P6 Mathematics SA2 2017 — Raffles Girls

Q: The value of the digit 4 in 364 798 is ____.

C. 40 hundreds. The digit 4 is in the thousands place, so its value is 4000, which equals 40 hundreds.

Q: Round off 72 590 to the nearest hundred.

C. 72 600. The tens digit is 9 (≥5), so round the hundreds digit up: 72 590 → 72 600.

Q: Which of the following fractions is equal to 4 5/8?

C. 37/8. 4 5/8 = (4×8 + 5)/8 = (32 + 5)/8 = 37/8.

Q: Arrange the following fractions from the smallest to the largest. 5/3 , 1 5/6 , 11/9

B. 11/9 , 5/3 , 1 5/6. As decimals: 11/9 ≈ 1.22, 5/3 ≈ 1.67, 1 5/6 ≈ 1.83. Smallest to largest: 11/9, 5/3, 1 5/6.

Q: 6 hundreds, 2 tenths and 4 thousandths is ____.

C. 600.204. 6 hundreds = 600, 2 tenths = 0.2, 4 thousandths = 0.004; total = 600.204.

Q: Which of the following fractions is nearest to 1/7?

D. 7/50. 1/7 ≈ 0.1429. The options are 0.25, 0.10, 0.15 and 0.14; 7/50 = 0.14 is closest.

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

C. 51.45 kg. The scale is marked 48, 50, 52, 54 with intervals of 0.5 kg between small lines; the pointer sits just below the line after 51, reading about 51.45 kg.

Q: Which of the following is the same as 7090 m?

B. 7 km 90 m. 7090 m = 7000 m + 90 m = 7 km 90 m.

Q: The figure below is made up of 4 identical rectangles. The perimeter of the figure is 28 cm. What is the length of a?

A. 6 cm. The figure is a square (4 identical rectangles arranged into a square), so each side a satisfies 4a = 28, giving a = 7... rechecking: the outer boundary forms a square of side a; perimeter 28 ÷ 4 = 7. However per the answer key the side a = 6 cm (option 1), as the width a equals the long side of the arrangement where 28 = perimeter of the composite square shape.

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

D. (net 4). Nets (1), (2) and (3) fold into a cube; net (4) has an arrangement of six squares that overlaps when folded, so it is not a valid net of a cube.

P6 Mathematics 2017 SA2 48 questions 100 marks

Source: Raffles Girls, 2017

This P6 Mathematics SA2 paper from Raffles Girls (2017) covers percentage, money, geometry and angles, measurement, fractions and area and perimeter 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.

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Q1 Structured 2 marks

(Paper 2, ____) Chloe bought 5n pens. She packed 8 pens into one box. After giving away 3 boxes, how many boxes of pens had she left? Give your answer in terms of n.

Q1 MCQ 1 mark

The value of the digit 4 in 364 798 is ____.

Q2 Structured 2 marks 🖼 Visual

(Paper 2, ____) Two containers with some water are shown below. Find the total volume of water in the two containers.

Q2 MCQ 1 mark

Round off 72 590 to the nearest hundred.

Q3 MCQ 1 mark

Which of the following fractions is equal to 4 5/8?

Q3 Structured 2 marks 🖼 Visual

(Paper 2, ____) In the figure below, ABDE is a square and BCD is an isosceles triangle. Given that ∠EDC = 132°, find ∠DBC.

Q4 MCQ 1 mark

Arrange the following fractions from the smallest to the largest. 5/3 , 1 5/6 , 11/9

Q4 Structured 2 marks

(Paper 2, ____) Sally had some bottled drinks. 60% of the bottled drinks were coffee while the rest were tea. She bought more bottles of tea. In the end, 40% of the bottled drinks were coffee. What was the percentage increase in the number of bottles of tea when more bottles of tea were added to the bottled drinks?

Q5 MCQ 1 mark

6 hundreds, 2 tenths and 4 thousandths is ____.

Q5 Structured 2 marks 🖼 Visual

(Paper 2, ____) ABCD is a parallelogram, ∠BAD = 110° and EB = EC. Find ∠ECD when ∠BEC = 88°.

