P6 Mathematics CA1 2021 — Henry Park | Singapore Past Year Paper

Q: Which digit in 15.89 is in the tenths place?

C. 8. In 15.89, the digit immediately after the decimal point is in the tenths place. That digit is 8.

Q: There were 585 640 visitors to a museum last year. Round this number to the nearest thousand.

B. 586 000. To round 585 640 to the nearest thousand, look at the hundreds digit (6). Since 6 ≥ 5, round up: 585 640 → 586 000.

Q: In the figure, ABC is a straight line. Find ∠w.

C. 106°. ABC is a straight line through B. The angles on one side of B (above the line) include 43°; the angles on the other side include 31° and w. Using angles on a straight line equal 180°: w = 180° − 43° − 31° = 106°.

Q: The figure below shows triangle KLM. Given that LM is the base, which of the following is the height?

A. KP. The height of a triangle is the perpendicular distance from a vertex to the opposite side (extended if needed). KP is drawn from vertex K perpendicular to the line LM extended (right angle marked at P), so KP is the height.

Q: Pravin is standing at the point marked P in the figure below. He is facing the market. What will he face when he turns 135° clockwise?

C. Food Centre. On an 8-point compass around P, each direction is 45° apart. Starting facing Market and turning 135° clockwise = 3 steps of 45°: Market → Apartment → Park → Food Centre.

Q: Vikram bought 5 identical pens at a bookshop. He gave the cashier $10 and received a change of $x. Find the cost of each pen in terms of x.

C. $((10 − x)/5). Total cost of 5 pens = amount paid − change = $10 − $x = $(10 − x). Cost of each pen = $(10 − x) ÷ 5 = $((10 − x)/5).

Q: Arrange the following fractions from the smallest to the largest: 4/3, 1 1/5, 5/4

C. 1 1/5, 5/4, 4/3. Convert to decimals: 4/3 ≈ 1.333; 1 1/5 = 1.2; 5/4 = 1.25. From smallest to largest: 1.2 < 1.25 < 1.333, i.e. 1 1/5, 5/4, 4/3.

Q: Which of the following is the same as 4090 g?

B. 4 kg 90 g. 1 kg = 1000 g, so 4090 g = 4000 g + 90 g = 4 kg 90 g.

Q: Lee was in school from 7.20 a.m. to 3 p.m. yesterday. How long was he in school yesterday?

B. 7 h 40 min. From 7.20 a.m. to 12 noon is 4 h 40 min. From 12 noon to 3 p.m. is 3 h. Total = 4 h 40 min + 3 h = 7 h 40 min.

Q: How many peach tarts did Pei bake for the fundraising event?

B. 132. Total peach tarts baked = peach sold + peach unsold. From Figure 1, peach sold ≈ 72. From Figure 2, peach unsold ≈ 60. Total = 72 + 60 = 132.

Q1 MCQ 1 mark

Which digit in 15.89 is in the tenths place?

Q2 MCQ 1 mark

There were 585 640 visitors to a museum last year. Round this number to the nearest thousand.

Q3 MCQ 1 mark 🖼 Visual

In the figure, ABC is a straight line. Find ∠w.

Q4 MCQ 1 mark 🖼 Visual

The figure below shows triangle KLM. Given that LM is the base, which of the following is the height?

Q5 MCQ 1 mark 🖼 Visual

Pravin is standing at the point marked P in the figure below. He is facing the market. What will he face when he turns 135° clockwise?

Q6 MCQ 1 mark

Vikram bought 5 identical pens at a bookshop. He gave the cashier $10 and received a change of $x. Find the cost of each pen in terms of x.

Q7 MCQ 1 mark

Arrange the following fractions from the smallest to the largest: 4/3, 1 1/5, 5/4

Q8 MCQ 1 mark

Which of the following is the same as 4090 g?

Q9 MCQ 1 mark

Lee was in school from 7.20 a.m. to 3 p.m. yesterday. How long was he in school yesterday?

Q10 MCQ 1 mark 🖼 Visual

How many peach tarts did Pei bake for the fundraising event?

Q11 MCQ 1 mark 🖼 Visual

Altogether, how many mango and grape tarts were left unsold at the end of the fundraising event?

Q12 MCQ 2 marks

Anna, Bala and Charlie shared an amount of money in the ratio 7 : 2 : 4. The average amount of money that each child received was $39. How much more money did Anna receive than Charlie?

