P6 Mathematics SA2 2015 — Raffles Girls

Q: SECTION A. The value of the digit 5 in 657 841 is ____.

C. 50 000. In 657 841 the digit 5 occupies the ten-thousands place, so its value is 5 × 10 000 = 50 000.

Q: 9/24 = 15/[?]. What is the missing number in the box?

C. 40. 9/24 simplifies to 3/8. To get a numerator of 15 from 3, multiply by 5, so denominator = 8 × 5 = 40.

Q: In the numeral 7.539, the digit '3' stands for ____.

C. 3 hundredths. In 7.539, after the decimal point 5 is tenths, 3 is hundredths, 9 is thousandths. So 3 stands for 3 hundredths.

Q: Express 4.032 litres in millilitres.

D. 4032 ml. 1 litre = 1000 ml, so 4.032 × 1000 = 4032 ml.

Q: The length of a rectangle is three times as long as its breadth. Find the perimeter of the rectangle given that the length is 6 cm long.

B. 16 cm. Length = 6 cm, so breadth = 6 ÷ 3 = 2 cm. Perimeter = 2 × (6 + 2) = 16 cm.

Q: A number becomes 50 000 when rounded off to the nearest thousand. Which one of the following could the number be?

B. 49 783. Numbers from 49 500 to 50 499 round to 50 000. 49 783 lies in this range; 49 187 rounds to 49 000, 50 978 to 51 000, 51 879 to 52 000.

Q: A tank was completely filled with water. After pouring out 210 ml of water from the tank, it was 6/7 filled with water. What was the capacity of the tank?

D. 1470 ml. The 210 ml poured out = 1 − 6/7 = 1/7 of the tank. So capacity = 210 × 7 = 1470 ml.

Q: Express 3 1/20 as a decimal.

B. 3.05. 1/20 = 5/100 = 0.05, so 3 1/20 = 3.05.

Q: An examination lasted for 105 minutes. If the examination ended at 11 a.m., what time did it start?

A. 9.15 a.m.. 105 minutes = 1 hour 45 minutes. 11 a.m. minus 1 h 45 min = 9.15 a.m.

Q: The radius of a wheel is 14 cm. What is the distance that it will cover if it makes 10 turns? (Take π as 22/7)

B. 880 cm. Circumference = 2 × 22/7 × 14 = 88 cm (one turn). For 10 turns: 88 × 10 = 880 cm.

P6 Mathematics 2015 SA2 48 questions 100 marks

Source: Raffles Girls, 2015

This P6 Mathematics SA2 paper from Raffles Girls (2015) covers money, measurement, percentage, geometry and angles, ratio and fractions 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

SECTION A. The value of the digit 5 in 657 841 is ____.

Q1 Structured 2 marks

[Paper 2] There were 132p marbles in a box. The marbles are divided between Kathy and Sandy in the ratio of 4 : 7. Express the number of marbles Sandy received in terms of p. Ans: ____

Q2 Open-ended 2 marks

[Paper 2] There were 950 visitors at an art exhibition on Saturday. The number of visitors increased by 20% on Sunday. Find the number of visitors at the art exhibition on Sunday. Ans: ____

Q2 MCQ 1 mark 🖼 Visual

9/24 = 15/[?]. What is the missing number in the box?

Q3 Structured 2 marks 🖼 Visual

[Paper 2] PQ and PS are two sides of a parallelogram PQRS. Complete the parallelogram by drawing the other two sides in the square grid below.

Q3 MCQ 1 mark

In the numeral 7.539, the digit '3' stands for ____.

Q4 Open-ended 2 marks

[Paper 2] Arrange the following fractions from the largest to the smallest. 64/100 , 5/7 , 11/20 , 3/5

Q4 MCQ 1 mark

Express 4.032 litres in millilitres.

Q5 MCQ 1 mark

The length of a rectangle is three times as long as its breadth. Find the perimeter of the rectangle given that the length is 6 cm long.

Q5 Structured 2 marks 🖼 Visual

[Paper 2] In celebration of National Day, a school stage is decorated with a banner made up of 335 red and white triangles. One end of the banner is shown below. There are 4 red triangles between every 3 white triangles. How many red triangles are there on the banner? Ans: ____

Q6 MCQ 1 mark

A number becomes 50 000 when rounded off to the nearest thousand. Which one of the following could the number be?

