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

Q: Express 40 ℓ 30 ml in litres.

B. 40.03 ℓ. 30 ml = 30/1000 ℓ = 0.03 ℓ. So 40 ℓ 30 ml = 40.03 ℓ.

Q: Which digit in 7531.640 is in the thousandths place?

A. 0. In 7531.640, the digits after the decimal point are: 6 (tenths), 4 (hundredths), 0 (thousandths). So the thousandths digit is 0.

Q: A machine takes 60 minutes to print 4800 sheets of paper. How many sheets of paper does it print in 40 minutes?

C. 3200. Rate = 4800 ÷ 60 = 80 sheets per minute. In 40 minutes: 80 × 40 = 3200 sheets.

Q: Mrs. Chun had 8 kg of rice. She used 5/6 of it to make sushi. How much rice had she left?

B. 1 1/3 kg. Rice left = 1 - 5/6 = 1/6 of total. 1/6 × 8 = 8/6 = 4/3 = 1 1/3 kg.

Q: Find ∠y in the figure shown.

B. 61°. Angles around a point sum to 360°. y + 125° + 127° + 47° = 360°. y = 360° - 299° = 61°.

Q: The table shows the number of pupils who volunteered for a donation drive over 5 days. The average number of pupils who volunteered for the donation drive from Monday to Friday was 8. How many pupils volunteered on Wednesday?

C. 16. Total volunteers = 8 × 5 = 40. Known total = 14 + 0 + 6 + 4 = 24. Wednesday = 40 - 24 = 16.

Q: A solid cuboid has a square base with a height of 3 cm. The area of the shaded face is 18 cm². What is its volume?

B. 108 cm³. Shaded face is a 3 cm × side rectangle with area 18, so side of square base = 18 ÷ 3 = 6 cm. Volume = 6 × 6 × 3 = 108 cm³.

Q: Express 40 g as a percentage of 2 kg.

B. 2%. 2 kg = 2000 g. (40/2000) × 100% = 2%.

Q: Siti baked 98 cupcakes at first. She gave 56 cupcakes to her friends. Find the ratio of the number of cupcakes she gave to her friends to the number of cupcakes left.

B. 4 : 3. Cupcakes left = 98 - 56 = 42. Ratio given : left = 56 : 42 = 4 : 3.

Q: What is the missing number? 5.24 × 30 = ______ ÷ 10

D. 1572. 5.24 × 30 = 157.2. So ______ ÷ 10 = 157.2, meaning ______ = 1572.

Q1 MCQ 1 mark

Express 40 ℓ 30 ml in litres.

Q1 Open-ended 2 marks 🖼 Visual

The table shows the charges for bicycle rental. Sean rented a bicycle from 8.30 a.m. to 11.45 a.m. How much did he pay for the rental of the bicycle?

Q2 Open-ended 2 marks

Mrs Bong bought a vacuum cleaner. The cost of the vacuum cleaner before GST was $880. How much did she pay for the vacuum cleaner including the 7% GST?

Q2 MCQ 1 mark

Which digit in 7531.640 is in the thousandths place?

Q3 Open-ended 2 marks

On Monday, Ronnie started saving some money in his piggy bank. Every day he saved $0.60 more than the previous day. He saved $4.60 on Friday. How much did Ronnie save on Monday?

Q3 MCQ 1 mark

Express 7/8 as a decimal.

Q4 MCQ 1 mark

A machine takes 60 minutes to print 4800 sheets of paper. How many sheets of paper does it print in 40 minutes?

Q4 Open-ended 2 marks

At a food donation centre, Mr Gomez shared 20 kg of rice equally among 9 people in a day. How many kilograms of rice did each person receive in a week? Leave your answer as a mixed number in the simplest form.

Q5 MCQ 1 mark

Mrs. Chun had 8 kg of rice. She used 5/6 of it to make sushi. How much rice had she left?

