P3 Mathematics SA2 2023 — Pei Chun | Singapore Past Year Paper

Q: What is the value of the digit 7 in 9075?

B. 70. In 9075, the digit 7 is in the tens place, so its value is 7 × 10 = 70.

Q: Look at the number pattern below and find the missing number in the box. 4309, 4109, 3909, ?, 3509, 3309

C. 3709. The pattern decreases by 200 each time: 4309 → 4109 → 3909 → 3709 → 3509 → 3309. So the missing number is 3709.

Q: Arrange the following fractions in order. Begin with the greatest. 1/10, 3/5, 1/2

C. 3/5, 1/2, 1/10. Converting to tenths: 1/10 = 1/10, 3/5 = 6/10, 1/2 = 5/10. From greatest to smallest: 6/10, 5/10, 1/10 → 3/5, 1/2, 1/10.

Q: Tim had two beakers of water, Beaker A and Beaker B as shown in the diagram below. How much water was there in both beakers altogether?

D. 1000 ml. Beaker A shows about 700 ml and Beaker B shows about 300 ml on a 1 litre scale. Together, 700 ml + 300 ml = 1000 ml.

Q: Look at the figure below. Which of the following is a pair of parallel lines?

A. AB and DC. In the trapezium-like figure ABCD, AB (top) and DC (bottom) are the pair of parallel horizontal lines.

Q: The figures below are drawn on a 1-cm grid. Which 2 figures have the same area?

B. B and C. Counting the shaded square-centimetre units on the 1-cm grid, figures B and C contain the same number of shaded unit squares, giving them equal areas.

Q: Kelly arrived in school at 7.10 a.m. She took 35 minutes to travel from home to school. At what time did she leave her home?

B. 6.35 a.m.. Subtract 35 min from 7.10 a.m.: 7.10 a.m. − 35 min = 6.35 a.m.

Q: The difference between two numbers is 1718. The smaller number is 6147. What is the other number?

B. 7865. The other number = smaller number + difference = 6147 + 1718 = 7865.

Q: A sum of money was shared among 4 boys. Each boy received $200 and there was $38 left. What was the sum of money?

D. $838. Total = 4 × $200 + $38 = $800 + $38 = $838.

Q: Cindy needs 175 cm of cloth to make a blouse. She needs 25 cm more cloth to make a dress. How much cloth does Cindy need to make 2 such dresses?

D. 400 cm. Cloth for 1 dress = 175 + 25 = 200 cm. Cloth for 2 dresses = 200 × 2 = 400 cm.

Q1 MCQ 2 marks

What is the value of the digit 7 in 9075?

Q2 MCQ 2 marks 🖼 Visual

Look at the number pattern below and find the missing number in the box. 4309, 4109, 3909, ?, 3509, 3309

Q3 MCQ 2 marks

Arrange the following fractions in order. Begin with the greatest. 1/10, 3/5, 1/2

Q4 MCQ 2 marks 🖼 Visual

Tim had two beakers of water, Beaker A and Beaker B as shown in the diagram below. How much water was there in both beakers altogether?

Q5 MCQ 2 marks 🖼 Visual

Look at the figure below. Which of the following is a pair of parallel lines?

Q6 MCQ 2 marks 🖼 Visual

The figures below are drawn on a 1-cm grid. Which 2 figures have the same area?

Q7 MCQ 2 marks

Kelly arrived in school at 7.10 a.m. She took 35 minutes to travel from home to school. At what time did she leave her home?

Q8 MCQ 2 marks

The difference between two numbers is 1718. The smaller number is 6147. What is the other number?

Q9 MCQ 2 marks

A sum of money was shared among 4 boys. Each boy received $200 and there was $38 left. What was the sum of money?

Q10 MCQ 2 marks

Cindy needs 175 cm of cloth to make a blouse. She needs 25 cm more cloth to make a dress. How much cloth does Cindy need to make 2 such dresses?

Q11 Open-ended 1 mark

Write 7 thousands, 9 hundreds and 4 ones in numerals.

Q12 Open-ended 1 mark

Find the product of 369 and 8.

Q13 Open-ended 1 mark

Express 9/12 in its simplest form.

Q14 Open-ended 1 mark 🖼 Visual

What is the mass of the bottle of cooking oil?

Q15 Open-ended 1 mark 🖼 Visual

In the diagram below, how many of the marked angles are obtuse angles?

Q16 Open-ended 1 mark

Jessica's piano lesson started at 9.45 a.m. Her lesson lasted for 1 h 20 min. At what time did her lesson end?

