P4 Mathematics SA2 2020 — Ai Tong | Singapore Past Year Paper

Q: In the number 78 650, which digit is in the thousands place?

D. 8. In 78 650, reading place values: 7 = ten thousands, 8 = thousands, 6 = hundreds, 5 = tens, 0 = ones. The digit in the thousands place is 8.

Q: Complete the following number pattern. 9 , 13 , 17 , ____ , ____ , 29

D. 21, 25. The pattern increases by 4 each time: 9, 13, 17, 21, 25, 29. So the missing numbers are 21 and 25.

Q: Which of the following numbers when rounded to the nearest ten becomes 46 500?

B. 46 496. Rounding to the nearest 10 requires the result to be 46 500. 46 496 → 46 500 (ones digit 6 ≥ 5 rounds up). 46 444 → 46 440, 46 506 → 46 510, 46 554 → 46 550.

Q: 48 is not a multiple of ____.

A. 7. 48 ÷ 6 = 8, 48 ÷ 3 = 16, 48 ÷ 4 = 12 (all whole numbers). 48 ÷ 7 = 6 remainder 6, so 48 is not a multiple of 7.

Q: What fraction of the shapes in the box are stars?

B. 3/8. The box contains 8 shapes in total: 5 smiley faces and 3 stars. The fraction of stars is 3/8.

Q: Which of the following mixed numbers is represented by the letter A in the number line shown?

B. 1 3/5. The interval from 0 to 1 (and 1 to 2) is divided into 5 equal parts. The arrow labelled A points to the 3rd tick mark after 1, so A = 1 + 3/5 = 1 3/5.

Q: Which of the following is the same as 2 tens and 6 hundredths?

D. 20.06. 2 tens = 20 and 6 hundredths = 0.06. Adding them gives 20 + 0.06 = 20.06.

Q: Which of the following has the smallest value?

D. 4.003. Comparing values: 40.3 > 4.3 > 4.03 > 4.003. The smallest is 4.003.

Q: Which of the following letters does not have a line of symmetry?

C. S. E has a horizontal line of symmetry; A and T each have a vertical line of symmetry; S has rotational symmetry but no line of symmetry.

Q: A piece of wire is 27.6 cm long. The whole wire is bent to form a rectangle such that the length is twice the breadth. What is the breadth of the rectangle?

C. 4.6 cm. Perimeter = 2(length + breadth). Let breadth = b, then length = 2b. So 2(2b + b) = 27.6 → 6b = 27.6 → b = 4.6 cm.

Q1 MCQ 2 marks

In the number 78 650, which digit is in the thousands place?

Q2 MCQ 2 marks

Complete the following number pattern. 9 , 13 , 17 , ____ , ____ , 29

Q3 MCQ 2 marks

Which of the following numbers when rounded to the nearest ten becomes 46 500?

Q4 MCQ 2 marks

48 is not a multiple of ____.

Q5 MCQ 2 marks 🖼 Visual

What fraction of the shapes in the box are stars?

Q6 MCQ 2 marks 🖼 Visual

Which of the following mixed numbers is represented by the letter A in the number line shown?

Q7 MCQ 2 marks

Which of the following is the same as 2 tens and 6 hundredths?

Q8 MCQ 2 marks

Which of the following has the smallest value?

Q9 MCQ 2 marks 🖼 Visual

Which of the following letters does not have a line of symmetry?

Q10 MCQ 2 marks

A piece of wire is 27.6 cm long. The whole wire is bent to form a rectangle such that the length is twice the breadth. What is the breadth of the rectangle?

Q11 MCQ 2 marks 🖼 Visual

Allan was facing west. He made a 270° anticlockwise turn. Which direction was he facing after the turn?

Q12 MCQ 2 marks

Angie's watch showed 1.15 p.m. when her ballet class ended. The ballet class lasted for 2 h 25 min. What time did her ballet class start?

Q13 MCQ 2 marks 🖼 Visual

The mass of a bottle of cooking oil is as shown below. What is the mass of the bottle of cooking oil?

Q14 MCQ 2 marks 🖼 Visual

The table below shows the prices of food items at a fast food restaurant. Helen bought 1 large pizza and 2 small drinks. How much did she pay altogether?

Q15 MCQ 2 marks

Lenny sold 3/7 of his cupcakes and had 84 cupcakes left. How many cupcakes did he sell?

Q16 Open-ended 2 marks

Write forty thousand and twenty-five in figures.

Q17 Open-ended 2 marks

Arrange the following numbers from the smallest to the greatest. 6506 , 6065 , 6650

Q18 Open-ended 2 marks

Some factors of 32 are 1, 2, 4 and 32. What are the other two factors of 32?

