P5 Mathematics SA2 2021 — Ai Tong | Singapore Past Year Paper

Q: Write one million, one hundred and nine thousand and eight in numerals.

D. 1 109 008. One million = 1 000 000; one hundred and nine thousand = 109 000; eight = 8. Sum: 1 000 000 + 109 000 + 8 = 1 109 008.

Q: Which one of the following fractions is in its simplest form?

C. 5/12. 3/18 = 1/6, 4/20 = 1/5, 6/15 = 2/5 can all be simplified. 5/12 has HCF(5,12) = 1, so it is already in simplest form.

Q: How many fifths are there in 12 2/5?

D. 62. 12 2/5 = (12 × 5 + 2)/5 = 62/5, so there are 62 fifths.

Q: Which of the following could be the height of a classroom door?

A. 210 cm. A classroom door is roughly 2 m tall. 210 cm = 2.1 m, which is a realistic door height. The other options are either far too small (21 cm) or far too large (210 m, 21 m).

Q: In the number line below, what is the value of Q?

A. 3.720. The number line runs from 3.4 to 3.8 (span 0.4) divided into 20 equal small intervals, so each small interval = 0.02. Q sits 16 small intervals past 3.4, which is 3.4 + 0.32 = 3.72.

Q: What is the ratio of the number of star shapes to the number of heart shapes to the total number of shapes in the box below?

D. 3 : 1 : 4. Counting the shapes in the box: 9 stars and 3 hearts, total 12 shapes. Ratio stars : hearts : total = 9 : 3 : 12 = 3 : 1 : 4.

Q: What is the missing number in the ____? 7 : ____ = 2 : 8

B. 28. 2 : 8 simplifies to 1 : 4. To make 7 : ? equivalent, multiply both parts by 7: 7 : 28.

Q: Which of the following letters shown below does not have any line of symmetry?

A. N. Y has a vertical line of symmetry, D has a horizontal line of symmetry, H has both horizontal and vertical lines of symmetry. N has no line of symmetry (it has rotational symmetry of order 2 only).

Q: What is the value of (18 + 12 ÷ 2) × 3 ?

D. 72. Apply order of operations: 12 ÷ 2 = 6 first. Then 18 + 6 = 24. Finally 24 × 3 = 72.

Q: The diagram below shows a road map. A car travelled along Road S towards the south. After turning into another road, the car was facing south-east. Which road did it turn into?

D. Road Z. A car heading south that turns left (anticlockwise by 45°) would face south-east. From the map, Road Z branches off from Road Y at the southern end heading in the south-east direction relative to Road S.

Q1 MCQ 1 mark

Write one million, one hundred and nine thousand and eight in numerals.

Q2 MCQ 1 mark

Which one of the following fractions is in its simplest form?

Q3 MCQ 1 mark

How many fifths are there in 12 2/5?

Q4 MCQ 1 mark

Which of the following could be the height of a classroom door?

Q5 MCQ 1 mark 🖼 Visual

In the number line below, what is the value of Q?

Q6 MCQ 1 mark 🖼 Visual

What is the ratio of the number of star shapes to the number of heart shapes to the total number of shapes in the box below?

Q7 MCQ 1 mark

What is the missing number in the ____? 7 : ____ = 2 : 8

Q8 MCQ 1 mark 🖼 Visual

Which of the following letters shown below does not have any line of symmetry?

Q9 MCQ 1 mark

What is the value of (18 + 12 ÷ 2) × 3 ?

Q10 MCQ 1 mark 🖼 Visual

The diagram below shows a road map. A car travelled along Road S towards the south. After turning into another road, the car was facing south-east. Which road did it turn into?

Q11 MCQ 2 marks

The average of 7 numbers is 70. One of the numbers is 160. What is the average of the other 6 numbers?

Q12 MCQ 2 marks 🖼 Visual

Identical rectangular pieces, each measuring 3 cm by 10 cm, were cut out from a square piece of card. Three such rectangular pieces are shown in the figure below. What is the most number of such rectangular pieces that can be cut out from the square piece of card?