Q6 Structured 3 marks 🖼 Visual

[Paper 2] The pie chart shows the number of marbles in a box. 1/2 of the marbles are green and red. The number of black marbles is 2/7 the number of white marbles. Express the number of red marbles as a fraction of the total number of marbles in the box. Leave your answer in the simplest form. Ans: ____

Q7 MCQ 1 mark

A tank was completely filled with water. After pouring out 210 ml of water from the tank, it was 6/7 filled with water. What was the capacity of the tank?

Q7 Structured 3 marks

[Paper 2] One pair of jeans and 3 identical shirts cost $484. The pair of jeans costs $3m more than a shirt. (a) Express the cost of a shirt in terms of m. (b) Given that m = 16, find the cost of a pair of jeans.

Q8 MCQ 1 mark

Express 3 1/20 as a decimal.

Q8 Structured 3 marks 🖼 Visual

[Paper 2] In the diagram below, ABKJ is a parallelogram, LDEG is a trapezium and line AF is a straight line. Given that LD//JK, ∠ABC = 65°, ∠MKH = 48°, ∠LHJ = 54°. Find (a) ∠JAK (b) ∠KFE.

Q9 MCQ 1 mark

An examination lasted for 105 minutes. If the examination ended at 11 a.m., what time did it start?

Q9 Structured 3 marks

[Paper 2] There are 540 children in School A and School B. 2/5 of the children in School A and 1/4 of the children in School B are girls. Given that there is an equal number of boys in both School A and School B, how many girls are there in School A?

Q10 Structured 3 marks

[Paper 2] Mrs Goh had some $2 notes and some $10 notes. She had 95 notes altogether. When she exchanged all the $10 notes for $2 notes, she found that she had 175 notes. How many $2 notes did she have at first?

Q10 MCQ 1 mark 🖼 Visual

The radius of a wheel is 14 cm. What is the distance that it will cover if it makes 10 turns? (Take π as 22/7)

Q11 Structured 4 marks

[Paper 2] Maria, Nelly and Olivia bought a present for their mother. The ratio of the amount paid by Maria to the total amount paid by Nelly and Olivia was 1 : 4. The amount paid by Nelly to the total amount paid by Maria and Olivia was 3 : 5. If Olivia paid $90 more than Nelly, how much is the cost of the present?

Q11 MCQ 2 marks

There were 650 people at a carnival. 60% of them were adults and the rest of them were children. How many children were there at the carnival?

Q12 Structured 5 marks 🖼 Visual

[Paper 2] The figure below is made up of 4 identical quadrants and a square. Find: a) the perimeter of the figure. b) the area of the figure. (Take π as 22/7)

Q12 MCQ 2 marks 🖼 Visual

The pie chart below shows how Mary spent her money on Sunday. She spent $225 more on clothes than on food. How much did she spend on shoes?

Q13 MCQ 2 marks 🖼 Visual

The figure below shows a cuboid. Which one of the following is a net of the cuboid?

Q13 Structured 4 marks

[Paper 2] There were 330 green and blue marbles in a bag. 1/2 of the green marbles and 3/4 of the blue marbles were then taken out by Lisa. In the end, there were 90 green and blue marbles left in the bag. How many of the marbles in the bag were blue at first?

Q14 MCQ 2 marks 🖼 Visual

There are 3 unit shapes below. Which one of the shapes below can be tessellated?

Q14 Structured 4 marks

[Paper 2] A tank measuring 80 cm by 50 cm by 60 cm was empty at first. Water from a tap started to fill the tank at a rate of 1.5 litres per minute. When the tank was 5/8 full, a crack appeared at the base of the container. Water began to leak from the crack at a rate of 500 cm³ per minute. What was the total time taken for the whole tank to be completely filled with water?

Q15 MCQ 2 marks

Mr Seah owns a farm in Lim Chu Kang. In his farm, 30 chickens can lay 63 eggs in 7 days on average. How many eggs will he expect 10 chickens to lay in 10 days on average?

