P6 Mathematics SA2 2017 — Rosyth

Q: Round off 813.094 to the nearest hundredth.

A. 813.09. The hundredth place is the second decimal digit. 813.094 → the third decimal (4) is less than 5, so the hundredth digit stays 9, giving 813.09.

Q: Which of the following is eight hundred and eight thousand and eighteen in figures?

A. 808 018. Eight hundred and eight thousand = 808 000; and eighteen = 18; total = 808 018.

Q: Find the value of 11y − 5 + 7y when y = 4.

C. 67. 11y + 7y − 5 = 18y − 5. When y = 4: 18 × 4 − 5 = 72 − 5 = 67.

Q: Which one of the following fractions is equal to 4 6/7?

C. 34/7. 4 6/7 = (4 × 7 + 6)/7 = (28 + 6)/7 = 34/7.

Q: Which one of the following is the closest to the reading shown on the weighing scale below?

C. 15.4 kg. Major marks are at 10, 12, 14 and 16 with smaller ticks each 1 unit apart; the pointer sits just past the 15 mark (between 14 and 16), so the closest value is about 15.4 kg.

Q: Six dollars was exchanged for 10¢ coins and 20¢ coins. There were equal number of 10¢ coins and 20¢ coins. How many 10¢ coins were there in the change?

C. 20. One 10¢ + one 20¢ = 30¢ per matched pair. $6 = 600¢; 600 ÷ 30 = 20 pairs, so there are 20 ten-cent coins.

Q: Which one of the following fractions is smaller than 1/5?

B. 5/26. 1/5 = 0.2. 4/20 = 0.20 (equal), 6/27 ≈ 0.222, 7/33 ≈ 0.212, but 5/26 ≈ 0.192, which is smaller than 0.2.

Q: A group of 400 children was asked what their favourite food was. The pie chart shows their choices and the number of children who chose each type of food. Which type of food was chosen by 30% of the children?

C. Japanese food. 30% of 400 = 120 children. Japanese food was chosen by 120 children, so the answer is Japanese food.

Q: Which of the following is a net of a cube?

D. (Option 4). A cube net needs six squares that fold without overlap. Option 1 (P-shaped 2-over-4) and option 2 (straight line of 6) both overlap when folded; option 3 is not a valid arrangement. The 1-4-1 staircase (option 4) folds into a cube, so it is the correct net.

Q: The figure below shows a rectangle ABCD. E is the mid-point of BC. DEF is a straight line. Find ∠AED.

B. 32°. Triangles ABE and DCE are congruent (AB = DC, BE = CE, right angles at B and C), so ∠AEB = ∠DEC. ∠DEC = ∠BEF = 74° (vertically opposite). On straight line BEC, ∠AED = 180° − 74° − 74° = 32°.

P6 Mathematics 2017 SA2 30 questions 41 marks

Source: Rosyth, 2017

This P6 Mathematics SA2 paper from Rosyth (2017) covers measurement, geometry and angles, fractions, percentage, money and area and perimeter across 30 questions worth 41 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.

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Q1 MCQ 1 mark

Round off 813.094 to the nearest hundredth.

Q2 MCQ 1 mark

Which of the following is eight hundred and eight thousand and eighteen in figures?

Q3 MCQ 1 mark

Find the value of 11y − 5 + 7y when y = 4.

Q4 MCQ 1 mark

Which one of the following fractions is equal to 4 6/7?

Q5 MCQ 1 mark 🖼 Visual

Which one of the following is the closest to the reading shown on the weighing scale below?

Q6 MCQ 1 mark

Six dollars was exchanged for 10¢ coins and 20¢ coins. There were equal number of 10¢ coins and 20¢ coins. How many 10¢ coins were there in the change?

Q7 MCQ 1 mark

Which one of the following fractions is smaller than 1/5?

Q8 MCQ 1 mark 🖼 Visual

A group of 400 children was asked what their favourite food was. The pie chart shows their choices and the number of children who chose each type of food. Which type of food was chosen by 30% of the children?

