(2) 34 208. To find the sum, add the numbers: 30000 + 4000 + 200 + 8 = 34208.

(4) 4/9. To add the fractions, find a common denominator. The least common multiple of 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. Now, add the fractions: 3/9 + 1/9 = (3+1)/9 = 4/9.

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

Q: Which of the following is a multiple of 6?

(1) 30. A multiple of 6 is a number that can be divided by 6 with no remainder. (1) 30 ÷ 6 = 5. So, 30 is a multiple of 6. (2) 2 is not a multiple of 6. (3) 28 is not a multiple of 6. (4) 16 is not a multiple of 6. Therefore, 30 is the correct answer.

Q: The digit 8 in 9.283 stands for 8

(4) hundredths. In the decimal number 9.283: - 9 is in the ones place. - 2 is in the tenths place. - 8 is in the hundredths place. - 3 is in the thousandths place. So, the digit 8 stands for 8 hundredths.

Q: Which of the following decimals is the smallest?

(3) 3.038. To find the smallest decimal, compare the digits from left to right: - All numbers have 3 in the ones place. - Compare the tenths place: 3.07 (0), 3.15 (1), 3.038 (0), 3.304 (3). The smallest tenths digit is 0, so we compare 3.07 and 3.038. - Compare the hundredths place for 3.07 and 3.038: 3.07 (7), 3.038 (3). The smallest hundredths digit is 3. Therefore, 3.038 is the smallest decimal.

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

(3) ∠c. A right angle is 90°. An angle greater than a right angle is an obtuse angle. Visually inspecting the angles in the given quadrilateral: - ∠a appears to be an acute angle (less than 90°). - ∠b appears to be an acute angle (less than 90°). - ∠c appears to be an obtuse angle (greater than 90°). - ∠d appears to be an acute angle (less than 90°). Thus, ∠c is greater than a right angle.

Q: Laura clocked 6804 steps on Friday. She clocked 2 times as many steps on Saturday as on Friday. How many steps did she clock on both days?

(4) 20 412. Steps on Friday = 6804. Steps on Saturday = 2 × 6804 = 13608. Total steps on both days = Steps on Friday + Steps on Saturday = 6804 + 13608 = 20412.

Q: Square S and rectangle R have the same perimeter. Find the length of each side of square S.

(2) 12 cm. First, calculate the perimeter of rectangle R: Length of R = 19 cm, Width of R = 5 cm. Perimeter of R = 2 × (Length + Width) = 2 × (19 cm + 5 cm) = 2 × 24 cm = 48 cm. Since Square S has the same perimeter as Rectangle R, the perimeter of S = 48 cm. For a square, Perimeter = 4 × Side. So, Side of S = Perimeter of S ÷ 4 = 48 cm ÷ 4 = 12 cm.

Q: The total mass of a papaya and a durian is 8.2 kg. The total mass of the papaya and a watermelon is 11.4 kg. The watermelon weighs 3 times as heavy as the papaya. What is the mass of the durian?

(3) 5.35 kg. Let P be the mass of the papaya, D be the mass of the durian, and W be the mass of the watermelon. 1) P + D = 8.2 kg 2) P + W = 11.4 kg 3) W = 3P Substitute (3) into (2): P + 3P = 11.4 kg => 4P = 11.4 kg => P = 11.4 ÷ 4 = 2.85 kg. Now substitute P = 2.85 kg into (1): 2.85 kg + D = 8.2 kg => D = 8.2 kg - 2.85 kg = 5.35 kg. The mass of the durian is 5.35 kg.

Q: At an animal shelter, there were dogs, cats and rabbits. 1/3 of the animals were dogs. There were 38 more cats than dogs. The remaining 56 animals were rabbits. How many animals were there altogether?

(1) 282. Let the total number of animals be T. Dogs = (1/3)T. Cats = Dogs + 38 = (1/3)T + 38. Rabbits = 56. The total number of animals is the sum of dogs, cats, and rabbits: T = Dogs + Cats + Rabbits T = (1/3)T + ((1/3)T + 38) + 56 T = (2/3)T + 94 Subtract (2/3)T from both sides: T - (2/3)T = 94 (1/3)T = 94 T = 94 × 3 = 282. There were 282 animals altogether.

Q1 Structured 4 marks

A tailor had 500 buttons. He sewed 7 buttons on each shirt and had 248 buttons left. (a) How many buttons did he use? (b) How many shirts did he sew the buttons on?

Q1 MCQ 2 marks

30 000+4000+200+8=

Q2 Structured 4 marks

Tom had 4730 marbles and Muthu had 1240 marbles at first. Tom gave some marbles to Muthu so that Muthu would have twice as many marbles as Tom in the end. How many marbles did Tom give Muthu?

Q2 MCQ 2 marks

Which of the following is a multiple of 6?

Q3 Structured 4 marks

The bar graph shows the amount of rainfall recorded at the end of each month from September 2022 to February 2023. Each of the statements below is either true, false or not possible to tell based on the information given in the graph. For each statement, put a tick (✔) to indicate your answer. (a) December was the wettest month. (b) The amount of rainfall recorded in September and January was the same. (c) The difference in the amount of rainfall recorded was the smallest between November and December. (d) The amount of rainfall recorded for March 2023 will be higher than February 2023.

