P4 Mathematics SA2 2023 — Pei Chun | Singapore Past Year Paper

Q: The value of the digit 7 in 67 089 is ____.

C. 7000. In 67 089, the digit 7 is in the thousands place, so its value is 7 × 1000 = 7000.

Q: 43 852 rounded to the nearest hundred is ____.

C. 43 900. The tens digit is 5, so round up. 43 852 → 43 900 when rounded to the nearest hundred.

Q: In which of the following numbers does the digit 4 stand for 4 hundredths?

B. 387.64. Hundredths is the second decimal place. In 387.64 the 4 is the second decimal digit (4 hundredths = 0.04).

Q: Express 53/1000 as a decimal.

C. 0.053. 53/1000 means 53 thousandths. Written as a decimal that is 0.053.

Q: Which one of the following has 1/6 of the figure shaded?

B. Figure 2. Figure 2 is divided into 6 equal parts with exactly 1 part shaded, giving 1/6 shaded.

Q: Which of the following is not in its simplest form?

A. 2/6. 2/6 can be simplified to 1/3 (both numerator and denominator share a factor of 2). The other fractions have numerators and denominators with no common factors greater than 1.

Q: What is the length of the rectangle given its perimeter?

C. 18 m. Perimeter = 2 × (length + width). 60 = 2 × (length + 12), so length + 12 = 30, length = 18 m.

Q: Which of the following figures has perpendicular lines?

D. Letter E. The letter E has horizontal lines meeting a vertical line at right angles (90°), making them perpendicular. The other letters (A, N, M) contain only slanted lines.

Q: Which of the following figures is symmetrical?

A. No-entry sign. The no-entry sign (a circle with a horizontal bar) is symmetrical — it can be folded along multiple axes to give matching halves. The other figures cannot be folded to give matching halves.

Q: Jane completed her job at 01 20. She worked for 4 h 30 min. At what time did she start her job?

D. 8.50 p.m.. 01 20 is 1:20 a.m. Subtracting 4 h 30 min: 1:20 a.m. − 4 h = 9:20 p.m. (previous day); 9:20 p.m. − 30 min = 8:50 p.m. So Jane started at 8.50 p.m.

Q1 MCQ 2 marks

The value of the digit 7 in 67 089 is ____.

Q2 MCQ 2 marks

43 852 rounded to the nearest hundred is ____.

Q3 MCQ 2 marks

In which of the following numbers does the digit 4 stand for 4 hundredths?

Q4 MCQ 2 marks

Express 53/1000 as a decimal.

Q5 MCQ 2 marks 🖼 Visual

Which one of the following has 1/6 of the figure shaded?

Q6 MCQ 2 marks

Which of the following is not in its simplest form?

Q7 MCQ 2 marks 🖼 Visual

What is the length of the rectangle given its perimeter?

Q8 MCQ 2 marks 🖼 Visual

Which of the following figures has perpendicular lines?

Q9 MCQ 2 marks 🖼 Visual

Which of the following figures is symmetrical?

Q10 MCQ 2 marks

Jane completed her job at 01 20. She worked for 4 h 30 min. At what time did she start her job?

Q11 MCQ 2 marks

Mr Ling sold 8 sofas and some carpets for $5928. The sofa cost $645 each. How much did the carpets cost?

Q12 MCQ 2 marks

Mandy and William had a total of 1712 stickers at first. After Mandy gave away 92 stickers, William had 5 times as many stickers as Mandy. How many stickers did Mandy have in the end?

Q13 MCQ 2 marks 🖼 Visual

ABCD is a square. ∠ADF = 56° and ∠EDC = 75°. Find ∠EDF.

Q14 MCQ 2 marks

Jerry bought 3 apples and 1 orange. The cost of 3 apples was $5.25. An apple cost $0.60 less than an orange. What was the cost of an orange?

Q15 MCQ 2 marks 🖼 Visual

The original height of a plant was recorded at the start of week 1. The bar graph shows the increase in the height of the plant at the end of each week. The height of the plant was 22 cm by the end of week 4. What was the height of the plant by the end of week 2?

Q16 Open-ended 2 marks

What number is 100 more than 9997?

Q17 Open-ended 2 marks

Two factors of 21 are 1 and 21. What are the other two factors of 21?

Q18 Open-ended 2 marks

Write 3 5/8 as an improper fraction.

Q19 Open-ended 2 marks

Find the value of 7/9 − 2/3.

Q20 Open-ended 2 marks

Round 78.55 to the nearest whole number.

Q21 Open-ended 2 marks

Arrange the following fractions from the smallest to the greatest. 5/6, 5/12, 11/12

Q22 Open-ended 2 marks

26.92 + 0.58 = ____.

