P5 Mathematics SA2 2021 — Tao Nan | Singapore Past Year Paper

Q: Express seven million, six hundred and fifteen thousand and eight in numerals.

B. 7 615 008. Seven million = 7,000,000; six hundred and fifteen thousand = 615,000; eight = 8. Sum: 7,000,000 + 615,000 + 8 = 7,615,008.

Q: The mass of 10 Singapore $1 coins is about ____________.

C. 76 g. A Singapore $1 coin has a mass of about 7.6 g. So 10 coins ≈ 76 g.

Q: Find the difference between 0.08 and 7.324.

A. 7.244. 7.324 − 0.08 = 7.244.

Q: Find the product of 8/3 and 5/12.

C. 1 1/9. 8/3 × 5/12 = 40/36 = 10/9 = 1 1/9.

Q: How many quarter turns does the minute hand of a clock make from 10.30 a.m. to 1 p.m.?

D. 10. From 10.30 a.m. to 1 p.m. is 2 h 30 min = 150 min. The minute hand makes a quarter turn every 15 min. 150 ÷ 15 = 10 quarter turns.

Q: A rectangular tank measures 20 cm by 20 cm by 30 cm. What is the capacity of the tank?

C. 12 000 cm³. Capacity = 20 × 20 × 30 = 12,000 cm³.

Q: Samad runs thrice a week. Each time, he runs 2 1/4 km from his home to the park. Then he returns on the same route from the park to his home. What is the total distance that Samad runs in a week?

C. 13 1/2 km. Round trip = 2 × 2 1/4 = 4 1/2 km. In a week (3 times): 3 × 4 1/2 = 13 1/2 km.

Q: The figure below is divided into 36 equal squares. How many more squares must be shaded so that 50% of the figure is shaded?

A. 13. 50% of 36 = 18 squares need to be shaded. 5 squares are already shaded, so 18 − 5 = 13 more squares must be shaded.

Q: The table shows the number of books read by some students. How many students read at least 3 books?

D. 138. At least 3 books = 3 + 4 + more than 5 = 66 + 45 + 27 = 138 students.

Q: There are 25 goats and ducks on a farm and there are a total of 68 legs. How many ducks are there?

D. 16. Assume all 25 are goats: 25 × 4 = 100 legs. Excess = 100 − 68 = 32. Each duck (2 legs) replaces a goat (4 legs), saving 2 legs. Number of ducks = 32 ÷ 2 = 16.

Q1 MCQ 1 mark

Express seven million, six hundred and fifteen thousand and eight in numerals.

Q2 MCQ 1 mark

The mass of 10 Singapore $1 coins is about ____________.

Q3 MCQ 1 mark

Express 0.018 as a percentage.

Q4 MCQ 1 mark

Find the difference between 0.08 and 7.324.

Q5 MCQ 1 mark

Find the product of 8/3 and 5/12.

Q6 MCQ 1 mark

How many quarter turns does the minute hand of a clock make from 10.30 a.m. to 1 p.m.?

Q7 MCQ 1 mark 🖼 Visual

A rectangular tank measures 20 cm by 20 cm by 30 cm. What is the capacity of the tank?

Q8 MCQ 1 mark

Samad runs thrice a week. Each time, he runs 2 1/4 km from his home to the park. Then he returns on the same route from the park to his home. What is the total distance that Samad runs in a week?

Q9 MCQ 1 mark 🖼 Visual

The figure below is divided into 36 equal squares. How many more squares must be shaded so that 50% of the figure is shaded?

Q10 MCQ 1 mark 🖼 Visual

The table shows the number of books read by some students. How many students read at least 3 books?

Q11 MCQ 2 marks

There are 25 goats and ducks on a farm and there are a total of 68 legs. How many ducks are there?

Q12 MCQ 2 marks

The total mass of 20 identical cookie jars is 4.7 kg. Find the mass of 3 cookie jars.

Q13 MCQ 2 marks

Raj packed sweets into three containers, A, B and C, in the ratio 3 : 4 : 2. He packed 30 sweets into container A. How many sweets did he have altogether?

Q14 MCQ 2 marks 🖼 Visual

The diagram below shows the different places in a neighbourhood. Sally is facing the library after turning 270° anti-clockwise. Where was she facing at first?

Q15 MCQ 2 marks 🖼 Visual

The figure is made up of a rectangle and a triangle. Find the shaded area.

Q16 Open-ended 1 mark 🖼 Visual

Which letter has both parallel and perpendicular lines? H A S

Q17 Open-ended 1 mark

Express 7 tens and 23 tenths in numerals.

Q18 Open-ended 1 mark

Find the sum of 1/6 and 1 3/4. Express your answer in its simplest form.

Q19 Open-ended 1 mark

Three students took part in a race. Ali took 48 s to complete the race. Bala took 3 s more than Ali while Carl was faster than Bala by 1 s. How long did Carl take to complete the race?

Q20 Open-ended 1 mark 🖼 Visual

The bar graph shows the number of stamps Raju collected over 6 months. In which month did he collect twice as many stamps as he did in July?

Q21 Open-ended 2 marks 🖼 Visual

Use all the digits below to form the greatest odd number. 2 5 3 9 0 6

Q22 Open-ended 2 marks

5/12 of a number is 15. What is 5/6 of the number?

