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Math 4 · Unit 11: Fractions and percentages · Cambridge Primary Maths Stage 4

11.1 Equivalence, comparing and ordering fractions

19 questions · e.g. Put < or > between 5/8 and 3/4

Practice

Questions

  1. 1. Worked example: which sign goes between 3/4 and 5/8?

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  2. 2. Use the multiplication table to complete the equivalent fractions: 1/2 = 2/☐ = ☐/6 = 4/☐ = ☐/10 = 6/☐ = ☐/14 = 8/☐ = ☐/18 = 10/☐. Which list fills the blanks in order?

    ×12345678910112345678910224681012141618203369121518212427304481216202428323640551015202530354045506612182430364248546077142128354249566370881624324048566472809918273645546372819010102030405060708090100
    Check
  3. 3. Use the multiplication table to complete the equivalent fractions: 3/4 = ☐/8 = 9/☐ = ☐/16 = 15/☐ = ☐/24 = 21/☐ = ☐/32 = 27/☐ = ☐/40. Which list fills the blanks in order?

    ×12345678910112345678910224681012141618203369121518212427304481216202428323640551015202530354045506612182430364248546077142128354249566370881624324048566472809918273645546372819010102030405060708090100
    Check
  4. 4. Use the multiplication table to complete the equivalent fractions: 2/3 = 4/☐ = ☐/9 = 8/☐ = ☐/15 = 12/☐ = ☐/21 = 16/☐ = ☐/27 = 20/☐. Which list fills the blanks in order?

    ×12345678910112345678910224681012141618203369121518212427304481216202428323640551015202530354045506612182430364248546077142128354249566370881624324048566472809918273645546372819010102030405060708090100
    Check
  5. 5. Use the fraction wall to help you. Put 2/3, 3/4, 1/3 and 5/8 in order, smallest first.

    11/21/21/31/31/31/41/41/41/41/61/61/61/61/61/61/81/81/81/81/81/81/81/8

    Put these in order.

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  6. 6. Use the fraction wall to help you. Put 2/3, 5/6, 1/2 and 7/8 in order, smallest first.

    11/21/21/31/31/31/41/41/41/41/61/61/61/61/61/61/81/81/81/81/81/81/81/8

    Put these in order.

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  7. 7. Put the correct sign between 1/2 and 5/8.

    11/21/21/31/31/31/41/41/41/41/61/61/61/61/61/61/81/81/81/81/81/81/81/8
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  8. 8. Put the correct sign between 2/3 and 5/6.

    11/21/21/31/31/31/41/41/41/41/61/61/61/61/61/61/81/81/81/81/81/81/81/8
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  9. 9. Colour the squares with fractions equivalent to 2/3 red, and the squares equivalent to 3/4 blue. What letters do the red squares and the blue squares make?

    8/125/618/276/209/1215/2030/402/310/1210/1510/2518/243/1021/2814/216/922/3330/10012/1627/363/420/301/216/249/3624/321/46/124/620/2412/182/56/84/1018/36
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  10. 10. Here are three fractions: 2/3, 1/4 and 2/5. Each goes in the correct box on the number line. Match each fraction to its box.

    01/21ABC
    • 1/4
    • 2/5
    • 2/3
    • Box C
    • Box A
    • Box B
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  11. 11. Which is larger, 5/8 or 3/4?

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  12. 12. Which is larger, 5/6 or 2/3?

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  13. 13. Which is larger, 1/2 or 3/8?

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  14. 14. Choose different numerators to make ☐/8 > ☐/4 correct. Both fractions must be less than 1. How many different answers can you find?

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  15. 15. Find a set of three equivalent fractions in the grid.

    3/45/66/208/124/102/310/126/810/253/1020/244/630/1009/122/5
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  16. 16. Which is the odd one out: 9/12, 10/15, 2/3?

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  17. 17. △ is a multiple of 5 and ○ is a multiple of 6, and △/○ = 2/3. What numbers could △ and ○ stand for?

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  18. 18. Which fraction is greater than 1/2 but less than 3/4: 3/8, 2/4, 5/8, 7/8?

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  19. 19. Alana says, '4/7 is greater than 4/9.' Is she correct?

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