P5 Mathematics SA2 2021 — Methodist Girls | Singapore Past Year Paper

Q: There were 314 089 spectators at a tennis match last year. Express this number to the nearest thousand.

C. 314 000. The digit in the hundreds place is 0, which is less than 5, so we round down. 314 089 rounded to the nearest thousand is 314 000.

Q: Express 1 2/5 as a decimal.

B. 1.4. 2/5 = 4/10 = 0.4, so 1 2/5 = 1 + 0.4 = 1.4.

Q: What is the value of 2/7 × 3/7?

A. 6/49. Multiply numerators and denominators: (2 × 3) / (7 × 7) = 6/49.

Q: What is the ratio of the number of shaded 1-cm squares to the total number of 1-cm squares?

B. 1 : 3. The grid has 3 rows × 6 columns = 18 squares total. Six of the 1-cm squares are shaded. The ratio is 6 : 18 = 1 : 3.

Q: In the figure below, PQ is the base of the triangle PQR and ____ is its height.

B. SR. The height of a triangle is the perpendicular distance from a vertex to the line containing the opposite base. SR is drawn perpendicular to the extension of PQ from vertex R, so SR is the height when PQ is taken as the base.

Q: The solid below is built using 1-cm cubes. What is the volume of the solid in cubic centimetres?

D. 21 cm³. Counting the 1-cm cubes in the L-shaped stepped solid gives a total of 21 cubes. Each cube has a volume of 1 cm³, so the total volume is 21 cm³.

Q: What is the value of 0.14 × 50?

B. 7. 0.14 × 50 = 0.14 × 100 ÷ 2 = 14 ÷ 2 = 7.

Q: Which of the following is the same as 8050 mℓ?

B. 8 ℓ 50 mℓ. 1 ℓ = 1000 mℓ. 8050 mℓ = 8000 mℓ + 50 mℓ = 8 ℓ 50 mℓ.

Q: The figure below is not drawn to scale. Find ∠x.

B. 205°. Angles at a point sum to 360°. The marked angles are 90° (right-angle marker) and 65°, so ∠x = 360° − 90° − 65° = 205°.

Q: Find the value of 32 ÷ (8 − 4) × 2 + 5.

C. 21. Apply order of operations: 32 ÷ (8 − 4) × 2 + 5 = 32 ÷ 4 × 2 + 5 = 8 × 2 + 5 = 16 + 5 = 21.

Q1 MCQ 1 mark

There were 314 089 spectators at a tennis match last year. Express this number to the nearest thousand.

Q2 MCQ 1 mark

Express 1 2/5 as a decimal.

Q3 MCQ 1 mark

What is the value of 2/7 × 3/7?

Q4 MCQ 1 mark

What percentage of 24 is 12?

Q5 MCQ 1 mark 🖼 Visual

What is the ratio of the number of shaded 1-cm squares to the total number of 1-cm squares?

Q6 MCQ 1 mark 🖼 Visual

In the figure below, PQ is the base of the triangle PQR and ____ is its height.

Q7 MCQ 1 mark 🖼 Visual

The solid below is built using 1-cm cubes. What is the volume of the solid in cubic centimetres?

Q8 MCQ 1 mark

What is the value of 0.14 × 50?

Q9 MCQ 1 mark

Which of the following is the same as 8050 mℓ?

Q10 MCQ 1 mark 🖼 Visual

The figure below is not drawn to scale. Find ∠x.

Q11 MCQ 2 marks

Find the value of 32 ÷ (8 − 4) × 2 + 5.

Q12 MCQ 2 marks 🖼 Visual

Lisa wanted to buy a handbag that cost $40. What would be the amount she needs to pay for the handbag including 7% GST?

Q13 MCQ 2 marks 🖼 Visual

In the figure below, AOD and FOC are straight lines. Find ∠x.

Q14 MCQ 2 marks 🖼 Visual

In the figure below, PQRS is a rectangle. TU and PW are straight lines. Which of the following statements are false?

Q15 MCQ 2 marks 🖼 Visual

Mr Tan has a fixed salary every month. Every month, he spends some amount from his salary and saves the rest. The graph shows the amount of money he saves each month. In which month did he spend the most?

Q16 Open-ended 1 mark

Write 4 500 809 in words.

Q17 Open-ended 1 mark

Find the value of 2/3 + 4/7. Give your answer as a mixed number in the simplest form.

Q18 Open-ended 1 mark

Jimmy has 200 marbles. 40 of the marbles are red. What percentage of the marbles are red?

Q19 Open-ended 1 mark 🖼 Visual

In the figure below, AOB is a straight line. Find ∠DOB.

Q20 Open-ended 1 mark

Express 1060 metres in kilometres.

Q21 Structured 2 marks

There were 450 spectators at a soccer match. 3/5 of them were adults and the rest were children. How many children were at the match?

Q22 Structured 2 marks 🖼 Visual

Make the greatest sum by placing the following 5 digits in each of the boxes below. All digits must be used once only. 4 6 7 5 8

Q23 Structured 2 marks

Jane has 90 stickers and Renee has 150 stickers. What is the ratio of the number of stickers Jane has to the number of stickers Renee has? Express the ratio in its simplest form.

Q24 Structured 2 marks 🖼 Visual

A roll of ribbon is made up of white, grey and black segments. Each segment is 1 cm long. The segments follow a repeated colour pattern as shown below. A piece of ribbon 45 cm long is cut from the start of the roll. In that piece, how many grey segments are there?