Q13 MCQ 2 marks 🖼 Visual

In the figure below, a rectangular piece of paper ABCD was folded along AC. ∠DAC is 62°. Find ∠DCB.

Q14 MCQ 2 marks 🖼 Visual

Container R is filled with water to a height of 13 cm at first. Container S is a 9-cm cubical container which is empty at first. After pouring all the water from container R into container S without spilling, how much more water is needed to fill container S to the brim?

Q15 MCQ 2 marks 🖼 Visual

Points U, V, W, X, Y and Z are points drawn on a pair of parallel lines. Points U, Y and Z have been joined to form Triangle UYZ. Which 3 of the points shown can be joined to form another triangle with the same area as Triangle UYZ?

Q16 Open-ended 1 mark

Find the value of 123.6 − 29.02

Q17 Open-ended 1 mark

5 children shared 4 pizzas equally. What fraction of a pizza did each child get?

Q18 Open-ended 1 mark

7/12 of the pupils in a class wear spectacles. Find the ratio of the number of pupils who do not wear spectacles to the number of pupils who wear spectacles in the class.

Q19 Open-ended 1 mark

Express 2/7 as a decimal. Give your answer correct to 2 decimal places.

Q20 Open-ended 1 mark

There are 350 markers in a box. 12% of them are red markers. How many red markers are there in the box?

Q21 Structured 2 marks 🖼 Visual

Johnny stacked 7 unit cubes to form the solid below. Draw the front view and the top view of the solid on the grids below.

Q22 Structured 2 marks

Use all the digits 4, 1, 5, 9 to form (a) the smallest multiple of 5 (b) the number closest to 5000

Q23 Open-ended 2 marks

There were 140 red apples and some green apples in a crate. For every 5 red apples, there were 2 green ones. How many apples were there in all?

Q24 Open-ended 2 marks

Daley had 9/10 m of yarn. He used 5/6 of it to knit a small pouch. How many metres of yarn did he use? Give your answer as a fraction in its simplest form.

Q25 Open-ended 2 marks 🖼 Visual

The table shows the parking charges at a car park. How much did Mr Lee pay to park his car there from 2.40 p.m. to 5.00 p.m.?

Q26 Open-ended 2 marks 🖼 Visual

In the diagram below, ABC is an isosceles triangle. AC = BC, ∠ACY = 132° and XY is a straight line. Find ∠ABX.

Q27 Open-ended 2 marks 🖼 Visual

The bar graph shows the number of movies watched by a group of children during the holidays. What percentage of the children watched more than 2 movies?

Q28 Open-ended 2 marks

Kate, Meg and Liz have an average mass of 49 kg. William and Henry have an average mass of 62 kg. What is the average mass of the five children?

Q29 Structured 2 marks 🖼 Visual

4 triangles, A, B, C and D, are shown in the square grid below. (a) In the grid, draw a rectangle that has an area 4 times the area of Triangle A. This rectangle must not overlap with any of the triangles shown. (b) Name all the triangles that have the same area.

Q30 Open-ended 2 marks

At first, Pavani had 30 fewer stickers than En Ling. After En Ling gave Pavani some stickers, Pavani had 62 more stickers than En Ling. How many stickers did En Ling give Pavani?

Q31 Open-ended 2 marks

Write down one decimal with a value between 7.8 and 7.9

Q32 Open-ended 2 marks 🖼 Visual

What is the price of the headphones after adding 7% GST?

Q33 Open-ended 2 marks

8 kg of rice was repacked into small packets. Each packet contained 200 g of rice. How many such small packets of rice were there?

Q34 Open-ended 2 marks

Yasmin made 90 sandwiches for a picnic. For every 20 sandwiches, she used 6 eggs. How many eggs did she use altogether?

Q35 Open-ended 2 marks 🖼 Visual

Rectangle ABCD is made up of 1 big shaded rectangle and 5 identical smaller unshaded rectangles. The area of the shaded rectangle is 35 cm² and the length of DC is 15 cm. What is the area of Rectangle ABCD?

