PYQ Vault
EbooksTutor

(a^3 +/- b^3)/(a^2 -/+ ab + b^2) with numbers

This type of question, asked 7 times: 19 Jul 2023 S1, 24 Jul 2023 S3, 10 Sep 2024 S2, 11 Sep 2024 S2, 18 Sep 2024 S2, 24 Sep 2024 S2, 26 Sep 2024 S1. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    19 Jul 2023 S1

    57
    Simplify the given expression. 432×432+247×247−432×247432×432×432+247×247×247\frac{432 \times 432 + 247 \times 247 - 432 \times 247}{432 \times 432 \times 432 + 247 \times 247 \times 247}

    Tap an option to check your answer.

  2. Question 2

    24 Jul 2023 S3

    52
    Simplify the following. 0.01×0.01×0.01+0.003×0.003×0.0030.05×0.05−0.015×0.05+0.015×0.015\frac{0.01 \times 0.01 \times 0.01 + 0.003 \times 0.003 \times 0.003}{0.05 \times 0.05 - 0.015 \times 0.05 + 0.015 \times 0.015}

    Tap an option to check your answer.

  3. Question 3

    10 Sep 2024 S2

    56
    Simplify 0.58×0.58×0.58−0.0010.58×0.58+0.058+0.01\frac{0.58 \times 0.58 \times 0.58 - 0.001}{0.58 \times 0.58 + 0.058 + 0.01}.

    Tap an option to check your answer.

  4. Question 4

    11 Sep 2024 S2

    66
    Simplify (4.2)3−(1.2)3(4.2)2+5.04+(1.2)2\frac{(4.2)^3 - (1.2)^3}{(4.2)^2 + 5.04 + (1.2)^2}

    Tap an option to check your answer.

  5. Question 5

    18 Sep 2024 S2

    52
    Simplify. (7.3)3−(4.7)3(7.3)2+7.3×4.7+(4.7)2\frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2}

    Tap an option to check your answer.

  6. Question 6

    24 Sep 2024 S2

    59
    Find the value of (453×453×453−383×383×383)(453×383+383×383+453×453)\frac{(453 \times 453 \times 453 - 383 \times 383 \times 383)}{(453 \times 383 + 383 \times 383 + 453 \times 453)}.

    Tap an option to check your answer.

  7. Question 7

    26 Sep 2024 S1

    58
    If 3(163−63)(162+62+Q)=30\frac{3(16^3 - 6^3)}{(16^2 + 6^2 + Q)} = 30, then find the value of QQ.

    Tap an option to check your answer.