P4 Mathematics SA2 2023 — Henry Park | Singapore Past Year Paper

Q: 60 000 + 4000+800 + 7 =

(2) 64 807. Add the given place values: 60 000 + 4 000 = 64 000. Then 64 000 + 800 = 64 800. Finally, 64 800 + 7 = 64 807.

Q: Complete the following number pattern. 7, 11, 15, ____, ____, 27

(4) 19, 23. Observe the pattern: 11 - 7 = 4, 15 - 11 = 4. The pattern is to add 4 to the previous number. So, 15 + 4 = 19. Then 19 + 4 = 23. Check the next number: 23 + 4 = 27, which matches the given number. Thus, the missing numbers are 19 and 23.

Q: How many sixths are there in 2 wholes?

(4) 12. One whole is equivalent to 6 sixths (6/6). Therefore, 2 wholes would be 2 multiplied by 6 sixths, which is 12 sixths (12/6).

Q: Which of the following decimals is the smallest?

(3) 4.032. To compare decimals, align the decimal points and compare digits from left to right. All numbers have 4 in the ones place. Compare the tenths place: 4.07 (0), 4.18 (1), 4.032 (0), 4.85 (8). The smallest tenths digit is 0. Now compare 4.07 and 4.032. In the hundredths place: 4.07 (7), 4.032 (3). The smallest hundredths digit is 3, making 4.032 the smallest decimal.

Q: In which of the following numbers does the digit 7 stand for 7 tenths?

(1) 413.75. The tenths place is the first digit after the decimal point. In 413.75, the digit 7 is in the tenths place, representing 7/10 or 0.7.

Q: One of the lines in the figure shown below is parallel to JK. Which line is parallel to JK?

(4) LM. Parallel lines are lines that are always the same distance apart and never meet. By visual inspection of the figure, line LM is parallel to line JK.

Q: The graph below shows the favourite sport of some students. Which sport is twice as popular as hockey?

(1) Tennis. From the bar graph, the number of students who chose Hockey is 100. Twice as popular as hockey would be 2 * 100 = 200 students. Looking at the graph, Tennis has 200 students.

Q: The figure below is formed using 2 squares. Find the perimeter of the figure.

(2) 28 m. The figure is described as being formed by 2 squares. By inspecting the image, assume the larger square has a side length of 7m (from the top label). The smaller labels (2m and 3m) appear to denote segments of the larger square's sides where another square is implicitly attached or 'cut out'. If it's a 7m x 7m square, and a 3m x 3m square is attached, creating an L-shape. The external perimeter is the sum of all exposed sides. These are: 7m (top) + 7m (left) + (7m-3m) (bottom-left segment) + 3m (bottom-right segment of small square) + 3m (right-vertical segment of small square) + (7m-3m) (top-right segment of large square). The perimeter is 7 + 7 + 4 + 3 + 3 + 4 = 28 m. (The labels 2m and 3m are likely a specific interpretation of a larger square with a smaller square cut from a corner, where the smaller square's sides are 3m, and the remaining segments are 7-3=4m).

Q: Madam Lim bought 4/5 kg of chicken meat. She bought 3/10 kg less than the amount of chicken meat bought by Mrs Tan. How many kilograms of chicken meat did Mrs Tan buy?

(4) 11/10 kg. Madam Lim bought 4/5 kg. Mrs Tan bought 3/10 kg more than Madam Lim. So, Mrs Tan's amount = 4/5 kg + 3/10 kg. To add fractions, find a common denominator, which is 10. Convert 4/5 to 8/10. So, Mrs Tan = 8/10 kg + 3/10 kg = 11/10 kg.

Q: George was at a restaurant in a zoo. At the restaurant, George was facing south-west at first. He then made a 3/4-turn clockwise. Which animal would he be facing then?

(3) Monkey. The compass points are North, North-East, East, South-East, South, South-West, West, North-West, each separated by 45 degrees. A 3/4 turn clockwise is 3 * 90 degrees = 270 degrees, or 6 steps of 45 degrees. Starting at South-West (Giraffe): 1. West (Zebra), 2. North-West (Elephant), 3. North (Lion), 4. North-East (Tiger), 5. East (Leopard), 6. South-East (Monkey). So, George would be facing the Monkey.