Q23 Open-ended 2 marks

Find the value of 8.26 × 9.

Q24 Open-ended 2 marks 🖼 Visual

In the figure, ABCD is a rectangle. Find the value of ∠y.

Q25 Structured 4 marks 🖼 Visual

(a) Measure and write down the size of ∠m. (b) Draw ∠ABC = 83°. Line AB is given.

Q26 Structured 4 marks

(a) State the time 36 min before midnight using the 24-hour clock. (b) What is the duration from 10 35 to 13 08?

Q27 Open-ended 2 marks

The perimeter of a square is 36 m. What is the area of the square?

Q28 Structured 4 marks 🖼 Visual

Six landmarks on a map of a district are shown in the square grid below. (a) Which landmark is north-east of R and north of S? (b) Parvati is at one of the landmarks. She is facing U and needs to turn 45° clockwise to face P. Which landmark is Parvati at?

Q29 Open-ended 2 marks 🖼 Visual

Shade three more squares in the figure below so that CD is the line of symmetry.

Q30 Open-ended 2 marks

Rashid and Wen Long cycled a total distance of 8.34 km. Rashid cycled 3 times as far as Wen Long did. How far did Wen Long cycle? Give your answer correct to 2 decimal places.

Q31 Open-ended 2 marks

Siva had some money. She bought 7 books for $8.65 and had $7.45 left. How much money did Siva have at first?

Q32 Open-ended 2 marks

Mrs Chan had 5 ℓ of orange juice. Her daughter drank 3/5 ℓ of it. How much orange juice had Mrs Chan left?

Q33 Open-ended 2 marks 🖼 Visual

Some pupils joined a survey to indicate their favourite ice-cream flavour. The bar graph below shows the results of the survey. What was the total number of pupils who joined the survey?

Q34 Open-ended 2 marks

At first, Mei Hua had $48 less than Celeste. Mei Hua then gave $36 to Celeste. How much more money did Celeste have than Mei Hua in the end?

Q35 Open-ended 2 marks 🖼 Visual

The figure is made up of 10 identical squares. The area of each square is 49 cm². What is the perimeter of the figure?

Q36 Structured 3 marks 🖼 Visual

The table below shows the ticket prices to an amusement park during the weekdays and weekends. Adult: $14.50 per ticket (weekdays), $31 for 2 tickets (weekend). Child below 12 years old: $6.90 per ticket (weekdays), $8.90 per ticket (weekend). (a) Mr Omar took his child, Suresh, to the park on Monday. Suresh was 6 years old. How much did Mr Omar pay for their tickets? (b) On Saturday, Mr and Mrs Johnson took their 3 children to the park. Their eldest child was 11 years old. How much did Mr Johnson pay for their tickets?

Q37 Structured 3 marks 🖼 Visual

Shop Mobile had 80 mobile phones on Monday and started selling the mobile phones from Tuesday to Friday. The graph below shows the number of mobile phones left unsold at the end of each day. (a) How many mobile phones were sold on Tuesday? (b) By which day did Shop Mobile sell 7/10 of the mobile phones?

Q38 Structured 4 marks

At a school activity, one teacher was needed to guide at most 8 pupils in a group. A total of 125 girls and 386 boys participated in the activity. The last group had fewer than 8 pupils. (a) What was the least number of teachers needed to guide all the pupils? (b) How many pupils were there in the last group?

Q39 Structured 4 marks 🖼 Visual

The shaded figure (not drawn to scale) below is made up of rectangles. (a) Find the area of the shaded figure. (b) Find the perimeter of the shaded figure.

Q40 Structured 4 marks

There are 36 pupils in a class. There are 12 boys in the class. (a) What fraction of the class are girls? Express your answer in the simplest form. (b) 4/9 of the pupils in the class wear spectacles. How many pupils do not wear spectacles?

Q41 Structured 4 marks

An exercise book cost 4 times as much as a pencil. Paul paid $7.56 for 3 pencils and 1 exercise book. (a) What was the cost of 1 pencil? (b) What was the cost of 1 exercise book?

Q42 Structured 4 marks

Mrs Koh had 90 candies and 72 jellies. She packed all of them into as many bags as possible. Each bag contained an equal number of candies. The total number of candies and sweets in each bag was also the same. (a) How many bags of candies and jellies did Mrs Koh pack? (b) What was the total number of candies and jellies in each bag?

Q43 Structured 4 marks

Mike bought 5 pens and 2 erasers. Kelly bought 2 pens and 5 erasers. Mike paid $2.40 more than Kelly. An eraser cost $0.95. (a) How much more does a pen cost than an eraser? (b) What was the cost of a pen?

P4 Mathematics SA2 2023 — Pei Chun

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