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May June 2016 Paper 02 Answer Sheet

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REPORT ON CANDIDATES’ WORK IN THE SECONDARY EDUCATION CERTIFICATE EXAMINATION

MAY/JUNE 2010 MATHEMATICS

Compulsory Section
Question 1 Question 7
Distance (m) Frequency
1 20 – 29 3
(a) (i) (ii) 6.1
3 20 – 39 5
40 – 49 8
(b) (i) $12.80 (ii) $2 998.50 (iii) $1 078.50 (iv) 56% 50 – 59 6
60 – 69 2
Question 2
10
(b) (i) 𝟕(𝒙 + 𝒚) (ii) 𝒚(𝒚 + 𝟏) 8

Frequency
(a) (i) -2 (ii) -5
6
(c) 𝒙 = 𝟑, 𝒚 = 𝟏 (d) (i) (𝟐𝒚 – 𝒛) (𝟐𝒚 + 𝒛) 4
(ii) (𝒙 – 𝒚) (𝟐𝒂 − 𝒃) 2
(iii) (𝒙 + 𝟒)(𝟑𝒙 − 𝟐) 0
Question 3 20-29 30-39 40-49 50-59 60-69
(a) (i) Distance (m)
U
A B
(b) 19.5
𝟖 𝟏
3𝑥 30 − 3𝑥 (d) (i) 8 (ii) 𝟐𝟒 or 𝟑
28 − 3𝑥
Question 8
𝑥 (a)

(b)
(a) (ii) 58 ˗ 2x (iii) x = 9
Figure Area of Perimeter of
Figure Figure
(b) (i) EF = 3 cm (ii) DF = 4 cm (iii) 42 cm2
(i) 4 16 22
(ii) 5 25 28
Question 4
(iii) 15 225 88
(a) (i) k = 0.5 (ii) y = 450 (iv) N n2 6n - 2

(b) (ii) (a) EF = 12 ± 0.1 cm (b) ∠EFG = 30°±1 Question 9

Question 5 (a) (i) (a) 12 m/s (b) 4 sec (c) 102 m


(ii) (a) 0 ≤ t ≤ 6 (b) 10 ≤ t ≤ 13 (c) 6 ≤ t ≤ 10
𝑥+5
(a) (i) (a) 3 (b) 12 (ii) 𝒇−𝟏 𝒙 = (b) (i) x + y ≤ 12 (iv) x = 3 y = 3
2

(b) (i) 2 cm represents 1 unit (ii) 𝒚= −𝟑.𝟖±𝟎.𝟏 Question 10


(iii) x = -3, 1 (iv) −𝟒≤𝒚≤𝟓
(a) (i) 46° (ii) 56° (iii) 124°
Question 6
(b) (i) 8.57 m (ii) 12.2 m (iii) 46.9°
(a) (i) 54° Alternate Angles
(ii) 65° Co-Interior Angles Question 11
𝟏 𝟎 𝟏 𝟐
(a) (i) AB = ( ) (ii) ( )
(b) (i) (a)(0, 0) (b) 90° 𝟎 𝟏 𝟐 𝟓
𝒙 𝟏 𝟐 𝟐
(c) anticlockwise OR 270°, clockwise (iii) (𝒚) = ( )( ) (iv) x = 8, y = 19
𝟐 𝟓 𝟑
(ii) Congruent or same size and shape
(iii) (2, 1) (b) (ii) a) 3u (b) -u + v (c) -3u + 3v
(iii) KL is parallel to MN
KL = 3MN

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