D. 4/9. To add fractions, find a common denominator. The common denominator for 3 and 9 is 9. Convert 1/3 to an equivalent fraction with a denominator of 9: 1/3 = (1*3)/(3*3) = 3/9. Then add the fractions: 3/9 + 1/9 = 4/9.

P4 Mathematics SA2 2023 — Rosyth | Singapore Past Year Paper

Q: Forty-six thousand and sixteen in figures is

C. 46 016. Forty-six thousand is 46,000. Sixteen is 16. Combining them gives 46,016.

Q: In which of the following numbers does the digit 8 stands for 80?

B. 3082. In 3082, the digit 8 is in the tens place, so its value is 8 x 10 = 80.

Q: 13 429 rounded to the nearest hundred is

C. 13 400. To round to the nearest hundred, look at the tens digit. The tens digit is 2. Since 2 is less than 5, round down. The hundreds digit (4) stays the same, and the digits after it become 0. So, 13,429 rounds to 13,400.

Q: The figure shown is made up of identical triangles. What fraction of the figure is shaded?

A. 4/12. Count the total number of identical triangles in the figure, which is 12. Count the number of shaded triangles, which is 4. The fraction of the figure that is shaded is 4/12.

Q: In the figure shown, PQRS is a square. Find ∠v.

B. 54°. In a square, all interior angles are 90°. Angle Q (∠PQR) is 90°. The angle is divided into three parts: 20°, ∠v, and 16°. So, 20° + ∠v + 16° = 90°. Combining the known angles: 36° + ∠v = 90°. Therefore, ∠v = 90° - 36° = 54°.

Q: What is the number when 17.54 is rounded to 1 decimal place?

B. 17.5. To round 17.54 to 1 decimal place, look at the second decimal digit, which is 4. Since 4 is less than 5, the first decimal digit (5) remains unchanged. So, 17.54 rounded to 1 decimal place is 17.5.

Q: Abby started cleaning her room at 13 30. She took 1 h 30 min to clean her room. What time did she finish cleaning her room?

D. 15 00. Start time: 13:30. Duration: 1 hour 30 minutes. Adding the duration: 13:30 + 1 hour = 14:30. 14:30 + 30 minutes = 15:00. So, she finished cleaning her room at 15 00.

Q: Which of the following figures in the square grid below has both parallel lines and perpendicular lines?

A. (1). Figure (1) forms a rectangle/square with its sides aligned to the grid. It has two pairs of parallel lines (horizontal and vertical) and pairs of perpendicular lines (where horizontal and vertical lines meet). Figures (2), (3), and (4) do not clearly show both parallel and perpendicular lines.

Q: The figure shown is made up of a square S of side 5 cm and a rectangle R with breadth 2 cm. What is the length of rectangle R?

D. 4 cm. The total length of the base of the composite figure is 9 cm. The square S has a side of 5 cm, meaning its width is 5 cm. Rectangle R is attached to the left of square S. The length of rectangle R plus the width of square S equals the total length of the figure. So, Length of R + 5 cm = 9 cm. Length of R = 9 cm - 5 cm = 4 cm.

Q1 MCQ 2 marks

Forty-six thousand and sixteen in figures is

Q2 MCQ 2 marks

In which of the following numbers does the digit 8 stands for 80?

Q3 MCQ 2 marks

13 429 rounded to the nearest hundred is

Q4 MCQ 2 marks 🖼 Visual

The figure shown is made up of identical triangles. What fraction of the figure is shaded?

Q5 MCQ 2 marks

1/3 + 1/9 =

Q6 MCQ 2 marks 🖼 Visual

In the figure shown, PQRS is a square. Find ∠v.

Q7 MCQ 2 marks

What is the number when 17.54 is rounded to 1 decimal place?

Q8 MCQ 2 marks

Abby started cleaning her room at 13 30. She took 1 h 30 min to clean her room. What time did she finish cleaning her room?

Q9 MCQ 2 marks 🖼 Visual

Which of the following figures in the square grid below has both parallel lines and perpendicular lines?

Q10 MCQ 2 marks 🖼 Visual

The figure shown is made up of a square S of side 5 cm and a rectangle R with breadth 2 cm. What is the length of rectangle R?

Q11 MCQ 2 marks 🖼 Visual

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

Q12 MCQ 2 marks 🖼 Visual

The following table shows the number of students who visited the Makerspace from Monday to Friday. What is the total number of students who visited the Makerspace from Monday to Wednesday?

Q13 MCQ 2 marks 🖼 Visual

The following rectangle ABCD is made up of 2 squares. The perimeter of a square is 80 cm. Find the perimeter of rectangle ABCD.

Q14 MCQ 2 marks

Jason spent $55 on 2 identical shirts and a pair of pants. A pair of pants cost $25 more than a shirt. How much did he spend on 1 shirt?

Q15 MCQ 2 marks 🖼 Visual

Alicia is facing her school. She makes a 1/2 turn anticlockwise. She then makes a 270° turn clockwise. Where is she facing now?

