P5 Mathematics SA2 2021 — Nanyang | Singapore Past Year Paper

Q: What is the place value of the digit 3 in 40.035?

D. hundredths. In 40.035, the digits after the decimal point are tenths (0), hundredths (3) and thousandths (5). The digit 3 sits in the second decimal place, which is the hundredths place.

Q: Which of the following is the same as 76 m?

D. 0.076 km. 1 km = 1000 m, so 76 m ÷ 1000 = 0.076 km.

Q: Terry had 20 red buttons, 12 orange buttons and 32 purple buttons. What is the ratio of the number of red buttons to the number of orange buttons to the number of purple buttons?

B. 5 : 3 : 8. Ratio red : orange : purple = 20 : 12 : 32. Divide all by HCF 4 to get 5 : 3 : 8.

Q: Sarah can type 100 words in 1 minute. At this rate, how many words can she type in 1 hour?

C. 6000. 1 hour = 60 minutes. Words typed = 100 × 60 = 6000.

Q: There were 5000 participants in a cross country race. 1000 of them were children. What percentage of the participants in the race were children?

B. 20%. Percentage = (1000 / 5000) × 100% = 20%.

Q: There were 840 toy bricks in a box. Jason used 70% of them to build a castle. How many toy bricks did he use to build the castle?

C. 588. 70% of 840 = 70/100 × 840 = 588.

Q: Which line in the square grid is parallel to AB?

D. JK. On the grid, line AB rises with a particular slope. Counting grid squares, line JK has the same rise/run as AB, so JK is parallel to AB.

Q: What is the area of triangle ABC?

A. 16 cm². Extend the base from D. AD is perpendicular to DB at D, with AD = 8 cm. CB = 4 cm is the base of triangle ABC and the perpendicular height from A to base CB is 8 cm. Area = ½ × 4 × 8 = 16 cm².

Q: Four triangles A, B, C and D are drawn on the square grid below. Which triangle is an acute-angled triangle?

B. B. An acute-angled triangle has all three interior angles less than 90°. By inspecting the grid coordinates of each triangle, only triangle B has all three angles less than 90° (A is right-angled, C is obtuse and D is obtuse).

Q: The solid below is formed by unit cubes. How many unit cubes are there?

C. 21. Counting the unit cubes layer by layer: bottom L-shape has 12 cubes, the next layer up has 6 cubes, and the topmost layer has 3 cubes, totalling 21.

Q1 MCQ 1 mark

What is the place value of the digit 3 in 40.035?

Q2 MCQ 1 mark

Which of the following is the same as 76 m?

Q3 MCQ 1 mark

Terry had 20 red buttons, 12 orange buttons and 32 purple buttons. What is the ratio of the number of red buttons to the number of orange buttons to the number of purple buttons?

Q4 MCQ 1 mark

Sarah can type 100 words in 1 minute. At this rate, how many words can she type in 1 hour?

Q5 MCQ 1 mark

There were 5000 participants in a cross country race. 1000 of them were children. What percentage of the participants in the race were children?

Q6 MCQ 1 mark

There were 840 toy bricks in a box. Jason used 70% of them to build a castle. How many toy bricks did he use to build the castle?

Q7 MCQ 1 mark 🖼 Visual

Which line in the square grid is parallel to AB?

Q8 MCQ 1 mark 🖼 Visual

What is the area of triangle ABC?

Q9 MCQ 1 mark 🖼 Visual

Four triangles A, B, C and D are drawn on the square grid below. Which triangle is an acute-angled triangle?

Q10 MCQ 1 mark 🖼 Visual

The solid below is formed by unit cubes. How many unit cubes are there?

Q11 MCQ 2 marks

Arrange the following fractions from the largest to the smallest. 3/4, 3/11, 3/5, 3/8

Q12 MCQ 2 marks

The product of two numbers is 99. One of the numbers is 9. Find the average of the two numbers.

Q13 MCQ 2 marks

There were 4700 kg of flour in a factory at first. After 3050 kg of flour were sold, all the remaining flour was packed equally into 300 packets. What was the mass of flour in each packet?

