/10

3/7

9/15

7 / 10

What is the simplest form of 12/18

6/9

2/6

3/4

2/3

8 / 10

Simplify 10/15

1/5

2/5

2/3

5/10

9 / 10

what fraction is equivalent to 6/9 when simplified?

1/3

2/3

3/4

6/3

10 / 10

What is 4/8 in its simplest form

1/4

2/8

1/2

4/4

Your score is

The average score is 90%

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Ordering fractions

ordering fractions

1 / 9

Which fraction is between 1/4 and 1/2?

1/5

2/8

3/8

5/8

2 / 9

Which list shows fractions in descending order?

2/9, 2/7, 2/5

2/5, 2/7, 2/9

2/7, 2/5, 2/9

2/5, 2/9, 2/7

3 / 9

Order these fractions from smallest to largest 2/3, 3/6, 1/3

1/3, 3/6, 2/3

2/3, 3/6, 1/3

3/6, 1/3, 2/3

1/3, 2/3, 3/6

4 / 9

Which fraction is the smallest?

3/4

3/5

3/10

3/7

5 / 9

Which set shows fractions in order from smallest to largest?

1/8, 1/4, 1/2

1/2, 1/4, 1/8

1/4, 1/8, 1/2

1/2, 1/8, 1/4

6 / 9

Which of these fractions is equivalent to 1/2?

2/5

3/6

4/10

5/8

7 / 9

Put these fractions in order from largest to smallest 1/2, 1/4, 3/4

1/4, 1/2, 3/4

3/4, 1/2, 1/4

1/2, 3/4, 1/4

3/4, 1/4, 1/2

8 / 9

Which fraction is the largest?

2/3

2/5

2/8

2/10

9 / 9

Which set of fractions is in order from smallest to largest?

3/5, 1/5, 4/5

1/5, 3/5, 4/5

4/5, 3/5, 1/5

1/5, 4/5, 3/5

Your score is

The average score is 100%

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adding and subtracting fractions

1 / 10

Subtract 5/6 - 1/3

4/6

2/3

1/2

3/6

2 / 10

What is 1/2 + 1/4

2/6

3/4

1/6

2/4

3 / 10

Subtract 4/5 - 1/5

3/10

5/5

3/5

2/5

4 / 10

Add 2/9 + 5/9

7/18

10/9

7/9

3/9

5 / 10

What is 3/5 - 1/10

2/5

1/2

4/10

5/10

6 / 10

Add 1/3 + 1/6

2/9

1/2

2/6

3/6

7 / 10

What is 7/10 - 3/10

4/20

10/10

4/10

2/5

8 / 10

Add 1/4 + 2/4 . Give your answer in its simplest form.

3/8

2/4

3/4

1/2

9 / 10

What is 5/8 - 2/8

3/16

7/8

3/8

1/4

10 / 10

What is 2/7 +3/7

5/14

6/7

5/7

1/7

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The average score is 100%

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multiplying fractions

1 / 10

Which calculation is the same as 2/5 + 2/5 + 2/5 + 2/5 ?

2 x 4/5

4 x 2/5

8/20

4/5

2 / 10

What is 5/6 x 3

8/6

15/6

5/18

2/6

3 / 10

A recipe uses 3/4 cup of milk. How much milk is needed for 5 batches?

15/4 cups

8/4 cups

3/20 cups

3/4 cups

4 / 10

What is 3 x 4/9

12/9

7/9

4/3

Both A and C

5 / 10

What is 7 x 1/10

1/70

8/10

7/10

10/7

6 / 10

Multiply 2/7 x 6

12/7

8/7

12/42

2/13

7 / 10

What is 4 x 3/8

12/8

7/8

12/32

3/2

8 / 10

Which calculation gives the same result as 1/5 + 1/5 + 1/5

5 x 1/3

3 x 1/5

3/15

1/8

9 / 10

Work out 5 x 2/3

10/15

7/3

10/3

2/15

10 / 10

What is 3 x 1/4

1/12

3/4

4/3

1/7

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dividing fractions by whole numbers

Dividing fractions by whole numbers

1 / 10

What is 1/2÷ 2

1/4

2/2

1/1

3/2

2 / 10

1/3 ÷ 4

1/7

4/3

1/12

3/4

3 / 10

A pizza is cut into 5 equal slices. One slice is 1/5 of the pizza. If Mia shares her slice equally with her brother, what fraction of the whole pizza does each get?

1/10

2/5

1/2

1/15

4 / 10

What is 3/4 ÷ 3

3/12

1/4

9/4

2/4

5 / 10

Which calculation gives the same result as 2/5 ÷ 2?

2/5 x 2

2/5 x 1/2

5/2 x 2

2/10 x 5

6 / 10

What is 4/7 ÷ 2

2/7

4/14

8/7

Both A and B

7 / 10

What is 5/6 ÷ 5

1/6

25/6

5/30

Both A and C

8 / 10

Tom has 3/8 of a chocolate bar. He shares it equally between himself and two friends (3 people total). How much does each person get?

3/24

1/8

1/3

3/11

9 / 10

What is 2/9 ÷ 2?

1/9

2/18

4/9

Both A and B

10 / 10

Which of these is true?

1/4 ÷ 2= 1/2

3/5 ÷3=1/5

2/3 ÷ 2= 2/6

Both B and C

Your score is

The average score is 70%

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multiplying and dividing by 10,100,1000

Multiplying by 10,100,1000

1 / 10

What is 47 x 10?

470

407

4700

2 / 10

what is 5200 ÷ 100?

520

5.2

52000

3 / 10

Which calculation gives the answer 3.6?

36 x 10

360 ÷ 100

0.36 x 100

36 ÷ 1000

4 / 10

What is 8.4 x 100?

804

840

8400

5 / 10

What is 9000÷1000?

900

0.9

6 / 10

Which number is 100 times smaller than 720?

7.2

0.72

7200

7 / 10

What is 0.05 x 1000?

0.5

500

8 / 10

A box weighs 4.8kg. What is the total weight of 10 identical boxes?