Q13 MCQ 2 marks 🖼 Visual

Mr Tan travelled 2.8 km in a taxi from home to his office. His taxi fare was based on the charges shown below. How much was his taxi fare?

Q14 MCQ 2 marks

After giving 3 boxes of pencils to Molly, Aaron had 45 pencils left. Aaron then bought another 74 pencils. In the end, Molly and Aaron had 242 pencils altogether. How many pencils were there in each box that Aaron gave to Molly?

Q15 MCQ 2 marks

There are 21 lamp posts along a straight path. The distance between the 3rd and the 10th lamp post is 11.2 m. What is the distance between the first and the last lamp post?

Q16 Open-ended 1 mark

Find the value of 84 ÷ 7 − 4 × 2

Q17 Open-ended 1 mark

Find the value of 8 ÷ 2/5

Q18 Open-ended 1 mark

Write down the smallest common multiple of 6 and 8.

Q19 Open-ended 1 mark

Express 2 9/12 as a decimal.

Q20 Structured 1 mark 🖼 Visual

In the figure, shade 4 more squares to form a symmetric figure with AB as the line of symmetry.

Q21 Open-ended 2 marks

Find the value of 9 ÷ 7. Give your answer correct to 2 decimal places.

Q22 Open-ended 2 marks 🖼 Visual

The rectangular box below has a square base. Find its volume.

Q23 Open-ended 2 marks 🖼 Visual

Ms Tan bought 1.2 kg of squids. How much did she pay?

Q24 Open-ended 2 marks 🖼 Visual

The line graph shows the number of students who were late for school from January to May. 5/7 of all the students who were late were girls. How many boys were late?

Q25 Open-ended 2 marks 🖼 Visual

Find ∠c in the figure below.

Q26 Open-ended 2 marks

Ian spent 1/7 of his money on a pair of shoes and 1/4 of the remaining amount of money on some comic books. He had $450 left. Find the cost of the pair of shoes.

Q27 Open-ended 2 marks 🖼 Visual

Jacob had 3 m of wire. He cut some of the wire and bent it to form 5 squares of different sizes as shown in the figure below. CD is a straight line measuring 42 cm. Find the remaining length of wire in metres.

Q28 Open-ended 2 marks 🖼 Visual

In figure below, BCDE is a parallelogram, ABE and FED are straight lines, ∠BEF = 108° and ∠ABC = 39°. Find ∠CAB.

Q29 Open-ended 2 marks 🖼 Visual

A rectangular piece of paper is folded at corners A and B as shown below. Find ∠x.

Q30 Structured 2 marks 🖼 Visual

The figure shows a black square tile glued onto a bigger white square tile. The area of the white square tile not covered by the black square tile is 65 cm². Given that the length of each square tile is a whole number, what could the smallest possible length of the black square tile be?

Q31 Structured 2 marks

(Paper 2 ____) Ms Lim packed 9/11 kg of flour into packets. The mass of flour in each packet was 1/5 kg, except for the last packet. (a) How many packets contained 1/5 kg of flour each? (b) What was the mass of flour in the last packet?

Q32 Open-ended 2 marks 🖼 Visual

(Paper 2 ____) The figure shows a rectangular box partly filled with 1-cm cubes. What is the capacity of the rectangular box?

Q33 Open-ended 2 marks

(Paper 2 ____) Adam and Jerry had some stickers in the ratio 3 : 11 at first. After Jerry gave Adam 16 stickers, they both had the same number of stickers. How many stickers did Adam have in the end?

Q34 Open-ended 2 marks

(Paper 2 ____) Peter must score an average of 85 points for 3 games in order to win a prize at a funfair. Peter scored 68 points and 79 points for the first 2 games. What is the least number of points he needs to score in the 3rd game to win a prize?

Q35 Open-ended 2 marks 🖼 Visual

(Paper 2 ____) Figure 1 is a parallelogram. Figure 2 is made up of 7 such parallelograms. The perimeter of Figure 2 is 180 cm. What is the length of the side AB of the parallelogram?

Q36 Structured 3 marks 🖼 Visual

(Paper 2 ____) In the figure below, ABCD is a parallelogram, EAF is a straight line and ADE is an isosceles triangle. ∠BAF = 32° and ∠ABF = 84°. (a) Find ∠FCD. (b) Find ∠ADE.