Q3 MCQ 2 marks

1/3 + 1/9 =

Q4 Structured 4 marks

The mass of a wooden vase is 3.3 kg. The mass of a glass vase is 4.05 kg. What is the total mass of 3 identical wooden vases and 3 identical glass vases? Give your answer to the nearest kilogram.

Q4 MCQ 2 marks

The digit 8 in 9.283 stands for 8

Q5 MCQ 2 marks

Which of the following decimals is the smallest?

Q5 Structured 4 marks

The table below shows the departure times from Singapore to Penang and Kuala Lumpur as well as their arrival times. (a) How long is the flight from Singapore to Penang? Give your answer in h and min. (b) Mr Bala took SP 246 to Kuala Lumpur. His flight was delayed for 45 minutes. At what time did Mr Bala finally arrive in Kuala Lumpur? Leave your answer in 24-hour clock.

Q6 Structured 4 marks

A newly opened chicken stall had a promotion. For every chicken bought, the second chicken was sold at half price. Mrs Dee bought 4 chickens. (a) How much did she pay? (b) At the end of the day, the stall collected $440. There were two $100 notes, three $50 notes and some $10 notes. How many $10 notes were there?

Q6 MCQ 2 marks

In the figure, which angle is greater than a right angle?

Q7 MCQ 2 marks

Laura clocked 6804 steps on Friday. She clocked 2 times as many steps on Saturday as on Friday. How many steps did she clock on both days?

Q7 Structured 4 marks

The figure below is made up of square X and 2 rectangles, Y and Z. Find the area of Z.

Q8 Structured 4 marks

There are some people attending a carnival, 3/5 of them are children, 1/6 of them are men and the rest are women. There are 42 more women than men at the carnival. How many people are at the carnival?

Q8 MCQ 2 marks

Square S and rectangle R have the same perimeter. Find the length of each side of square S.

Q9 Structured 4 marks

A group of 3 adults and 5 children bought tickets to watch a concert. Each adult ticket cost $7 more than each child ticket. The group paid a total of $125. What was the cost of each adult ticket?

Q9 MCQ 2 marks

The total mass of a papaya and a durian is 8.2 kg. The total mass of the papaya and a watermelon is 11.4 kg. The watermelon weighs 3 times as heavy as the papaya. What is the mass of the durian?

Q10 Structured 4 marks

A curry puff cost $3 and a hotdog cost $4. Miss-Gaya spent a total of $238 on 70 curry puffs and hotdogs. How many hotdogs did she buy?

Q10 MCQ 2 marks

At an animal shelter, there were dogs, cats and rabbits. 1/3 of the animals were dogs. There were 38 more cats than dogs. The remaining 56 animals were rabbits. How many animals were there altogether?

Q11 Open-ended 2 marks

Round 2818 to the nearest ten.

Q12 Open-ended 2 marks

Write the missing number in the number pattern below. 17000, 16 100, 15 200, 14 300, ____, 12 500

Q13 Open-ended 2 marks

Find the value of 1 - 1/4 - 1/8

Q15 Open-ended 2 marks

Find the value of 8.27 x 9.

Q16 Open-ended 2 marks

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

Q17 Open-ended 2 marks

Write 29/4 as a mixed number.

Q18 Open-ended 2 marks

Arrange the following fractions from the smallest to the greatest. 7/11, 1/2, 10/11

Q19 Open-ended 2 marks

Write the decimal represented by A.

Q20 Open-ended 2 marks

What is the area of the figure below?

Q21 Open-ended 2 marks

The figure shown is made up of square A and 2 identical rectangles, X and Y. The area of the square is 49 cm². Find the perimeter of the figure.

Q22 Open-ended 2 marks

Find the sum of all the common factors of 30 and 54.

Q23 Structured 2 marks

Mr Tan used 21 L 75 ml of petrol in the first week. He used 3 L 25 ml more petrol In the second week. He used the same amount of petrol in the second and third week. How much petrol did he use in the 3 weeks? Express your answer in litres and millilitres.

Q24 Open-ended 2 marks

After making a 1/4 turn in an anti-clockwise direction, Sarah makes a 270° clockwise turn and is now facing north. Which direction was she facing at first?

Q25 Structured 2 marks

Study the figures below, In each box ____, put a tick (✔) if the figure is symmetric and a cross (X) If it is not symmetric.

Q26 Structured 2 marks

Complete the table to show the information in the line graph.

Q27 Open-ended 2 marks

What was the difference in temperature between the lowest and highest temperature on that day?

Q28 Structured 2 marks

Harry planted 10 seedlings in a row. The seedlings were planted at the same distance apart. The distance between the second and the fifth seedling was 125.4 m. What was the distance between the first and the tenth seedling?

Q29 Structured 2 marks

3 files and 3 pens cost $32.10. I paid $40 for 4 such files and 3 such pens. Find the cost of 3 pens.

Q30 Open-ended 2 marks

I am a 4-digit even number. The sum of the digits is 14. I am 2250 when rounded to the nearest 10. What number am I?

P4 Mathematics SA2 2023 — Tao Nan

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