PYQ Vault
EbooksTutor

Value of an expression ratio from a given ratio (or the reverse)

This type of question, asked 7 times: 17 Jul 2023 S4, 24 Jul 2023 S3, 26 Sep 2024 S2, 15 Sep 2025 S2, 16 Sep 2025 S2, 19 Sep 2025 S3, 22 Sep 2025 S3. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Jul 2023 S4

    59
    What is the value of XY\frac{X}{Y} if X−5YX+5Y=713\frac{X - 5Y}{X + 5Y} = \frac{7}{13}.

    Tap an option to check your answer.

  2. Question 2

    24 Jul 2023 S3

    58
    If ab=76\frac{a}{b} = \frac{7}{6}, then find the value of the expression 6a+13b6a−13b\frac{6a + 13b}{6a - 13b}.

    Tap an option to check your answer.

  3. Question 3

    26 Sep 2024 S2

    58
    If a : b = c : d = e : f = 5 : 7, then what is the ratio (3a + 5c + 11e) : (3b + 5d + 11f)?

    Tap an option to check your answer.

  4. Question 4

    15 Sep 2025 S2

    53
    If a:b=5:3a : b = 5 : 3, then find (6a+2b):(6a−2b)(6a + 2b) : (6a - 2b).

    Tap an option to check your answer.

  5. Question 5

    16 Sep 2025 S2

    51
    If p:q=4:1p : q = 4 : 1, find (5p+3q):(5p−3q)(5p + 3q) : (5p - 3q).

    Tap an option to check your answer.

  6. Question 6

    19 Sep 2025 S3

    51
    If (x+y):(x−y)=5:2(x+y):(x-y) = 5:2, find (x3+y3):(x3−y3)(x^3 + y^3) : (x^3 - y^3)

    Tap an option to check your answer.

  7. Question 7

    22 Sep 2025 S3

    58
    If x:y=2:5x : y = 2 : 5, then what is (2x+3y):(x+y)(2x + 3y) : (x + y)?

    Tap an option to check your answer.