48kg

480kg

4.80kg

0.48kg

9 / 10

What is 630÷10?

6.3

6300

0.63

10 / 10

Which statement is true?

2.7 x 100=27

500 ÷100=50

14x1000=14,000

90 ÷100=9

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multiplying and dividing with decimals

Multiplying and dividing with decimals

1 / 10

Which of these is not equal to 2.4?

0.6 x 4

24 ÷ 10

4.8 ÷ 2

0.8 x 0.3

2 / 10

A bag of sweets weighs 0.24kg. What is the total weight of 5 identical bags?

0.12 kg

1.22kg

1.2kg

12kg

3 / 10

Calculate 3.6 x 0.5

1.8

0.18

7.2

4 / 10

What is 15 ÷ 0.5 ?

7.5

0.3

5 / 10

Which calculation gives the largest answer?

0.4 x 0.5

1.2 ÷ 0.3

0.9 x 0.9

2.4 ÷ 8

6 / 10

Find the value of 0.07 x 8

0.56

5.6

0.056

7 / 10

What is 7.2 ÷ 0.9 ?

0.8

6.3

8 / 10

Which of these is equal to 0.25 x 100 ?

2.5

250

0.025

9 / 10

Calculate 4.8 ÷ 6

0.8

0.08

1.2

10 / 10

What is 0.6 x 5 ?

0.3

3.0

0.30

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rounding decimals

Rounding decimals

1 / 10

Which number rounds to 8 when rounded to the nearest whole number?

7.3

8.6

7.5

8.9

2 / 10

Round 5.42 to the nearest tenth (1 decimal place).

5.5

5.4

5.42

5.0

3 / 10

What is 3.7 rounded to the nearest whole number?

3.5

4 / 10

Which statement is **true**?

6.7845 rounded to 3 d.p. is 6.784

2.3099 rounded to 2 d.p. is 2.30

1.9995 rounded to 3 d.p. is 2.000

0.1234 rounded to 4 d.p. is 0.123

5 / 10

What is 12.9999 rounded to 2 decimal places?

12.99

13.00

12.100

13.01

6 / 10

Which of these numbers rounds to **0.500** when rounded to 3 decimal places?

0.4994

0.5006

0.4996

0.5012

7 / 10

A calculator shows 3.14159. What is this rounded to 2 decimal places?

3.14

3.15

3.142

3.1

8 / 10

Which number rounds to **2.90** when rounded to 2 decimal places?

2.893

2.899

2.905

2.910

9 / 10

Round 0.1258 to 3 decimal places.

0.125

0.126

0.130

0.1258

10 / 10

What is 4.736 rounded to 2 decimal places?

4.73

4.74

4.70

4.736

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converting fractions to decimals

Converting fractions to decimals

1 / 9

What fraction is equal to 0.05

5/10

1/5

5/100

50/100

2 / 9

What is 9/10 as a decimal?

0.09

0.9

9.0

1.9

3 / 9

A pizza is cut into 5 equal slices. One slice is 1/5 of the pizza. What is 1/5 as a decimal?

0.1

0.2

0.5

0.15

4 / 9

Which decimal is equal to 3/4

0.34

0.75

0.30

0.60

5 / 9

What is 1/2 as a decimal?

0.1

0.5

0.2

1.2

6 / 9

Which fraction is equal to 0.8?

1/8

8/100

4/5

2/8

7 / 9

What is 7/100 as a decimal?

0.7

0.07

7.00

0.007

8 / 9

Which decimal is equal to 1/4

0.14

0.4

0.25

0.75

9 / 9

What is 3/10 as a decimal?

0.03

0.3

3.0

0.33

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fractions,decimals,percentages

F,d,p

1 / 10

What is 7/10 as a percentage?

17%

70%

0.7%

2 / 10

Which set shows three equivalent values?

1/5, 0.1, 10%

2/10, 0.2, 20%

3/4, 0.34, 34%

1/2, 0.25, 50%

3 / 10

What is 10% as a fraction in its simplest form?

10/100

1/10

1/100

10/10

4 / 10

A shop offers a discount of 1/4 off. What is this as a percentage?

14%

40%

25%

75%

5 / 10

Which of the following is not equal to 0.6?

3/5

60%

6/100

60/100

6 / 10

What is 2/5 as a decimal and a percentage?

0.2 and 20%

0.4 and 40%

0.5 and 50%

0.25 and 25%

7 / 10

Which fraction is equivalent to 75%

3/5

1/4

3/4

7/10

8 / 10

What is 0.8 as a percentage?

80%

0.8%

88%

9 / 10

Which decimal is equivalent to 25%

0.025

0.25

2.5

0.75

10 / 10

What is 1/2 as a percentage?

12%

20%

50%

25%

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relative sizes ratios

Ratios

1 / 10

A bag of beads has red and white beads in the ratio 3:7. What fraction of the beads are red?

3/7

7/10

3/10

1/3

2 / 10

Which ratio is equivalent to 2:5?

4:7

6:10

10:25

5:2

3 / 10

In a class, the ratio of girls to boys is 4:5. If there are 20 girls, how many boys are there?

4 / 10

A smoothie recipe uses banana and strawberry in the ratio 1:2. If you use 3 bananas, how many strawberries do you need?

5 / 10

The ratio of green sweets to yellow sweets is 5:3. If there are 15 green sweets, how many yellow sweets are there?

6 / 10

A map uses a scale where 1 cm represents 10 km. What distance does 4 cm represent?

14 km

40 km

2.5 km

4 km

7 / 10

Which statement matches the ratio 3:2?

For every 2 boys, there are 3 girls.

For every 3 cats, there are 2 dogs.

For every 5 pencils, 3 are red.

3 out of 2 children like maths.

8 / 10

The ratio of blue marbles to red marbles is 1:4. If there are 5 blue marbles, how many red marbles are there?

9 / 10

A recipe uses 2 eggs for every 3 cups of flour. If you use 6 eggs, how many cups of flour do you need?

10 / 10

In a fruit bowl, there are 4 apples and 6 oranges. What is the ratio of apples to oranges?

