P5 Mathematics SA2 2021 — Henry Park | Singapore Past Year Paper

Q: What is the value of the digit 9 in the number 493 572?

D. 90 000. In 493 572, the digit 9 is in the ten thousands place, so its value is 9 × 10 000 = 90 000.

Q: Find the value of 80 ÷ 400

B. 0.2. 80 ÷ 400 = 80/400 = 0.2

Q: The opening hours of a bakery are shown below. How long is the bakery open each day?

C. 7 h 15 min. From 9.45 a.m. to 5.00 p.m.: 9.45 a.m. to 12.00 noon is 2 h 15 min; 12.00 noon to 5.00 p.m. is 5 h. Total = 7 h 15 min.

Q: Jack had $200. He spent 75% of his money. How much money did he spend?

D. $150. 75% of $200 = 0.75 × 200 = $150.

Q: After giving away 90 cupcakes, Mrs Chua was left with 2/5 of her cupcakes. How many cupcakes did she have left?

B. 60. The 90 cupcakes given away = 3/5 of total. So 1/5 = 90 ÷ 3 = 30. Left = 2/5 = 2 × 30 = 60.

Q: Michelle has 84 red and blue buttons in total. She has 12 blue buttons. What is the ratio of the number of blue buttons to the number of red buttons that Michelle has?

A. 1 : 6. Red = 84 − 12 = 72. Blue : Red = 12 : 72 = 1 : 6.

Q: A printer can print 40 posters in 2 minutes. At this rate, how many posters can the printer print in an hour?

A. 1200. Rate = 40 ÷ 2 = 20 posters per minute. In 60 minutes: 20 × 60 = 1200.

Q: A figure is drawn on the square grid shown. Which one of the following statements is true?

D. AF is parallel to BC. On the square grid, segment AF runs from A (upper area) down to F (lower-left). It is parallel to BC, which runs in the same direction at the same slope.

Q: In the number line below, what is the mixed number represented by X?

A. 6 2/3. Between 6 and 7 the number line is divided into 3 equal parts. X points to the second mark after 6, so X = 6 + 2/3 = 6 2/3.

Q: The shop sold twice as many pens in June as May. How many pens did the shop sell in June?

D. 960. From the bar graph, May ≈ 480 pens. June = 2 × 480 = 960.

Q1 MCQ 1 mark

What is the value of the digit 9 in the number 493 572?

Q2 MCQ 1 mark

Find the value of 80 ÷ 400

Q3 MCQ 1 mark 🖼 Visual

The opening hours of a bakery are shown below. How long is the bakery open each day?

Q4 MCQ 1 mark

Jack had $200. He spent 75% of his money. How much money did he spend?

Q5 MCQ 1 mark

After giving away 90 cupcakes, Mrs Chua was left with 2/5 of her cupcakes. How many cupcakes did she have left?

Q6 MCQ 1 mark

Michelle has 84 red and blue buttons in total. She has 12 blue buttons. What is the ratio of the number of blue buttons to the number of red buttons that Michelle has?

Q7 MCQ 1 mark

A printer can print 40 posters in 2 minutes. At this rate, how many posters can the printer print in an hour?

Q8 MCQ 1 mark 🖼 Visual

A figure is drawn on the square grid shown. Which one of the following statements is true?

Q9 MCQ 1 mark 🖼 Visual

In the number line below, what is the mixed number represented by X?

Q10 MCQ 1 mark 🖼 Visual

The shop sold twice as many pens in June as May. How many pens did the shop sell in June?

Q11 MCQ 2 marks 🖼 Visual

What is the average number of pens sold in each month from January to April?

Q12 MCQ 2 marks 🖼 Visual

In the figure, AB and CD are straight lines. Find ∠p.

Q13 MCQ 2 marks

At a party, the ratio of the number of adults to the number of children is 7 : 3. Given that there are 56 adults, how many more adults than children were there?

Q14 MCQ 2 marks 🖼 Visual

The solids below are made up of unit cubes. How many more unit cubes are used to form solid B than solid A?

Q15 MCQ 2 marks

Andy had a number of oranges. He could pack all his oranges equally into 25 boxes. If he packed 3 fewer oranges in each box, he would be able to pack all his oranges equally into 30 boxes. How many oranges did Andy have altogether?

Q16 Open-ended 1 mark

Find the value of 3/8 − 1/6

Q17 Open-ended 1 mark

Find the value of 14.21 ÷ 7

Q18 Open-ended 1 mark

Find the value of 16 − 72 ÷ 8 + (21 − 15)

Q19 Open-ended 1 mark

Write down all the common factors of 12 and 40.

Q20 Open-ended 1 mark

What is the missing number in the box? 15 : 45 = 4 : ____

Q21 Structured 2 marks 🖼 Visual

(a) In the figure, A, B and C are three points on a map. Point B is north of point C. In what direction is point B from point A? (b) Complete the drawing of the symmetric figure with XY as the line of symmetry.

Q22 Open-ended 2 marks

A car needs 7 litres of petrol to travel a distance of 56 km. At this rate, how much petrol does the car need to travel a distance of 144 km?

Q23 Open-ended 2 marks

Express 5/9 as a decimal. Give your answer correct to 2 decimal places.

Q24 Open-ended 2 marks 🖼 Visual

Find the area of the shaded triangle.

Q25 Open-ended 2 marks 🖼 Visual

The solid below is made up of 6 cubes. Draw the side view and the front view of the solid on the grid below.

Q26 Open-ended 2 marks 🖼 Visual

In the figure, ABK and PQK are equilateral triangles. Find ∠BKQ.