Q15 Structured 4 marks

[Paper 2] At 7.30 a.m., Kimberly left Town P for Town Q driving at a speed of 75 km/h. Half an hour later, Brian also left Town P for Town Q driving at a certain speed. Both of them did not change their speed throughout the journey. At 10.30 a.m., both of them passed a post office that was 150 km away from Town Q. At what time did Brian reach Town Q?

Q16 Open-ended 1 mark

SECTION B. Arrange the following numbers from the smallest to the largest. 84 326 , 83 264 , 86 432 , 86 342

Q16 Structured 5 marks 🖼 Visual

[Paper 2] In Figure 1, Tank A is completely filled with water and Tank B is empty. Water is poured from Tank A into Tank B without spilling. The heights of the water level in the two tanks are now equal as shown in Figure 2. What is the height of the water level in Tank A in Figure 2?

Q17 Structured 5 marks

[Paper 2] Kelly spent a total of $384.30 on a dress and a handbag during a sale. She spent $166.70 more on the handbag than on the dress. (a) How much did she spend on the handbag? (b) The total discount given for the two items was $33.70. She was given a 5% discount for the handbag. What was the percentage discount given for the dress?

Q17 Open-ended 1 mark 🖼 Visual

What is the missing number in the box? [?] × 1/8 = 3/4 ÷ 2

Q18 Structured 4 marks

[Paper 2] Dave had some 50¢ coins. Wayne had some $1 coins. Dave gave 50% of his coins to Wayne and Wayne gave 50% of his coins to Dave. Wayne used some of the 50¢ coins to buy a book that cost $5. Dave used some of his $1 coins to buy a bag that cost $16. After that the ratio of the number of 50¢ coins to $1 coins Dave had was 1 : 2 and the number of 50¢ coins to the number of $1 coins Wayne had was 1 : 5. How much did Dave have at first?

Q18 Open-ended 1 mark

Find the value of 0.2 × 90.

Q19 Open-ended 1 mark 🖼 Visual

The picture below shows the mass of a cylinder. What is the mass of the cylinder in kilograms and grams? Ans: ____ kg ____ g

Q20 Open-ended 1 mark

The length of a cube is 9 cm. What is the volume of the cube? Ans: ____ cm³

Q21 Open-ended 1 mark 🖼 Visual

The line graph below shows the number of visitors in a shopping mall from February to June. What is the increase in the number of visitors from April to June?

Q22 Open-ended 1 mark

Express $2 as a percentage of 40-cents. Ans: ____ %

Q23 Open-ended 1 mark

Express 8.25 as a fraction in its simplest form.

Q24 Open-ended 1 mark 🖼 Visual

The figure below is made up of two identical triangles, TSR and QSR. ∠QST = 148°. Find ∠QSR. Ans: ____ °

Q25 Open-ended 1 mark

Danika's age is 4 times of Eddy's age and Eddy's age is 3/7 of Fandi's age. Find the ratio of Danika's age to Eddy's age to Fandi's age. Express your answer in its simplest form.

Q26 Structured 2 marks 🖼 Visual

MAGIC SHOW — Tickets at $20 each; $3 discount for every 4 tickets bought. Jacqueline is buying 6 tickets for the magic show. How much does she need to pay? Ans: $ ____

Q27 Structured 2 marks 🖼 Visual

Rectangle ABCD is divided into 6 identical small rectangles as shown below. Given that the perimeter of rectangle ABCD is 80 cm, find the area of one small rectangle. Ans: ____ cm²

Q28 Structured 2 marks 🖼 Visual

The table below shows the charges for renting a bicycle. First hour: $2k. Every subsequent hour: $(k + 3). Rachel rented one bicycle for 3 hours. How much did she pay for the rental? Give your answer in terms of k. Ans: $ ____

Q29 Structured 2 marks

Every month, Gary saved $320 of his salary and spent the rest. In December, his spending increased by 4% and he only managed to save $240. How much was his salary?

Q30 Structured 2 marks

Tina had 22 shelves with equal number of books on each shelf. She removed all the books from 12 of the shelves and placed them equally onto the remaining shelves. She found that these remaining shelves had 42 more books each. How many books were on each shelf at first?

Related Sparks

Why You Can't Divide by Zero

Understanding Fractions

Long Division

Multiplication Table Memory Tricks

P6 Mathematics SA2 2015 — Raffles Girls

Related papers

Related Sparks

Related reads