4:10

6:4

2:3

4:6

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scale factors

Scale factors

1 / 11

A toy dinosaur is 15 cm tall. The real dinosaur was 9 metres tall. What is the scale factor used to make the toy?

1:6

1:60

1:90

1:15

2 / 11

A rectangle is 10 cm long and 4 cm wide. It is enlarged by a scale factor of 3. What are the new dimensions?

13 cm long and 7 cm wide

30 cm long and 12 cm wide

30 cm long and 4 cm wide

10 cm long and 12 cm wide

3 / 11

A shape is reduced by a scale factor of 0.4. One side was 15 cm long. What is its new length?

11 cm

6 cm

9 cm

15 cm

4 / 11

A map has a scale of 1 cm : 5 km. How many kilometres does 6 cm represent?

6 km

11 km

30 km

5 km

5 / 11

Two similar triangles have corresponding sides of 8 cm and 20 cm. What is the scale factor from the smaller to the larger triangle?

1.2

2.5

6 / 11

A photo is reduced by a scale factor of **½**. The original height was 24 cm. What is the new height?

12 cm

22 cm

48 cm

6 cm

7 / 11

A drawing uses a scale of 1:10. A line in the drawing is 7 cm long. What is the real length?

7 cm

17 cm

70 cm

0.7 cm

8 / 11

A rectangle has a width of 5 cm. It is enlarged by a scale factor of 5. What is the new width?

10 cm

20 cm

25 cm

1 cm

9 / 11

Shape A has a side length of 6 cm. Shape B is an enlargement of Shape A with a side length of 18 cm. What is the scale factor?

10 / 11

A model car is made using a scale factor of ¼(or 1:4). If the real car is 400 cm long, how long is the model?

100 cm

1600 cm

40 cm

200 cm

11 / 11

A shape is enlarged by a scale factor of 3. One side was 4 cm long. How long is it now?

7cm

12cm

4cm

1cm

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percentages of amounts

Percentages of amounts

1 / 9

A farmer has 200 sheep. 30% are lambs. How many lambs are there?

100

140

2 / 9

What is 5% of 140?

3 / 9

Maria saved 15% on a £80 tablet. How much did she save?

£8

£12

£15

£68

4 / 9

What is 1% of 400?

0.4

5 / 9

A class has 30 pupils. 20% of them wear glasses. How many pupils wear glasses?

6 / 9

What is 10% of 250?

2.5

100

7 / 9

What is 25% of 48?

8 / 9

A jacket costs £60. It is reduced by 10%. How much is the discount?

£6

£10

£50

£54

9 / 9

What is 50% of 80?

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comparing using percentages

Comparing percentages

1 / 8

Two classes took a test:

- Class A: 28 out of 40 pupils passed

- Class B: 72% passed

Which class had a higher pass rate?

Class A

Class B

Both the same

2 / 8

What is 75% of 240°?

120°

180°

200°

210°

3 / 8

A school has 300 pupils. 55% are girls. How many boys are there?

165

150

135

145

4 / 8

Which is larger?

- 40% of 150

- 35% of 180

40% of 150

35% of 180

They are equal

5 / 8

A runner completed 85% of a 40 km race. How many kilometres did she run?

30 km

32 km

34 km

36 km

6 / 8

What is 30% of 240 kg?

24 kg

48 kg

72 kg

96 kg

7 / 8

In a survey of 200 people:

- 60% prefer tea

- 45% prefer coffee

How many more people prefer tea than coffee?

120

8 / 8

Two shops offer discounts on a £90 jacket:

- Shop A: 20% off

- Shop B: £15 off

Which shop gives the bigger discount?

Shop A

Shop B

Both are the same

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relative sizes-scaling

Relative sizes - scaling

1 / 10

If 9 stickers cost £1.80, how much would 6 stickers cost?

£0.90

£1.00

£1.20

£1.50

2 / 10

A factory makes 480 toys in 6 hours. How many toys does it make in 1 hour?

3 / 10

5 identical bags of rice weigh 25 kg altogether. How much do 7 bags weigh?

30 kg

35 kg

40 kg

45 kg

4 / 10

A model car is built to a scale where 1 cm represents 20 cm in real life. If the real car is 400 cm long, how long is the model?

10 cm

20 cm

25 cm

40 cm

5 / 10

A printer prints 30 pages in 5 minutes. How many pages can it print in 15 minutes?

6 / 10

If 8 oranges weigh 1600 g, how much do 3 oranges weigh?

200 g

400 g

600 g

800 g

7 / 10

A box of 6 notebooks costs £9. How much does one notebook cost?

£1.20

£1.50

£2.00

£3.00

8 / 10

Tom walks 5 km in 1 hour. If he walks at the same speed, how far will he walk in 4 hours?

9 km

15 km

20 km

25 km

9 / 10

A recipe uses 3 eggs to make 12 cupcakes. How many eggs are needed to make 36 cupcakes?

10 / 10

If 4 pens cost £2.00, how much do 12 pens cost?

£4.00

£5.00

£6.00

£8.00

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unequal sharing

Unequal sharing

1 / 10

£120 is shared between Leo and Mia so that Leo gets **4 times** as much as Mia. How much does Mia get?

£20

£24

£30

£96

2 / 10

A box contains 48 chocolates. Ravi eats ¼ of them, and Priya eats ⅓ of the **original** amount. How many chocolates are left?

3 / 10

A ribbon 84 cm long is cut into two pieces so that one piece is **three times** as long as the other. How long is the longer piece?

21 cm

42 cm

63 cm

84 cm

4 / 10

Two friends share £50 so that one gets £10 more than the other. How much does the friend with **more** money get?

£20

£25

£30

£40

5 / 10

In a class of 36 pupils, ⅚ are wearing school jumpers. How many pupils are **not** wearing jumpers?

6 / 10

Three children share 60 stickers. Zara gets ½, Liam gets ⅓, and the rest go to Oscar. How many stickers does Oscar get?

