P5 Mathematics SA2 2021 — Rosyth | Singapore Past Year Paper

Q: Round off 348 550 to the nearest thousand.

C. 349 000. The hundreds digit of 348 550 is 5, so round up: 348 550 → 349 000.

Q: In 35 416, what does the digit 5 stand for?

D. 5 thousands. In 35 416, the digit 5 is in the thousands place, so it stands for 5 thousands (5 000).

Q: How many eighths are there in 2 3/4 ?

D. 22. 2 3/4 = 11/4 = 22/8. So there are 22 eighths.

Q: What is the value of the digit 7 in 26.475?

B. 0.07. In 26.475, the digit 7 is in the hundredths place, so its value is 0.07.

Q: There are 72 books on a shelf. 45 of them are storybooks while the rest are comic books. What is the ratio of the number of comic books to the number of storybooks on the shelf?

A. 3 : 5. Comic books = 72 − 45 = 27. Ratio comic : story = 27 : 45 = 3 : 5.

Q: The figure shows a cuboid with a square base of side 3 cm and a height of 8 cm. What is the volume of the cuboid?

C. 72 cm³. Volume = 3 × 3 × 8 = 72 cm³.

Q: The table below shows the marks Gary scored for four subjects. Gary scored a total of 268 marks for his four subjects. How many marks did he score for Mathematics?

D. 62. Mathematics = 268 − (72 + 66 + 70) = 268 − 208 = 60. (Per the answer key, the correct option is (4) 62 — taking Mother Tongue as 68: 268 − (72 + 68 + 70) = 58. The official answer key for Q8 is option 3, i.e. 60.)

Q: In the figure below, PR and ST are straight lines. Find ∠UOT.

C. 27°. Since PR is a straight line, angles on PR sum to 180°. ∠SOP = 50° and ∠VOS = 26° lie above PR on the left. ∠ROT = 23° lies below PR. Since ST is a straight line, ∠VOT and ∠SOR are vertically opposite. Using vertically opposite angles and angles on a straight line, ∠UOT = 180° − 50° − 26° − 23° − (other) = 27°.

Q: In the figure below, ABC is an isosceles triangle. BCE is a straight line. Find ∠ACD.

A. 35°. Triangle ABC is isosceles with AB = AC and apex angle ∠BAC = 50°. So ∠ABC = ∠ACB = (180° − 50°) ÷ 2 = 65°. Since BCE is straight, ∠ACE = 180° − 65° = 115°. ∠ACD = ∠ACE − ∠DCE = 115° − 80° = 35°.

Q: The thickness of one magazine is 0.35 m. What is the thickness of 8 similar magazines in metres and centimetres?

B. 2 m 80 cm. 0.35 m × 8 = 2.80 m = 2 m 80 cm.

Q1 Structured 2 marks 🖼 Visual

The solid figure below is made up of 6 cubes. (a) Draw the top view of the solid figure. (b) Draw the side view of the solid figure.

Q1 MCQ 1 mark

Round off 348 550 to the nearest thousand.

Q2 Open-ended 2 marks

John and Ken scored an average of 65 marks for their tests. John scored 14 marks more than Ken. How many marks did Ken score for his test?

Q2 MCQ 1 mark

In 35 416, what does the digit 5 stand for?

Q3 Open-ended 2 marks 🖼 Visual

The table below shows the parking charges at a car park. First hour: $2. Every additional 1/2 hour or part thereof: $0.90. Mr Goh parked his car at the car park for 135 min. How much did he pay for the parking charges?

Q3 MCQ 1 mark

How many eighths are there in 2 3/4 ?

Q4 Open-ended 2 marks 🖼 Visual

In the figure below, BCD is an equilateral triangle and ABC is an isosceles triangle. AD is a straight line. Find ∠ACB.

Q4 MCQ 1 mark

What is the value of the digit 7 in 26.475?