Q27 Open-ended 2 marks 🖼 Visual

The figure below is made up of 2 rectangles. The ratio of the area of the large rectangle to that of the small rectangle is 5 : 3. Find the area of the unshaded part of the figure.

Q28 Open-ended 2 marks 🖼 Visual

In the figure, ABC is an isosceles triangle where AB = AC. ACE and BCD are straight lines. Given that ∠DCE = 55°, find ∠BAC.

Q29 Open-ended 2 marks 🖼 Visual

The figure below is made up of 3 squares. The sides of the squares measure 4 cm, 5 cm and 6 cm. Find the perimeter of the figure.

Q30 Open-ended 2 marks

5/9 of the fruits in a basket are apples and the rest are pears. 3/10 of the apples are green apples. There are 21 green apples. How many fruits are there in the basket altogether?

Q31 Open-ended 2 marks

Amy has some blue, yellow and orange marbles. 1/6 of her marbles are blue. 1/3 of her remaining marbles are yellow and the rest are orange. What fraction of her marbles are orange?

Q32 Open-ended 2 marks 🖼 Visual

A cubical container is filled with water to a height of 16 cm as shown below. How much more water is needed to fill the container to the brim? Express your answer in litres.

Q33 Open-ended 2 marks 🖼 Visual

In the figure, ABCD is a rectangle where AC and BD are straight lines. Given that ∠AEB = 130° and AE = EC = DE = EB, find ∠ADB.

Q34 Open-ended 2 marks 🖼 Visual

Li Wen used some toothpicks and 35 stars to form a figure that follows a repeated pattern as shown below. How many toothpicks did he use to form the figure?

Q35 Open-ended 2 marks

Jane, Kelly and Lina had a sum of money. Jane and Kelly had $212 altogether. Kelly and Lina had $334 altogether. The amount that the three girls had in total was 6 times the amount that Kelly had. How much did Kelly have?

Q36 Structured 3 marks 🖼 Visual

The table below shows the parking charges at a carpark. (Parking Charges: For the first hour $1.70; For every additional 1/2 h $0.90.) (a) Mrs Tan paid $3.50 for her parking charges. What was the longest possible duration she could have parked her car? (b) Mrs Lee parked her car from 9 a.m. to 1.30 p.m. How much did she pay for her parking charges?

Q37 Structured 4 marks

Elaine baked a total of 425 chocolate and vanilla cupcakes. After she sold 85 vanilla cupcakes, the ratio of the number of chocolate cupcakes to the number of vanilla cupcakes left was 4 : 1. (a) How many vanilla cupcakes did Elaine have left? (b) What percentage of the cupcakes that she baked were chocolate cupcakes?

Q38 Open-ended 3 marks

Ivan has some black and white marbles. The total mass of all his marbles is 231 g. He has 3 more white than black marbles. The average mass of the black marbles is 8 g. The average mass of the white marbles is 9 g. How many marbles does Ivan have altogether?

Q39 Open-ended 3 marks 🖼 Visual

In the figure below, ABCD is a rectangle and BDE is an isosceles triangle. Given that BD = BE, ∠BED = 55° and ∠ADE = 253°, find ∠DBC.

Q40 Open-ended 3 marks 🖼 Visual

The graph below shows the number of books loaned out each year by a school library from 2014 to 2018. The average number of books loaned out each year by the school library from 2014 to 2020 is 450. Find the possible numbers of books loaned out in 2019 and 2020.

Q41 Structured 5 marks

Kenji had some money. He spent 1/6 of his money on food and $180 on transport. He spent 2/5 of the remaining money on a new watch. In the end, he had $2730 left. (a) What was the cost of the new watch? (b) How much money did Kenji spend on food?

Q42 Open-ended 3 marks

There are some $2 and $5 notes in a box. There are thrice as many $2 notes as $5 notes. Given that the total amount of money in the box is $2255, how many $2 notes are there in the box?

Q43 Structured 3 marks 🖼 Visual

At a shop, sofa sets and dining chairs were sold at the prices shown. Sofa Sets Usual Price: $1978 each. Dining Chairs Usual Price: $65 each. (a) Mrs Ang bought a sofa set at a discount of 35%. How much was the discount? (b) Mr Abdul bought some dining chairs at a discount of 20%. He paid $416 in total. How many dining chairs did he buy?

Q44 Structured 5 marks 🖼 Visual

Yan Ting and Emily bought sandwiches at the prices shown below. Salmon Sandwiches $9.60 each, Tuna Sandwiches $6.40 each. (a) Yan Ting spent $464 on some salmon and tuna sandwiches. She bought 15 more salmon than tuna sandwiches. How many tuna sandwiches did Yan Ting buy? (b) Emily spent an equal amount of money on the salmon and tuna sandwiches. What fraction of the sandwiches Emily bought were salmon sandwiches?

Q45 Open-ended 4 marks 🖼 Visual

Peter had a square piece of paper. He cut it along the dotted lines as shown in Figure 1 to get one small square of side 2 cm and four identical right-angled triangles. One such triangle is shown in Figure 2. Find the perimeter of the square piece of paper in Figure 1 before it was cut.

Q46 Open-ended 4 marks

At first, Foo, Garrett and Hong had the same amount of money. After Hong spent some of his money, Foo spent 2/5 of his money and Garrett spent 3/4 of his money, Foo had $238 more than Garrett. In the end, the total amount of money the three boys had left was $703. How much money did Hong spend?

Q47 Structured 5 marks 🖼 Visual

The first four figures of a pattern are shown below. The table below shows the number of circles and triangles used in each figure. (a) Fill in the table for Figure 5. (b) How many circles are there in Figure 39? (c) How many triangles are there in Figure 60?

P5 Mathematics SA2 2021 — Henry Park

Related papers