7 / 10

A prize of £84 is shared so that Maya gets ⅔ and Sam gets the rest. How much does Sam get?

£21

£28

£42

£56

8 / 10

Tom has twice as many marbles as Jack. Together they have 27 marbles. How many marbles does Tom have?

9 / 10

A bag of 40 sweets is shared so that Lily gets ¾ of the sweets. How many sweets does she get?

10 / 10

£60 is shared between Ava and Ben in the ratio 2:3. How much does Ben get?

£24

£30

£36

£40

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The average score is 27%

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sequences

Sequences

1 / 10

A sequence starts at 5 and follows the rule: **multiply by 2, then subtract 1**.

What is the third term?

2 / 10

What is the 6th term in this sequence?

Start at 10, subtract 3 each time

–5

–2

3 / 10

Which number does **not** belong in this sequence?

3, 7, 11, 15, 19, 24

4 / 10

What is the rule for this descending sequence?

100, 50, 25, 12.5

Subtract 50

Divide by 2

Subtract 25

Divide by 4

5 / 10

What is the missing term in this sequence?

½, 1, 1½, ___, 2½

1⅔

2¼

6 / 10

Which number comes next?

1, 4, 9, 16, 25, ___

7 / 10

What are the next two numbers in the sequence?

0.2, 0.5, 0.8, ___, ___

1.0, 1.3

1.1, 1.4

0.9, 1.0

1.2, 1.5

8 / 10

What is the rule for this sequence?

3, 6, 12, 24, 48

Add 3

Multiply by 2

Add 6

Multiply by 3

9 / 10

What is the missing number?

50, 44, 38, ___, 26

10 / 10

What is the next number in this sequence?

6, 11, 16, 21, ___

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missing number problems

Missing number problem

1 / 10

Solve:

144 ÷ ? = 12

2 / 10

What is the missing number?

5 x (◻️ - 4 )= 35

3 / 10

Which number balances this equation?

7 x 8 = 100 - ◻️

4 / 10

Find the missing number:

250 = ◻️ + 175

100

125

5 / 10

What number completes the equation?

◻️÷ 6 = 13

6 / 10

Solve for the missing number:

(4+5) x ◻️= 63

7 / 10

Which number makes this statement true?

150 - ◻️ = 86

8 / 10

What is the value of

◻️ x 9 = 108

9 / 10

Find the missing number:

84 ÷ ◻️ = 7

10 / 10

What number completes this equation?

27 +□ = 50

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Two missing number problems

1 / 10

If ◻️+ ⚪️= 100 and ◻️- ⚪️= 20 , what is the value of ◻️?

2 / 10

Two numbers multiply to give **56**. One number is **1 more** than the other. What are the numbers?

6 and 7

7 and 8

8 and 9

5 and 6

3 / 10

Which pair of whole numbers has:

- A total of **25**

- A product of **150**

10 and 15

12 and 13

5 and 20

8 and 17

4 / 10

The sum of two numbers is **72**. One number is **5 times** the other. What is the larger number?

5 / 10

Solve for ◻️and ⚪️

◻️ x 5 = 60

⚪️ x 4 = ◻️

◻️= 10, ⚪️= 2.5

◻️= 12, ⚪️= 3

◻️= 15, ⚪️= 4

◻️= 20, ⚪️= 5

6 / 10

Which pair satisfies both conditions?

- Their product is **48**

- Their difference is **2**

6 and 8

4 and 12

3 and 16

5 and 9

7 / 10

Two numbers add up to 36. One number is **twice** the other. What are the numbers?

12 and 24

10 and 26

18 and 18

14 and 22

8 / 10

Which pair completes both equations?

◻️+ ⚪️= 50

◻️= 4 x ⚪️

◻️= 30, ⚪️= 20

◻️= 40, ⚪️= 10

◻️= 35, ⚪️= 15

◻️= 45, ⚪️= 5

9 / 10

Find the two missing numbers:

◻️ x ⚪️= 36

◻️ ÷ ⚪️= 4

◻️= 9, ⚪️= 4

◻️= 12, ⚪️= 3

◻️= 18, ⚪️= 2

◻️= 6, ⚪️= 6

10 / 10

1. Which pair of numbers makes this equation true?

◻️+ ⚪️= 20

◻️- ⚪️= 4

◻️= 10, ⚪️= 10

◻️= 12, ⚪️= 8

◻️= 14, ⚪️= 10

◻️= 16, ⚪️= 12

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formulas

Formulas

1 / 10

A sequence is made using the formula:

**Term = 4n – 1**

What is the **first term** (when n = 1)?

2 / 10

The number of legs in a group of stools is:

Legs = 3 × number of stools

How many legs do 12 stools have?

3 / 10

A formula says: **y = 5x – 2**

If **x = 3**, what is **y**?

4 / 10

The total cost of apples is:

Total = number of apples × 30p

How much do 8 apples cost?

80p

£2.10

£2.40

£3.00

5 / 10

A number machine uses this rule:

**Output = (Input × 4) – 3**

If the input is 5, what is the output?

6 / 10

The area of a rectangle is:

Area = length × width

What is the area of a rectangle that is 9 m long and 4 m wide?

13 m²

26 m²

32 m²

36 m²

7 / 10

A sequence follows the rule: **nth term = 2n + 1**

What is the 5th term?

8 / 10

The cost of hiring a bike is given by the formula:

Cost = £2 + (£1 × number of hours)

How much does it cost to hire the bike for 5 hours?

£5

£6

£7

£10

9 / 10

A rule says: “Multiply a number by 3, then add 5.”

If the number is 6, what is the result?

10 / 10

The formula for the perimeter of a square is:

Perimeter = 4 × side length

What is the perimeter of a square with side length 7 cm?

14 cm

21 cm

28 cm

32 cm

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units

Units

1 / 12

A car travels 25 miles. Approximately how many kilometres is this?

32 km

40 km

48 km

50 km

2 / 12

A sign says: “Next town: 16 km”. About how many miles is this?

5 miles

8 miles

10 miles

13 miles

3 / 12

Which of the following is the best estimate for the mass of a small apple?