Q17 Open-ended 1 mark 🖼 Visual

Draw a line parallel to line AB passing through Point C.

Q18 Open-ended 1 mark 🖼 Visual

Use all the following digits to form the greatest 4-digit odd number. Each digit can only be used once. Do not begin with the digit '0'. 8, 0, 9, 6

Q19 Open-ended 1 mark

Find the value of 1/3 + 2/6. Give your answer in the simplest form.

Q20 Open-ended 1 mark 🖼 Visual

The figure below is made up of 10 equal parts. How many more parts must be shaded so that 3/5 of the figure is shaded?

Q21 Open-ended 2 marks

Annie has 3 fifty-cent coins and 4 five-dollar notes. How much money does she have altogether?

Q22 Open-ended 2 marks 🖼 Visual

How much farther was the distance between Town B and Town C than that between Town A and Town B?

Q23 Open-ended 2 marks

A tennis racket cost $128. A pair of sports shoes cost $19.60 less than the tennis racket. How much did the pair of sports shoes cost?

Q24 Open-ended 2 marks

Mrs Wong used 135 g of flour to bake a cake. How much flour did Mrs Wong use to bake 5 such cakes?

Q25 Structured 2 marks 🖼 Visual

The figure shows the height of a boy. What is his height (a) in centimetres? (b) in metres and centimetres?

Q26 Open-ended 2 marks

Mandy packed 932 sweets into as many boxes of 9 as possible. How many sweets were left unpacked?

Q27 Open-ended 2 marks

Mr Suri sold 243 apples. Mr Ng sold 3 times as many apples as Mr Suri. How many apples did Mr Ng sell?

Q28 Open-ended 2 marks

A pail with a capacity of 2 ℓ contains 1400 ml of water. 3 full jugs of water are needed to fill the pail completely. What is the capacity of a jug?

Q29 Open-ended 2 marks

Ravi had 680 marbles at first. He gave away 8 marbles and packed the remaining marbles into packets of 4 marbles. How many packets of marbles did Ravi pack?

Q30 Open-ended 2 marks 🖼 Visual

The graph below shows the number of story books read by a group of pupils last week. How many pupils read more than 1 but fewer than 4 books last week?

Q31 Open-ended 2 marks

Janet gave 60 muffins to her classmates. 12 of her classmates took 1 muffin each. The rest of her classmates took 2 muffins each. How many of Janet's classmates took 2 muffins each?

Q32 Open-ended 2 marks 🖼 Visual

A group of people was asked to choose their favourite choice of drinks. The bar graph below shows their choices. How many more people like fruit juice than soft drinks?

Q33 Open-ended 2 marks

A van can carry up to 8 people. What is the smallest number of vans needed to carry 97 people?

Q34 Open-ended 2 marks

Mr Smith bought 6 oranges and 8 apples with some money. An orange cost twice as much as an apple. How many apples could Mr Smith buy with the same amount of money?

Q35 Structured 3 marks

A shirt cost $65.30. Mrs Lee bought a bag that cost $24.80 more than the shirt. (a) What was the cost of the bag? (b) Mrs Lee gave the cashier a $100 note to pay for the bag. What was the change she received?

Q36 Structured 3 marks

Mrs Tan started washing and polishing her car at 5.00 p.m. She took 40 min to wash her car and 1 h 25 min to polish her car. (a) At what time did Mrs Tan complete washing and polishing her car? (b) How much more time did Mrs Tan take to polish than wash her car?

Q37 Structured 4 marks

Jerry ran 1650 m. He ran 800 m more than Kenny. (a) What is the distance Kenny ran in metres? (b) What is the total distance ran by the two boys? Leave your answer in km and m.

Q38 Structured 4 marks 🖼 Visual

Janice placed 3 rectangular cards of the same size together to form a large rectangle as shown below. (a) What is the perimeter of the large rectangle? (b) What is the area of the large rectangle?

Q39 Structured 4 marks

3480 people were at a football match. 1905 of them were adults and the rest were children. There were 4 times as many boys as girls at the football match. (a) How many children were at the football match? (b) How many girls were at the football match?

Q40 Structured 4 marks

Mrs Ong bought a total of 50 notebooks and scissors for $154. She paid $5 for each notebook and $2 for each pair of scissors. (a) How many pairs of scissors did she buy? (b) How many notebooks did she buy?

P3 Mathematics SA2 2023 — Pei Chun

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