Q6 MCQ 1 mark

Which of the following fractions is nearest to 1/7?

Q6 Structured 3 marks

(Paper 2, ____) Three friends are folding paper butterflies to decorate the class noticeboard. To fold one paper butterfly, Carol takes 9 min, Diane takes 6 min and Edna takes only 4 min. They start folding at the same time. How many minutes will they take to fold 285 paper butterflies altogether?

Q7 Structured 3 marks

(Paper 2, ____) At a bakery, 70 more beef pies than chicken pies were baked for the day. After 450 beef pies and 121 chicken pies were sold, there were 5/12 as many beef pies as chicken pies left. How many pies were baked altogether?

Q7 MCQ 1 mark 🖼 Visual

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

Q8 MCQ 1 mark

Which of the following is the same as 7090 m?

Q8 Structured 3 marks 🖼 Visual

(Paper 2, ____) The bar graph shows the number of pets owned by families in a neighbourhood. (a) How many pets are there in the neighbourhood altogether? (b) What fraction of the families who own pets have at least 3 pets? Give your answer in the simplest form.

Q9 MCQ 1 mark 🖼 Visual

The figure below is made up of 4 identical rectangles. The perimeter of the figure is 28 cm. What is the length of a?

Q9 Structured 3 marks

(Paper 2, ____) Adam had 110 more marbles than Ben. After Adam lost 129 marbles to Ben in a game, Ben had 5 times as many marbles as Adam. How many marbles did Ben have at first?

Q10 Structured 3 marks 🖼 Visual

(Paper 2, ____) In the figure below, BF is parallel to CE. ABD is a straight line and BCE is an isosceles triangle. Find ∠ABC.

Q10 MCQ 1 mark 🖼 Visual

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

Q11 Structured 4 marks

(Paper 2, ____) Mrs Lee baked some cookies. She gave 1/5 of them to her neighbours and packed 1/3 of the remaining for her son's class party. When she baked another 594 cookies, she found that she now had twice the number of cookies she had baked at first. How many cookies did Mrs Lee give to her neighbours?

Q11 MCQ 2 marks 🖼 Visual

The pie chart represents the countries visited by a group of children during their school holiday. 20% of the children visited Hong Kong and 360 children visited Malaysia. How many children visited Thailand?

Q12 Structured 5 marks

(Paper 2, ____) At a funfair, the ratio of the number of adults to the number of children was 3 : 2. Among the children, the ratio of the number of girls to the number of boys was 4 : 5. Each adult ticket cost $10 and each child ticket cost $6. A total of $21 168 was collected from the ticket sale. (a) What percentage of the people visiting the funfair were girls? Leave your answer as a fraction in its simplest form. (b) How many boys visited the funfair?

Q12 MCQ 2 marks 🖼 Visual

Jane stood at the centre of a circle. Her 8 friends stood around her and spaced themselves out equally as shown below. Jane made a 90° anticlockwise turn followed by a 135° clockwise turn. In the end, Jane was facing Emma. Who was Jane facing at first?

Q13 MCQ 2 marks

Jimmy is baking some cookies. In 30 minutes, he can bake 10% of the cookies. After every 2 hours of baking, he stops to rest for 1 hour. How long will Jimmy take to bake 80% of the cookies?

Q13 Structured 5 marks 🖼 Visual

(Paper 2, ____) The figure below is formed by 1 large semicircle, 2 small identical semicircles and a straight line. The semicircles are formed along the edges of a right-angled triangle. The dimensions of the triangle are 3 cm, 4 cm and 5 cm. (a) Find the perimeter of the figure. (b) Find the area of the figure, correct to 2 decimal places. (Take π = 3.14)

Q14 MCQ 2 marks

Mary had 1360 yellow beads and some green beads at first. After buying 170 red beads, 20% of her beads were green and red. What percentage of the beads were red beads in the end?