15 g

150 g

1.5 kg

15 kg

4 / 12

A bottle contains 0.75 litres of juice. How many millilitres is this?

7.5 ml

75 ml

750 ml

7,500 ml

5 / 12

Which unit would you use to measure the distance between two cities?

Metres

Centimetres

Kilometres

Millimetres

6 / 12

How many grams are in 4.8 kilograms?

48 g

480 g

4,080 g

4,800 g

7 / 12

Which of these is a unit of length?

Kilogram

Millilitre

Mile

Degree

8 / 12

A jug holds 1,200 ml of water. How many litres is this?

12 litres

1.2 litres

0.12 litres

120 litres

9 / 12

How many centimetres are in 2.5 metres?

25 cm

205 cm

250 cm

2,500 cm

10 / 12

Which is the most appropriate unit to measure the mass of a bag of sugar?

Grams (g)

Kilograms (kg)

Tonnes (t)

Milligrams (mg)

11 / 12

How many millilitres are in 3 litres?

30 ml

300 ml

3,000 ml

30,000 ml

12 / 12

Which unit would you use to measure the length of a pencil?

Kilometres (km)

Metres (m)

Centimetres (cm)

Millilitres (ml)

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area of a triangle

Area of a triangle

1 / 10

Which formula is correct for the area of a triangle?

base × height

(base + height) ÷ 2

(base × height) ÷ 2

base ÷ height

2 / 10

A triangle’s base is doubled, but the height stays the same. What happens to the area?

It stays the same

It doubles

It halves

It quadruples

3 / 10

Two triangles have the same base and height. Which statement is true?

They must be the same shape

They must be right-angled

They have the same area

They have the same perimeter

4 / 10

What is the area of this triangle?

Base = 12 mm, height = 9 mm

108 mm²

54 mm²

45 mm²

21 mm²

5 / 10

A triangle has an area of 35 cm² and a height of 7 cm. What is the length of its base?

5 cm

10 cm

14 cm

20 cm

6 / 10

Which triangle has the largest area?

Base = 6 cm, height = 4 cm

Base = 5 cm, height = 5 cm

Base = 10 cm, height = 2 cm

Base = 7 cm, height = 3 cm

7 / 10

The area of a triangle is 24 cm². The base is 8 cm. What is the perpendicular height?

3 cm

6 cm

12 cm

16 cm

8 / 10

A right-angled triangle has sides of 3 cm, 4 cm, and 5 cm. The base is 4 cm and the height is 3 cm. What is its area?

6 cm²

7.5 cm²

12 cm²

15 cm²

9 / 10

What is the area of a triangle with base 8 m and height 5 m?

13 m²

20 m²

40 m²

16 m²

10 / 10

A triangle has a base of 10 cm and a perpendicular height of 6 cm. What is its area?

16 cm²

30 cm²

60 cm²

36 cm²

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area of a parallelogram

Area of a parallelogram

1 / 10

A parallelogram has a base of 15 cm and a slanted side of 10 cm. The perpendicular height is 6 cm. What is its area?

60 cm²

90 cm²

150 cm²

100 cm²

2 / 10

If the base of a parallelogram is doubled and the height is halved, what happens to the area?

It doubles

It halves

It stays the same

It quadruples

3 / 10

Which shape has the same area formula as a parallelogram?

Triangle

Rectangle

Circle

Trapezium

4 / 10

The area of a parallelogram is 96 cm². The perpendicular height is 8 cm. What is the base?

8 cm

10 cm

12 cm

16 cm

5 / 10

Two parallelograms have the same base and perpendicular height. Which statement is true?

They must look identical

They have the same area

They must be rectangles

They have the same perimeter

6 / 10

A parallelogram has a base of 10 mm and a height of 4 mm. What is its area?

14 mm²

20 mm²

28 mm²

40 mm²

7 / 10

Which of the following is the correct formula for the area of a parallelogram?

(base + height) × 2

base × slant side

base × perpendicular height

(base × height) ÷ 2

8 / 10

The area of a parallelogram is 54 cm². Its base is 9 cm. What is the perpendicular height?

4 cm

5 cm

6 cm

9 cm

9 / 10

What is the area of a parallelogram with base 12 m and height 7 m?

19 m²

38 m²

72 m²

84 m²

10 / 10

A parallelogram has a base of 8 cm and a perpendicular height of 5 cm. What is its area?

13 cm²

26 cm²

40 cm²

80 cm²

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perimeters and areas

Perimeters and areas

1 / 10

A garden is 15 m long and 8 m wide. What is the total length of fencing needed to go around it?

23 m

46 m

120 m

60 m

2 / 10

A square has an area of 36 m². What is its perimeter?

12 m

24 m

36 m

48 m

3 / 10

What is the area of a parallelogram with base 9 cm and perpendicular height 6 cm?

15 cm²

27 cm²

45 cm²

54 cm²

4 / 10

A rectangle has a perimeter of 30 cm. Its length is 10 cm. What is its width?

5 cm

10 cm

15 cm

20 cm

5 / 10

Which statement is **true**?

Perimeter is measured in square units

Area is the distance around a shape

Area is measured in square units (e.g., cm²)

Perimeter and area are always the same number

6 / 10

A triangle has a base of 10 cm and a perpendicular height of 8 cm. What is its area?

18 cm²

40 cm²

80 cm²

36 cm²

7 / 10

What is the perimeter of this shape?

(Sides: 6 cm, 4 cm, 6 cm, 4 cm)

10 cm

20 cm

24 cm

30 cm

8 / 10

The area of a rectangle is 60 cm². Its length is 12 cm. What is its width?

5 cm

6 cm

10 cm

15 cm

9 / 10

A square has sides of 7 m. What is its area?

14 m²

28 m²

49 m²

56 m²

10 / 10

What is the perimeter of a rectangle that is 8 cm long and 5 cm wide?

13 cm

26 cm

40 cm

30 cm

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volumes of cubes and cuboids

Volumes of cubes and cuboids

1 / 10

A storage container is 2 m long, 1 m wide, and 1.5 m high. What is its volume in cubic metres?