Q36 Open-ended 3 marks 🖼 Visual

In the figure below, AOC and BOD are straight lines. ∠AOD = 97° and ∠DOE = 151°. Find ∠EOC.

Q37 Open-ended 3 marks

David wants to buy some erasers and pencils with a sum of money. If he buys 8 erasers and 6 pencils, he will have $3.50 left. If he buys 28 erasers and no pencils, he will have no money left. Each pencil costs $1.25. How much money does David have?

Q38 Open-ended 3 marks

Janet spent 2/5 of her money on 5 identical pairs of socks and 1/2 of the remaining amount on a cap. The cap cost $9.75. How much did each pair of socks cost?

Q39 Structured 3 marks 🖼 Visual

In the figure below, ABCD is a parallelogram. BC = BE, ∠AEB = 73° and ∠ADE = 115°. (a) Each statement below is either true, false, or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column. Statements: (i) ∠ADC and ∠ABC are equal. (ii) ∠BAE and ∠AEC add up to 180°. (iii) Triangle ABE is isosceles. (b) Find ∠DAE.

Q40 Open-ended 3 marks

Four classes 5A, 5B, 5C and 5D donated money at a Charity event. 5A, 5B and 5C donated a total of $380. 5C and 5D donated a total of $208. The ratio of the amount donated by 5C to the total amount donated by the four classes is 1 : 6. What is the amount donated by 5C?

Q41 Structured 4 marks 🖼 Visual

Last week, a shop sold a different number of cups of bubble tea every day from Monday to Sunday. It sold the fewest cups of bubble tea on Thursday. The table below shows the number of cups of bubble tea sold at the shop from Monday to Friday only. (a) What is the average number of cups of bubble tea sold from Monday to Friday? (b) The number of cups of bubble tea sold on Thursday was 87 less than the average number of cups of bubble tea sold on Saturday and Sunday. Write down one possible set of values for the number of cups of bubble tea sold on Saturday and on Sunday.

Q42 Open-ended 4 marks 🖼 Visual

The figure below is made up of triangle PQR, square PQUV and rectangle RSTU. RT and PT are straight lines. The square has an area of 121 cm². UT is three times as long as VU and ST is 20 cm. What is the area of the shaded triangle PRT?

Q43 Structured 4 marks 🖼 Visual

Sam had $900 at the end of June. He spent some of this amount from July to October. The line graph below shows the amount of money he had left at the end of each month. (a) How much did he have left in October? (b) How much did he spend in July? (c) What was the ratio of the total amount he spent from June to October to the amount he had left in the end? Give your answer in its simplest form.

Q44 Structured 4 marks 🖼 Visual

An empty rectangular tank measuring 80 cm by 65 cm by 24 cm was placed under 2 taps. Tap A was turned on first, with water filling the tank at a rate of 3 ℓ per minute. After 10 minutes, Tap B was turned on too, with water filling the tank at a rate of 1.74 ℓ per minute. The 2 taps were turned off once the tank was filled to the brim. (a) How much water was needed to fill the tank to the brim? (b) For how long was Tap B turned on?

Q45 Structured 5 marks

Aunt Stacey baked some buns to sell. 3/4 of the buns were butter buns and the rest were cheese buns. After 5/6 of the butter buns and 42 cheese buns were sold, she had 1/5 of all the buns left. (a) How many buns did she bake in all? (b) What fraction of the buns sold were cheese buns? Give your answer in its simplest form.

Q46 Structured 4 marks

50 boxes were used to pack a total of 471 calculators and board games at an event. Each box contained either only 25 calculators or only 6 board games. (a) Were there more calculators or more board games in all? Circle the correct item in the answer blank. (b) How many more?

Q47 Structured 5 marks 🖼 Visual

The figures below are formed using lines, ovals and rectangles in a pattern. The table below shows the number of lines, ovals and rectangles used to form each figure. (a) How many lines are there in Figure 5? (b) Which figure number has 112 lines? (c) A figure has 51 rectangles. How many ovals are there in this figure?

P5 Mathematics SA2 2021 — Ai Tong

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