P6 Mathematics SA2 2016 — Pei Hwa

Q: Round off 687 935 to the nearest ten thousands.

C. 690 000. The ten thousands digit is 8 (687 935). The next digit (thousands) is 7, which is 5 or more, so round up: 68 → 69. The result is 690 000.

Q: 5 2/3 = 4 □/3. What is the missing number in the box above?

A. 5. 5 2/3 = 4 + 1 + 2/3 = 4 + 3/3 + 2/3 = 4 5/3. So the missing number in the box is 5.

Q: Which of the following decimal has the greatest value?

B. 5.11. Comparing tenths place: 5.11 and 5.101 have 1 tenth (largest tenths), 5.01 and 5.011 have 0 tenths. Between 5.11 and 5.101, the hundredths are 1 vs 0, so 5.11 is greatest.

Q: The figure below shows part of a weighing scale. Which of the following is closest to the reading indicated by the arrow?

C. 46 kg. The scale is marked at 30, 40, 50, 60 kg with smaller intervals of 2 kg between the labelled values. The arrow points just past the midpoint between 40 and 50, at the third small mark, i.e. 46 kg.

Q: Which of the following is the same as 6.05 km?

C. 6050 m. 1 km = 1000 m, so 6.05 km = 6.05 × 1000 = 6050 m.

Q: The mass of a papaya is 4/7 of the mass of a watermelon. What is the ratio of the mass of the watermelon to the total mass of the 2 fruits?

D. 7 : 11. Let watermelon = 7 units, papaya = 4 units. Total = 7 + 4 = 11 units. Watermelon : total = 7 : 11.

Q: The figure below shows the positions of 8 different places in a zoo. Shanice was facing Wet Play at first. She then turned 225° anticlockwise. Where is Shanice facing now?

B. Pony Ride. The 8 places are spaced 45° apart around a centre. 225° ÷ 45° = 5 steps anticlockwise from Wet Play. Moving anticlockwise: Wet Play → Kidzworld Pavilion → Wild Animal Carousel → Kidzworld → Chimpanzee → Pony Ride. So she faces Pony Ride.

Q: Read the riddle below. "I am a 4-sided figure. The sum of angles in me adds up to 360°. I have parallel lines but I may not have any equal angles." What am I? Which one of the following is the correct shape?

D. Trapezium. A parallelogram, rectangle and rhombus all have pairs of equal angles. A trapezium has one pair of parallel sides and need not have any equal angles, fitting all clues.

Q: Express 0.507 as a percentage.

B. 50.7%. 0.507 × 100% = 50.7%.

Q: Mr Tan travelled 50 km in 30 minutes. What was Mr Tan's average speed?

C. 100 km/h. 30 minutes = 0.5 h. Average speed = distance ÷ time = 50 ÷ 0.5 = 100 km/h.

P6 Mathematics 2016 SA2 48 questions 100 marks

Source: Pei Hwa, 2016

This P6 Mathematics SA2 paper from Pei Hwa (2016) covers measurement, area and perimeter, geometry and angles, ratio, percentage and money across 48 questions worth 100 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 687 935 to the nearest ten thousands.

Q1 Open-ended 2 marks

Twice of a number is greater than 1/3 of the number by 60. What is the number?

Q2 Open-ended 2 marks

A square-based container has a capacity of 2.873 ℓ. It has a base area of 169 cm². What is the height of the container?

Q2 MCQ 1 mark 🖼 Visual

5 2/3 = 4 □/3. What is the missing number in the box above?

Q3 MCQ 1 mark

Which of the following decimal has the greatest value?

Q3 Open-ended 2 marks

Li Hai's Mathematics score for the mid-year examination was 85. His Mathematics score for the year-end examination was 68. Find the percentage decrease in his Mathematics score.

Q4 Open-ended 2 marks 🖼 Visual

A survey was conducted to find out the types of pets owned by a group of children and the result is represented by the pie chart below. Dogs = 62, Cats = 91. 7/24 of the number of children owned hamsters. How many children took part in the survey?

Q4 MCQ 1 mark 🖼 Visual

The figure below shows part of a weighing scale. Which of the following is closest to the reading indicated by the arrow?