2 m³

2.5 m³

3 m³

4.5 m³

2 / 10

How many 1 cm³ cubes would fit inside a cuboid that is 7 cm × 2 cm × 3 cm?

3 / 10

Two boxes are the same size. Box A is measured in cm, Box B in m. Which statement is true about their volumes?

They have the same numerical value

Box B’s volume number is larger

Box A’s volume number is larger

You cannot compare them

4 / 10

A cuboid has a volume of 180 cm³. Its length is 9 cm and its width is 5 cm. What is its height?

3 cm

4 cm

5 cm

6 cm

5 / 10

Which unit is used to measure volume?

cm²

cm³

6 / 10

The volume of a cube is 64 cm³. What is the length of one side?

4 cm

6 cm

8 cm

16 cm

7 / 10

A box is 10 cm long, 6 cm wide, and 4 cm tall. What is its volume?

20 cm³

100 cm³

200 cm³

240 cm³

8 / 10

Which formula is used to find the volume of a cuboid?

length + width + height

(length × width) + height

length × width × height

(length + width) × height

9 / 10

A cube has sides of 5 cm. What is its volume?

15 cm³

25 cm³

75 cm³

125 cm³

10 / 10

What is the volume of a cuboid that is 4 cm long, 3 cm wide, and 2 cm high?

9 cm³

12 cm³

24 cm³

36 cm³

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shape properties and 3d shapes

Shape properties and 3d shapes

1 / 10

Which 3D shape has **2 circular faces and 1 curved face**?

Cone

Sphere

Cylinder

Pyramid

2 / 10

How many lines of symmetry does a regular hexagon have?

3 / 10

Which shape has **interior angles that add up to 180°**?**

Square

Rectangle

Triangle

Pentagon

4 / 10

What is the name of a 3D shape with 6 rectangular faces?

Cube

Square-based pyramid

Cuboid

Triangular prism

5 / 10

Which of these is **not** a quadrilateral?

Trapezium

Pentagon

Parallelogram

Rhombus

6 / 10

How many edges does a square-based pyramid have?

7 / 10

Which shape has **only one line of symmetry**?**

Square

Rectangle

Isosceles triangle

Equilateral triangle

8 / 10

How many faces does a triangular prism have?

9 / 10

Which 2D shape has **4 equal sides and 4 right angles?

Rectangle

Rhombus

Square

Parallelogram

10 / 10

How many vertices does a cube have?

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making 3d shapes

Making 3d shapes

1 / 10

Which statement is **true** about nets of 3D shapes?

All nets must be symmetrical

A net must have the same number of faces as the 3D shape

A net can have curved edges only if the shape is a sphere

You can make a cube from any 6 connected squares

2 / 10

A cereal box is unfolded into a flat shape. What does its net look like?

6 squares

6 rectangles (including squares)

4 rectangles and 2 squares

2 circles and a rectangle

3 / 10

Which net will **not** fold into a closed 3D shape?

6 squares arranged in a “T” shape (valid cube net)

4 triangles meeting at a point (pyramid net)

1 circle and 1 triangle

2 triangles and 3 rectangles (prism net)

4 / 10

How many faces does the 3D shape have if its net shows **1 square and 4 triangles**?

5 / 10

When you fold this net, you get a 3D shape with 5 faces. The net shows 2 triangles and 3 rectangles. What is the shape?

Square-based pyramid

Triangular prism

Pentagonal pyramid

Cuboid

6 / 10

Which 3D shape does this net make?

(Net: 2 circles and 1 rectangle)

Cone

Cylinder

Sphere

Hemisphere

7 / 10

A net for a square-based pyramid must have:

4 triangles and 1 square

4 squares and 1 triangle

5 triangles

6 squares

8 / 10

Which of these **cannot** be a net of a cube?

A cross shape with 6 squares

4 squares in a row with 1 square attached to the second and third

6 squares in a straight line

A “T” shape with 6 squares arranged correctly

9 / 10

How many rectangles are needed in the net of a **triangular prism**?

10 / 10

Which 3D shape can be made from a net that has **6 identical squares**?

Cuboid

Square-based pyramid

Cube

Triangular prism

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circles

Circles

1 / 10

Which diagram shows a **diameter**?

(Imagine four options described)

A line from centre to edge

A line from edge to edge **through the centre**

A curved line around the circle

A line from edge to edge **not through the centre**

2 / 10

Which part of the circle is **always** shorter than the diameter?

Circumference

Radius

A chord that is not a diameter

Both B and C

3 / 10

If the radius of a circle is 9 mm, what is the diameter?

4.5 mm

9 mm

18 mm

27 mm

4 / 10

Look at this circle. The line labelled "r" goes from the centre to the edge. What is "r" called?

Diameter

Circumference

Radius

Sector

5 / 10

Which of these lines **must** pass through the centre of the circle?

Radius

Chord

Diameter

Arc

6 / 10

A circle has a diameter of 14 cm. What is its radius?

3.5 cm

7 cm

14 cm

28 cm

7 / 10

What is the name of the distance around the outside of a circle?

Radius

Diameter

Perimeter

Circumference

8 / 10

Which statement is **true**?

The radius is twice the diameter

The diameter is half the radius

The diameter is twice the radius

The circumference is the same as the diameter

9 / 10

If the radius of a circle is 5 cm, what is the diameter?

2.5 cm

5 cm

10 cm

15 cm

10 / 10

What is the name of the line from the centre of a circle to the edge?

Diameter

Circumference

Radius

Chord

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angles in shapes

Angles in shapes

1 / 10

In a **square**, what is the size of each interior angle?

45°

60°

90°

120°

2 / 10

A triangle has angles of 35° and 110°. What type of triangle is it?

Acute

Right-angled

Obtuse

Equilateral

3 / 10

Which shape **always** has four right angles?

Rhombus

Parallelogram

Rectangle

Trapezium

4 / 10

A regular pentagon has interior angles that add up to 540°. What is the size of **one angle**?

