P4 Mathematics SA1 2023 — Nan Hua | Singapore Past Year Paper

Q: Which of the following is seventy thousand, three hundred and forty in numerals?

C. 70 340. Seventy thousand = 70 000, three hundred = 300, forty = 40. Adding gives 70 340.

Q: Arrange the following number from the largest to the smallest. 42 182, 42 281, 41 822

B. 42 281 , 42 182 , 41 822. Compare ten-thousands and thousands: 42 281 > 42 182 > 41 822. Largest to smallest is 42 281, 42 182, 41 822.

Q: In the following number pattern, what is the missing number? 21 978, ______, 21 778, 21 678, 21 578

D. 21 878. The pattern decreases by 100 each step. 21 978 − 100 = 21 878.

Q: Which of the following numbers when rounded to the nearest hundred becomes 49 000?

B. 48 965. 48 875 → 48 900; 48 965 → 49 000; 49 099 → 49 100; 49 144 → 49 100. Only 48 965 rounds to 49 000.

Q: Which of the following is a factor of both 12 and 28?

D. 4. Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 28: 1, 2, 4, 7, 14, 28. Common factor among the choices is 4.

Q: Which of the following is a multiple of both 4 and 6?

B. 12. LCM of 4 and 6 is 12. Among the options, 12 is the only multiple of both 4 and 6.

Q: Peter stored 3425 boxes of masks in the warehouse. He sold 625 boxes masks on Monday and 2150 boxes of masks on Tuesday. How many boxes of masks is he left with?

D. 650. 3425 − 625 − 2150 = 650 boxes remaining.

Q: The sum of two numbers is 75. One of the numbers is a multiple of 8. The other number is a factor of 21. What is the difference between the 2 numbers?

B. 69. Multiples of 8 ≤ 75: 8, 16, 24, 32, 40, 48, 56, 64, 72. Factors of 21: 1, 3, 7, 21. Pair summing to 75: 72 + 3. Difference = 72 − 3 = 69.

Q: 3 2/5 = □/5 What is the missing number in the box?

C. 17. 3 2/5 = (3 × 5 + 2)/5 = 17/5, so the missing number is 17.

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

C. 3/8. Counting identical triangles: 3 out of every 8 are shaded, giving 3/8.

Q1 MCQ 1 mark

Which of the following is seventy thousand, three hundred and forty in numerals?

Q2 MCQ 1 mark

Arrange the following number from the largest to the smallest. 42 182, 42 281, 41 822

Q3 MCQ 1 mark

In the following number pattern, what is the missing number? 21 978, ______, 21 778, 21 678, 21 578

Q4 MCQ 1 mark

Which of the following numbers when rounded to the nearest hundred becomes 49 000?

Q5 MCQ 1 mark

Which of the following is a factor of both 12 and 28?

Q6 MCQ 1 mark

Which of the following is a multiple of both 4 and 6?

Q7 MCQ 2 marks

Peter stored 3425 boxes of masks in the warehouse. He sold 625 boxes masks on Monday and 2150 boxes of masks on Tuesday. How many boxes of masks is he left with?

Q8 MCQ 2 marks

The sum of two numbers is 75. One of the numbers is a multiple of 8. The other number is a factor of 21. What is the difference between the 2 numbers?

Q9 Structured 2 marks

A number is 5800 when rounded to the nearest hundred. What are the smallest and greatest possible numbers? (a) Smallest (b) Greatest

Q10 Open-ended 2 marks

There are 2400 red and blue stickers in a shop. The number of red stickers is three times as many as the number of blue stickers. How many blue stickers are there?

Q11 Open-ended 2 marks

Mr Tan bought 125 boxes of chocolates. Each box contained 28 chocolates. How many chocolates did Mr Tan buy in total?

Q12 Open-ended 2 marks

Mr Lim bought a bag of candies for his students. If he gives each student 6 candies, he will not have any candies left. If he gives each student 8 candies, he will be short of 6 candies. How many students did he have?

Q13 Open-ended 3 marks

Three ovens and two printers cost $2300. A printer cost $80 more than an oven. What is the cost of an oven?

Q14 Structured 4 marks

John had twice as much money as Ken. After John spent $1064, Ken had four times as much money as John. (a) How much money did John have in the end? (b) How much money did the both of them have at first?