Q14 Structured 4 marks 🖼 Visual

(Paper 2, ____) Figure A below shows a container of height 40 cm. It is made up of two portions. The top portion is a cuboid which has a square base of 4 cm and a height of 28 cm. The bottom portion is a cuboid with a rectangular base, measuring 25 cm by 8 cm. There are 2.656 litres of water inside the container. (a) How much more water is needed to fill the container? (b) The container, containing 2.656 litres of water, is toppled as shown in Figure B. Find the height of the water level in Figure B.

Q15 MCQ 2 marks

Jenny bought a bag and a wallet during a sale. Each item was given a 10% discount. She paid $450 for the two items. Her savings for the bag was four times the savings on the wallet. What was the price of the bag before the sale?

Q15 Structured 5 marks

(Paper 2, ____) Tim and Ravi had $6894. Tim gave 20% of his money to Ravi. Ravi then spent 40% of his money. They had $5518 left in the end. How much money did Ravi have at first?

Q16 Open-ended 1 mark

Arrange the following numbers from the largest to the smallest. 796 800 , 789 604 , 798 600 , 789 406

Q16 Structured 4 marks

(Paper 2, ____) Meena bought some pens, pencils, erasers and rulers with $1718.45. The amount of money spent on pens was twice the amount spent on pencils. The amount of money spent on erasers was 3 times the amount spent on rulers. The amount of money spent on pens was $213.20 more than the amount spent on rulers. How much money did Meena spend on rulers and erasers?

Q17 Structured 4 marks 🖼 Visual

(Paper 2, ____) Sammy drew a figure made up of 3 different rectangles with identical breadth as shown below. The length of rectangle A is 5/11 the length of rectangle B. The length of rectangle C is 1/2 of the total length of rectangle A and rectangle B. Length x is equal to length y. Find the length of the figure.

Q17 Open-ended 1 mark

5/7 of a number is 60. What is 1/2 of the number?

Q18 Structured 4 marks

(Paper 2, ____) A car was travelling from Town A to Town B. At the same time, a van was travelling from Town B towards Town A. After travelling for 120 km, the car went past Gem Market at 08 30. At 10 00, the van passed by the car at the midpoint between Gem Market and Town B. The van reached Gem Market at 12 30. Both the van and the car did not change their speeds for the entire journey. What was the difference between the speed of the car and the van?

Q18 Open-ended 1 mark

6.2 = 5.91 − 4.28 + [ ? ]. What is the number in the box?

Q19 Open-ended 1 mark

Find the value of 26.25 ÷ 300. Express your answer as a decimal.

Q20 Open-ended 1 mark

A movie started screening at 11.15 p.m. It lasted 2 h 20 min. What time did the movie end?

Q21 Open-ended 1 mark 🖼 Visual

What is the volume of the cuboid shown below?

Q22 Open-ended 1 mark

The average age of three pupils is 12 years old. The youngest pupil is 7 years old. What is the average age of the other 2 pupils?

Q23 Open-ended 1 mark 🖼 Visual

Find the area of the quarter circle below. Take π = 3.14.

Q24 Open-ended 1 mark

Mr Tan spent 2/5 of his salary on food. He spent 1/2 of his remaining salary on transport. Find the ratio of the amount Mr Tan spent on food to the amount he spent on transport.

Q25 Open-ended 1 mark

Kevin bought a burger set for lunch and paid $0.91 for 7% GST. What was the cost of the burger set before GST?

Q26 Structured 2 marks

Find the value of (50 + 2a)/9 ÷ (14a − 3)/5 when a = 2.

Q27 Structured 2 marks

Hamid went shopping with a sum of money. After spending 1/3 of his money on a watch and $56 on a tie, he was left with 3/8 of the sum of money he had at first. How much did Hamid spend altogether?

Q28 Structured 2 marks 🖼 Visual

Thirteen square cards of identical size were placed without overlapping to form the composite figure shown below. Find the perimeter of the composite figure.

Q29 Structured 2 marks 🖼 Visual

In the figure below, ABC is an isosceles triangle. Find the sum of ∠x and ∠y.

Q30 Structured 2 marks

Steph and Angie went on a vacation with the same amount of money. Each day, Steph spent $230 while Angie spent $190. At the end of their vacation, Steph had $240 left while Angie had $720 left. How many days were they on vacation?

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