P5 Mathematics SA2 2021 — Catholic High | Singapore Past Year Paper

Q: Which of the following is three million, four hundred thousand and twenty in numerals?

C. 3 400 020. Three million = 3,000,000; four hundred thousand = 400,000; twenty = 20. Adding gives 3,400,020.

Q: Find the value of 48 000 ÷ 200

B. 240. 48 000 ÷ 200 = 480 ÷ 2 = 240.

Q: Which of the following is the same as 10 m 5 cm?

C. 1005 cm. 10 m = 1000 cm, plus 5 cm gives 1005 cm.

Q: Express 6 1/7 as an improper fraction.

D. 43/7. 6 × 7 = 42; 42 + 1 = 43. So 6 1/7 = 43/7.

Q: Find the volume of a cube of edge 4 cm.

D. 64 cm³. Volume of a cube = edge³ = 4 × 4 × 4 = 64 cm³.

Q: Line AB and CD are straight lines. ∠AOD = 120° and ∠BOE = 95°. Find ∠x.

A. 25°. Since AB is a straight line, ∠AOE = 180° − 95° = 85°. Since CD is a straight line, ∠AOC = 180° − ∠AOD = 180° − 120° = 60°. So ∠x = ∠COE = ∠AOE − ∠AOC = 85° − 60° = 25°.

Q: There are 100 coloured balls. 55 of the balls are purple and the rest are yellow. What is the ratio of the number of purple balls to the number of yellow balls? Express your answer in its simplest form.

C. 11 : 9. Yellow = 100 − 55 = 45. Purple : Yellow = 55 : 45 = 11 : 9 (divide both by 5).

Q: A container can hold 1/5 kg of flour. How many kilograms of flour can 9 such containers hold?

A. 1 4/5 kg. 9 × 1/5 = 9/5 = 1 4/5 kg.

Q: In the figure below, given that EA is the height of Triangle EBC, which is the base of Triangle EBC?

B. BC. A height of a triangle is perpendicular to the chosen base. EA is drawn perpendicular to line BC (extended to point A), so the corresponding base is BC.

Q: The ratio of the number of Economy Class seats to the number of Premium Class seats in an aeroplane is 5 : 3. There are 112 more Economy Class seats than Premium Class seats. How many Economy Class seats and Premium Class seats are there altogether in the aeroplane?

D. 448. Economy − Premium = 5u − 3u = 2u = 112, so 1u = 56. Total = 5u + 3u = 8u = 8 × 56 = 448.

Q1 MCQ 1 mark

Which of the following is three million, four hundred thousand and twenty in numerals?

Q2 MCQ 1 mark

Find the value of 48 000 ÷ 200

Q3 MCQ 1 mark

Which of the following is the same as 10 m 5 cm?

Q4 MCQ 1 mark

Express 0.08 as a percentage.

Q5 MCQ 1 mark

Express 6 1/7 as an improper fraction.

Q6 MCQ 1 mark

Find the volume of a cube of edge 4 cm.

Q7 MCQ 1 mark 🖼 Visual

Line AB and CD are straight lines. ∠AOD = 120° and ∠BOE = 95°. Find ∠x.

Q8 MCQ 1 mark

There are 100 coloured balls. 55 of the balls are purple and the rest are yellow. What is the ratio of the number of purple balls to the number of yellow balls? Express your answer in its simplest form.

Q9 MCQ 1 mark

A container can hold 1/5 kg of flour. How many kilograms of flour can 9 such containers hold?

Q10 MCQ 1 mark 🖼 Visual

In the figure below, given that EA is the height of Triangle EBC, which is the base of Triangle EBC?

Q11 MCQ 2 marks

The ratio of the number of Economy Class seats to the number of Premium Class seats in an aeroplane is 5 : 3. There are 112 more Economy Class seats than Premium Class seats. How many Economy Class seats and Premium Class seats are there altogether in the aeroplane?

Q12 MCQ 2 marks

Julien had $300. He spent 30% of his money on a bag and 10% of his money on a pouch. How much money did he spend in all?

Q13 MCQ 2 marks 🖼 Visual

ABCD is a rectangle. Point E lies on line AB. AE is 4 cm. EB is 8 cm. Find the area of the shaded triangle.

Q14 MCQ 2 marks 🖼 Visual

Jerry wanted to build a wooden fence around his rectangular field as shown below. Each metre of fence cost $12. How much would it cost him to build a fence around his rectangular field?

Q15 MCQ 2 marks

Ahmad had 16 marbles and Devi had 24 marbles. After Ahmad gave some of his marbles to Devi, the ratio of the number of marbles Ahmad and Devi had was 1 : 3. How many marbles did Ahmad give Devi?

Q16 Open-ended 1 mark 🖼 Visual

The solid shown below is formed using some unit cubes. How many unit cubes are used to form the solid?

Q17 Open-ended 1 mark

Find the value of 16 × 4 − 5 + 10

Q18 Open-ended 1 mark

Express 6.06 ℓ in cubic centimetres.

Q19 Open-ended 1 mark

Express 3 1/20 as a decimal.

Q20 Open-ended 1 mark

Find the value of 7.6 × 80

Q21 Open-ended 2 marks

Find the value of 13 ÷ 7. Give your answer to 2 decimal places.

Q22 Open-ended 2 marks

What is the missing number in the blank? 14 : 21 = ____ : 9

Q23 Open-ended 2 marks

2/7 of a garden was planted with roses. 1/3 of the roses were white and the rest of the roses were red. What fraction of the garden was planted with red roses?