Q15 MCQ 1 mark

3 2/5 = □/5 What is the missing number in the box?

Q16 MCQ 1 mark 🖼 Visual

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

Q17 MCQ 1 mark 🖼 Visual

In the number line, what is the mixed number represented by A?

Q18 MCQ 1 mark

Find the value of 7/8 − 1/4

Q19 MCQ 1 mark

Find the value of 1/3 + 2/9 + 7/9

Q20 MCQ 1 mark 🖼 Visual

What is the size of ∠XYZ?

Q21 MCQ 2 marks

Arrange the following fractions from the smallest to the greatest. 1 1/4 , 12/11 , 1 1/8

Q22 MCQ 2 marks

Jane had 6 cakes. She gave 1/2 of a cake to her sister and 1/3 of a cake to her brother. How many cakes had she left?

Q23 Structured 2 marks 🖼 Visual

ABCD is a rectangle. ∠DBC = 70°. (a) Find the length of DC. (b) Find ∠ABD.

Q24 Open-ended 2 marks 🖼 Visual

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

Q25 Open-ended 2 marks

Emma has 24 apples and oranges. 3/8 of the fruits are apples. How many more oranges than apples does Emma have?

Q26 Open-ended 2 marks 🖼 Visual

Simon was standing at Point X. After making a 135° anticlockwise turn, he ended up facing the MRT Station. Where was he facing at first?

Q27 Structured 4 marks

Amy has 3/5 kg of sugar. Bala has 1/3 kg of sugar more than Amy. (a) How much sugar does Bala have? Express your answer in its simplest form. (b) How much sugar do they have altogether? Express your answer in its simplest form.

Q28 Open-ended 3 marks

1/3 of a bottle was filled with orange juice. After John poured in another 600 ml of orange juice, it became 5/9 full. How much orange juice can the bottle hold when it is completely full? Give your answer in millilitres.

Q29 MCQ 1 mark

Arrange the following decimals in decreasing order. 7.051, 7.101, 7.011, 7.105

Q30 MCQ 1 mark

Round 38.695 to the nearest tenth.

Q31 MCQ 1 mark

Express 5 9/25 as a decimal.

Q32 MCQ 1 mark

Express 2.003 as a fraction.

Q33 MCQ 1 mark

What is the missing number in the box? 8.175 = 8 + 0.1 + ____ + 0.005

Q34 MCQ 1 mark

3.46 is 0.1 more than ____.

Q35 MCQ 2 marks

A pen cost $2.60. Diana bought two pens and gave the cashier $10. How much change did she get?

Q36 MCQ 2 marks

The total length of one yellow ribbon and one green ribbon is 8.7 m. Each yellow ribbon is twice as long as the green ribbon. What is the length of the yellow ribbon?

Q37 Open-ended 2 marks 🖼 Visual

Find the length of the rectangle given its perimeter.

Q38 Open-ended 2 marks 🖼 Visual

The area of the square is twice the area of the rectangle. Find the length of one side of the square.

Q39 Open-ended 2 marks

In a long jump competition, Aaron and Benson jumped the same distance while Caleb jumped 0.18 m more than Aaron. If the three boys jumped a total distance 4.56 m, how far did Aaron jump?

Q40 Open-ended 2 marks 🖼 Visual

The price of apples sold in a shop is as follows: One apple costs $0.90. A pack of five apples costs $3.75. Alice wants to buy 12 apples. What is the least amount of money she has to pay?

Q41 Open-ended 3 marks

A dress and five identical T-shirts cost $132.50. A dress and two of the identical T-shirts cost $75.80. What is the cost of one T-shirt?

Q42 Structured 4 marks 🖼 Visual

Museum of Ice Cream. Entrance fees: Adult $28.90; Child (12 years old and below) $? Weekend Family Package: Two adults $55; First two children $15.90 each; Additional child $12 each. (a) Mrs Lim brought her two children under the age of 12 to the Museum of Ice Cream on Wednesday. She paid $61.90 in total. What is the entrance fee for a child under 12 years old? (b) Mr and Mrs Tan brought their three children under the age of 12 to the Museum of Ice Cream on Saturday. How much did they pay for the entrance tickets altogether?

P4 Mathematics SA1 2023 — Nan Hua

Related papers