90°

108°

120°

135°

5 / 10

Which type of triangle **always** has one angle of 90°?

Isosceles

Equilateral

Scalene

Right-angled

6 / 10

In an **equilateral triangle**, what is the size of each angle?

45°

60°

90°

120°

7 / 10

A quadrilateral has three angles: 90°, 90°, and 100°. What is the fourth angle?

60°

80°

90°

100°

8 / 10

What is the total of the interior angles in **any quadrilateral**?**

180°

270°

360°

540°

9 / 10

A triangle has angles of 50° and 60°. What is the size of the third angle?

60°

70°

80°

90°

10 / 10

What is the total of the interior angles in **any triangle**?

90°

180°

270°

360°

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angles rules

Angle rules

1 / 10

An angle measures 270°. What is it called?

Obtuse

Straight

Reflex

Right

2 / 10

Angles A and B are **vertically opposite**. Angle A = 115°. What is angle B?

65°

115°

180°

245°

3 / 10

How many right angles are in a full turn?

4 / 10

Which of these is a **reflex angle**?

45°

90°

170°

210°

5 / 10

Two straight lines cross. One angle is 50°. What is the size of the **vertically opposite angle**?

40°

50°

130°

180°

6 / 10

Which type of angle is **greater than 90° but less than 180°**?

Acute

Right

Obtuse

Reflex

7 / 10

Three angles meet at a point. They are 120°, 90°, and 80°. What is the fourth angle?

60°

70°

80°

90°

8 / 10

What is the total of the angles **around a point**?

90°

180°

270°

360°

9 / 10

Two angles lie on a straight line. One is 65°. What is the other?

65°

105°

115°

125°

10 / 10

What is the size of an angle that is **half a full turn**?

90°

180°

270°

360°

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coordinates

Coordinates

1 / 9

What are the coordinates of the origin?

(0, 1)

(1, 0)

(0, 0)

(1, 1)

2 / 9

A rectangle has vertices at (–2, 1), (3, 1), and (3, –2) What are the coordinates of the fourth vertex?

(–2, –2)

(–2, 3)

(1, –2)

(–3, –2)

3 / 9

Which pair of coordinates are **2 units apart vertically**?

(3, 4) and (5, 4)

(3, 4) and (3, 6)

(3, 4) and (4, 5)

(3, 4) and (1, 4)

4 / 9

A point is reflected in the y-axis. Its original coordinate is (4, 2). What is its new coordinate?

(–4, 2)

(4, –2)

(–4, –2)

(2, 4)

5 / 9

Which point is **highest up** on the grid?

(2, 5)

(4, 3)

(1, 6)

(5, 2)

6 / 9

A triangle has vertices at (2, 3), (5, 3), and (2, 7). What type of triangle is it?

Equilateral

Isosceles

Right-angled

Scalene

7 / 9

Three vertices of a square are at (1, 1), (1, 4), and (4, 4). What are the coordinates of the fourth vertex?

(4, 1)

(0, 1)

(1, 0)

(4, 0)

8 / 9

A point is at (5, 2). It is moved **3 squares left and 4 squares up**. What are its new coordinates?

(2, 6)

(8, 6)

(2, –2)

(5, 6)

9 / 9

What are the coordinates of the point shown below?

(It is 4 units right along the x-axis and 3 units up the y-axis.)

(3, 4)

(4, 3)

(4, 4)

(3, 3)

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reflections

Reflections

1 / 10

The mirror line is the **y-axis**. A point is 4 units to the right of the mirror line. Where is its reflection?

4 units above the mirror line

4 units below the mirror line

4 units to the left of the mirror line

On the mirror line

2 / 10

A triangle has vertices at (1, 1), (1, 3), and (4, 1). It is reflected in the **x-axis**. What are the coordinates of the reflected triangle?

(–1, 1), (–1, 3), (–4, 1)

(1, –1), (1, –3), (4, –1)

(1, 1), (1, –3), (4, 1)

(–1, –1), (–1, –3), (–4, –1)

3 / 10

A letter “D” is reflected in a **vertical mirror line**. What does the reflection look like?

a backwards D

4 / 10

A shape has a vertex at (–3, 2). It is reflected in the **y-axis**. What are the coordinates of the image?

(3, 2)

(–3, –2)

(3, –2)

(–2, 3)

5 / 10

Which of these **must** be true for a shape and its reflection?

They are the same size and shape

They face the same direction

They are joined together

They overlap

6 / 10

A square is drawn to the **right** of a vertical mirror line. Where will its reflection appear?

Above the mirror line

Below the mirror line

To the left of the mirror line

On top of the original square

7 / 10

A point is at (5, 4). It is reflected in the **x-axis**. What are its new coordinates?

(–5, 4)

(5, –4)

(–5, –4)

(4, 5)

8 / 10

Which diagram shows a correct reflection in a **horizontal mirror line**?

*(Imagine four options)*

Shape flipped upside down

Shape flipped left to right

Shape moved to the right

Shape rotated 90°

9 / 10

A triangle has a vertex at (2, 3). It is reflected in the **y-axis**. What are the coordinates of the reflected vertex?

(–2, 3)

(2, –3)

(–2, –3)

(3, 2)

10 / 10

A shape is reflected in a **vertical mirror line**. Which statement is true?

The shape moves up

The shape flips left–right

The shape flips top–bottom

The shape rotates

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translation

Translation

1 / 10

A rectangle is translated. What **does not** change?

Its position

Its size and shape

Its coordinates

Its orientation

2 / 10

Which pair of points shows a translation of **(0, –5)**?

(2, 3) → (2, 8)

(2, 3) → (7, 3)

(2, 3) → (2, –2)

(2, 3) → (–3, 3)

3 / 10

A shape is translated **6 squares right and 1 square down**. Which vector describes this?

(6, 1)

(–6, –1)

(6, –1)

(1, –6)

4 / 10

Point P is at (–1, –3). After a translation of **(2, 4)**, where is the new point?

(1, 1)

(–3, 1)

(1, –7)

(–1, 1)

5 / 10

A square is translated by **(–4, 5)**. What does this mean?

