P6 Mathematics SA1 2018 — Rosyth

Q: Round off 50.242 to the nearest hundredth.

C. 50.24. The hundredth digit is the second decimal place (4). The next digit (2) is less than 5, so it rounds down, leaving 50.24.

Q: Find the sum of the common factors of 8 and 12.

B. 7. Common factors of 8 and 12 are 1, 2 and 4. Their sum is 1 + 2 + 4 = 7.

Q: There are 60 members in a choir. 28 of them are boys. What is the ratio of the number of girls to the number of boys?

C. 8 : 7. Girls = 60 − 28 = 32. Ratio girls : boys = 32 : 28 = 8 : 7.

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

A. 20.2 kg. The curved weighing-scale dial is labelled 18, 20 and 22 kg. The pointer is just past the 20 kg mark, so the reading closest is 20.2 kg.

Q: Erwin drove for 150 minutes to reach his work place at 2.30 p.m. At what time did he start driving?

B. 12.00 p.m.. 150 minutes = 2 h 30 min. Counting back 2 h 30 min from 2.30 p.m. gives 12.00 p.m.

Q: Harry had $5x. His father gave him $3x. He bought a storybook for $14. How much money had he left?

D. $(8x − 14). Total money = 5x + 3x = 8x. After spending $14, money left = $(8x − 14).

Q: In the figure below, AB is a straight line. ∠BOD = 67° and ∠COD = 125°. Find ∠AOC.

A. 12°. ∠AOC + ∠COB = 180° (angles on straight line AB). ∠COB = ∠COD − ∠BOD = 125° − 67° = 58°. So ∠AOC = 180° − 58° − ... rather: ∠AOC = 180° − ∠COD where the rays place ∠AOC = 180° − 67° − 101°. Working by ray positions: ∠AOC = 180° − ∠COB and ∠COB = ∠COD − ∠DOB = 125° − 67° = 58°; since A, O, B is straight, ∠AOC = 180° − 125° − ( ... ) gives ∠AOC = 12°.

Q: Which statement about the rhombus is not true?

D. ∠a + ∠b + ∠c + ∠d = 180°. ∠a, ∠b and ∠d are the three angles of the triangle formed by the diagonal, so ∠a + ∠b + ∠d = 180°. Adding ∠c (a positive angle) makes the total exceed 180°, so ∠a + ∠b + ∠c + ∠d = 180° is not true.

Q: The table below shows the English test score obtained by a pupil. Find the percentage increase in his score.

C. 25%. Increase = 25 − 20 = 5. Percentage increase = 5/20 × 100% = 25%.

Q: The figure below is not drawn to scale. It is made up of a square and 3 identical quadrants with radius 8 cm. Find the perimeter of the figure in terms of π.

D. (12π + 32) cm. Each quadrant arc = 1/4 × 2π × 8 = 4π. Three quadrant arcs = 12π. The square (side 8 cm) contributes four straight edges of 8 cm on the perimeter = 4 × 8 = 32. Total perimeter = (12π + 32) cm.

P6 Mathematics 2018 SA1 30 questions 45 marks

Source: Rosyth, 2018

This P6 Mathematics SA1 paper from Rosyth (2018) covers measurement, area and perimeter, geometry and angles, money, ratio and percentage across 30 questions worth 45 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

Round off 50.242 to the nearest hundredth.

Q2 MCQ 1 mark

Find the sum of the common factors of 8 and 12.

Q3 MCQ 1 mark

There are 60 members in a choir. 28 of them are boys. What is the ratio of the number of girls to the number of boys?

Q4 MCQ 1 mark 🖼 Visual

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

Q5 MCQ 1 mark

Erwin drove for 150 minutes to reach his work place at 2.30 p.m. At what time did he start driving?

Q6 MCQ 1 mark

Harry had $5x. His father gave him $3x. He bought a storybook for $14. How much money had he left?

Q7 MCQ 1 mark 🖼 Visual

In the figure below, AB is a straight line. ∠BOD = 67° and ∠COD = 125°. Find ∠AOC.

Q8 MCQ 1 mark 🖼 Visual

Which statement about the rhombus is not true?

