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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 48%

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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 90%

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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?

    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 ?

    Your score is

    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?

    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, ___

    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

    Your score is

    The average score is 50%

    0%