Q24 Open-ended 2 marks 🖼 Visual

The figure below is made up of 9 identical small squares and 1 big square. What percentage of the figure is shaded?

Q25 Open-ended 2 marks 🖼 Visual

The figure below shows a right-angled triangle. Find ∠x.

Q26 Open-ended 2 marks 🖼 Visual

Figure A is a right-angled triangle. What is the maximum number of Figure A that can be cut out from the rectangle as shown below?

Q27 Open-ended 2 marks 🖼 Visual

The table below shows the charges for a taxi ride. First 1 km: $3.10. Every additional 500 m or less: $0.30. Gary took a taxi from his office to his home. The distance from his office to his home is 2.1 km. How much did he pay for the taxi ride?

Q28 Open-ended 2 marks 🖼 Visual

In the figure below, ∠k = 42°. ∠m is thrice that of ∠k. Find ∠j.

Q29 Open-ended 2 marks

Meng En spent $120 of his savings on a watch and 1/3 of his remaining money on a book. He had 1/2 of his savings left. How much was his savings at first?

Q30 Structured 2 marks 🖼 Visual

This year, the ratio of John's age to Mary's age is 3 : 5. Mary is 6 years older than John. Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) to indicate your answer. (a) In 3 years' time, Mary will be 9 years older than John. (b) Next year, the total age of John and Mary is 26 years old.

Q31 Open-ended 2 marks

Suranti had $90 000 in her bank account. The bank paid 3.5% interest at the end of the year. She did not withdraw any of her savings for the year. How much money did she have at the end of the year?

Q32 Open-ended 2 marks

Mrs Lim bought 5 1/5 kg of meat. She used some meat to make a meat pie and had 3 1/2 kg of meat left. How much meat did she use to make the meat pie?

Q33 Open-ended 2 marks 🖼 Visual

A rectangular piece of paper was folded along line ZW as shown below. ∠WZY is 73°. Find ∠b.

Q34 Open-ended 2 marks 🖼 Visual

The figure below shows 8 identical rectangles arranged differently in 2 stacks. Find the breadth of a rectangle.

Q35 Structured 2 marks 🖼 Visual

The following solid is made up of 8 cubes. Draw the top view and the front view of the solid.

Q36 Open-ended 3 marks

Florence had 80 more stamps than Mandy. After Florence gave 95 stamps to Mandy, Mandy had twice as many stamps as Florence. How many stamps did Florence have at first?

Q37 Open-ended 3 marks

A group of 3 boys and 8 girls went to a party. Each boy received the same number of candies and each girl was given 2 more candies than each boy. The group received a total of 82 candies. How many candies did each boy receive?

Q38 Open-ended 3 marks 🖼 Visual

The figure ABCD shown below is made up of an equilateral triangle ABD and an isosceles triangle BCD. ∠ABC = 148°. Find ∠BCD.

Q39 Open-ended 3 marks

Alan and Ben had $2145 in total. After Alan spent 6/7 of his money and Ben spent 1/5 of his money, they had an equal amount of money left. How much money did each of them have left?

Q40 Open-ended 3 marks

7 identical pairs of shorts cost the same as 11 identical T-shirts. Each pair of shorts cost $3.80 more than each T-shirt. What was the cost of a pair of shorts?

Q41 Structured 4 marks 🖼 Visual

X and Y are two rectangular containers. Container X is filled with water as shown in the diagram below. Container Y is empty. All the water from Container X is poured into Container Y, without spilling. In the end, Container Y is 5/6-filled with water. (a) What is the volume of water in Container X? (b) What is the capacity of Container Y?

Q42 Open-ended 4 marks 🖼 Visual

The ratio of the number of small prizes to medium prizes to large prizes bought for a lucky draw was 8 : 3 : 1. The table below shows the cost of the different prizes. (Small prize $2, Medium prize $5, Large prize $10.) A total of $1066 was spent on buying the prizes. How many medium prizes were there in the lucky draw?

Q43 Structured 4 marks 🖼 Visual

The line graph shows the number of bottles of water sealed over 10 minutes. (a) How many bottles of water were sealed in 1 minute? (b) At this rate, how many minutes would it take to seal 140 bottles of water?

Q44 Structured 4 marks

Kelly and Laura had savings of $150. Laura and Joseph had savings of $180. Joseph had 3 times as much savings as Kelly. (a) How much savings did Kelly have? (b) Laura and Kelly continued to save on top of what they already had. They did not spend their money. Both of them started saving from the same day. Laura saved $5 a day and Kelly saved $9 a day. How many days would it take for their savings to be the same?

Q45 Structured 5 marks

A baker baked some muffins in the morning. He sold 1/4 of his muffins in the morning. He sold 4/7 of his remaining muffins in the afternoon and the rest of his muffins in the evening. He sold each muffin at $2 and he collected $144 from the evening sales of his muffins. (a) How many muffins did he sell in the evening? (b) How many muffins did he bake?

Q46 Structured 5 marks

An egg seller had 2070 eggs. 20% of the eggs broke during delivery. He threw the broken eggs away and packed the rest of the eggs in cartons. Each carton contained either 6 or 12 eggs. He packed 181 cartons of eggs. (a) How many eggs were packed in cartons? (b) How many cartons of eggs contained 6 eggs?

Q47 Structured 4 marks 🖼 Visual

The first four figures of a pattern are shown below. The table below shows the number of triangles and circles used for each figure. (a) Complete the table for Figure 5. (b) Find the total number of triangles and circles for Figure 15.

P5 Mathematics SA2 2021 — Catholic High

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