P4 Mathematics SA2 2023 — Nan Hua | Singapore Past Year Paper

Q: The value of the digit 5 in 75 412 is ____.

C. 5000. In 75 412, the digit 5 is in the thousands place, so its value is 5 × 1000 = 5000.

Q: 32 769 rounded to the nearest hundred is ____.

C. 32 800. The tens digit of 32 769 is 6, which is ≥ 5, so we round the hundreds digit up. 32 769 → 32 800.

Q: 7 4/5 = ▢/5. What is the missing number in the box?

D. 39. Convert mixed number to improper fraction: 7 × 5 + 4 = 35 + 4 = 39. So 7 4/5 = 39/5.

Q: Express 0.08 as a fraction in its simplest form.

A. 2/25. 0.08 = 8/100. Divide numerator and denominator by 4: 8/100 = 2/25.

Q: Write 6 7/20 as a decimal.

C. 6.35. 7/20 = 35/100 = 0.35. So 6 7/20 = 6 + 0.35 = 6.35.

Q: In the figure shown, ABCD is a square. Find ∠x.

C. 55°. Angle DAB of the square = 90°. From the figure, the 20° angle is at vertex A on the right and the 15° angle is at vertex D adjacent to side AD. ∠x = 90° − 20° − 15° = 55°.

Q: The mass of the box of biscuit is ____.

D. 1 kg 300 g. The dial scale has a maximum of 4 kg, divided into major divisions. The pointer indicates between 1 kg and 2 kg, at about 1.3 kg = 1 kg 300 g.

Q: In the figure below, which two lines are perpendicular?

B. AB and AD. On the grid, line AB has a slope of 1 (rise/run) and line AD has a slope of −1 (perpendicular slopes multiply to −1). Therefore AB and AD are perpendicular.

Q: Which of the following figure has a line of symmetry?

B. Figure 2. Only Figure 2 has a configuration of shaded squares on a 4×4 grid that maps onto itself when reflected across a vertical (or horizontal) axis — its shaded pattern is symmetrical about a central line.

Q: Which of the following figures are symmetrical?

B. A and C. A (no-entry/prohibition sign — circle with diagonal line): symmetrical along the diagonal axis. C (sun/star with rays): symmetrical (radial/vertical/horizontal). B (musical eighth-note pair) and D ($ sign) are NOT symmetrical. So A and C.

Q1 MCQ 2 marks

The value of the digit 5 in 75 412 is ____.

Q2 MCQ 2 marks

32 769 rounded to the nearest hundred is ____.

Q3 MCQ 2 marks

7 4/5 = ▢/5. What is the missing number in the box?

Q4 MCQ 2 marks

Express 0.08 as a fraction in its simplest form.

Q5 MCQ 2 marks

Write 6 7/20 as a decimal.

Q6 MCQ 2 marks 🖼 Visual

In the figure shown, ABCD is a square. Find ∠x.

Q7 MCQ 2 marks 🖼 Visual

The mass of the box of biscuit is ____.

Q8 MCQ 2 marks 🖼 Visual

In the figure below, which two lines are perpendicular?

Q9 MCQ 2 marks 🖼 Visual

Which of the following figure has a line of symmetry?

Q10 MCQ 2 marks 🖼 Visual

Which of the following figures are symmetrical?

Q11 MCQ 2 marks

Arrange the following fractions from the greatest to the smallest. 1 1/9, 11/7, 8/7

Q12 MCQ 2 marks 🖼 Visual

In the diagram below, Alice is standing at point A facing the stadium. She makes a 225° anticlockwise turn. Where is she facing now?

Q13 MCQ 2 marks 🖼 Visual

On Monday, 100 children visited the zoo. The number of children at a zoo decreased by 30 from Monday to Tuesday and increased by 50 from Tuesday to Wednesday. Which graph shows the number of children from Monday to Wednesday?

Q14 MCQ 2 marks

Abby reached the bus stop at 12.20 p.m. She waited 15 minutes for the bus and the bus journey was 40 minutes. What time did she reach her destination?

Q15 MCQ 2 marks

The difference between two numbers is 50. The smaller number is 300. What is the sum of the two numbers?

Q16 MCQ 2 marks

A flask contained 2 ℓ of hot water. Ms Tan used 3/4 ℓ of the hot water to make chocolate drinks and 7/8 ℓ of the hot water to make coffee. How much water was left in the flask?

Q17 MCQ 2 marks 🖼 Visual

Find the perimeter of the figure shown below. All the lines meet at right angles.

Q18 MCQ 2 marks 🖼 Visual

The figure below shows a photo frame that measures 30 cm by 22 cm. A picture is mounted on the frame leaving a border of 1 cm around it. Find the area of the picture.