Q16 Open-ended 2 marks

83 905 = 80 000 + 3000 + ____ + 5 What is the missing number?

Q17 Open-ended 2 marks

Write the missing number in the number pattern below. 13 000, 12 600, 12 200, 11 800, ____, 11 000

Q18 Open-ended 2 marks

Express 10/15 in its simplest form.

Q19 Open-ended 2 marks

Write 15/7 as a mixed number.

Q20 Open-ended 2 marks 🖼 Visual

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

Q21 Open-ended 2 marks

Write 5 thousandths as a decimal.

Q22 Open-ended 2 marks

Write 85/100 as a decimal.

Q23 Open-ended 2 marks

Arrange the following numbers in order from the greatest to the smallest. 3.909, 3.093, 3.099

Q24 Open-ended 2 marks

Express 0.4 as a fraction.

Q25 Structured 🖼 Visual

The following line graph shows the number of soft toys sold at the Care Carnival. Each soft toy was sold at $12. (a) Which day has the greatest number of soft toys sold? (b) How much money was collected from the sales on that day?

Q26 Open-ended 3 marks

Mrs Wong wants to pack 36 blueberry cupcakes and 54 chocolate cupcakes into boxes with no remainder. The total number of cupcakes packed into each box is the same. The number of blueberry cupcakes in each box is the same. What is the greatest number of boxes that Mrs Wong can pack?

Q27 Open-ended 3 marks 🖼 Visual

Emily and Guo Chuan are standing at point X facing the same direction. After Emily makes a 270° turn clockwise, she faces south-east. Where will Guo Chuan face after he makes a 135° anticlockwise turn from the original position?

Q28 Open-ended 2 marks 🖼 Visual

Complete the following symmetric figure with line AB as the line of symmetry.

Q29 Open-ended 2 marks 🖼 Visual

The graph below shows the number of fruits sold in the first week of August. Which fruit was sold twice as many as mangoes?

Q30 Open-ended 2 marks 🖼 Visual

The figure is made up of 2 identical rectangles. The total area of the figure is 48 cm². Find the length of one rectangle.

Q31 Open-ended 2 marks 🖼 Visual

The following square and rectangle have the same perimeter. Find the area of the square.

Q32 Open-ended 3 marks 🖼 Visual

A square of side 4 cm has been cut out from a rectangular piece of paper as shown below. Exactly 6 such squares can be cut out from the paper without any leftover. Find the perimeter of the piece of paper now.

Q33 Open-ended 3 marks 🖼 Visual

10 trees were planted along a road at equal distance. The distance between the 2nd and the 4th tree was 5.6 m. What was the distance between the 1st and the 10th tree?

Q34 Open-ended 2 marks

Aini prepared 6 L of fruit punch for a party. She poured them equally into 4 bottles. What is the volume of the fruit punch in each bottle?

Q35 Open-ended 3 marks

Kelvin is 1.81 m tall. He is 0.35 m taller than Jonathan. Jonathan is 0.29 m shorter than Elson. What is Elson's height?

Q36 Open-ended 2 marks

Leela's watch is 15 minutes slower. The time shown on her watch is 1.35 p.m. Find the actual time using the 24-hour clock.

Q37 Open-ended 3 marks

When I open my storybook, two pages face me. The sum of these two page numbers is 667. What is the page number of the smaller number?

Q38 Open-ended 3 marks

Mark bought some sweets. He gave his friends 1/7 of the sweets and gave his brother 3/4 of the sweets. All the remaining sweets were eaten by him. What fraction of the sweets did Mark eat?

Q39 Structured 🖼 Visual

The following graph shows the number of visitors who went to the museum over seven months. (a) Between January to June, which month has the least number of visitors? (b) The total number of visitors who went to the museum in May, June and July is 1500. How many visitors went to the museum in July?

Q40 Open-ended 3 marks 🖼 Visual

The figure below is made up of 5 identical squares. The area of a square is 25 cm². What is the perimeter of the figure above?

Q41 Structured

Nicole had baked five times as many cookies as Joey at first. After Nicole gave away 235 cookies and Joey gave away 19 cookies, they had the same number of cookies left. (a) How many cookies did Nicole bake at first? (b) How many cookies did each of them have in the end?

Q42 Structured

Mrs Devi and Mdm Tan baked an equal number of muffins for sale. Mrs Devi sold 49 muffins and had 2/9 of the muffins left. (a) How many muffins did Mrs Devi have left? (b) How many muffins did Mrs Devi and Mdm Tan bake in all?

Q43 Open-ended 4 marks

Charlie had twice as marbles as Sally. After Sally lost 45 marbles, Charlie had 5 times as many marbles as Sally. How many marbles did Charlie have?

Q44 Open-ended 4 marks

Three children shared some money. Alice and Benny received $100 altogether. Benny and Catherine received $450 in all. Catherine received five times as much money as Alice. How much money did Alice receive?

P4 Mathematics SA2 2023 — Rosyth

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