3E Math MYE 2014 P2 answers.docx

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Marking Scheme Paper 23 Express_MYE_20141(a)(i)

B1

(ii)

M1

A1

(b)(i)2a =

B1

(ii)

M1

M1

A1

(c)(i)c = 0.8B1

(ii)t = $10.80B1

(iii)

M1

A1

(iv)

M1

A1

2(a) = 22%M1,A1

(b)(i)Borrowed amount = $108000 $45000 =$63000B1

(ii)

M1

A1

(iii)

M1

A1

(c)60% ------- $64 800

B1

B1

3(a)(i)y = -4B1

(ii)

C(0, 2) .B1B(x, -4)

B(-2.4, -4) .B1

(iii)Length of BC =

M1

A1

(iv)E(2.4, 8)B1

(v)

M1,A1

(b)(i)360 266 = 94

B1

B1

(ii)

B1B1

4(a)

B1

(b)

B1

(c) .M1

.M1

M1

(shown)

(d)

M1

A1, A1

(e)112.811Round down to 112 magazines.B1

5(a)(i) 15.3 cmM1, A1

(ii)

M1,M1

A1

(b)

(shown)M1,M1,M1

(c)

M1

A1

6(a)a = 18; b = 22B1, B1

(b)Perimeter = 86B1

(c)4n + 6 B1

(d)n = 25B1

7(a) (e)L1 ---- correctly plotted line

S1 ------------- correct scaleP1 ----- correctly plotted ptsC1 ----- smooth curve

B1, B1

0.1 B1

0.1 B1, B1

8(a)43B1

(b)38B1

(c)

M1

A1

(d)29B1

(e)(i)

M1

A1

(ii)

B1

4