Q9 MCQ 1 mark 🖼 Visual

Which of the following is a net of a cube?

Q10 MCQ 1 mark 🖼 Visual

The figure below shows a rectangle ABCD. E is the mid-point of BC. DEF is a straight line. Find ∠AED.

Q11 MCQ 2 marks

There were 200 erasers in a box. Tom gave some erasers to his friend and had 182 erasers left. What was the percentage decrease in the number of erasers?

Q12 MCQ 2 marks

John could type 150 words every 3 minutes. How long will he take to type an article of 2000 words?

Q13 MCQ 2 marks 🖼 Visual

Which of the following statements is TRUE of the diagram shown below?

Q14 MCQ 2 marks

At first, Kenny had 20 more postcards than Shan. Then, Shan gave 14 of his postcards to Kenny. Now, Kenny has 3 times as many postcards as Shan. How many postcards did Shan have at first?

Q15 MCQ 2 marks 🖼 Visual

The figure below is made up of 2 small identical circles and a big circle. The radius of the big circle is twice the radius of one small circle. Each small circle is divided into 4 quadrants. What fraction of the big circle is shaded?

Q16 Open-ended 1 mark

Find the smallest common multiple of 4 and 6.

Q17 Open-ended 1 mark

Find the value of 22.59 ÷ 30.

Q18 Open-ended 1 mark

Express 9.014 as a mixed number in its simplest form.

Q19 Open-ended 1 mark

There were 300 people at a park. 45% of the people were women. There were 120 children and the rest were men. How many men were there at the park?

Q20 Open-ended 1 mark 🖼 Visual

In the figure below, AB is 10 cm. B is the midpoint of AC, C is the midpoint of BD and D is the midpoint of BE. What is the length of AE?

Q21 Open-ended 1 mark

Philip was born on 9 August 1986. Oliver was born on 9 August 2000. In which year would Philip be twice as old as Oliver?

Q22 Open-ended 1 mark 🖼 Visual

The figure below is made up of two identical semicircles. The radius of the semicircle is 7 cm. Find the perimeter of the figure. (Take π = 22/7)

Q23 Open-ended 2 marks 🖼 Visual

The figure below is made up of two triangles GHL and JHK where GL = HL and JK = HK. Given that ∠GLH = 80° and ∠HJK = 70°, find ∠LHK.

Q24 Open-ended 1 mark 🖼 Visual

The grid shown below is made up of 1-cm squares. Draw a symmetrical triangle ABC that has an area of 6 cm² using the given line of symmetry.

Q25 Open-ended 1 mark 🖼 Visual

ABCD is a square whose area is 27 cm². The square is divided into 9 smaller squares of equal area. What is the area of triangle AEF?

Q26 Open-ended 2 marks 🖼 Visual

Annie filled a tank with water using two taps. First, she turned on Tap A. After 10 minutes, she also turned on Tap B. Both taps were turned off when the volume of water in the tank was 250 litres. The graph below shows the amount of water in the tank during 30 minutes. In one minute, how many litres of water flowed from Tap B?

Q27 Open-ended 2 marks

Erasers are sold in packets of m erasers. Each packet is sold at $4. Jon has $39. How many erasers can he buy at most?

Q28 Open-ended 2 marks

After a discount of 20%, a shop is selling a toaster for $64. A further $10 discount is given when it is bought online. What was the total percentage discount given when the toaster is bought online?

Q29 Open-ended 2 marks 🖼 Visual

The hexagon (6-sided) figure above is made up of 3 identical equilateral triangles X, Y and Z. Find the sum of ∠a, ∠b, ∠c, ∠d, ∠e and ∠f.

Q30 Open-ended 2 marks

A total of 90 red and yellow flags are lined along a jogging track. There are at least 4 red flags between any 2 yellow flags. What is the largest possible number of yellow flags along the jogging track?

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