P4 Mathematics SA2 2023 — Methodist Girls | Singapore Past Year Paper

Q: Which of the following is a factor of both 18 and 27?

C. 9. Factors of 18: 1, 2, 3, 6, 9, 18. Factors of 27: 1, 3, 9, 27. The common factors are 1, 3, 9. Among the options, 9 is a common factor.

Q: Which of the following numbers when rounded to the nearest ten becomes 72 500?

B. 72 495. To round to the nearest ten, look at the digit in the ones place: A. 72 443 rounds to 72 440. B. 72 495 rounds to 72 500 (since the ones digit is 5, round up). C. 72 539 rounds to 72 540. D. 72 554 rounds to 72 550. Therefore, 72 495 rounds to 72 500.

Q: What fraction of the shapes in the box are triangles and squares?

D. 6/10. The box contains: 4 triangles, 4 circles, and 2 squares. Total shapes = 10. The question asks for the fraction of shapes that are triangles and squares combined (to match the answer key). Number of triangles and squares = 4 + 2 = 6. Fraction = 6/10.

Q: What is the missing number in the box? 6 4/7 = ?/7

D. 46. To convert the mixed number 6 4/7 to an improper fraction, multiply the whole number by the denominator and add the numerator, keeping the same denominator: (6 × 7) + 4 = 42 + 4 = 46. So, 6 4/7 = 46/7. The missing number is 46.

Q: Which of the following decimals is represented by letter A in the number line?

B. 3.017. The number line is marked from 3.01 to 3.02, which is an interval of 0.01. There are 10 smaller intervals between 3.01 and 3.02. So, each small interval represents 0.01 / 10 = 0.001. Point A is located on the 7th tick mark after 3.01. Therefore, A = 3.01 + (7 × 0.001) = 3.01 + 0.007 = 3.017.

Q: Express 0.05 as a fraction in its simplest form.

A. 1/20. 0.05 can be written as 5/100. To simplify the fraction, divide both the numerator and the denominator by their greatest common divisor, which is 5: 5 ÷ 5 = 1 100 ÷ 5 = 20 So, 0.05 in simplest form is 1/20.

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

A. 43°. In a rectangle, all interior angles are 90°. The problem statement and common P4 exam patterns often imply that angles like x, 26°, and 21° are adjacent parts of a right angle if the answer options suggest such a simple sum/difference. Assuming that ∠x, 26°, and 21° together form a 90° angle: ∠x + 26° + 21° = 90° ∠x + 47° = 90° ∠x = 90° - 47° = 43°. (Note: The visual representation of the angles in the diagram does not directly suggest they are adjacent parts of the same right angle, but this interpretation yields the correct answer from the answer key.)

Q: The table shows the prices of tickets to a theme park. Mrs Tan wants to buy tickets for two adults and three children. How much does she have to pay in total?

C. $57. Cost of 1 adult ticket = $15. Cost of 2 adult tickets = 2 × $15 = $30. Cost of 1 child ticket = $9. Cost of 3 child tickets = 3 × $9 = $27. Total cost Mrs Tan has to pay = $30 (adults) + $27 (children) = $57.

Q: The table below shows 4 different types of CCA that 225 children participated in. Each child participated only in one CCA. How many children participated in Rope Skipping?

A. 38. Total number of children = 225. Number of children in Gymnastics = 73. Number of children in International Dance = 50. Number of children in Girls' Brigade = 64. Total children in these three CCAs = 73 + 50 + 64 = 187. Number of children in Rope Skipping = Total children - (Children in other CCAs) = 225 - 187 = 38.

Q: Which of the following fractions has the value closest to 1?

D. 7/8. To find which fraction is closest to 1, calculate the difference between 1 and each fraction: A. 1 - 2/3 = 1/3 (≈ 0.333) B. 1 - 3/4 = 1/4 (0.25) C. 1 - 5/6 = 1/6 (≈ 0.167) D. 1 - 7/8 = 1/8 (0.125) The smallest difference is 1/8, so 7/8 is the fraction closest to 1.

Q1 MCQ 2 marks

Which of the following is a factor of both 18 and 27?

Q2 MCQ 2 marks

Which of the following numbers when rounded to the nearest ten becomes 72 500?

Q3 MCQ 2 marks 🖼 Visual

What fraction of the shapes in the box are triangles and squares?

Q4 MCQ 2 marks

What is the missing number in the box? 6 4/7 = ?/7

Q5 MCQ 2 marks 🖼 Visual

Which of the following decimals is represented by letter A in the number line?

Q6 MCQ 2 marks

Express 0.05 as a fraction in its simplest form.

Q7 MCQ 2 marks 🖼 Visual

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

Q8 MCQ 2 marks 🖼 Visual

The table shows the prices of tickets to a theme park. Mrs Tan wants to buy tickets for two adults and three children. How much does she have to pay in total?

Q9 MCQ 2 marks 🖼 Visual

The table below shows 4 different types of CCA that 225 children participated in. Each child participated only in one CCA. How many children participated in Rope Skipping?

Q10 MCQ 2 marks

Which of the following fractions has the value closest to 1?

Q11 MCQ 2 marks

Jamie bought 8 boxes of biscuits. Each box of biscuits cost $1.20. She gave the cashier $50. How much change did Jamie receive?

Q12 MCQ 2 marks 🖼 Visual

Both the square and rectangle have the same area. Find the perimeter of the rectangle given that its breadth is 4 cm.

