2020 A-level H2 Mathematics (9758) Paper 2 Suggested Solutions

All solutions here are suggested. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

Numerical Answers (workings/explanations are after the numerical answers.)

Question 1: y  = 2.5x^2 - 5x + 0.5
Question 2: \infty; 5; b=7; V_5 = 5a + 28; T_n = 3n^2 - 25n + 16; m=10
Question 3: 2x+y=39; \frac{2057}{18}; \frac{2057}{3}; x = \frac{1}{54}(y+3)^2 + 4
Question 4: a = 12, V=144\sqrt{5}; a = 15
Question 5: 0, 4, 10, 25; \text{Var}(X) = \frac{360r^2 + 300r - 340}{(3r+1)^2}; r = 3
Question 6: 0.202; 0.108; 0.606
Question 7: r = -0.848; a=145, b=9460, r=0.941
Question 8: r = 6
Question 9: 0.981; 0.0535; 0.983
Question 10: \bar{x} \in [0, 1.45] \cup [1.55, 100]; 0.254, 1.46 \times 10^{-4}; 0.0182

Showing 16 comments
  • -
    Reply

    perhaps question 10 upper limit should be 100 since it’s percentage

    • KS Teng
      Reply

      Thats true. Good point. Thanks.

  • :)
    Reply

    Any thoughts on this year’s math papers?

  • anon
    Reply

    when you scale x by factor 2, wouldnt x be (x/2) and hence area should be 1.5 times?

    • KS Teng
      Reply

      the 2 way stretch results in \times 2 \times 3.

  • Alvin Pang
    Reply

    Why is there pi in 4(ii)? Isn’t it a square base though.

    • KS Teng
      Reply

      my bad. doesn’t affect the final answer. thanks

  • .
    Reply

    is qn 9iii 0.0535 instead of 0.535?

    • KS Teng
      Reply

      indeed, copied wrongly off the GC. Thank you.

  • hii
    Reply

    is qn 9iii 0.0535 instead of 0.535?

    • KS Teng
      Reply

      indeed, copied wrongly off the GC. Thank you.

  • -
    Reply

    9(iii) 0.0535?

    • KS Teng
      Reply

      indeed, copied wrongly off the GC. Thank you.

  • :)
    Reply

    should q9 be 0.0535 instead of 0.535?

    • KS Teng
      Reply

      indeed, copied wrongly off the GC. Thank you.

  • :>
    Reply

    for q3, isnt the limit for the area under the parametric eqn from t=1/6 to t=2, instead of from t=0.5? when y=0, t=1/6?

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