PYQ Vault

Mean proportional: square root of the product, or a term from it

This type of question, asked 14 times: 14 Jul 2023 S2, 18 Jul 2023 S2, 20 Jul 2023 S2, 25 Jul 2023 S4, 9 Sep 2024 S3, 11 Sep 2024 S2, 11 Sep 2024 S3, 12 Sep 2024 S1, 12 Sep 2024 S3, 13 Sep 2024 S3, 18 Sep 2024 S1, 18 Sep 2024 S2, 23 Sep 2024 S1, 24 Sep 2024 S2. All 14 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S2

    69
    The mean proportion between 7 and 112 is:

    Tap an option to check your answer.

  2. Question 2

    18 Jul 2023 S2

    59
    If 405 : y :: y : 125, and y>0y > 0, then find the value of y.

    Tap an option to check your answer.

  3. Question 3

    20 Jul 2023 S2

    61
    If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c?

    Tap an option to check your answer.

  4. Question 4

    25 Jul 2023 S4

    52
    The mean proportional of (a+b)(a−b)3,(a+b)3(a−b)(a + b)(a - b)^3, (a + b)^3(a - b) is:

    Tap an option to check your answer.

  5. Question 5

    9 Sep 2024 S3

    62
    The mean proportional of 8a28a^2 and 18a4\frac{18}{a^4}, where a is a positive number, is _____.

    Tap an option to check your answer.

  6. Question 6

    11 Sep 2024 S2

    60
    Find the quotient, when the mean proportional of 7157\frac{1}{5} and 245 is divided by an even prime number.

    Tap an option to check your answer.

  7. Question 7

    11 Sep 2024 S3

    54
    What is the ratio of the mean proportional of 1.21 and 0.09 with the mean proportional of 0.16 and 0.36?

    Tap an option to check your answer.

  8. Question 8

    12 Sep 2024 S1

    69
    If 28.9:x::x:36.128.9 : x :: x : 36.1, and x>0x > 0, then find the value of x.

    Tap an option to check your answer.

  9. Question 9

    12 Sep 2024 S3

    68
    The mean proportional of 2 and 32 is _____.

    Tap an option to check your answer.

  10. Question 10

    13 Sep 2024 S3

    71
    Find the mean proportional of 12.96 and 0.16.

    Tap an option to check your answer.

  11. Question 11

    18 Sep 2024 S1

    74
    Find the mean proportional of 36 and 100.

    Tap an option to check your answer.

  12. Question 12

    18 Sep 2024 S2

    66
    The mean proportional of 4a24a^2 and x is 15a\frac{1}{5a}, where a is a positive number, then the value of x is _____.

    Tap an option to check your answer.

  13. Question 13

    23 Sep 2024 S1

    65
    30 is the mean proportional of 18 and A. Find the value of A.

    Tap an option to check your answer.

  14. Question 14

    24 Sep 2024 S2

    58
    If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:

    Tap an option to check your answer.