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      Place value in very large numbers

      1 / 10

      1. What is the value of the digit 7 in 3,742,501?

      2 / 10

      2. Which digit is in the **hundred thousands** place in 5,284,631?

      3 / 10

      3. What is the value of the digit 9 in 9,056,723?

      4 / 10

      4. Write 4,678,205 in words.

      5 / 10

       

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

      6 / 10

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

      7 / 10

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

      8 / 10

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

      9 / 10

      9. Which digit is in the **ten thousands** place in 8,174,296?

      10 / 10

      10. How many **hundred thousands** are in 5,600,000?

      Your score is

      The average score is 53%

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      Comparing Numbers

      1 / 12

      True or false: 9,999 > 10,000

      2 / 12

      What digit could replace the blank: 2,_89 > 2,389?

      3 / 12

      Which symbol completes: 6,789 ___ 6,879?

      4 / 12

      Which comparison is correct?

      5 / 12

      What digit makes 8_4 < 834 true?

      6 / 12

      Which symbol makes this true: 1,450 ___ 1,405?

      7 / 12

      Which statement is true?

      8 / 12

      What is the missing digit in 5_8 > 578?

      9 / 12

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

      10 / 12

       Which number is the smallest?

      11 / 12

      Which symbol correctly completes the statement: 789 ___ 798?

      12 / 12

      Which number is greater than 456?

      Your score is

      The average score is 75%

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      Ordering numbers

      1 / 10

      What is the **third smallest**?

         4.123; 4.132; 4.213; 4.231

      2 / 10

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

      3 / 10

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

      4 / 10

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

      5 / 10

      Order: £4.50, £4.05, £5.40

         Cheapest to most expensive:

      6 / 10

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

      7 / 10

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

      8 / 10

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

      9 / 10

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

         Smallest to largest:

      10 / 10

      Which set is in **ascending order**?

      Your score is

      The average score is 55%

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      Rounding numbers

      1 / 10

      Round 789 to the nearest 10.

      2 / 10

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

      3 / 10

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

      4 / 10

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

      5 / 10

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

      6 / 10

      Round 9,972 to the nearest 100.

      7 / 10

      What is 1,236 rounded to the nearest 10?

      8 / 10

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

      9 / 10

      Round 328 to the nearest 100.

      10 / 10

      What is 47 rounded to the nearest 10?

      Your score is

      The average score is 100%

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      Calculating negative numbers

      1 / 12

      Which is **not equal to –10**?

      2 / 12

      What is **–7 – 3 + 5**?

      3 / 12

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

      4 / 12

      Which is **warmer**: –8°C or –12°C?

      5 / 12

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

      6 / 12

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

      7 / 12

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

      8 / 12

      What is **–(–8) + (–3)**?

      9 / 12

      What is **5 + (–9)**?

      10 / 12

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

      11 / 12

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

      12 / 12

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

      Your score is

      The average score is 91%

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      Multiplication 1

      1 / 9

      What is 4 × 11?

      2 / 9

      What is 1 × 200?

      3 / 9

      What is 10 × 7?

      4 / 9

      What is 0 × 12?

      5 / 9

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

      6 / 9

      What is 9 × 8?

      7 / 9

      Which number sentence is correct?

      8 / 9

      What is 6 × 5?

      9 / 9

      What is 4 × 7?

      Your score is

      The average score is 100%

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      Written multiplication 2

      1 / 14

      What is 35 × 47?

      2 / 14

      What is 41 × 75?

      3 / 14

      Find the product of 17 × 38.

      4 / 14

      What is 23 × 14?

      5 / 14

      What is 3 × 15?

      6 / 14

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

      7 / 14

      What is 4 × 15?

      8 / 14

      What is 2 × 18?

      9 / 14

      What is 4 × 13?

      10 / 14

      What is 0 × 50?

      11 / 14

      What is 10 × 15?

      12 / 14

      What is 7 × 11?

      13 / 14

      What is 10 × 12?

      14 / 14

      What is 4 × 11?

      Your score is

      The average score is 100%

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      Written multiplication 3

      1 / 10

      What is 83 × 114?

      2 / 10

      Multiply 52 × 157

      3 / 10

      What is 77 × 129?

      4 / 10

      Calculate 69 × 136

      5 / 10

      Find 54 × 148

      6 / 10

      What is 86 × 117?

      7 / 10

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

      8 / 10

      Multiply 48 × 159

      9 / 10

      Calculate 63 × 137.