Q5 MCQ 1 mark

Which of the following is the same as 6.05 km?

Q5 Open-ended 2 marks

Mrs Rosie was paid $k an hour for working on weekdays and Saturdays, and $12 an hour on Sundays. How much would she be paid for working 6 hours each day for a week?

Q6 Open-ended 3 marks

Ali, Bala and Clive each gave the same amount of money to Don who had no money. Ali gave Don 1/2 of his money. Bala gave Don 1/5 of his money. Clive gave Don 2/7 of his money. In the end, what fraction of the total sum of money the 3 boys had did Don receive? Express your answer in the simplest form.

Q6 MCQ 1 mark

The mass of a papaya is 4/7 of the mass of a watermelon. What is the ratio of the mass of the watermelon to the total mass of the 2 fruits?

Q7 Open-ended 3 marks 🖼 Visual

The figure below is made up of a square, 1 large semicircle, 1 small semicircle and 2 quadrants. The square has a side 24 cm. Find the area of the shaded part. Give your answer correct to 2 decimal places.

Q7 MCQ 1 mark 🖼 Visual

The figure below shows the positions of 8 different places in a zoo. Shanice was facing Wet Play at first. She then turned 225° anticlockwise. Where is Shanice facing now?

Q8 MCQ 1 mark 🖼 Visual

Read the riddle below. "I am a 4-sided figure. The sum of angles in me adds up to 360°. I have parallel lines but I may not have any equal angles." What am I? Which one of the following is the correct shape?

Q8 Open-ended 3 marks

Doughnuts are sold in a box of 4 for $6.90 or one for $1.80. What is the maximum number of doughnuts that can be bought with $52.00?

Q9 MCQ 1 mark

Express 0.507 as a percentage.

Q9 Open-ended 3 marks 🖼 Visual

In the figure below, ABC is a right-angled triangle. BCD and BFE are straight lines. ∠BAF is 27°. ∠AFB is 77° and ∠EDB is 84°. Find ∠BED.

Q10 Structured 3 marks 🖼 Visual

The line graph below shows the number of iPhones sold from June to November. (a) What was the average number of iPhones sold in the six months? (b) The number of iPhones sold in August by 3 salesmen, Ben, Carl and Diego, was in the ratio 5 : 6 : 3. How many iPhones did Carl sell in August?

Q10 MCQ 1 mark

Mr Tan travelled 50 km in 30 minutes. What was Mr Tan's average speed?

Q11 Structured 4 marks

At first, the ratio of the number of pencils Abby had to the number of pencils Jack had was 4 : 3. Each child then gave away 40 pencils. In the end, the number of pencils Abby had was 3 times the number of pencils Jack had. (a) How many pencils did Abby have in the end? (b) How many pencils did Abby and Jack have altogether at first?

Q11 MCQ 2 marks

Which one of the following numbers has the same number of factors as 30?

Q12 MCQ 2 marks 🖼 Visual

The circle below is divided into 5 equal parts. It has a radius of 7 cm. Find the area of the shaded part. (Take π = 22/7)

Q12 Open-ended 4 marks

Mary and Joseph went shopping together with a total sum of $99. Mary spent twice as much as Joseph. The amount of money Joseph had left was $12 more than what he had spent. He had twice as much money left as Mary. How much did Joseph have at first?

Q13 Open-ended 4 marks 🖼 Visual

The figure below is made up of 4 quarter circles drawn on square grids. Find the area of the shaded part as shown below. (Take π = 3.14)

Q13 MCQ 2 marks 🖼 Visual

In the figure below, ABCD is a parallelogram. EBC is an equilateral triangle. Find ∠DEC.

Q14 Open-ended 4 marks 🖼 Visual

In the figure below, ABCO is a parallelogram, RSTO is a square and DAB is an isosceles triangle. ∠AOR is equal to ∠QOT. ∠ROQ is 42° and ∠ADB is 124°. Find ∠y.

Q14 MCQ 2 marks

Bailey had a total of 270 pens and rulers. After selling 1/3 of the pens and 2/3 of the rulers, the number of rulers left was twice the number pens left. How many pens did Bailey sell?

