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Math 7 · Unit 14: Position and transformation · Cambridge Lower Secondary Maths Stage 7

14.2 Distance between two points

32 questions · e.g. (2, 5) and (2, −3)

Practice

Questions

  1. 1. Question 1a: work out the distance between (9, 2) and (6, 2).

    xy-3-2-1123-3-212345678910AB
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  2. 2. Question 1b: work out the distance between (12, 7) and (2, 7).

    xy-3-2-112345678-3-212345678910111213AB
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  3. 3. Question 1c: work out the distance between (1, 0) and (8, 0).

    xy-3-2-1123-3-2123456789AB
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  4. 4. Question 1d: work out the distance between (12, 11) and (20, 11).

    xy-3-2-1123456789101112-3123456789101112131415161718192021AB
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  5. 5. Question 2a: work out the distance between (1, 5) and (1, 9).

    xy-3-2-112345678910-3-2123AB
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  6. 6. Question 2b: work out the distance between (2, 8) and (2, 3).

    xy-3-2-1123456789-3-2123AB
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  7. 7. Question 2c: work out the distance between (9, 15) and (9, 10).

    xy-3-2-112345678910111213141516-3-212345678910AB
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  8. 8. Question 2d: work out the distance between (11, 18) and (11, 28).

    xy-3-2-11234567891011121314151617181920212223242526272829123456789101112AB
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  9. 9. Question 3: match each pair of points to the distance between them. The first one: (1, 8) and (1, 3) are 5 units apart.

    • (8, 10) and (8, 12)
    • (1, 5) and (7, 5)
    • (13, 7) and (9, 7)
    • (15, 15) and (15, 14)
    • (18, 2) and (21, 2)
    • (0, 27) and (0, 20)
    • 7 units
    • 4 units
    • 6 units
    • 1 unit
    • 3 units
    • 2 units
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  10. 10. Question 4a: work out the distance between (14, 2) and (18, 2).

    xy-3-2-1123-312345678910111213141516171819AB
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  11. 11. Question 4b: work out the distance between (10, 8) and (5, 8).

    xy-3-2-1123456789-3-21234567891011AB
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  12. 12. Question 4c: work out the distance between (2, 0) and (10, 0).

    xy-3-2-1123-3-21234567891011AB
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  13. 13. Question 5a: work out the distance between (3, 17) and (3, 5).

    xy-3-2-1123456789101112131415161718-31234AB
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  14. 14. Question 5b: work out the distance between (18, 15) and (18, 25).

    xy-3-2-1123456789101112131415161718192021222324252612345678910111213141516171819AB
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  15. 15. Question 5c: work out the distance between (9, 19) and (9, 21).

    xy-3-2-112345678910111213141516171819202122-312345678910AB
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  16. 16. Question 6a: the distance between (9, 14) and (9, 23) is A 5 units, B 7 units or C 9 units?

    xy-3-2-112345678910111213141516171819202122232412345678910AB
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  17. 17. Question 6b: the distance between (16, 4) and (0, 4) is A 12 units, B 16 units or C 0 units?

    xy-3-2-112345-31234567891011121314151617AB
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  18. 18. Question 6c: the distance between (3, 17) and (3, 16) is A 1 unit, B 13 units or C 14 units?

    xy-3-2-1123456789101112131415161718-31234AB
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  19. 19. Question 6d: the distance between (8, 8) and (19, 8) is A 12 units, B 0 units or C 11 units?

    xy-3-2-1123456789-31234567891011121314151617181920AB
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  20. 20. Cards show the points A(14, 9), B(17, 18), C(21, 9), D(17, 27), E(14, 16) and H(8, 18). Match each point to where it is.

    • C(21, 9)
    • E(14, 16)
    • D(17, 27)
    • H(8, 18)
    • 9 units above B
    • 7 units right of A
    • 9 units left of B
    • 7 units above A
    Check