Q37 Structured 4 marks 🖼 Visual

(Paper 2 ____) Adam had three boxes of different masses as shown in the table below. Box A: (m + 13) kg, Box B: 2m kg, Box C: (3m − 4) kg. (a) Find the total mass of all three boxes in terms of m. Given that the average mass of each box is 27 kg, (b) find the value of m. (c) find the mass of Box C.

Q38 Open-ended 4 marks 🖼 Visual

(Paper 2 ____) Lisa cut a square piece of paper along the dotted lines to get three rectangles: A, B and C. The areas of rectangles A, B and C are in the ratio 8 : 1 : 3. Given that the area of the square piece of paper was 324 cm², find the length of rectangle C.

Q39 Structured 3 marks 🖼 Visual

(Paper 2 ____) The fee for parking a car at a shopping mall is based on the charges shown at the table below. First 1 hour: $3.50. Every additional 30 min or less: $2.00. (a) Xin Yi parked her car at the shopping mall from 9.20 a.m. to 11 a.m. How much was her parking fee? (b) Willy paid $17.50 for his parking fee at the shopping mall. He left at 7.15 p.m. What would be the earliest time he arrived at the mall?

Q40 Open-ended 3 marks 🖼 Visual

(Paper 2 ____) The figure below is made up of a square and two triangles. Find the area of the figure.

Q41 Structured 3 marks 🖼 Visual

(Paper 2 ____) James wanted to fill an empty rectangular tank with a capacity of 160 litres. He turned on Tap A to add water into the tank at 0800. At 0810, he also turned on Tap B to add more water into the tank. The line graph shows the volume of water in the tank from 0800 to 0830. (a) How many litres of water flowed into the tank in 1 min from Tap A? (b) How many litres of water flowed into the tank in 1 min from Tap B?

Q42 Structured 4 marks 🖼 Visual

(Paper 2 ____) In the figure below, ABCD is a rhombus and EFGH is a trapezium. GH // FE, ∠EDB = 97°, ∠FEH = 110° and ∠BAD = 66°. HED and FEC are straight lines. (a) Find ∠GHE. (b) Find ∠FCD.

Q43 Structured 4 marks

(Paper 2 ____) At a concert, 55% of the tickets were sold at full price and 40% of the tickets at half price. The remaining 20 tickets were given away for free to a charity. The total amount of money collected was $7200. (a) How many tickets were sold at full price? (b) What was the full price of each ticket?

Q44 Open-ended 3 marks

(Paper 2 ____) After Mei spent 4/5 of her money and Ben spent 3/4 of his money, Mei had $65 more than Ben. How much more money did Mei have than Ben at first?

Q45 Structured 4 marks

(Paper 2 ____) Shane had some counters in three boxes: A, B and C. 3/8 of the number of counters in box A was equal to 2/5 of the number of counters in box B. There were four times as many counters in box A as box C. (a) What was the ratio of the number of counters in box A to the number of counters in box B to the number of counters in box C? (b) After Shane used half of the counters in box A and half of the counters in box B, he had a total of 195 counters left in the three boxes. How many more counters were there in box B than box C in the end?

Q46 Structured 5 marks

(Paper 2 ____) On Monday, Jimmy paid $42.90 for 9 jars and some marbles at a shop. On Tuesday, he went to the same shop and paid $64.70 for 11 jars and some marbles. Each jar cost $1. He bought 66 more marbles on Tuesday than Monday. Jimmy packed all the marbles he bought into the 20 jars. Some jars contained 12 marbles while the rest contained 16. Given that the cost of each marble was the same, (a) how many marbles did Jimmy buy altogether? (b) how many jars contained 16 marbles?

Q47 Structured 5 marks 🖼 Visual

(Paper 2 ____) Mr Lim and Mr Wong bought some light bulbs at prices shown below. Small Bulbs: 4 for $10. Large Bulbs: 3 for $16. (a) Mr Lim bought an equal number of small and large bulbs. He spent $102 more on the large bulbs than the small bulbs. How many bulbs did he buy altogether? (b) Mr Wong spent an equal amount of money on the small and large bulbs. What is the least number of large bulbs that he could have bought?

P6 Mathematics CA1 2021 — Henry Park

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