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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?

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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?

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    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?

    Your score is

    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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    The average score is 0%

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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?

    Your score is

    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 50%

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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?

    Your score is

    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?

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    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, ___

    Your score is

    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

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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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    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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