P4 Mathematics SA2 2023 — Red Swastika | Singapore Past Year Paper

Q: The value of the digit 4 in 54 397 is ____.

C. 4000. In 54 397, the digit 4 is in the thousands place, so its value is 4 × 1000 = 4000.

Q: 22 758 rounded to the nearest hundred is ____.

C. 22 800. The tens digit of 22 758 is 5, so the hundreds digit rounds up: 22 758 → 22 800.

Q: How many one-sevenths are there in 2 wholes?

D. 14. 2 wholes = 14/7, which is 14 one-sevenths.

Q: Arrange the following fractions from the greatest to the smallest. 1/3, 5/6, 7/12

C. 5/6, 7/12, 1/3. Common denominator 12: 1/3 = 4/12, 5/6 = 10/12, 7/12 = 7/12. From greatest to smallest: 10/12, 7/12, 4/12 = 5/6, 7/12, 1/3.

Q: In the number 32.14, the digit ____ is in the tenths place.

A. 1. In 32.14, the digit immediately after the decimal point is 1, so 1 is in the tenths place.

Q: In the figure below, which angle is smaller than a right angle?

D. ∠d. Angles a, b and c in the figure are right angles or larger (b and c are marked as right angles). Angle d at the bottom-left vertex is clearly acute (smaller than 90°).

Q: In the square grid below, which of the following lines is parallel to NQ?

A. LM. On the square grid, segment NQ has the same slope/direction as segment LM (both go the same number of squares right and down). Hence LM is parallel to NQ.

Q: Which of the following could be the height of the study table?

D. 70 cm. A study table's height is typically around 70 cm — 7 m / 70 m are far too tall and 7 cm is far too short.

Q: A fruit seller had 3200 oranges. 310 oranges were rotten. He threw the rotten oranges away and packed the rest equally into 5 boxes. How many oranges were there in each box?

B. 578. Good oranges = 3200 − 310 = 2890. 2890 ÷ 5 = 578 oranges per box.

Q: The mass of one parcel is 8.32 kg. Find the mass of 8 such parcels.

D. 66.56 kg. 8.32 kg × 8 = 66.56 kg.

Q1 MCQ 2 marks

The value of the digit 4 in 54 397 is ____.

Q2 MCQ 2 marks

22 758 rounded to the nearest hundred is ____.

Q3 MCQ 2 marks

How many one-sevenths are there in 2 wholes?

Q4 MCQ 2 marks

Arrange the following fractions from the greatest to the smallest. 1/3, 5/6, 7/12

Q5 MCQ 2 marks

In the number 32.14, the digit ____ is in the tenths place.

Q6 MCQ 2 marks 🖼 Visual

In the figure below, which angle is smaller than a right angle?

Q7 MCQ 2 marks 🖼 Visual

In the square grid below, which of the following lines is parallel to NQ?

Q8 MCQ 2 marks 🖼 Visual

Which of the following could be the height of the study table?

Q9 MCQ 2 marks

A fruit seller had 3200 oranges. 310 oranges were rotten. He threw the rotten oranges away and packed the rest equally into 5 boxes. How many oranges were there in each box?

Q10 MCQ 2 marks

The mass of one parcel is 8.32 kg. Find the mass of 8 such parcels.

Q11 MCQ 2 marks 🖼 Visual

In the number line, what is the value represented by A?

Q12 MCQ 2 marks 🖼 Visual

Jane started doing her homework at the time shown below. She took 45 min to do her homework. What time did she complete her homework?

Q13 MCQ 2 marks

Kenneth wanted to buy two shirts that cost $25.65 each, but he was short of $14.20. How much money did Kenneth have?

Q14 MCQ 2 marks

After donating 1/3 of her money to charity, Janelle had $24 left. How much money did she have at first?

Q15 MCQ 2 marks 🖼 Visual

The figure is made up of 2 identical rectangles. What is the perimeter of the figure?

Q16 MCQ 2 marks 🖼 Visual

The figure below is made up of a rectangle measuring 20 cm by 10 cm with a shaded rectangle placed inside. Find the area of the shaded rectangle.

Q17 MCQ 2 marks 🖼 Visual

Yanda is standing at the point marked A in the diagram above. He is facing the market. Where will he be facing when he turns 135° clockwise?

Q18 MCQ 2 marks 🖼 Visual

How many students borrowed more than 3 books?