Q14 MCQ 2 marks

Vincent had 50 stickers at first. After giving 3/10 of his stickers to George and 7 stickers to David, he had some stickers left. What fraction of the stickers did Vincent have left?

Q15 MCQ 2 marks

John had a roll of wire 10.55 m long. He cut 20 pieces of wire of equal length from the roll to give to his sister. He then had 0.35 m of wire left. What was the length of each piece of wire that he gave to his sister?

Q16 Open-ended 1 mark

Find the value of 45 ÷ (18 − 9) × 5 + 8.

Q17 Open-ended 1 mark

Find the value of 7 ÷ 8. Give your answer as a decimal.

Q18 Open-ended 1 mark

What is the missing number in the box? 8 : ☐ = 32 : 48

Q19 Open-ended 1 mark 🖼 Visual

In the figure below, AHE, BHF and CHG are straight lines. ∠DHE = 90°, ∠BHA = 20° and ∠GHF = 40°. Find ∠CHD.

Q20 Open-ended 1 mark 🖼 Visual

ABC is a triangle and AB = BC. Find ∠ABC.

Q21 Structured 2 marks

Joash had a total 250 white marbles and black marbles. He lost 43 white marbles. After that, the ratio of the number of white marbles to black marbles he had was 1 : 2. How many white marbles did Joash have in the end?

Q22 Structured 2 marks

What is the value of 3/4 × 2/5? Express your answer as a fraction in the simplest form.

Q23 Structured 2 marks 🖼 Visual

What is the volume of the cube shown below?

Q24 Structured 2 marks 🖼 Visual

Find the average cost of the 3 items below.

Q25 Structured 2 marks

The breadth of a rectangle is 4.5 cm. Its length is twice its breadth. What is the area of the rectangle?

Q26 Structured 2 marks

Krishna sold a total of 348 donuts on Saturday and Sunday. On Saturday, he sold 186 donuts. How many donuts did he sell on Sunday? Round your answer to the nearest hundred.

Q27 Structured 2 marks

The price of a laptop is $2000 before GST. What is the price of the laptop after adding 7% GST?

Q28 Structured 2 marks 🖼 Visual

Nana stacked 8 unit cubes and glued them together to form the solid below. Draw the front view and the side view of the solid on the grids below.

Q29 Structured 2 marks 🖼 Visual

The figure below is made up of 4 identical rectangles ABCH, CDEK, KEFJ and JFGH. The length of each rectangle is 27 cm. Find the area of the shaded triangle ABF.

Q30 Structured 2 marks 🖼 Visual

The table below shows the marks that Andy scored in his Science, English and Chinese tests. Part of the table is covered by an ink blot. The full marks for each test was 100. The average score for his three tests was 76 marks. Find the highest possible marks that Andy scored in his Science test.

Q31 Structured 2 marks

Bottle A contains 8 1/2 ℓ of lemonade. Bottle B contains 4 2/5 ℓ of lemonade more than bottle A. How many litres of lemonade are there in bottle A and bottle B altogether?

Q32 Structured 2 marks

A builder used 7 3/8 kg of cement to build a wall. How much cement did he use to build 4 such walls?

Q33 Structured 2 marks

Mr Tan bought 5 calculators on Monday. The average cost of these calculators was $38. He bought another calculator at $50 on Tuesday. Find the average cost of all the calculators he bought on these 2 days.

Q34 Structured 2 marks 🖼 Visual

In the figure below, ABC is an equilateral triangle and BCD is an isosceles triangle with BD = CD. AED is a straight line. AED is perpendicular to BEC. ∠ACD = ∠ABD = 90°. Find ∠ADC.

Q35 Structured 2 marks 🖼 Visual

Kelly has $50 to buy a cake and a fruit basket for her mother. The tables below show the types of cakes and the types of fruit baskets available for sale in a shop. How many possible sets can she choose to buy given that each set consists of a cake and a fruit basket?