Q25 Structured 2 marks

A printer prints 80 pages in 4 minutes. If two identical printers start printing at the same time, how many minutes will it take to print a total of 480 pages?

Q26 Structured 2 marks 🖼 Visual

Find the area of the shaded triangle.

Q27 Structured 2 marks 🖼 Visual

Find the volume of the cuboid with a square base.

Q28 Structured 2 marks 🖼 Visual

A rectangular tank measuring 20 cm by 10 cm by 12 cm contained 1.2 ℓ of water at first. Some water was poured out from the tank until it was 1/3 full. How much water was poured out of the tank?

Q29 Structured 2 marks 🖼 Visual

Sam folded a rectangular piece of paper as shown below. Find ∠a.

Q30 Structured 2 marks 🖼 Visual

The line graph below shows the amount of food thrown away at a café from January to May. What was the average amount of food thrown away each month?

Q31 Structured 2 marks

(Paper 2 Question 1) Each box of apples contained 25 apples. Adam sold each apple for $0.70. How much money did he collect from the sale of 8 such boxes?

Q32 Structured 2 marks

(Paper 2 Question 2) Find the values of A and B. [A] : 4 : 12 = 6 : [B] : 9

Q33 Structured 2 marks 🖼 Visual

(Paper 2 Question 3) ABCD is a square. BDE is a straight line. ∠ADF = 28°. Find ∠FDE.

Q34 Structured 2 marks

(Paper 2 Question 4) Esther packed 2855 sweets equally into 25 bags and had some sweets left. How many sweets had she left?

Q35 Structured 2 marks 🖼 Visual

(Paper 2 Question 5) In a basketball game, the average score of 10 players in a team was 13.2 points. 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. (a) Every player scored at least 13 points. (b) After including two more players who scored 10 and 12 points respectively, the average score of each player in the team would decrease.

Q36 Structured 3 marks

(Paper 2 Question 6) Wesley and Xavier have 217 marbles altogether. Xavier and Yixian have 105 marbles altogether. Wesley has 3 times as many marbles as Yixian. How many marbles does Xavier have?

Q37 Structured 3 marks

(Paper 2 Question 7) Joan spent $168 on a rice cooker and 3/8 of the remainder of her money on an oven. She then had $1015 left. How much money did she have at first?

Q38 Structured 3 marks 🖼 Visual

(Paper 2 Question 8) There was a promotion on movie tickets at Cinema A as shown below. Mr Tan brought his wife and 2 children, aged 10 and 15 years old, to watch a movie at Cinema A together. How much did he pay for the tickets?

Q39 Structured 3 marks

(Paper 2 Question 9) Suresh is 12 years old now. The ratio of his age to his brother's age now is 2 : 3. In how many years would the ratio of his age to his brother's age be 5 : 7?

Q40 Structured 3 marks

(Paper 2 Question 10) A rectangular tank measuring 20 cm by 42 cm by 16 cm was 2/3 filled with water. There was a leak at the bottom of the tank and water seeped out at the rate of 8 mℓ per second. How many minutes would it take to empty the tank completely? Leave your answer correct to 1 decimal place.

Q41 Structured 4 marks

(Paper 2 Question 11) Thiru played 5 games of bowling. His scores for the first 4 games were 120, 105, 176 and 169 points respectively. (a) Find his average score for the first 4 games. (b) After his fifth game, his average score increased by 3.1 points. Find his score for his fifth game.

Q42 Structured 4 marks 🖼 Visual

(Paper 2 Question 12) The table below shows the parking fees at a car park. (a) Tom parked his car at the carpark at noon time for 1 hour and 19 minutes. How much did he have to pay? (b) Mindy parked her car at the car park from 5.10 p.m. on Monday to 9 a.m. on Tuesday. Find the amount of parking fees that she had to pay.

Q43 Structured 4 marks

(Paper 2 Question 13) June spent 1/9 of her money to buy 5 m of ribbon. She then spent 3/4 of her remaining money to buy more ribbon to complete her project. Each meter of ribbon cost $0.90. How much did she pay for all the ribbon?

Q44 Structured 4 marks 🖼 Visual

(Paper 2 Question 14) In the figure below, ABJM is a square and CEGH is a rectangle. AB = 12 cm, AN = 7 cm and CD = 3 cm. DE = EF = FG = ML = LK = KJ. Find the area of the shaded part.

Q45 Structured 4 marks

(Paper 2 Question 15) John and Keith had the same number of sweets. Each of them packed his own sweets into packets. John packed 5 sweets in each packet and had 2 sweets left. Keith packed 8 sweets in each packet and was short of 4 sweets. (a) How many sweets did each of them have if they used the same number of packets? (b) What was the smallest possible number of sweets each of them had if they used different number of packets?

Q46 Structured 5 marks

(Paper 2 Question 16) Dan had some marbles. He placed 1/6 of them in Box A and 1/4 of the remainder in Box B. The rest were placed in Box C. Dan moved 21 marbles from Box C to Box B and some marbles from Box C to Box A. In the end, each box contained the same number of marbles. (a) What fraction of the marbles was in Box C at first? Give your answer in the simplest form. (b) How many marbles were there altogether?

Q47 Structured 5 marks 🖼 Visual

(Paper 2 Question 17) The total mass of 7 identical cubes and 4 identical balls in a basket was 2554 g. After Nazim removed 2 cubes and 2 balls from the basket, the total mass became 1994 g. Each ball weighs 24 g more than a cube. Find the mass of the basket in kilograms.

P5 Mathematics SA2 2021 — Methodist Girls

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