Q1 MCQ 2 marks

60 000 + 4000+800 + 7 =

Q2 MCQ 2 marks

Complete the following number pattern. 7, 11, 15, ____, ____, 27

Q3 MCQ 2 marks

How many sixths are there in 2 wholes?

Q4 MCQ 2 marks

Which of the following decimals is the smallest?

Q5 MCQ 2 marks

In which of the following numbers does the digit 7 stand for 7 tenths?

Q6 MCQ 2 marks 🖼 Visual

One of the lines in the figure shown below is parallel to JK. Which line is parallel to JK?

Q7 MCQ 2 marks 🖼 Visual

The graph below shows the favourite sport of some students. Which sport is twice as popular as hockey?

Q8 MCQ 2 marks 🖼 Visual

The figure below is formed using 2 squares. Find the perimeter of the figure.

Explanation The figure is described as being formed by 2 squares. By inspecting the image, assume the larger square has a side length of 7m (from the top label). The smaller labels (2m and 3m) appear to denote segments of the larger square's sides where another square is implicitly attached or 'cut out'. If it's a 7m x 7m square, and a 3m x 3m square is attached, creating an L-shape. The external perimeter is the sum of all exposed sides. These are: 7m (top) + 7m (left) + (7m-3m) (bottom-left segment) + 3m (bottom-right segment of small square) + 3m (right-vertical segment of small square) + (7m-3m) (top-right segment of large square). The perimeter is 7 + 7 + 4 + 3 + 3 + 4 = 28 m. (The labels 2m and 3m are likely a specific interpretation of a larger square with a smaller square cut from a corner, where the smaller square's sides are 3m, and the remaining segments are 7-3=4m).

Q9 MCQ 2 marks

Madam Lim bought 4/5 kg of chicken meat. She bought 3/10 kg less than the amount of chicken meat bought by Mrs Tan. How many kilograms of chicken meat did Mrs Tan buy?

Q10 MCQ 2 marks 🖼 Visual

George was at a restaurant in a zoo. At the restaurant, George was facing south-west at first. He then made a 3/4-turn clockwise. Which animal would he be facing then?

Q13 Open-ended 2 marks

Four factors of 12 are 1, 2, 6 and 12. What are the other two factors of 12?

Q14 Open-ended 2 marks

Which two of the following fractions are in the simplest form? 2/3, 10/12, 3/7, 6/8

Q15 Open-ended 2 marks

1/3 + 1/12 =

Q16 Open-ended 2 marks

Find the value of 1 - 3/5 - 1/10.

Q17 Open-ended 2 marks

Write 5 thousandths as a decimal.

Q18 Open-ended 2 marks

Round 117.65 to the nearest whole number.

Q19 Open-ended 2 marks 🖼 Visual

In the figure below, name the smallest angle.

Q20 Open-ended 2 marks 🖼 Visual

A square has an area of 64 cm². Find the length of the square.

Q21 Open-ended 2 marks 🖼 Visual

The table below shows the number of pets that students have at home. How many students have more than 2 pets?

Q22 Open-ended 2 marks

Xiao Hui had more than 10 and fewer than 40 candies. When she packed the candies in bags of 7, she was left with 2 candies. When she packed them in bags of 3, she had no candies left. How many candies did Xiao Hui have?

Q23 Open-ended 2 marks

Jeremy thought of a decimal number with 3 decimal places. When he rounded the number to the nearest hundredth, the value was 10.05. Find the greatest possible value of the decimal number Jeremy thought of.

Q24 Open-ended 2 marks

The difference between the two numbers is 6.18. Given the larger number is 8.03, find the value of the smaller number.

Q25 Structured 3 marks 🖼 Visual

25(a) Shade 2 more squares to form a symmetric figure with AB as the line of symmetry. 25(b) Complete the symmetric figure below using a ruler and pencil.