      10 / 10

      What is 72 × 145?

      Your score is

      The average score is 100%

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      Written division

      1 / 9

      What is 729 ÷ 9?

      2 / 9

      What is 624 ÷ 12?

      3 / 9

      Divide 518 by 7

      4 / 9

      What is 425 ÷ 5?

      5 / 9

      A baker has 144 cupcakes and packs them into boxes of 8. How many boxes does he fill?

      6 / 9

      Calculate 348 ÷ 3

      7 / 9

      What is 216 ÷ 6?

      8 / 9

      Divide 135 by 5

      9 / 9

      What is 84 ÷ 4?

      Your score is

      The average score is 100%

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      Mental maths

      1 / 11

      What is 81 – 35?

      2 / 11

      Add 56 and 27.

      3 / 11

      What is ¼ of 48?

      4 / 11

      What number is 100 more than 428?

      5 / 11

      What is £3.50 + £2.75?

      6 / 11

      How many minutes are in 2 hours?

      7 / 11

      What is half of 94?

      8 / 11

      Divide 63 by 9.

      9 / 11

      What is 6 × 8?

      10 / 11

      Subtract 29 from 73.

      11 / 11

      What is 47 + 38?

      Your score is

      The average score is 90%

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      bodmas

      1 / 10

      What is 8 + 3 × 2?

      2 / 10

      Calculate: 12 – 4 × 2

      3 / 10

      What is (7 + 5) × 3?

      4 / 10

      Solve: 20 ÷ 4 + 6

      5 / 10

      What is 9 + 15 ÷ 3?

      6 / 10

      Calculate: (18 – 6) ÷ 3

      7 / 10

      What is 5 × 4 – 7?

      8 / 10

      Solve: 24 ÷ (6 – 2)

      9 / 10

      What is 7 + 8 × 2 – 3?

      10 / 10

      Calculate: 30 – 12 ÷ 3 + 1

      Your score is

      The average score is 90%

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      Multiples, Factors, Prime Numbers

      1 / 11

      Which number is a multiple of both 3 and 4?

      2 / 11

      What is the lowest common multiple of 2 and 5?

      3 / 11

      Which number is NOT a multiple of 5?

      4 / 11

      Which number is a factor of 15?

      5 / 11

      What are the factors of 8?

      6 / 11

      Which number is a common factor of 6 and 9?

      7 / 11

      What is the highest common factor (HCF) of 10 and 15?

      8 / 11

      Which of these is a prime number?

      9 / 11

      What is the smallest prime number?

      10 / 11

      Which number is NOT a prime number?

      11 / 11

      Is 1 a prime number?

      Your score is

      The average score is 73%

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      solving calculation problems

      1 / 10

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

      2 / 10

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

      3 / 10

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

      4 / 10

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

      5 / 10

      A packet of biscuits has 24 biscuits. How many are left if 7 are eaten?

      6 / 10

      There are 28 children in a class. 15 are boys. How many are girls?

      7 / 10

      A film starts at 6:15 PM and lasts 1 hour 45 minutes. What time does it end?

      8 / 10

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

      9 / 10

      Tom has 84 marbles. He shares them equally among 6 friends. How many does each get?

      10 / 10

      A book costs £4.75. How much do 3 books cost?

      Your score is

      The average score is 90%

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      simplifying fractions

      1 / 10

      Which of the following fractions cannot be simplified further?

      2 / 10

      Simplify 9/27

      3 / 10

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

      4 / 10

      What is 14/21 simplified?

      5 / 10

      Simplify 20/25

      6 / 10

      Which of these fractions is already in its simplest form?

      7 / 10

      What is the simplest form of 12/18

      8 / 10

      Simplify 10/15

      9 / 10

      what fraction is equivalent to 6/9 when simplified?

      10 / 10

      What is 4/8 in its simplest form

      Your score is

      The average score is 90%

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      ordering fractions

      1 / 9

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

      2 / 9

      Which list shows fractions in descending order?

      3 / 9

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

      4 / 9

      Which fraction is the smallest?

      5 / 9

      Which set shows fractions in order from smallest to largest?

      6 / 9

      Which of these fractions is equivalent to 1/2?

      7 / 9

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

      8 / 9

      Which fraction is the largest?

