· p6 maths sa2 2018 paper 2 worked solutions – pei hwa 2 show your working clearly in the...
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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Solutions to Word Problems
Pei Hwa Paper 2
P6 Mathematics SA2 2018
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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Show your working clearly in the space provided for each question and write your answers in the spaces provided.
6. 23 filled with water 2.25 ℓ
13 2.25 ÷ 2 = 1.125 ℓ
33 1.125 x 3 = 3.375 ℓ = 3375 cm3 = 15 x 15 x 15 cm3
Length of container = 15 cm
Ans: 15 cm
7. Cost of 1 set of 1 cupcake and 1 brownie = 2x + 0.8
Number of sets of 1 cupcake and 1 brownie = 50
2x + 0.8
Ans: 50
2x + 0.8
.
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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8. Let mass of Bag A = a
Mass of Bag B = b
b = a + 600 (1)
a = 600 + 12 b (2)
b = 600 + 12 b + 600 (3) substitute (2) into (1)
12 b = 1200
b = 2400
a = 600 + 12 x 2400 = 1800
a + b + c = 1800 + 2400 + 600 = 4800g
Ans: 4800g
9. Percentage spent on food & drinks = 50% - 10% = 40%
40% $480
1% $12
100% $1200
Percentage spent on clothes = 25% - 10% = 15%
Amount spent on clothes = 12 x 15 = $180
Ans: $180
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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10. Distance from Town A to Town B = 80 km/h x 2 hr = 160 km
Speed of truck = 160 ÷ (2 + 2) = 40 km / h
New truck speed = 40 + 10 = 50 km/h
Time at new truck speed = 160 ÷ 50 = 3.2 hr
Ans: 3.2 hr
11. a), b)
c)
Sum of all angles in E, T and R = 180 + 180 + 360 = 720°
Ans: (a) as shown
(b) as shown
(c) 720°
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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12. a)
Total spent from June to November = 800 + 600 + 700 + 1000 + 1100 + 900
= $5100
Average amount spent = 5100 ÷ 6 = $850
b)
Cost of necklace = 5
(4+5+3) x 900 = $375
Ans: (a) $850 (b) $375
13. Let total number of otah buns = 20u (multiple of 4,5)
Number of otah buns sold = 34 x 20u = 15u
Number of curry buns = 20u – 70
Number of curry buns sold = 35 x 20u -
35 x 70 = 12u - 42
Difference between otah and curry buns sold = 15u – (12u – 42)
= 3u + 42 = 126
3u = 126 – 42 = 84
u = 84 ÷ 3 = 28
Remainder otah buns = 20u – 15u = 5u = 5 x 28 = 140
Remainder curry buns = 20u – 12u – 70 + 42 = 8u -28 = 8x28 – 28 =196
Fraction of remaining buns that are curry buns = 196
(140+196) =
712
Ans: 712
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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14. a)
Let n = number of squares
Number of sticks = (n-1) x 3 + 4 = 3n + 1
= 3 x 13 + 1 = 40
b)
3n + 1 = 100
3n = 100 – 1 = 99
n = 99 ÷ 3 = 33
Ans: (a) 40
(b) 33
15. Volume of 4 3-cm cubes = 4 x 3 x 3 x 3 = 108 cm2
Total volume of water and cubes = 108 + 5747.3 = 5855.3 cm3
Base area = 40 x 20 = 800 cm2
Height of water level = 5855.3 ÷ 800 = 7.32 cm
Ans: 7.32 cm
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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16. a)
∠ ECD = 90 ÷ 45 = 72°
∠ DEC = 72° (Isosceles triangle)
∠ CDE = 180 – 72 – 72 = 36°
∠ ADE = 90 – 36 = 54°
∠AED = (180 – 54) ÷ 2 = 63° (ADE isosceles triangle)
b)
∠ DAE = 63°
∠ BAE = 90 – 63 = 27°
Ans: (a) 63°
(b) 27°
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P6 Maths SA2 2018 Paper 2 Worked Solutions – Pei Hwa
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17. Ratio of number of cookies given to Ryan, Gerald and Tim 7 : 3 : 2
7u : 3u : 2u
After Ryan gave 1u (320 cookies) to Tim, the ratio becomes
7u – 1u : 3u : 2u + 1u
6u : 3u : 3u where Tim had 50% as much as Ryan
u = 320
80% of cookies = 7u + 3u + 2u = 12u = 12 x 320 = 3840
10% of cookies = 480
100% of cookies at first = 480 x 10 = 4800
Ans: 4800