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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?

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?

4 / 10

4. Write 4,678,205 in words.

5 / 10

 

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

6 / 10

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

7 / 10

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

8 / 10

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

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?

Your score is

The average score is 53%

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Comparing Numbers

1 / 12

True or false: 9,999 > 10,000

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?

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?

8 / 12

What is the missing digit in 5_8 > 578?

9 / 12

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

10 / 12

 Which number is the smallest?

11 / 12

Which symbol correctly completes the statement: 789 ___ 798?

12 / 12

Which number is greater than 456?

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

2 / 10

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

3 / 10

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

4 / 10

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

5 / 10

Order: £4.50, £4.05, £5.40

   Cheapest to most expensive:

6 / 10

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

7 / 10

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

8 / 10

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

9 / 10

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

   Smallest to largest:

10 / 10

Which set is in **ascending order**?

Your score is

The average score is 55%

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Rounding numbers

1 / 10

Round 789 to the nearest 10.

2 / 10

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

3 / 10

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

4 / 10

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

5 / 10

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

6 / 10

Round 9,972 to the nearest 100.

7 / 10

What is 1,236 rounded to the nearest 10?

8 / 10

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

9 / 10

Round 328 to the nearest 100.

10 / 10

What is 47 rounded to the nearest 10?

Your score is

The average score is 100%

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Calculating negative numbers

1 / 12

Which is **not equal to –10**?

2 / 12

What is **–7 – 3 + 5**?

3 / 12

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

4 / 12

Which is **warmer**: –8°C or –12°C?

5 / 12

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

6 / 12

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

7 / 12

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

8 / 12

What is **–(–8) + (–3)**?

9 / 12

What is **5 + (–9)**?

10 / 12

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

11 / 12

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

12 / 12

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

Your score is

The average score is 91%

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Multiplication 1

1 / 9

What is 4 × 11?

2 / 9

What is 1 × 200?

3 / 9

What is 10 × 7?

4 / 9

What is 0 × 12?

5 / 9

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

6 / 9

What is 9 × 8?

7 / 9

Which number sentence is correct?

8 / 9

What is 6 × 5?

9 / 9

What is 4 × 7?

Your score is

The average score is 100%

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Written multiplication 2

1 / 14

What is 35 × 47?

2 / 14

What is 41 × 75?

3 / 14

Find the product of 17 × 38.

4 / 14

What is 23 × 14?

5 / 14

What is 3 × 15?

6 / 14

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

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?

12 / 14

What is 7 × 11?

13 / 14

What is 10 × 12?

14 / 14

What is 4 × 11?

Your score is

The average score is 100%

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Written multiplication 3

1 / 10

What is 83 × 114?

2 / 10

Multiply 52 × 157

3 / 10

What is 77 × 129?

4 / 10

Calculate 69 × 136

5 / 10

Find 54 × 148

6 / 10

What is 86 × 117?

7 / 10

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

8 / 10

Multiply 48 × 159

9 / 10

Calculate 63 × 137.

10 / 10

What is 72 × 145?

Your score is

The average score is 100%

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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

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

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?

5 / 11

What is £3.50 + £2.75?

6 / 11

How many minutes are in 2 hours?

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

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?

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?

Your score is

The average score is 73%

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solving calculation problems

1 / 10

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

2 / 10

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

3 / 10

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

4 / 10

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

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?

8 / 10

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

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?

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?

2 / 10

Simplify 9/27

3 / 10

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

4 / 10

What is 14/21 simplified?

5 / 10

Simplify 20/25

6 / 10

Which of these fractions is already in its simplest form?

7 / 10

What is the simplest form of 12/18

8 / 10

Simplify 10/15

9 / 10

what fraction is equivalent to 6/9 when simplified?

10 / 10

What is 4/8 in its simplest form

Your score is

The average score is 90%

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ordering fractions

1 / 9

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

2 / 9

Which list shows fractions in descending order?

3 / 9

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

4 / 9

Which fraction is the smallest?

5 / 9

Which set shows fractions in order from smallest to largest?

6 / 9

Which of these fractions is equivalent to 1/2?

7 / 9

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

8 / 9

Which fraction is the largest?

9 / 9

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

Your score is

The average score is 100%

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adding and subtracting fractions

1 / 10

Subtract 5/6 - 1/3

2 / 10

What is 1/2 + 1/4

3 / 10

Subtract 4/5 - 1/5

4 / 10

Add 2/9 + 5/9

5 / 10

What is 3/5 - 1/10

6 / 10

Add 1/3 + 1/6

7 / 10

What is 7/10 - 3/10

8 / 10

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

9 / 10

What is 5/8 - 2/8

10 / 10

What is 2/7 +3/7

Your score is

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 / 10

What is 5/6 x 3

3 / 10

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

4 / 10

What is 3 x 4/9

5 / 10

What is  7 x 1/10

6 / 10

Multiply 2/7 x 6

7 / 10

What is 4 x 3/8

8 / 10

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

9 / 10

Work out 5 x 2/3

10 / 10

What is 3 x 1/4

Your score is

The average score is 100%

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Dividing fractions by whole numbers

1 / 10

What is 1/2÷ 2

2 / 10

1/3 ÷ 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?

