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Combine linked ratios (A:B, B:C, ...) into one ratio

This type of question, asked 10 times: 10 Sep 2024 S2, 13 Sep 2024 S1, 17 Sep 2024 S1, 18 Sep 2024 S3, 25 Sep 2024 S2, 14 Sep 2025 S2, 15 Sep 2025 S1, 16 Sep 2025 S1, 17 Sep 2025 S1, 24 Sep 2025 S1. All 10 questions below, oldest first.

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  1. Question 1

    10 Sep 2024 S2

    58
    If A:B = 6:86 : 8 and B:C = 5:125 : 12, then A:B:C is:

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  2. Question 2

    13 Sep 2024 S1

    68
    If A:B = 6:86 : 8 and B:C = 5:105 : 10, then A:B:C is:

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  3. Question 3

    17 Sep 2024 S1

    53
    If A:B = 6 : 8 and B:C = 7 : 10, then A:B:C is:

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  4. Question 4

    18 Sep 2024 S3

    71
    If A:B = 6 : 8 and B:C = 7 : 12, then A:B:C is:

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  5. Question 5

    25 Sep 2024 S2

    61
    If A:B = 6 : 8 and B:C = 5 : 11, then A:B:C is:

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  6. Question 6

    14 Sep 2025 S2

    51
    If M : N = 4:54 : 5, N : O = 6:76 : 7, and O : P = 9:119 : 11, then find N : P.

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  7. Question 7

    15 Sep 2025 S1

    51
    If A : B = 7 : 5, B : C = 2 : 3, and C : D = 4 : 5, find the ratio A : D.

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  8. Question 8

    16 Sep 2025 S1

    51
    If P : Q = 6 : 11, Q : R = 5 : 4, and R : S = 9 : 7, find P : Q : R : S.

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  9. Question 9

    17 Sep 2025 S1

    52
    Given that W:X=5:6W : X = 5 : 6, X:Y=3:7X : Y = 3 : 7, and Y:Z=8:9Y : Z = 8 : 9, find the compound ratio W:X:Y:ZW : X : Y : Z.

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  10. Question 10

    24 Sep 2025 S1

    60
    A:B=3:4A:B = 3:4, B:C=6:7B:C = 6:7, C:D=14:15C:D = 14:15. What is the ratio A:DA:D?

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