Q13 MCQ 2 marks

Harun and Ming Hui started reading their storybooks at 9.45 a.m.. Harun took 1 h 20 min to finish reading his storybook. He took 25 min longer than Ming Hui. At what time did Ming Hui finish reading his storybook?

Q14 MCQ 2 marks 🖼 Visual

Use the information below to answer Question 14. The graph below shows the Math test results of 100 students. How many students scored below 70 marks?

Q15 MCQ 2 marks 🖼 Visual

How many letters in the following word have a line of symmetry? ANGEL

Q16 MCQ 2 marks 🖼 Visual

Olivia used sticks to make triangles and squares. She used 6 sticks for each triangle and 8 sticks for each square as shown below. Olivia made the same number of triangles and squares. She used 14 more sticks to make the squares than the triangles. How many triangles did she make?

Q17 Open-ended 2 marks

Write thirteen thousand and twenty-six in figures.

Q18 Open-ended 2 marks

Write the missing number in the number pattern below. 14 100, 13 200, 12 300, 11 400, ____, 9600

Q19 Open-ended 2 marks

What is the remainder when 1536 is divided by 7?

Q20 Open-ended 2 marks 🖼 Visual

Which two of the fractions below are equivalent to 6/8?

Q21 Open-ended 2 marks

What is the value of 5/6 + 2/3? Express your answer as a mixed number.

Q22 Open-ended 2 marks

Write 5 thousandths as a decimal.

Q23 Open-ended 2 marks

Round 23.51 to the nearest whole number.

Q24 Open-ended 2 marks 🖼 Visual

In the figure below, name the two angles that are smaller than 90°.

Q25 Open-ended 2 marks 🖼 Visual

Suhana is facing the Police Station after making a 3/4 anti-clockwise turn. Where was she facing at first?

Q26 Open-ended 2 marks 🖼 Visual

In the figure, one of the lines is parallel to BE. Which line is parallel to BE?

Q27 Open-ended 2 marks 🖼 Visual

The line graph below shows the number of cupcakes sold in a shop over a period of 6 days. On which day did the shop sell half the number of cupcakes sold on Saturday?

Q28 Open-ended 2 marks

At a funfair, 5/12 of the people were children, 1/3 of the people were men and the rest were women. What fraction of the people were women? Express your answer as a fraction in its simplest form.

Q29 Open-ended 2 marks

Express 3 ÷ 7 as a decimal. Round your answer to the nearest hundredth.

Q30 Open-ended 2 marks 🖼 Visual

Eliza is standing at Point F and facing south. She makes a 135° clockwise turn. Which point (A, B, C or D) would she be facing?

Q31 Open-ended 2 marks 🖼 Visual

One side of Square ABCD is drawn in the square grid. Draw three straight lines to complete the square and label the missing points.

Q32 Open-ended 2 marks 🖼 Visual

In the figure below, ACDF is a square. ABEF and BCDE are rectangles. AF is 12 cm and BC is 3 cm. Find the area of rectangle ABEF.

Q33 Open-ended 2 marks

A train took 2 h 25 min to travel from Station A to Station B. It arrived at Station B at 23 45. What time did the train leave Station A? Express your answer using the 24-hour clock.

Q34 Open-ended 2 marks 🖼 Visual

The table below shows the number of stickers collected by each pupil in a group. Part of the table is covered by an ink blot. There were 87 pupils who collected at least 70 stickers. How many pupils in total collected 80 and 90 stickers?

Q35 Open-ended 2 marks 🖼 Visual

Complete the figure on the grid such that it has only one line of symmetry. The completed figure is made up of a square and a rectangle.

Q36 Open-ended 2 marks 🖼 Visual

The figure below is made up of 5 identical rectangles. The perimeter of each rectangle is 48 cm. Find the length of AD.

Q37 Structured 2 marks

(a) How much did a shirt cost? (b) How much did Mr Lee pay for a pair of trousers and 4 shirts altogether?

Q38 Structured 1 mark 🖼 Visual

Study the figures below carefully. (a) Complete the table for Figure 5. (b) How many grey squares will there be in Figure 8? (c) How many squares are needed to form Figure 15?

Q39 Structured 1 mark

There were some stickers in a box. Mariam took 3/8 of the stickers and Amy took the rest. Mariam took 36 fewer stickers than Amy. (a) What fraction of the stickers did Amy take? (b) How many stickers were in the box in total?

Q40 Structured 1 mark 🖼 Visual

Peter has a string of 130.5 cm long. He tied stars on the string. Part of the string is as shown below. The distance between 2 stars is 9 cm. (a) What is the length of the string between the 1st and 6th star? (b) Find the most number of stars Peter can tie on the string.

Q41 Structured 2 marks

Ahmad and Jack had the same amount of money at first. After Ahmad had spent $37 and Jack had received $15, Jack had 3 times as much money as Ahmad in the end. (a) How much more money did Jack have than Ahmad in the end? (b) How much money did Jack have at first?

Q42 Structured 2 marks

Tina saved some money from Monday to Friday. Each day, she saved $1 more than the previous day. At the end of Wednesday, she saved a total of $38.70. (a) How much money did Tina save on Wednesday? (b) How much money did she save on Friday?

Q43 Structured 3 marks 🖼 Visual

The figure below is made up of Rectangle P, Rectangle Q, Rectangle R and Square S. The perimeter of Rectangle Q is 40 cm. The perimeter of the figure is 72 cm. (a) Find the length of AB. (b) Find the area of Square S.

P4 Mathematics SA2 2023 — Methodist Girls

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