4 / 10

What is 3/4 ÷ 3

5 / 10

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

6 / 10

What is 4/7 ÷ 2

7 / 10

What is 5/6 ÷ 5

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?

9 / 10

What is 2/9 ÷ 2?

10 / 10

Which of these is true?

Your score is

The average score is 70%

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Multiplying by 10,100,1000

1 / 10

What is 47 x 10?

2 / 10

what is 5200 ÷ 100?

3 / 10

Which calculation gives the answer 3.6?

4 / 10

What is 8.4 x 100?

5 / 10

What is 9000÷1000?

6 / 10

Which number is 100 times smaller than 720?

7 / 10

What is 0.05 x 1000?

8 / 10

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

9 / 10

What is 630÷10?

10 / 10

Which statement is true?

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The average score is 100%

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Multiplying and dividing with decimals

1 / 10

Which of these is not equal to 2.4?

2 / 10

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

3 / 10

Calculate 3.6 x 0.5

4 / 10

What is 15 ÷ 0.5 ?

5 / 10

Which calculation gives the largest answer?

6 / 10

Find the value of 0.07 x 8

7 / 10

What is 7.2 ÷ 0.9 ?

8 / 10

Which of these is equal to 0.25 x 100 ?

9 / 10

Calculate 4.8 ÷ 6

10 / 10

What is 0.6 x 5 ?

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Rounding decimals

1 / 10

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

2 / 10

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

3 / 10

What is 3.7 rounded to the nearest whole number?

4 / 10

Which statement is **true**?

5 / 10

What is 12.9999 rounded to 2 decimal places?

6 / 10

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

7 / 10

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

8 / 10

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

9 / 10

Round 0.1258 to 3 decimal places.

10 / 10

What is 4.736 rounded to 2 decimal places?

Your score is

The average score is 100%

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Converting fractions to decimals

1 / 9

What fraction is equal to 0.05

2 / 9

What is 9/10 as a decimal?

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?

4 / 9

Which decimal is equal to 3/4

5 / 9

What is 1/2 as a decimal?

6 / 9

Which fraction is equal to 0.8?

7 / 9

What is 7/100 as a decimal?

8 / 9

Which decimal is equal to 1/4

9 / 9

What is 3/10 as a decimal?

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The average score is 100%

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F,d,p

1 / 10

What is 7/10 as a percentage?

2 / 10

Which set shows three equivalent values?

3 / 10

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

4 / 10

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

5 / 10

Which of the following is not equal to 0.6?

6 / 10

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

7 / 10

Which fraction is equivalent to 75%

8 / 10

What is 0.8 as a percentage?

9 / 10

Which decimal is equivalent to 25%

10 / 10

What is 1/2 as a percentage?

Your score is

The average score is 100%

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Ratios

1 / 10

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

2 / 10

Which ratio is equivalent to 2:5?

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?

7 / 10

Which statement matches the ratio 3:2?

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?

Your score is

The average score is 90%

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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?

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?

3 / 11

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

4 / 11

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

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?

6 / 11

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

7 / 11

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

8 / 11

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

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?

11 / 11

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

Your score is

The average score is 100%

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Percentages of amounts

1 / 9

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

2 / 9

What is 5% of 140?

3 / 9

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

4 / 9

What is 1% of 400?

5 / 9

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

6 / 9

What is 10% of 250?

7 / 9

What is 25% of 48?

8 / 9

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

9 / 9

What is 50% of 80?

Your score is

The average score is 100%

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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?

2 / 8

What is 75% of 240°?

3 / 8

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

4 / 8

Which is larger?

- 40% of 150

- 35% of 180

5 / 8

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

6 / 8

What is 30% of 240 kg?

7 / 8

In a survey of 200 people:

- 60% prefer tea

- 45% prefer coffee

How many more people prefer tea than coffee?

8 / 8

Two shops offer discounts on a £90 jacket:

- Shop A: 20% off

- Shop B: £15 off

Which shop gives the bigger discount?

Your score is

The average score is 100%

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Relative sizes - scaling

1 / 10

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

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?

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?

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?

7 / 10

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

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 / 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?

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The average score is 100%

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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?

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?

4 / 10

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

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?

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?

Your score is

The average score is 27%

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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

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

5 / 10

What is the missing term in this sequence?