Q36 Structured 3 marks

Cailing bought 4 oranges and 5 apples for $7.70. John paid $4.30 for 2 such oranges and 3 such apples. What was the cost of each apple?

Q37 Structured 3 marks

A baker baked 180 muffins. 30% of them were chocolate muffins, 50 of them were blueberry muffins and the rest were strawberry muffins. How many more strawberry muffins than chocolate muffins did he bake?

Q38 Structured 3 marks 🖼 Visual

In the figure below, ABCD is a rectangle. E is a point on line AB. F and G are points on line DC. The total shaded area of triangles DEF and FBG is 112 cm². AD = 14 cm and GC = 4 cm. Find the area of rectangle ABCD.

Q39 Structured 3 marks

At a party, the ratio of the number of adults to the number of children is 2 : 3. A total of 420 balloons are given to the adults and the children. Each adult gets 4 balloons and each child gets 2 balloons. How many children are there at the party?

Q40 Structured 3 marks 🖼 Visual

Five numbers were written on the whiteboard as shown below: 62, 43, 120, 11, 99. (a) Write down the 3 numbers that will give an average of 51. (b) After John wrote a 2-digit number on the same whiteboard, the new average of the six numbers became a multiple of 3. What was the largest possible 2-digit number written by John?

Q41 Structured 4 marks

Salleh worked 6 2/3 h daily from Monday to Friday. He worked 4 2/3 h on Saturday. He did not work on Sunday. He was paid $12 per hour. How many such weeks must he work to be paid a total of $4104?

Q42 Structured 4 marks 🖼 Visual

A tank measuring 50 cm by 20 cm by 40 cm was 1/4 filled with water as shown below. After some water was added into the tank, the water level in the tank increased to 3/5 of the height of the tank. How much water was added into the tank? Express your answer in litres.

Q43 Structured 4 marks

Zhi Ming, John and Raymond had the same amount of money at first. Zhi Ming spent all his money to buy a shirt and 6 pairs of identical socks. John bought 1 such shirt and a pair of trousers and had $72 left. The pair of trousers cost $8 more than each pair of socks. (a) What was the cost of the pair of trousers? (b) Raymond only bought 1 such shirt. How much money did he have left?

Q44 Structured 4 marks 🖼 Visual

In the figure below, ABCD is a rectangle. DEFG is a square and AGF is a right-angled triangle. AGHD, FHC and EDC are straight lines. (a) Find the area of triangle AGF. (b) Find the total area of the shaded parts.

Q45 Structured 4 marks

Mrs Ho had a total of 345 red beads and blue beads at first. She sold half of the red beads and bought another 30 blue beads. In the end, she had an equal number of red and blue beads. (a) How many red beads did she have at first? (b) How many more red beads than blue beads did she have at first?

Q46 Structured 5 marks 🖼 Visual

The table below shows the bicycle rental charges of two bicycle shops, Anyhow Ride and Superbike. (a) Suzy rented a bicycle for 3.5 hours from Anyhow Ride. Rashid rented a bicycle for 3.5 hours from Superbike. Who paid more for the rental charge, Suzy or Rashid, and how much more? (b) Each statement below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) to indicate your answer. (i) Ahmad rented a bicycle from Superbike for 2 hours. He paid $17.60 for the bicycle rental charge. (ii) Benny wants to rent a bicycle for more than 2 hours. It is cheaper for him to rent it from Anyhow Ride than from Superbike. (iii) Jian Hao rented a bicycle from Anyhow Ride. Timothy rented a bicycle from Superbike. Both of them rented their bicycles from 6.30 a.m. to 7.40 a.m. on Monday. Jian Hao paid $1.80 more than Timothy for the bicycle rental charge.

Q47 Structured 5 marks 🖼 Visual

Tisha uses circles and triangles to form figures that follow a pattern as shown below. (a) The table below shows the number of circles and triangles for the first four figures. Complete the table for Figure 5. (b) Find the number of triangles in Figure 100. (c) Find the total number of circles and triangles in Figure 25.

P5 Mathematics SA2 2021 — Nanyang

Related papers