      9 / 9

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

      Your score is

      The average score is 100%

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      adding and subtracting fractions

      1 / 10

      Subtract 5/6 - 1/3

      2 / 10

      What is 1/2 + 1/4

      3 / 10

      Subtract 4/5 - 1/5

      4 / 10

      Add 2/9 + 5/9

      5 / 10

      What is 3/5 - 1/10

      6 / 10

      Add 1/3 + 1/6

      7 / 10

      What is 7/10 - 3/10

      8 / 10

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

      9 / 10

      What is 5/8 - 2/8

      10 / 10

      What is 2/7 +3/7

      Your score is

      The average score is 100%

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      multiplying fractions

      1 / 10

      Which calculation is the same as 2/5 + 2/5 + 2/5 + 2/5 ?

      2 / 10

      What is 5/6 x 3

      3 / 10

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

      4 / 10

      What is 3 x 4/9

      5 / 10

      What is  7 x 1/10

      6 / 10

      Multiply 2/7 x 6

      7 / 10

      What is 4 x 3/8

      8 / 10

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

      9 / 10

      Work out 5 x 2/3

      10 / 10

      What is 3 x 1/4

      Your score is

      The average score is 100%

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      Dividing fractions by whole numbers

      1 / 10

      What is 1/2÷ 2

      2 / 10

      1/3 ÷ 4

      3 / 10

      A pizza is cut into 5 equal slices. One slice is 1/5 of the pizza. If Mia shares her slice equally with her brother, what fraction of the whole pizza does each get?

      4 / 10

      What is 3/4 ÷ 3

      5 / 10

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

      6 / 10

      What is 4/7 ÷ 2

      7 / 10

      What is 5/6 ÷ 5

      8 / 10

      Tom has 3/8 of a chocolate bar. He shares it equally between himself and two friends (3 people total). How much does each person get?

      9 / 10

      What is 2/9 ÷ 2?

      10 / 10

      Which of these is true?

      Your score is

      The average score is 70%

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      Multiplying by 10,100,1000

      1 / 10

      What is 47 x 10?

      2 / 10

      what is 5200 ÷ 100?

      3 / 10

      Which calculation gives the answer 3.6?

      4 / 10

      What is 8.4 x 100?

      5 / 10

      What is 9000÷1000?

      6 / 10

      Which number is 100 times smaller than 720?

      7 / 10

      What is 0.05 x 1000?

      8 / 10

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

      9 / 10

      What is 630÷10?

      10 / 10

      Which statement is true?

      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 100%

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      Percentages of amounts

      1 / 9

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

      2 / 9

      What is 5% of 140?

      3 / 9

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

      4 / 9

      What is 1% of 400?

      5 / 9

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

      6 / 9

      What is 10% of 250?

      7 / 9

      What is 25% of 48?

      8 / 9

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

      9 / 9

      What is 50% of 80?

      Your score is

      The average score is 100%

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      Comparing percentages

      1 / 8

      Two classes took a test:

      - Class A: 28 out of 40 pupils passed

      - Class B: 72% passed

      Which class had a higher pass rate?

      2 / 8

      What is 75% of 240°?

      3 / 8

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

      4 / 8

      Which is larger?

      - 40% of 150

      - 35% of 180

      5 / 8

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

      6 / 8

      What is 30% of 240 kg?

      7 / 8

      In a survey of 200 people:

      - 60% prefer tea

      - 45% prefer coffee

      How many more people prefer tea than coffee?

      8 / 8

      Two shops offer discounts on a £90 jacket:

      - Shop A: 20% off

      - Shop B: £15 off

      Which shop gives the bigger discount?

      Your score is

      The average score is 100%

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      Relative sizes - scaling

      1 / 10

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

      2 / 10

      A factory makes 480 toys in 6 hours. How many toys does it make in 1 hour?

      3 / 10

      5 identical bags of rice weigh 25 kg altogether. How much do 7 bags weigh?

      4 / 10

      A model car is built to a scale where 1 cm represents 20 cm in real life. If the real car is 400 cm long, how long is the model?

      5 / 10

      A printer prints 30 pages in 5 minutes. How many pages can it print in 15 minutes?

      6 / 10

      If 8 oranges weigh 1600 g, how much do 3 oranges weigh?

      7 / 10

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

      8 / 10

      Tom walks 5 km in 1 hour. If he walks at the same speed, how far will he walk in 4 hours?

      9 / 10

      A recipe uses 3 eggs to make 12 cupcakes. How many eggs are needed to make 36 cupcakes?

      10 / 10

      If 4 pens cost £2.00, how much do 12 pens cost?

      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

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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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