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Fractions, Decimals and Percentages
Worksheet – Adding and Subtracting Fractions

Worksheet – Adding and Subtracting Fractions

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Fractions, Decimals and Percentages

Last updated: September 7, 2025

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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

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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

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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

Your score is

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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?

Your score is

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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?

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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

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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

Your score is

The average score is 90%

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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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The average score is 100%

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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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The average score is 100%

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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

Your score is

The average score is 90%

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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

Your score is

The average score is 50%

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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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The average score is 100%

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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

Your score is

The average score is 100%

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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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The average score is 100%

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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

Your score is

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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The average score is 100%

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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

Your score is

The average score is 50%

Worksheet – Adding and Subtracting Fractions

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