Number and Place Value

Understanding number and place value is essential for building strong mathematical fluency. In this section, you’ll find clear explanations, interactive videos, and practice resources covering everything from comparing and ordering numbers to rounding,  calculating with negative numbers and solving number problems.

Place Value in Very Large Numbers

Learn how to read, write, and understand numbers up to millions and beyond

Comparing Numbers

Master greater than, less than, and equality when working with whole numbers and decimals

Ordering Numbers

Understand how to arrange numbers in ascending and descending order with confidence 

Rounding Whole Numbers

Learn rounding rules and strategies using real world examples and step-by-step guidance

Calculating with Negative Numbers

Explore adding, subtracting, multiplying, and dividing negative numbers with intuitive visuals

Solving Number Problems

Apply your number skills through problem-solving and reasoning tasks 

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 48%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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 90%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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 ?

Your score is

The average score is 0%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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 50%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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, ___

Your score is

The average score is 100%

0%

This will close in 0 seconds

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%

0%

This will close in 0 seconds

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 

Your score is

The average score is 90%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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**?

Your score is

The average score is 90%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 2 seconds

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**?

Your score is

The average score is 100%

0%

This will close in 1 seconds

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**?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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.)

Your score is

The average score is 88%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 2 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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?

Your score is

The average score is 100%

0%

This will close in 0 seconds

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

Your score is

The average score is 65%

0%

This will close in 0 seconds

Facebook Twitter Youtube Instagram
© 2026 StudyMathOnline. All Rights Reserved.