Q19 MCQ 2 marks 🖼 Visual

How many more fruits were sold on Friday than Tuesday?

Q20 MCQ 2 marks

Ben is 8 years old. Charles is three times as old as Ben and 4 years older than Daniel. How old is Ben when Daniel is 50 years old?

Q21 Open-ended 2 marks

Arrange the following numbers from the greatest to the smallest. 379, 937, 973, 397

Q22 Open-ended 2 marks

Find the product of 4290 and 3.

Q23 Open-ended 2 marks

Write 23/6 as a mixed number.

Q24 Open-ended 2 marks

Find the value of 1 − 1/6 − 1/3.

Q25 Open-ended 2 marks

Round off 12.56 to the nearest whole number.

Q26 Open-ended 2 marks

Find the value of 6.35 × 8.

Q27 Open-ended 2 marks 🖼 Visual

In the figure below, ABCD is a rectangle. Find ∠x.

Q28 Open-ended 2 marks 🖼 Visual

Write the decimal represented by A.

Q29 Open-ended 2 marks

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

Q30 Open-ended 2 marks

A number when divided by 7 gives a quotient of 145 and a remainder of 6. What is the number?

Q31 Open-ended 2 marks

The total marks that John and Ken scored in a Science test was 175. John scored 23 more marks than Ken. How many marks did Ken score in the Science test?

Q32 Open-ended 2 marks

Derek baked some cookies. The number of cookies he baked was fewer than 30. He could pack them equally into bags of 3 cookies or bags of 4 cookies with no leftovers. What was the greatest possible number of cookies he baked?

Q33 Open-ended 2 marks

Tank A contained 5 times as much water as Tank B at first. After 20.16 ℓ of water from Tank A was poured into Tank B, both tanks contained an equal amount of water. How much water was there in Tank A at first?

Q34 Open-ended 2 marks 🖼 Visual

Rosalind had a piece of copper wire. She bent the copper wire into the shape shown in the figure below which is made up of 3 squares. The length XY is 9 cm. Find the length of the copper wire used.

Q35 Open-ended 2 marks 🖼 Visual

Mr Fariz folded a rectangular piece of paper to form the figure shown below. Find the area of the rectangular piece of paper.

Q36 Open-ended 2 marks 🖼 Visual

Complete the symmetric figure using Line AB as the line of symmetry.

Q37 Open-ended 2 marks 🖼 Visual

Which group has twice the number of students as Group B?

Q38 Open-ended 2 marks 🖼 Visual

Group C has 5 more students than Group D. How many students are there in Group B?

Q39 Open-ended 2 marks 🖼 Visual

Two rods of the same length are placed as shown. There is an overlap of 6 cm. What is the length of each rod?

Q40 Open-ended 2 marks

Rachel had some cookies. She gave 5/8 of them to her grandmother and 7 cookies to her aunt. She then had 20 cookies left. How many cookies did she have at first?

Q41 Structured 4 marks 🖼 Visual

(a) AB and BC are 2 sides of a square. Draw and label the square ABCD in the grid. [2] (b) The area of rectangle CEFG is twice the area of the square ABCD. In the grid, draw and label rectangle CEFG. [2]

Q42 Structured 4 marks 🖼 Visual

Rectangle ABCD is made up of 3 identical small rectangles and 2 identical squares. The area of ABCD is 648 cm². (a) Find the area of each square. (b) Find the perimeter of each small rectangle.

Q43 Structured 4 marks

Mdm Devi bought a dress, a shirt and a bag. She spent the same amount of money on the bag and the dress. The shirt cost $49.80 less than the bag. The dress cost 3 times as much as the shirt. (a) What was the cost of the shirt? (b) What was the total cost of the dress and the bag?

Q44 Open-ended 4 marks

Aisha and Bella had 219 stickers. After Aisha used 1/3 of her stickers and Bella used 39 stickers, they had the same number of stickers left. How many stickers did Bella have at first?

Q45 Structured 4 marks

The first 18 numbers of a number pattern are given below. 4, 6, 5, 6, 2, 1, 4, 6, 5, 6, 2, 1, 4, 6, 5, 6, 2, 1, … (1st, 7th, 13th positions marked) (a) What is the 51st number? (b) What is the sum of the first 61 numbers?

P4 Mathematics SA2 2023 — Red Swastika

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