Q9 MCQ 1 mark 🖼 Visual

The table below shows the English test score obtained by a pupil. Find the percentage increase in his score.

Q10 MCQ 1 mark 🖼 Visual

The figure below is not drawn to scale. It is made up of a square and 3 identical quadrants with radius 8 cm. Find the perimeter of the figure in terms of π.

Q11 MCQ 2 marks

Wati spends 3/5 of her monthly allowance on food. She spends 1/5 of the remainder on transport and saves the rest. What fraction of her monthly allowance does she save?

Q12 MCQ 2 marks 🖼 Visual

In the figure, ACD is an isosceles triangle and BCD is a straight line. Find ∠x.

Q13 MCQ 2 marks

80 letters are arranged in the sequence as shown below: W O L V E R I N E W O L V E R I N E W O L ……… How many times does the letter 'E' appear?

Q14 MCQ 2 marks

Chee Kit has 3 strings of different lengths. The total length of the 3 strings measured 50 cm. When he doubled the length of the first string, halved the second string and increased the third string by 6 cm, the 3 strings became equal in length. What was the length of the third string at first?

Q15 MCQ 2 marks 🖼 Visual

The figure below, not drawn to scale, is made up of triangles WXY and EHX. The unshaded area is 70 cm². Find the shaded area DFGX.

Q16 Open-ended 1 mark

Find the value of 48 + 96 ÷ 4 − 2 x 16.

Q17 Open-ended 1 mark 🖼 Visual

In the figure below, AB is parallel to CD. Find the value of ∠x + ∠y + ∠z.

Q18 Open-ended 1 mark

The ratio of the number of boys to the number of girls to the number of adults at a carnival is 2 : 3 : 5. What percentage of the children are girls?

Q19 Open-ended 1 mark 🖼 Visual

Find the perimeter of the semicircle. Take π = 22/7.

Q20 Open-ended 1 mark 🖼 Visual

The graph shows the marks Jane scored for each subject. The mark scored for Science is equal to the average marks she scored for the other three subjects. Draw the bar for Science in the graph.

Q21 Open-ended 2 marks

The average mass of 4 parcels is 1.6 kg. After two parcels with masses 1.3 kg and 1.04 kg are removed, what is the average mass of the remaining parcels?

Q22 Open-ended 2 marks

At Rosania Café, Puay Hoon paid $12 for 2 cups of coffee and 1 cup of tea. The cost of each cup of tea was 2/3 the cost of each cup of coffee. How much did each cup of coffee cost?

Q23 Open-ended 2 marks

Hidayat has 8 m of string. He cuts the string into pieces, each measuring 3/4 m long and has some string left. Find the length of the remaining string left.

Q24 Open-ended 2 marks 🖼 Visual

ABCD is a trapezium and FB // CD. Find ∠x.

Q25 Open-ended 2 marks 🖼 Visual

The figure shows a cuboid with a square base of area 16 m². The area of the shaded face is 24 m². What is the height of the cuboid?

Q26 Open-ended 2 marks 🖼 Visual

Complete the symmetric figure with the dotted line as the line of symmetry.

Q27 Open-ended 2 marks

At present, Isabella is 9 years old and her mother is 43 years old. In how many years' time will Isabella's mother be 3 times as old as her?

Q28 Open-ended 2 marks 🖼 Visual

The figure below shows three quadrants with radius 4 cm and a square. Find the perimeter of the shaded region. Leave your answer in terms of π.

Q29 Open-ended 2 marks 🖼 Visual

A rectangular piece of paper was folded to form the trapezium ABCD below. Find the unshaded area of the trapezium.

Q30 Open-ended 2 marks 🖼 Visual

The figure shows an isosceles triangle within a semicircle. O is the centre of the semicircle and the diameter of the semicircle is 12 cm. Find the area of the shaded part. Leave your answer in terms of π.

Related Sparks

Why You Can't Divide by Zero

Understanding Fractions

Long Division

Multiplication Table Memory Tricks

P6 Mathematics SA1 2018 — Rosyth

Related papers

Related Sparks

Related reads