Posted in A-Level, JC Math (H2/H1)

Suggested Answers to 2014 A Level H1 Math 8864

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Hi, we tried to rush it out. This might not be the most appropriate suggested solutions. Feel free to comment and discuss. Let me know if I make mistakes. Thanks!

Also, we might not respond too fast as we will be trying to do the paper 2 for h2 math later too.

ERRATA:

4(ii) I made a silly mistake substituting the equations back in. You should get (4, 18) and (8,6) as the answers.

Many thanks to those who point out my mistakes.

 

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Posted in A. Math

Suggested answers to GCE O Level 2014 A. Math (4047) Paper 2

1(i)  When t = 0, 20 + A = 80, so A must be equal to 60.

1(ii)  k = 0.288 (to 3 SF)

1(iii) Since t > 3.82, it is safe to give the food 4 min after removal from the microwave.

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2(i) Remainder = – 12

2 (ii)  f(-2) = 0, so (x+2) is a factor of f(x).  Solving f(x) = 0, x = -2, 1/2 or 3.

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3(i)  Length of rectangle = 9/2 + Sqrt(3)/6

3(ii) c = -1

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4(I) 2.25 4

(ii) 8x^2 + 5x + 64 = 0

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5(a) x^2 – 8x + 32 = 0. No real solution because discriminant is less than 0.

5(b) y = 1/x^2

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6(I) Use the fact that triangle ACE is isosceles and the alternate-segment theorem to state that angle ACE = angle ABC. Angle DEF = angle ECA + angle EAC.

6(ii) angle DFE = 2 x angle ACB.

6(iii) Use the fact that angle BAC = 180 deg – (angle BAF + angle CAE).

So 2 x (angle BAC) = 360 deg – 2(angle BAF + angle CAE).

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7(I)  p = 3 and q = 2

7(ii) (a) increasing

7(ii) (b) decreasing

7(iii) It is a maximum point

7(iv) 0

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To be continued