Q15 MCQ 2 marks 🖼 Visual

The pie chart below shows how Kumar spent 6 hours on Children's Day holiday. He spent twice as much time playing computer games as doing his homework. How much time did he spend playing computer games?

Q15 Open-ended 4 marks

John took 5 h to drive from Town A to Town B. At the same time, David started driving from Town A at a speed 18 km/h slower than that of John's. When John reached Town B, David still had 2/7 of the distance to cover. Find the time taken by David to cover the remaining distance.

Q16 Open-ended 1 mark

Find the value of 4.03 − 0.68.

Q16 Structured 5 marks

Bob the builder had twice as many screws as nails. The total mass of the screws and nails was 1054 g. The mass of the screws was 646 g more than the mass of the nails. The mass of each screw was 13 g more than the mass of each nail. (a) What was the mass of the nails in grams? (b) How many nails were there?

Q17 Structured 5 marks 🖼 Visual

A solid with a square base of side 11 cm and volume of 1573 cm³ was placed in a tank with its base touching the base of the tank as shown below. The water level in the tank was 23 cm. The tap attached to the tank was turned on and water flowed out at a rate of 3 ℓ/min. (a) How long does it take for the water level to just reach the top of the solid? (b) The tap was then turned off. What will the height of the water level be when the solid was then removed from the tank? (Give your answer correct to 2 decimal places.)

Q17 Open-ended 1 mark

Find the value of 3/4 ÷ 6.

Q18 Structured 5 marks

Finn, Glen and Hugo had some marbles in the ratio 2 : 3 : 5. Hugo gave 40% of his marbles to Finn and Glenn. As a result, Finn had the same number of marbles as Glen and Hugo had 36 fewer marbles than Finn. (a) What was the percentage increase of Finn's marbles after receiving marbles from Hugo? (b) How many marbles did Hugo have at first?

Q18 Open-ended 1 mark

Express 2.44 as a mixed number in its simplest form.

Q19 Open-ended 1 mark

The volume of a cube is 512 cm³. Find the length of one edge of the cube.

Q20 Open-ended 1 mark 🖼 Visual

The figure below is a three-quarter circle with diameter 14 cm. Find the perimeter of the figure. (Take π = 22/7)

Q21 Open-ended 1 mark 🖼 Visual

Name the solid that corresponds to the net below.

Q22 Open-ended 1 mark 🖼 Visual

In the figure below, ABCD is a rhombus. Find ∠BDC.

Q23 Open-ended 1 mark

Express 9/20 as a percentage.

Q24 Open-ended 1 mark 🖼 Visual

The table below shows the results of the Boys 400-m Freestyle final in the recent Asian Youth Games. Who is the fastest swimmer?

Q25 Open-ended 1 mark

Simplify 10n − 6 + 3n − 8n + 10.

Q26 Structured 2 marks

Find the value of 30 − (7 + 11) ÷ 3 × 4.

Q27 Structured 2 marks 🖼 Visual

The 2 right-angled triangles that form XYZ are identical to the 8 triangles in ABCD. EFGH is a square of area 25 cm² and AB is 9 cm. Find the area of XYZ.

Q28 Structured 2 marks 🖼 Visual

In the figure below, ABC is a right-angled triangle. EF is parallel to GH. Find ∠BCH.

Q29 Structured 2 marks

Mickey and Minnie had some cookies in the ratio 5 : 2. Mickey ate 38 cookies and Minnie made another 43 cookies. Then Mickey and Minnie had the same number of cookies. How many cookies did Mickey have at first?

Q30 Structured 2 marks 🖼 Visual

The graph below shows the number of visitors at Kidszania from Monday to Friday. The bar that shows the number of visitors on Thursday has not been drawn. If the percentage of visitors decreased by 36% from Thursday to Friday, what is the number of visitors on Thursday?

Related Sparks

Why You Can't Divide by Zero

Understanding Fractions

Long Division

Multiplication Table Memory Tricks

P6 Mathematics SA2 2016 — Pei Hwa

Related papers

Related Sparks

Related reads