4 right, 5 down

4 left, 5 up

4 up, 5 left

5 right, 4 down

6 / 10

Which diagram shows a **translation** (not a reflection or rotation)?

Shape flipped over a line

Shape turned around a point

Shape slid to a new position without turning

Shape made larger

7 / 10

A triangle has vertices at (0, 0), (2, 0), and (1, 2). It is translated by **(3, –1)**. What are the new coordinates?

(3, –1), (5, –1), (4, 1)

(–3, 1), (–1, 1), (–2, 3)

(3, 1), (5, 1), (4, 3)

(0, 0), (2, 0), (1, 2)

8 / 10

Which statement correctly describes the translation from point A (1, 4) to point B (–2, 6)?

3 left, 2 up

3 right, 2 down

2 left, 3 up

3 left, 2 down

9 / 10

A point is at (2, 5). It is translated **5 squares left and 2 squares down**. What are its new coordinates?

(7, 3)

(–3, 3)

(–3, 7)

(3, –3)

10 / 10

A shape is moved 4 squares right and 3 squares up. How would you describe this translation?

(4, –3)

(–4, 3)

(3, 4)

(4, 3)

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pie charts

Pie charts

1 / 10

A pie chart shows time spent on activities. The “Homework” section is 72°. What fraction of the day is this?

⅕

⅓

2 / 10

Which pie chart could show the following results?

- Red: 50%

- Blue: 25%

- Green: 25%

Three equal slices

One half, two quarters

One large, two tiny slices

Four equal slices

3 / 10

A pie chart shows that 60 children took part in a survey. The “Bike” section is 60°. How many children cycle to school?

4 / 10

A pie chart has four slices: A, B, C, and D.

- A = 25%

- B = 35%

- C = 15%

What percentage is D?

15%

20%

25%

30%

5 / 10

In a class of 30 pupils, ⅕ chose “Reading” as their favourite activity. What angle should the “Reading” slice be in a pie chart?

36°

60°

72°

90°

6 / 10

A pie chart shows favourite subjects. The “Maths” slice is 120°. What percentage of the chart is this?

25%

30%

33⅓%

40%

7 / 10

Which statement is **true** about a pie chart?

Each slice must be the same size

The whole pie chart represents 100%

You can only show up to 4 categories

Pie charts show changes over time

8 / 10

A survey of 60 children shows favourite fruits. The “Apples” slice is 40%. How many children chose apples?

9 / 10

In a pie chart, the “Football” section is 90°. What fraction of the whole chart is this?

⅓

10 / 10

A pie chart shows how 40 pupils travel to school. The “Bus” section is **½** of the pie chart. How many pupils take the bus?

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line graphs

Linear graphs

1 / 10

Which statement is **true** about line graphs?

They are used to show data that changes over time

They show parts of a whole

They use bars to show frequency

They are the same as bar charts

2 / 10

A line graph shows a baby’s weight from birth to 12 months. The line goes steadily upwards. What does this show?

The baby lost weight

The baby’s weight stayed the same

The baby gained weight over time

The baby’s weight went up and down

3 / 10

The y-axis on a line graph goes from 0 to 50 in steps of 5. What should the label be if the graph shows test scores?

Time (days)

Score (%)

Number of pupils

Subject

4 / 10

A line graph shows rainfall (mm) over a week. The highest point is on Friday. What does this mean?

It rained the most on Friday

It didn’t rain on Friday

The graph is wrong

It rained the same every day

5 / 10

When drawing a line graph, what should you **always** include?

A title and labelled axes

Coloured pencils

A pie chart next to it

Only whole numbers

6 / 10

A line graph shows a car’s journey:

- 9 a.m.: 0 km

- 10 a.m.: 60 km

- 11 a.m.: 60 km

- 12 p.m.: 100 km

How long did the car stop?

30 minutes

1 hour

2 hours

It didn’t stop

7 / 10

Which of these is **best** represented by a line graph?

Favourite colours of pupils

Number of books read by each child

Temperature every hour for a day

Types of pets in a class

8 / 10

A line graph has time (hours) on the x-axis and distance (km) on the y-axis. A flat (horizontal) line means:

The object is moving fast

The object is moving backwards

The object has stopped

The object is speeding up

9 / 10

On a line graph showing plant growth over 4 weeks, the height at Week 3 is 12 cm. What does the point at Week 3 represent?

The plant died

The plant was 12 cm tall at Week 3

The plant grew 12 cm in Week 3

The plant will be 12 cm next week

10 / 10

A line graph shows the temperature at 6 a.m., 12 p.m., and 6 p.m.

- 6 a.m.: 8°C

- 12 p.m.: 18°C

- 6 p.m.: 14°C

Between which times did the temperature rise the most?

6 a.m. to 12 p.m

12 p.m. to 6 p.m

6 a.m. to 6 p.m

It stayed the same

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the eman

The mean

1 / 10

The mean height of 5 plants is 30 cm. One plant is removed, and the mean height of the remaining 4 is 28 cm. What was the height of the removed plant?

30 cm

32 cm

38 cm

40 cm

2 / 10

A pupil’s test scores are 85, 90, and 95. What is the mean score?

100

3 / 10

The mean of two numbers is 9. One number is 13. What is the other number?

4 / 10

A shop sells 20, 25, 30, and 25 apples on four days. What is the mean number of apples sold per day?

100

5 / 10

Which statement about the mean is **true**?

The mean is always one of the numbers in the set

The mean is the middle number

The mean is the total divided by the number of values

The mean is the most common value

6 / 10

The mean of four numbers is 15. Three of the numbers are 12, 18, and 14. What is the fourth number?

7 / 10

A runner records her times (in minutes) for 5 runs:

12, 14, 10, 13, 11

What is her mean time?

8 / 10

The mean of three numbers is 12. What is the total of the three numbers?

9 / 10

Four friends scored 8, 10, 6, and 8 in a game. What is their mean score?

10 / 10

What is the mean of these numbers?

5, 7, 9

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