½, 1, 1½, ___, 2½

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, ___, ___

8 / 10

What is the rule for this sequence?

3, 6, 12, 24, 48

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 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

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%

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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?

3 / 10

Which pair of whole numbers has:

- A total of **25**

- A product of **150**

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 = ◻️

6 / 10

Which pair satisfies both conditions?

- Their product is **48**

- Their difference is **2**

7 / 10

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

8 / 10

Which pair completes both equations?

◻️+ ⚪️= 50

◻️= 4 x ⚪️

9 / 10

Find the two missing numbers:

◻️ x  ⚪️= 36

◻️ ÷ ⚪️= 4

10 / 10

1. Which pair of numbers makes this equation true?

 ◻️+ ⚪️= 20

 ◻️- ⚪️= 4 

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The average score is 90%

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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?

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?

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?

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?

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Units

1 / 12

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

2 / 12

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

3 / 12

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

4 / 12

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

5 / 12

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

6 / 12

How many grams are in 4.8 kilograms?

7 / 12

Which of these is a unit of length?

8 / 12

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

9 / 12

How many centimetres are in 2.5 metres?

10 / 12

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

11 / 12

How many millilitres are in 3 litres?

12 / 12

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

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Area of a triangle

1 / 10

Which formula is correct for the area of a triangle?

2 / 10

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

3 / 10

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

4 / 10

What is the area of this triangle?

Base = 12 mm, height = 9 mm

5 / 10

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

6 / 10

Which triangle has the largest area?

7 / 10

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

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?

9 / 10

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

10 / 10

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

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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?

2 / 10

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

3 / 10

Which shape has the same area formula as a parallelogram?

4 / 10

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

5 / 10

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

6 / 10

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

7 / 10

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

8 / 10

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

9 / 10

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

10 / 10

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

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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?

2 / 10

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

3 / 10

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

4 / 10

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

5 / 10

Which statement is **true**?

6 / 10

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

7 / 10

What is the perimeter of this shape?

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

8 / 10

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

9 / 10

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

10 / 10

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

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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 / 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?

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?

5 / 10

Which unit is used to measure volume?

6 / 10

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

7 / 10

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

8 / 10

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

9 / 10

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

10 / 10

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

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Shape properties and 3d shapes

1 / 10

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

2 / 10

How many lines of symmetry does a regular hexagon have?

3 / 10

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

4 / 10

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

5 / 10

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

6 / 10

How many edges does a square-based pyramid have?

7 / 10

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

8 / 10

How many faces does a triangular prism have?

9 / 10

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

10 / 10

How many vertices does a cube have?

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Making 3d shapes

1 / 10

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

2 / 10

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

3 / 10

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

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?

6 / 10

Which 3D shape does this net make?

(Net: 2 circles and 1 rectangle)

7 / 10

A net for a square-based pyramid must have:

8 / 10

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

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**?

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Circles

1 / 10

Which diagram shows a **diameter**?

(Imagine four options described)

2 / 10

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

3 / 10

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

4 / 10

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

5 / 10

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

6 / 10

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

7 / 10

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

8 / 10

Which statement is **true**?

9 / 10

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

10 / 10

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

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Angles in shapes

1 / 10

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

2 / 10

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

3 / 10

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

4 / 10

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

5 / 10

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

6 / 10

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

7 / 10

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

8 / 10

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

9 / 10

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

10 / 10

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

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Angle rules

1 / 10

An angle measures 270°. What is it called?

2 / 10

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

3 / 10

How many right angles are in a full turn?

4 / 10

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

5 / 10

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

6 / 10

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

7 / 10

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

8 / 10

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

9 / 10

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

10 / 10

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

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Coordinates

1 / 9

What are the coordinates of the origin?

2 / 9

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

3 / 9

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

4 / 9

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

5 / 9

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

6 / 9

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

7 / 9

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

8 / 9

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

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.)

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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?

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?

3 / 10

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

4 / 10

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

5 / 10

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

6 / 10

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

7 / 10

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

8 / 10

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

*(Imagine four options)*

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?

10 / 10

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

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Translation

1 / 10

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

2 / 10

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

3 / 10

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

4 / 10

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

5 / 10

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

6 / 10

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

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?

8 / 10

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

9 / 10

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

10 / 10

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

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Pie charts

1 / 10

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

2 / 10

Which pie chart could show the following results?

- Red: 50%

- Blue: 25%

- Green: 25%

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?

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?

6 / 10

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

7 / 10

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

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?

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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Linear graphs

1 / 10

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

2 / 10

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

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?

4 / 10

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

5 / 10

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

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?

7 / 10

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

8 / 10

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

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?

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?

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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?

2 / 10

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

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?

5 / 10

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

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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