Q5 Open-ended 2 marks 🖼 Visual

ABC is an equilateral triangle and BCD is an isosceles triangle. DB = DC. Find ∠BDC.

Q6 Structured 3 marks

On a Sunday at the Science Centre, there were three times as many children as adults. An adult ticket cost $10 and a child ticket cost $6. A total amount of $11 060 was collected from the sale of the tickets on that day. (a) What was the total cost of one adult and three children tickets? (b) How many people were at the Science Centre on Sunday?

Q6 MCQ 1 mark 🖼 Visual

Find ∠y in the figure shown.

Q7 Structured 3 marks

The ratio of the length of one side of Square A to the length of one side of Square B is 2 : 5. The perimeter of Square B is 60 cm. (a) What is the area of Square B? (b) Find the ratio of the area of Square A to the area of Square B. Express the ratio in its simplest form.

Q7 MCQ 1 mark 🖼 Visual

The table shows the number of pupils who volunteered for a donation drive over 5 days. The average number of pupils who volunteered for the donation drive from Monday to Friday was 8. How many pupils volunteered on Wednesday?

Q8 Open-ended 3 marks

Aliah bought a roll of ribbon and cut it into 3 pieces of different length. The length of the first piece was 3/10 of the length of the ribbon at first. The length of the second piece was 2/7 of the remaining length of the ribbon. The length of the third piece was 445 cm long. What was the length of the first piece of cut ribbon?

Q8 MCQ 1 mark 🖼 Visual

A solid cuboid has a square base with a height of 3 cm. The area of the shaded face is 18 cm². What is its volume?

Q9 MCQ 1 mark

Express 40 g as a percentage of 2 kg.

Q9 Structured 3 marks 🖼 Visual

Cubical Tank P has a length of 36 cm and is 7/9 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full. (a) What is the volume of water in Tank P at first? Give your answer in cm³. (b) What is the volume of water left in Tank P? Give your answer in litres.

Q10 MCQ 1 mark

Siti baked 98 cupcakes at first. She gave 56 cupcakes to her friends. Find the ratio of the number of cupcakes she gave to her friends to the number of cupcakes left.

Q10 Open-ended 3 marks

Mr Min and Mr Yong received a total of $1026. After Mr Min spent 6/7 of his money and Mr Yong spent 3/4 of his money, Mr Yong had 3 times as much money as Mr Min. How much money did Mr Yong have at first?

Q11 Structured 4 marks 🖼 Visual

The bar graph shows the number of hampers sold by a gift shop from January to May. The bar for the month of May has not been drawn. (a) The number of hampers sold in May was 35 less than the average number of hampers sold per month from January to April. How many hampers was sold in May? (b) The gift shop set a goal to sell an average of 220 hampers per month from January to June. What was the minimum number of hampers that must be sold in June in order to reach the goal?

Q11 MCQ 2 marks

What is the missing number? 5.24 × 30 = ______ ÷ 10

Q12 Structured 4 marks 🖼 Visual

In the figure, AB is a straight line. CAF is an isosceles triangle, BCF is a triangle and CDGB is a rectangle. ∠ECD = 22° and ∠AFC = 82°. Find the value of (a) ∠FCB (b) ∠FBC

Q12 MCQ 2 marks 🖼 Visual

In the figure, ABC is a triangle. Find the area of triangle ABC.

Q13 Structured 4 marks

A florist sold carnations and roses in her shop on Mother's Day. 60% of the flowers she sold on that day were carnations and she sold 480 roses. (a) What was the total number of flowers sold? (b) 80% of the flowers in the shop were sold on that day. 85% of the flowers left were roses. How many roses were left?

Q13 MCQ 2 marks 🖼 Visual

In the figure, MNP is an isosceles triangle. NPL is a right-angled triangle. LN is a straight line. MN = MP. Find the value of ∠NLP.

Q14 MCQ 2 marks

A rectangular piece of paper is 2 m long and 7/8 m wide. What is the area of the piece of paper?

