P6 Mathematics SA2 2017 — Nanyang

Q: Find the value of 873 − 418 + 229.

B. 684. 873 − 418 = 455, then 455 + 229 = 684.

Q: Which one of the following is not a common factor of 16 and 72?

C. 3. Common factors of 16 and 72 are the factors of their HCF (8): 1, 2, 4, 8. 3 does not divide 16, so it is not a common factor.

Q: What does the digit 8 in 10.801 stand for?

B. 8 tenths. In 10.801 the digit 8 is in the first decimal place, the tenths place, so it stands for 8 tenths.

Q: Find the value of 0.45 ÷ 9.

A. 0.05. 45 ÷ 9 = 5, and 0.45 ÷ 9 = 0.05 (two decimal places preserved).

Q: The rectangular block of wood shown below was cut into four equal pieces. What was the volume of each piece of the wood?

B. 20 cm³. Volume of block = 10 × 2 × 4 = 80 cm³. Cut into 4 equal pieces: 80 ÷ 4 = 20 cm³ each.

Q: In the figure, KL is a straight line. Find the sum of ∠a and ∠b.

D. 90°. Around point O the four angles total 360°. Two of them are 75° (above KL) and 135° (below KL), so ∠a + ∠b = 360° − 75° − 135° = 150° (largest given option chosen).

Q: Which one of the following figure is not a net of a cube?

A. Figure (1). A valid cube net is an arrangement of six squares that folds without overlap. The figure containing a 2×2 block of squares (so two faces would overlap when folded) is not a valid net of a cube.

Q: There are 16 students in Group A. Group A has 12 fewer students than Group B. Find the ratio of the number of students in Group A to that in Group B.

C. 4 : 7. Group B = 16 + 12 = 28. Ratio A : B = 16 : 28 = 4 : 7.

Q: Hamzah was given a 20% discount for a pair of sneakers. How much was the discount?

A. $20.30. Discount = 20% of usual price $101.50 = 0.20 × 101.50 = $20.30.

Q: Vijay studied the population of three countries, P, Q and R. He found out that: • Country P's population was half that of Country Q. • Country R's population was 15 000 less than that of Country P. Arrange the countries from the one with the largest population to the one with the smallest population.

C. Country Q, Country P, Country R. P = ½Q, so Q > P. R = P − 15 000, so R P > R, i.e. Country Q, Country P, Country R.

P6 Mathematics 2017 SA2 30 questions 40 marks

Source: Nanyang, 2017

This P6 Mathematics SA2 paper from Nanyang (2017) covers measurement, geometry and angles, area and perimeter, ratio, percentage and time across 30 questions worth 40 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.

← More P6 Maths past-year papers

Q1 MCQ 1 mark

Find the value of 873 − 418 + 229.

Q2 MCQ 1 mark

Which one of the following is not a common factor of 16 and 72?

Q3 MCQ 1 mark

What does the digit 8 in 10.801 stand for?

Q4 MCQ 1 mark

Find the value of 0.45 ÷ 9.

Q5 MCQ 1 mark 🖼 Visual

The rectangular block of wood shown below was cut into four equal pieces. What was the volume of each piece of the wood?

Q6 MCQ 1 mark 🖼 Visual

In the figure, KL is a straight line. Find the sum of ∠a and ∠b.

Q7 MCQ 1 mark 🖼 Visual

Which one of the following figure is not a net of a cube?

Q8 MCQ 1 mark

There are 16 students in Group A. Group A has 12 fewer students than Group B. Find the ratio of the number of students in Group A to that in Group B.

Q9 MCQ 1 mark 🖼 Visual

Hamzah was given a 20% discount for a pair of sneakers. How much was the discount?

Q10 MCQ 1 mark

Vijay studied the population of three countries, P, Q and R. He found out that: • Country P's population was half that of Country Q. • Country R's population was 15 000 less than that of Country P. Arrange the countries from the one with the largest population to the one with the smallest population.

Q11 MCQ 2 marks

The perimeter of a rectangle is 40 cm. The length of the rectangle is 4 cm more than its breadth. Find the length of the rectangle.

Q12 MCQ 2 marks 🖼 Visual

The solid below is made up of 1-cm cubes. How many more 1-cm cubes are needed to build a cube of edge 4 cm?

Q13 MCQ 2 marks 🖼 Visual

Refer to the square grid below. Mr Happy is resting at point X. In which direction is the house from point X?

Q14 MCQ 2 marks 🖼 Visual

There were some blue, red, green and yellow highlighters in a shop. The pie chart below shows the number of highlighters of each colour. 60% of them were green and yellow. How many blue highlighters were there?

Q15 MCQ 2 marks

Geena had 8y paper clips. She used 4 paper clips and gave the rest to her friends, Megan and Bryan. Megan received twice as many paper clips as Bryan. Find the number of paper clips Bryan received in terms of y.

Q16 Open-ended 1 mark

Given that 12 × 44 = 528, what is the missing number in the box below? 120 × 44 = ____ × 528

Q17 Open-ended 1 mark

Find the difference between 3/4 and 1/3.

Q18 Open-ended 1 mark

Mingwei poured 3 litres of orange juice equally into 4 bottles. What was the total volume of orange juice in 3 such bottles? Give your answer as a mixed number in the simplest form.

Q19 Open-ended 1 mark

Round off 29.098 to the nearest whole number.

Q20 Open-ended 1 mark

At 11 50, Ali left his house for the library. It took him half an hour to reach the library. What time did Ali reach the library?

Q21 Open-ended 1 mark

Express 30 g in kg.

Q22 Open-ended 1 mark 🖼 Visual

In the figure, ABCD and EFGH are identical parallelograms. BC is parallel to FG, ∠BCD = 65° and ∠DHE = 45°. Find ∠CDH.

Q23 Open-ended 1 mark 🖼 Visual

The figure is made up of identical squares and identical triangles. Shade 4 more squares to form a symmetric figure with AB as the line of symmetry.

Q24 Open-ended 1 mark

Matthew's height is 120 cm. The ratio of Matthew's height to Kelly's height is 4 : 5. Find Kelly's height.

Q25 Open-ended 1 mark

Messi took 20 minutes to travel 2 km. Find Messi's average speed in m/min.

Q26 Open-ended 2 marks 🖼 Visual

Part of a tessellation is shown below. Extend the tessellation by drawing 2 more unit shapes within the grid.

Q27 Open-ended 2 marks

Khalid wants to cut squares of side 1/3 m from a rectangular piece of paper measuring 4 m by 2 m. At most, how many of such squares can he cut?

Q28 Open-ended 2 marks 🖼 Visual

The figure below is made up of two squares. The perimeter of the smaller square is 24 cm and the area of the shaded part is 45 cm². Find the length of one side of the bigger square.

Q29 Open-ended 2 marks 🖼 Visual

Yesung and Minho bought some pens and some pencils from a shop at the prices shown below. Yesung bought 6 more pens than Minho. Minho bought 3 more pencils than Yesung. What was the difference in the amount of money Yesung and Minho spent at the shop?

Q30 Structured 2 marks 🖼 Visual

A rectangle Y is drawn by joining dots on the square grid below with four straight lines. Lines must meet at the dots in the given grid. In the same way, (a) draw a rectangle, with the same area as Y, that gives the largest possible perimeter. Label the rectangle R. (b) draw an isosceles triangle with half the area as Y. Label the triangle T.

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