Q19 MCQ 2 marks 🖼 Visual

There are three electric stars on a Christmas tree. The three electric stars will light up every 3 minutes, 4 minutes, and 6 minutes respectively. The three electric stars are switched on and light up together for the 1st time at 10 00. What time will the electric stars light up together for the 3rd time?

Q20 MCQ 2 marks 🖼 Visual

The table below shows the number of books read by 4A and 4B students in a week. Which of the following statement(s) is true? X The total number of students in 4A is 35. Y The total number of books read by students in 4B is 37. Z The total number of books read by students in 4A is 69.

Q21 Open-ended 2 marks

Some factors of 12 are 1, 2, 3 and 12. What are the other two factors of 12?

Q22 Open-ended 2 marks

4304 ÷ 8 = ____

Q23 Open-ended 2 marks

Write the missing number in the number pattern below. 32 400, 32 000, 31 600, 31 200, ____, 30 400

Q24 Open-ended 2 marks 🖼 Visual

What fraction of the buttons shown are grey in colour?

Q25 Open-ended 2 marks

Which two of the fractions below are in the simplest form? 2/5, 3/6, 4/10, 5/12

Q26 Open-ended 2 marks

What is the value of 5/9 + 2/3? Express your answer as a mixed number.

Q27 Open-ended 2 marks

6.4 − 0.73 = ____

Q28 Open-ended 2 marks

Find the value of 4.72 × 6.

Q29 Open-ended 2 marks 🖼 Visual

Write the decimal represented by A.

Q30 Open-ended 2 marks 🖼 Visual

Use a protractor and draw ∠ABC = 100° using the given line. Mark and label the point C.

Q31 Open-ended 2 marks 🖼 Visual

The table below shows the times taken by four girls to complete a 100 m race. Write down the names of the girls from the 1st to the 4th position.

Q32 Open-ended 2 marks

In a factory, sweets are equally packed into boxes. Bill bought two boxes of sweets. He received 1044 sweets altogether. How many sweets would Bill receive in total, if he buys five more boxes of sweets?

Q33 Open-ended 2 marks 🖼 Visual

In the grid below, draw and label the square ABCD. Lines AB and BC have been drawn for you.

Q34 Open-ended 2 marks 🖼 Visual

What was the total number of chocolates sold between 11 00 to 13 00?

Q35 Open-ended 2 marks 🖼 Visual

In which one-hour interval was the increase in the number of chocolates sold the greatest?

Q36 Open-ended 2 marks 🖼 Visual

The table below shows the total value of the coins in the piggy bank. The graph below shows the number of coins in the piggy bank. Label the bar graph by writing T for twenty-cent coins, F for fifty-cent coins and O for one-dollar coins in the boxes below.

Q37 Open-ended 2 marks

James took a flight from Singapore to Taiwan. The plane left Singapore 20 min before midnight and he arrived in Taiwan at 04 50. What is the duration of the flight?

Q38 Open-ended 2 marks

A number is between 30 and 40. When it is divided by 3, the answer is a whole number. When it is divided by 4, the remainder is 3. What is the number?

Q39 Open-ended 2 marks 🖼 Visual

At the school bookshop, the following stationeries are sold at the prices below. Stapler $5, Scissors $8, Ruler $3. Circle the correct options. Bess spent a total of $31 at the school book shop. She bought 3 identical staplers/scissors/rulers and 2 identical staplers/scissors/rulers.

Q40 Open-ended 2 marks 🖼 Visual

28 flags were placed around a square field at equal distance apart. The number of flags on each side of the field is the same. There is a flag at every corner of the field. Two of the flags are shown in the figure below. How many flags are there on each side of the field?

Q41 Open-ended 3 marks

Bill is 4 times as heavy as Charlotte. He is 98.4 kg. What is the total mass of Bill and Charlotte?

Q42 Open-ended 3 marks

Ben had a piece of string. He cut it into three pieces, String A, String B and String C. String B is 0.15 m longer than String A and 2.7 m longer than String C. String A is 4.36 m long. What is the length of String C?

Q43 Open-ended 3 marks

John had some money. He spent 1/4 of his money on food and 5/8 of his money on books. He spent $12 more on books than food. How much money did he have at first?

Q44 Open-ended 3 marks

Ravi and Sam had 1780 stickers altogether. After Sam gave Ravi 40 stickers, they had the same number of stickers. How much stickers did Sam had at first?

Q45 Open-ended 4 marks

A television costs 10 times as much as a chair. 1 television and 1 table cost $1820. 1 table and 1 chair cost $560. What is the cost of 1 television and 2 tables?

Q46 Open-ended 4 marks 🖼 Visual

Mary was doing origami. She used a rectangular piece of paper as shown in Figure 1. First, she folded one side as shown in Figure 2. Next, she folded the paper upwards as shown in Figure 3. The area of the shaded part is 24 cm². What is the perimeter of the rectangular piece of paper as shown in Figure 1?

P4 Mathematics SA2 2023 — Nan Hua

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