Q14 Structured 4 marks 🖼 Visual

The diagrams below show a pattern made up of squares. (a) How many squares are there in Pattern 5? (b) How many sides are there in Pattern 5? (c) What is the Pattern Number for 246 sides?

Q15 MCQ 2 marks

Linda earns $20 when she sells one book. For every 4 books she sells, she earns an extra $20. How many books must she sell to earn $600?

Q15 Structured 5 marks

There were a total of 2350 blue and red beads in a box. The ratio of the number of blue beads to the number of red beads was 3 : 2. After Samy added some green beads into the box, the ratio of the number of blue beads to the number of green beads became 2 : 5. (a) How many blue beads were there in the box? (b) What was the total number of beads in the box in the end?

Q16 Structured 5 marks 🖼 Visual

In the figure, ABC is a right-angled triangle and CDEF is a square. ED is three times as long as AF. (a) Find the area of triangle ABC. (b) Find the area of the shaded part.

Q16 Open-ended 1 mark

Find the value of (12 + 36) ÷ 8 × 6.

Q17 Open-ended 1 mark

A ball of string with a length of 26 m was cut into 4 equal pieces. What was the length of each piece? Leave your answer as a mixed number in the simplest form.

Q17 Structured 4 marks

Kelly bought a piece of fabric. She used 9.2 m to sew 4 aprons and 5 kitchen towels. She wanted to sew another apron but was short of 0.3 m of fabric. In the end, she sewed another kitchen towel and had 0.38 m of fabric left. (a) What was the difference in the length of the fabric needed to sew an apron and a towel? Give your answer in metres. (b) How many metres of fabric did Kelly buy?

Q18 Open-ended 1 mark

Express 8906 cm in metres.

Q19 Open-ended 1 mark

Ailee had 5/6 ℓ of milk. She used 3/4 ℓ of it to make a milkshake. How many litres of milk was left? Leave your answer in the simplest form.

Q20 Open-ended 1 mark 🖼 Visual

In the figure, AB and CD are straight lines. Find the value of ∠AOE.

Q21 Structured 2 marks

Find the value of (a) 5.7 ÷ 100 (b) 0.23 × 3000

Q22 Structured 2 marks

What are the missing numbers in the blanks? (a) 7 : 12 = ____ : 36 (b) ____ : 42 = 12 : 28

Q23 Open-ended 2 marks

A box of erasers were distributed equally to 54 pupils. 9 of them gave all their erasers away to the remaining pupils. These remaining pupils received 2 more erasers each. How many erasers were distributed to each pupil at first?

Q24 Open-ended 2 marks 🖼 Visual

In the figure, ABCD and PRSD are two identical rectangles. Find the shaded area of the figure.

Q25 Open-ended 2 marks

Jennie had $36. She spent 5/9 of her money on a book and 1/12 of it on a sandwich. How much money did she have left?

Q26 Open-ended 2 marks

When a container is 1/6 filled with sugar, it has a mass of 250 g. When the container is 1/3 filled with sugar, it has a mass of 340 g. What is the mass of the empty container?

Q27 Open-ended 2 marks

160 pupils signed up for a day camp. 25 of them did not turn up for the camp. 60% of the pupils who were present were boys. How many girls were there at the camp?

Q28 Open-ended 2 marks

The ratio of Raj's age to Lisa's age now is 9 : 5. Lisa is 24 years younger than Raj. How many years ago was Raj four times as old as Lisa?

Q29 Open-ended 2 marks

The volume of an empty tank is 96 ℓ. When a tap is turned on, it takes 20 minutes to fill the tank completely. What is the volume of water in the tank after the tap is turned on for 7 minutes?

Q30 Structured 2 marks 🖼 Visual

The figure shows a rectangular piece of paper folded at its two corners. Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a (✓) to indicate your answer. (a) ∠a is equal to ∠b. (b) ∠c is equal to 64°. (c) The smaller triangle, Y, is an equilateral triangle.

P5 Mathematics SA2 2021 — Raffles Girls

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