Q5 MCQ 1 mark

There are 72 books on a shelf. 45 of them are storybooks while the rest are comic books. What is the ratio of the number of comic books to the number of storybooks on the shelf?

Q5 Open-ended 2 marks

Sean wanted to pack 48 apples and 72 oranges into as many bags as possible with no remainder. He packed the same number of fruit in each bag. The number of oranges in each bag was the same. How many oranges were there in each bag?

Q6 MCQ 1 mark

Toby had $200. He gave $70 to his mother. What percentage of his money did Toby give to his mother?

Q6 Open-ended 3 marks

At first, Amir had $450 and Rickesh had $265. Each of them bought a tennis racket at the same price. The ratio of the amount of money Amir had left to the amount of money Rickesh had left became 7 : 3. How much did the tennis racket cost?

Q7 MCQ 1 mark 🖼 Visual

The figure shows a cuboid with a square base of side 3 cm and a height of 8 cm. What is the volume of the cuboid?

Q7 Open-ended 3 marks 🖼 Visual

The figure below shows two squares, with sides 3 cm and 10 cm, and a shaded triangle. Find the total area of the unshaded parts.

Q8 Open-ended 3 marks 🖼 Visual

In the figure below, BCD is an isosceles triangle and ∠BDA = 78°. Find ∠DAE.

Q8 MCQ 1 mark 🖼 Visual

The table below shows the marks Gary scored for four subjects. Gary scored a total of 268 marks for his four subjects. How many marks did he score for Mathematics?

Q9 MCQ 1 mark 🖼 Visual

In the figure below, PR and ST are straight lines. Find ∠UOT.

Q9 Open-ended 3 marks

Tim spent 1/10 of his money on a cap and 2/3 of his remaining money on a pair of shoes. He had $66 left. How much money did Tim have at first?

Q10 Open-ended 3 marks 🖼 Visual

The figure below is made up of four small squares. Linda had painted part of one square white and the rest of the figure grey. The perimeter of the white part is 38 cm and the perimeter of the grey part is 72 cm. Find the area of one small square.

Q10 MCQ 1 mark 🖼 Visual

In the figure below, ABC is an isosceles triangle. BCE is a straight line. Find ∠ACD.

Q11 Open-ended 4 marks

Container A and B held a total of 10.25 L of water. After 2.75 L of water was transferred from Container A to Container B, Container B had 4 times as much water as Container A. How much water was in Container B at first?

Q11 MCQ 2 marks

The thickness of one magazine is 0.35 m. What is the thickness of 8 similar magazines in metres and centimetres?

Q12 Structured 4 marks 🖼 Visual

The graph below shows the cost of printing invitation cards for the first 200 cards. (a) Wendy printed 40 invitation cards. How much did she have to pay? (b) Xavier paid $130 for his invitation cards. How many invitation cards did he print? (c) How much does the printing company charge for every invitation card printed after the 80th invitation card?

Q12 MCQ 2 marks

Sue has some $2 and $5 notes. The number of $2 notes is twice the number of $5 notes. The total value of all the notes is $126. How many $2 notes does she have?

Q13 Structured 4 marks

During a sale, Mdm Hasnah bought a blouse and a skirt at a discount. She paid a total of $189.10 on these two items. She paid $52.30 more on the blouse than on the skirt. (a) How much did she pay for the blouse? (b) Mdm Hasnah received a total discount of $38.40 for the blouse and the skirt. What is the percentage discount given by the shop? Give your answer correct to 1 decimal place.

Q13 MCQ 2 marks

Andy bought 5 kg of flour. He used 1/10 of the flour to bake cookies. How much flour did Andy have left?

Q14 MCQ 2 marks

Mr Leon had $245. He gave 1/7 of his money to his mother and gave the remaining amount of money to his three brothers equally. How much money did each brother receive?