Q26 Open-ended 2 marks 🖼 Visual

Which of the following figures has/have at least one line of symmetry?

Q27 Open-ended 2 marks 🖼 Visual

A piece of wire is used to form a rectangle with an area of 120 cm². The breadth of the rectangle is 8 cm. Find the perimeter of the rectangle.

Q28 Open-ended 2 marks

Yan Ling started reading at 4.20 p.m. She read for 1 h 35 min. What time did she stop reading?

Q29 Structured 🖼 Visual

The line graph below shows the amount of flour bought by a bakery for 5 days. All the flour bought by the bakery was sold in packets of 5 kg. Each packet of flour cost $20. How much more money did the bakery pay for the flour on Day 5 than Day 3?

Q30 Structured 🖼 Visual

The table below shows the entrance fees to the Singapore Zoo. On Sunday, Mr and Mrs Fong, their ten-year-old child and sixty-five-year-old mother visited the Singapore Zoo. How much did the family pay for the entrance fees altogether?

Q31 Structured

Shop A has 50 apples more than Shop B. Shop A has twice as many apples as Shop C. Given that shops A, B and C have 250 apples altogether, how many apples does Shop C have?

Q32 Structured

Ramli spent 1/3 of his monthly salary on a television. He spent 2/9 of his salary on food and saved the rest. Given that Ramli saved $2392, how much did Ramli spend on food?

Q33 Structured

The total mass of 2 packets of sugar and 2 packets of flour was 6.54 kg. The mass of 1 packet of flour was twice as heavy as 1 packet of sugar. What was the mass of a packet of flour?

Q34 Structured

Patrick bought 4 cupcakes. He gave the cashier some money and received $3.60 as change. Given that each cupcake cost $2.85, how much did he give the cashier?

Q35 Structured 🖼 Visual

The figure below shows a rectangle where ∠a is twice the size of ∠b. Find ∠a

Q36 Structured 4 marks

A total of 2590 adults and children attended a family event on one weekend. 1770 adults attended the event. The number of adults at the event was three times as many as the number of boys. (a) How many children were there at the event? (b) How many girls were at the event?

Q37 Structured 3 marks 🖼 Visual

Line XY is drawn for you in the square grid below. (a) Line XY is perpendicular to Line YK. Line XY is the same length as line YK. Draw and label line YK in the square grid below. (b) Draw and label a square ABCD such that it has a side that is twice the length of line XY in (a).

Q38 Structured 4 marks

At first, Mary had $166 and Larry had $304. Each of them bought 5 similar plates. Each of the plates they bought was of the same price. After buying the plates, Larry had 4 times as much money as Mary left. (a) How much money did Mary have left after buying the 5 plates? (b) What was the price of one plate?

Q39 Structured 4 marks

The total mass of 3 children is 115.9 kg. John weighs twice as heavy as Amelia. Max is 8.4 kg heavier than John. (a) What is Amelia's mass? (b) What is the difference between Amelia's and Max's mass?

Q40 Structured 4 marks 🖼 Visual

Casey used 2 identical rectangular tiles to form the figure below. (a) Find the area of the figure. (b) Find the perimeter of the figure.

Q41 Structured 4 marks

Mr Lee started working on his project at 8.45 a.m. He took a 40-minute lunch break. Then, he continued working on the project till he finished it at 5.30 p.m. (a) How long did Mr Lee spend working on his project? (b) Mr Lee reached the gym at 5.45 p.m. He exercised for 1 hour 40 minutes before driving home. He reached home at 7.50 p.m. How long did he take to drive home?

Q42 Structured 3 marks

Andrew has 1250 stickers and Ben has 490 stickers more than Andrew. Ben gave some of his stickers to Andrew. In the end, Ben had 626 stickers less than Andrew. How many stickers did Ben give to Andrew?

Q43 Structured 4 marks

In a box, 1/3 of the marbles were blue. 7/12 of the marbles were red. There was an equal number of blue and green marbles in the box. The rest of the marbles were pink. There was a total of 581 green and pink marbles in the box. How many red marbles were there in the box?

P4 Mathematics SA2 2023 — Henry Park

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