Q23 Open-ended 2 marks

The ratio of A : B is 1 : 2 and the ratio of B : C is 3 : 4. What is the ratio of A : C?

Q24 Open-ended 2 marks

Mary had $50. She spent $35 and saved the rest. What percentage of her money did she save?

Q25 Open-ended 2 marks

Huiyi is 1.6 m tall. She is 3 cm taller than her sister. What is her sister's height?

Q26 Open-ended 2 marks 🖼 Visual

In the figure below, shade 2 squares such that the figure is symmetrical along the line XY.

Q27 Open-ended 2 marks

Water flows from a water tank at the rate of 450 ml every minute. At this rate, how much water flows from the water tank in 20 seconds?

Q28 Open-ended 2 marks 🖼 Visual

The figure is made up of a rectangle, a square and an equilateral triangle. Find the perimeter of the figure.

Q29 Open-ended 2 marks

Raju started saving some money on Monday. Each day, he saved $0.50 more than the day before. He saved a total of $9 from Monday to Thursday. How much did Raju save on Monday?

Q30 Open-ended 2 marks 🖼 Visual

The line graph shows the amount of money Aminah saved at the end of each week from Week 1 to Week 4. Aminah wants to buy a present that cost $82. By which week will she have enough money to buy the present?

Q31 Structured 2 marks

At a wet market, squids are sold at $1.68 for every 100 g. How much does 1 1/10 kg of squids cost?

Q32 Structured 2 marks 🖼 Visual

The following figure, not drawn to scale, is made up of straight lines. Calculate ∠y.

Q33 Structured 2 marks

Bala's daily screen time on his laptop is 35 minutes on weekdays and 1 hour daily on Saturdays and Sundays. Bala was given 7 1/2 hours of total screen time based on this arrangement. He started on Friday. On which day would he complete the total duration?

Q34 Structured 2 marks

Find the sum of all the odd numbers that are less than 40.

Q35 Structured 2 marks 🖼 Visual

Rectangle A and Rectangle B overlap each other. Given that 1/6 of Rectangle A is shaded while 1/4 of Rectangle B is shaded, what fraction of the figure is not shaded?

Q36 Structured 3 marks

2 mangoes and 1 durian cost $9.10. A mango and 2 durians cost $12.80. Find the total cost of a mango and a durian.

Q37 Structured 3 marks

A typist can type 90 words per minute. For every 360 words, 7 words are typed wrongly. At this rate, how many words are typed correctly in 16 minutes?

Q38 Structured 3 marks 🖼 Visual

A rectangular tank is 75% filled with water. How much more water is needed to fill it completely? Give your answer in litres.

Q39 Structured 3 marks

This year, Kai Xuan's age is a multiple of 7. Next year, his age will be a multiple of 5. He is between 20 years old and 60 years old. How old will he be in 6 years' time?

Q40 Structured 3 marks 🖼 Visual

During a sale, Mr Shafi sold 2 identical laptops for $3600. This was after a 25% discount. What was the original price of one laptop?

Q41 Structured 4 marks 🖼 Visual

The figure shows two squares and a shaded triangle. Find the shaded area.

Q42 Structured 4 marks

Anne, Ming and Shanta had sweets in the ratio of 10 : 5 : 3. After Anne gave 68 sweets to Ming and Shanta, the three of them had the same number of sweets. (a) Find the ratio of the number of sweets that Anne had to the number of sweets Ming had to the number of sweets that Shanta had in the end. (b) Find the total number of sweets the children had.

Q43 Structured 4 marks

The first 15 numbers of a number pattern are given below. 4, 0, 1, 2, 4, 0, 1, 2, 4, 0, 1, 2, 4, 0, 1 … (1st … 15th) (a) What is the 628th number? (b) What is the sum of the first 627 numbers?

Q44 Structured 4 marks

Susan bought some English books at $14 each. She also bought an equal number of Chinese books at a different price. The average price of an English and a Chinese book was $11. Susan paid $30 more for the English books than the Chinese books. (a) What was the cost of a Chinese book? (b) How many English books did Susan buy?

Q45 Structured 4 marks 🖼 Visual

Part of the schedule for the bus shuttle service from East Mall to and from View Mall is shown below. Peter took the bus from East Mall to View Mall. Then he walked 10 minutes to reach John's house. He reached John's house at 12.15 p.m. Half an hour later, Peter and John decided to visit View Mall. They left View Mall in time for Peter to take the bus back to East Mall. Peter reached East Mall at 3 p.m. (a) At what time did Peter take the bus from East Mall? (b) How long did Peter and John spend at View Mall?

Q46 Structured 5 marks

On Friday, Sean read 3/7 of a storybook. On Saturday, he read 28 pages of the book. On Sunday, he read 2/5 of the remaining book, leaving 36 pages unread. (a) Find the number of pages read on Sunday. (b) Find the total number of pages in the book.

Q47 Structured 5 marks

Dawn had 3 times as many beads as toothpicks. After she used 186 beads and 27 toothpicks, there were twice as many toothpicks as beads. (a) How many beads did Dawn have in the end? (b) How many toothpicks did Dawn have at first?

P5 Mathematics SA2 2021 — Tao Nan

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