Q19 Open-ended 2 marks

0.3 = 3 / [?] What is the missing number in the box?

Q20 Open-ended 2 marks

Round 29.54 to the nearest whole number.

Q21 Open-ended 2 marks 🖼 Visual

In the figure, one of the lines is perpendicular to FD. Which line is perpendicular to FD?

Q22 Open-ended 2 marks 🖼 Visual

Measure and write down the size of ∠y.

Q23 Open-ended 2 marks

Which two of the fractions below are greater than 1/2? 2/5 , 4/7 , 5/8 , 6/12

Q24 Open-ended 2 marks

What is the value of 5/6 + 7/12? Express your answer as a mixed number.

Q25 Open-ended 2 marks

What is the first common multiple of 4 and 10?

Q26 Open-ended 2 marks 🖼 Visual

In the square grid below, Tim started at point R and walked 2 steps to the south, 2 steps to the west and then 4 steps to the north. Which point did Tim end up at?

Q27 Open-ended 2 marks 🖼 Visual

How much money did Richard save from Monday to Wednesday?

Q28 Open-ended 2 marks 🖼 Visual

Richard saved twice as much money on Thursday than on Friday. How much did he save on Friday?

Q29 Open-ended 2 marks 🖼 Visual

In the figure below, ABCD is a rectangle. ∠DAE = ∠EAF. Find ∠DAE.

Q30 Open-ended 2 marks 🖼 Visual

The following table shows the television programme screened on Sunday morning. Jon watched the full duration of only 'Sesame Street' and 'Galaxy Detectives'. How much time did he spend watching the 2 programmes? Give your answer in hours and minutes.

Q31 Open-ended 2 marks 🖼 Visual

Apples are sold in bags of 3 for $1.40. What is the cost of 9 such apples?

Q32 Open-ended 2 marks 🖼 Visual

The figure below shows 9 identical shaded squares. Shade the smallest number of squares so that the line AB becomes a line of symmetry.

Q33 Open-ended 2 marks

Lisa bought some bowls and plates for $42.30. The total cost of a bowl and a plate was $5. Each bowl cost $2.70. She bought one more plate than bowl. How many bowls did she buy?

Q34 Open-ended 2 marks 🖼 Visual

The figure below is made up of a rectangle and two identical squares. Find the area of the shaded part.

Q35 Open-ended 2 marks

Alice baked three times as many cookies as Rachel. Rachel baked twice as many cookies as Zoe. Alice baked 330 cookies. How many cookies did Zoe bake?

Q36 Structured 3 marks

Janice bought a roll of ribbon. She cut 7 pieces of ribbon to tie some presents. Each piece was 2.25 m long. Then she had 6 m of the ribbon left. How long was the roll of ribbon? Round your answer to the nearest 1 decimal place in metres.

Q37 Structured 3 marks

Ben had 5.8 ℓ of orange juice. He drank 0.4 ℓ of it and poured the rest equally into 6 bottles. How much orange juice was there in each bottle?

Q38 Structured 4 marks

Alex had three times as many stamps as Lily at first. Then, Lily's mother gave her 720 more stamps. Now, Lily has three times as many stamps as Alex. (a) How many stamps did Lily have at first? (b) How many stamps did Alex and Lily have altogether in the end?

Q39 Structured 4 marks 🖼 Visual

PQRS is a rectangular piece of paper. It has a perimeter of 78 cm. It is folded at a corner as shown below. PT = TS and TU = 6 cm. (a) What is the breadth of the rectangle? (b) What is the length of the rectangle?

Q40 Structured 4 marks

Wendy read 3/8 of a book on Monday, 1/4 of the book on Tuesday and the rest on Wednesday. She read 20 more pages on Monday than on Tuesday. (a) What fraction of the book did she read on Wednesday? (b) How many pages are there in the book?

Q41 Structured 4 marks 🖼 Visual

The graph below shows the mass of recycled paper collected by Karen from March to June. (a) Karen received $3 for every kilogram of recycled paper collected. How much money did Karen receive in April? (b) Karen collected a total of 600 kg of recycled paper from May to July. What was the mass of recycled paper she collected in July?

Q42 Structured 4 marks 🖼 Visual

ABCD is a rectangle. EF is perpendicular to DC. Find ∠HFG.

Q43 Structured 4 marks

2412 cards were shared equally among 9 boys. However, 3 of the boys did not like the cards and gave them to the other boys. These cards were shared equally among the rest of the boys. How many more cards did each of the remaining boys receive?

P4 Mathematics SA2 2020 — Ai Tong

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