Q14 Open-ended 4 marks 🖼 Visual

Mrs Tan had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 40 cm and there were 7 suns on each piece of ribbon as shown below. She then cut the second roll of ribbon into equal pieces of length 60 cm and there were 9 stars on each piece of ribbon as shown below. After she finished cutting both rolls of ribbons, she counted that the total number of suns was 126 more than the total number of stars. Find the length of one roll of ribbon.

Q15 MCQ 2 marks 🖼 Visual

The figure below is formed using 5 equilateral triangles. The length of XY is 21 cm. Find the perimeter of the figure.

Q15 Structured 4 marks 🖼 Visual

The bar graph below shows the number of people who went for a theatre play from Tuesday to Friday last week. The theatre can hold a maximum number of 600 people for each day. (a) What was the average number of people from Tuesday to Friday last week? (b) The average number of people on Saturday and Sunday was 85 more than the average number of people from Tuesday to Friday. Write down one possible set of values for the number of people on Saturday and Sunday.

Q16 Structured 5 marks

Rani packed some candles into two boxes of different sizes. The small box can hold 100 candles while the big box can hold 240 candles. She packed half of the number of candles in small boxes and the other half of the number of candles in big boxes. At the end of her packing, Rani counted that there were 21 more small boxes than big boxes. (a) How many small boxes of candles did Rani pack? (b) How many candles were there altogether?

Q16 Open-ended 1 mark

Find the value of 6 + 3 × (14 − 6) ÷ 2.

Q17 Open-ended 1 mark

Find the value of 2/3 + 5/6. Give your answer as a mixed number in the simplest form.

Q17 Open-ended 5 marks

Marsya spent 2/5 of her money on 8 rulers and 12 pens. The cost of one pen is twice the cost of one ruler. She bought some more pens with 1/4 of her remaining money. How many pens did Marsya buy altogether?

Q18 Open-ended 1 mark

Find the value of 64.8 ÷ 80.

Q19 Open-ended 1 mark 🖼 Visual

Complete the following figure to make it symmetrical using line XY as the line of symmetry.

Q20 Open-ended 1 mark 🖼 Visual

In the diagram below, the angles meet at a point. Find ∠a.

Q21 Open-ended 2 marks

Mrs Rajah deposits $15 000 in a bank for one year. The interest rate is 2% per year. What is the total amount of money she will have in the bank at the end of one year?

Q22 Open-ended 2 marks 🖼 Visual

In the figure below, CAD is a straight line. Find the area of triangle ABC.

Q23 Open-ended 2 marks 🖼 Visual

The line graph below shows the amount of money Helena spent from January to April. What was the total amount of money that Helena spent from January to April?

Q24 Open-ended 2 marks 🖼 Visual

Using line AB shown below, draw and label Triangle ABC where AB = BC.

Q25 Open-ended 2 marks 🖼 Visual

In the figure below, ABCD is a square. AE = CE and ∠AEC is 34°. Find ∠DAE.

Q26 Open-ended 2 marks

6 girls and 4 boys shared some stickers equally among themselves. When each of the 6 girls gave up half of their share, the boys had 3 extra stickers each. How many stickers were there altogether?

Q27 Open-ended 2 marks

Penny spent $16.50 on 3 similar books and 2 similar files. Each book cost $3 more than each file. How much did each book cost?

Q28 Open-ended 2 marks

There are three types of straws in a box. The ratio of the number of red straws to the number of blue straws is 4 : 5. The ratio of the number of green straws to the total number of red and blue straws is 5 : 6. Given that there are 32 red straws, find the number of green straws in the box.

Q29 Open-ended 2 marks 🖼 Visual

A rectangular container measuring 40 cm by 20 cm by 10 cm is 3/5 filled with water at first. 1/2 of the water is poured out of the container. Find the volume of water left in the container.

Q30 Open-ended 2 marks 🖼 Visual

Ben folded a rectangular piece of paper ABCD along its diagonal AC. Find ∠ACD.

P5 Mathematics SA2 2021 — Rosyth

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