Q1
MCQ
1 mark
Find the value of 16.4 − 7.16.
P6 Mathematics CA1 2017 — Nanyang
Source: Nanyang, 2017
This P6 Mathematics CA1 paper from Nanyang (2017) covers patterns and algebra, percentage, measurement, money, fractions and geometry and angles across 48 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
Structured
2 marks
Paper 2, Question 1: The mass of a cow is 354 kg. The cow is 8 times as heavy as a sheep. Find the mass of the sheep. Give your answer as a decimal in kilograms.
Q2
Structured
2 marks
🖼 Visual
Paper 2, Question 2: The figure below shows an isosceles triangle. Find its perimeter.
Q2
MCQ
1 mark
Find the value of 24 + 21 ÷ (7 − 4) × 5.
Q3
Structured
2 marks
Paper 2, Question 3: The price of a television set before GST was $2990. Mr Toh bought the television set and had to pay an additional 7% GST. What was the amount of GST he had to pay?
Q3
MCQ
1 mark
How many thousands are there in the product of 7000 and 40?
Q4
MCQ
1 mark
Find the value of 3/5 + 6/7.
Q4
Structured
2 marks
Paper 2, Question 4: The average of five consecutive numbers is 700. Find the value of the smallest number.
Q5
Structured
2 marks
Paper 2, Question 5: Peiqi had some cards. She could place them into sets of 4 cards or sets of 6 cards without leaving any remainder. When she placed them into sets of 7 cards instead, she needed one more card to make the last set of 7. What was the smallest possible number of cards she had?
Q5
MCQ
1 mark
Find the value of 7/4 × 14.
Q6
Structured
3 marks
🖼 Visual
Paper 2, Question 6: Jingwei bought three fruits from the supermarket. The table below shows the mass of each fruit he bought.
(a) Find the total mass of the three fruits he bought.
(b) Round off the mass of the watermelon, in kg, to 1 decimal place.
Q6
MCQ
1 mark
Which one of the following fractions is not an equivalent fraction of 4/10?
Q7
Structured
3 marks
Paper 2, Question 7: A rectangle has a length measuring 8 3/4 cm. Its breadth is 2 1/6 cm shorter than its length.
(a) Find the breadth of the rectangle.
(b) Find the area of the rectangle.
Q7
MCQ
1 mark
Simplify the following algebraic expression.
8 + 3k × 6 − 1
Q8
MCQ
1 mark
The total mass of 3 pears is 300 g and the total mass of 5 apples is 700 g. What is the average mass of the fruits?
Q8
Structured
3 marks
Paper 2, Question 8: Lisa, Mei and Nurul shared $n. Nurul received 4 times as much money as Lisa. Mei received $24 less than Nurul.
(a) How much money did Lisa receive in terms of n?
(b) If n = 93, how much money did Lisa receive?
Q9
MCQ
1 mark
In a class of 40 pupils, 30 of them were girls. What percentage of the class were girls?
Q9
Structured
3 marks
Paper 2, Question 9: Mr Ong earns the same amount of money each month. In May, he spent $2000 and saved the rest. In June, he spent 10% more and the amount saved decreased by 25%.
(a) How much more did Mr Ong spend in June?
(b) How much does Mr Ong earn each month?
Q10
MCQ
1 mark
A nylon rope is 6/7 m long. It is cut into 12 equal pieces. What is the length of each piece?
Q10
Structured
3 marks
Paper 2, Question 10: Coen has 252 candies, Devi has 304 candies and Rashid has 182 candies. What is the total number of candies that Rashid must receive from Coen and Devi so that each of them will have the same number of candies?
Q11
Structured
4 marks
Paper 2, Question 11: Tarts are sold in boxes of 4 tarts or in boxes of 12 tarts. Each box of 4 tarts is sold at $10.90 while each box of 12 tarts is sold at $32. Melissa has $250. How many tarts can she buy at most?
Q11
MCQ
2 marks
The capacity of 40 identical cups is 12.08 l. What is the capacity of 1 such cup?
Q12
Structured
4 marks
Paper 2, Question 12: Joyce and Kaylene had some stickers. The number of stickers Joyce had was 4/5 of what Kaylene had. Joyce then gave 5/8 of her stickers to Kaylene. As a result, Kaylene had 108 more stickers than Joyce. How many stickers did Joyce have at first?
Q12
MCQ
2 marks
The average of two numbers is 530. One of the numbers is 250. Find the other number.
Q13
MCQ
2 marks
Arrange the following fractions from the largest to the smallest.
6/5 , 1 1/4 , 1 5/6 , 5/3
Q13
Structured
4 marks
🖼 Visual
Paper 2, Question 13: The figure below shows Rectangle A of length 16 cm and breadth 10 cm. The length of the rectangle is increased by 50% and its breadth is increased by 20% to form a new rectangle. What is the percentage increase in its area?
Q14
MCQ
2 marks
There were 16 tables in a room at first. 4 tables were then added into the room. Find the percentage increase in the number of tables in the room.
Q14
Structured
4 marks
Paper 2, Question 14: Hassan bought some keychains and some magnets. Each keychain cost $2.65 and each magnet cost $3.35. Hassan bought 7 fewer magnets than keychains. He spent a total of $108.55. How many keychains and magnets did he buy altogether?
Q15
MCQ
2 marks
Nathan had 95 concert tickets. He gave 5 concert tickets to each of his friends and had 25 concert tickets left. How many friends did he give his concert tickets to?
Q15
Structured
4 marks
🖼 Visual
Paper 2, Question 15: A table is filled with numbers in a certain pattern.
(a) What number will appear in Row 30 Column A?
(b) What number will appear in Row 30 Column B?
(c) In which row will the number 1088 appear?
Q16
Open-ended
1 mark
Find the value of (5m + 58)/4 when m = 6.
Q16
Structured
5 marks
🖼 Visual
Paper 2, Question 16: Toyoyo Shop sold a total of 180 storage drawers with three, four or five tiers. There were 682 tiers for all these storage drawers. The total number of the three-tiered and four-tiered storage drawers was thrice the number of the five-tiered storage drawers.
(a) How many five-tiered storage drawers were there?
(b) How many three-tiered storage drawers were there?
Q17
Structured
5 marks
Paper 2, Question 17: There were two types of fish in a pond. The number of catfish was 3/7 of the number of goldfish. When 21 goldfish and some catfish were added into the pond, there was a 15% increase in the number of goldfish and the number of fish in the pond was increased by 35%.
(a) How many catfish were there at first?
(b) How many catfish were added into the pond?
Q17
Open-ended
1 mark
Find the missing number in the box.
[ ? ] ÷ 4 − 16 = 64
Q18
Structured
5 marks
Paper 2, Question 18: A shop owner paid a total of $5504 for some shirts and some ties. He paid $128 less for the shirts than the ties. Each tie cost $16 more than each shirt. The number of ties bought was 2/3 of the number of shirts bought.
(a) How much did he pay for all the shirts?
(b) How many shirts did he buy?
Q18
Open-ended
1 mark
Find the value of 40.56 ÷ 8.
Q19
Open-ended
1 mark
Express 3021 thousandths as a decimal.
Q20
Open-ended
1 mark
Find the product of 5/12 and 3/10. Leave your answer in its simplest form.
Q21
Open-ended
1 mark
Find the value of 9 ÷ 6/7. Leave your answer as a mixed number in its simplest form.
Q22
Open-ended
1 mark
Happy Bakery sold 159 345 buns last month. Round off this number to the nearest hundred.
Q23
Open-ended
1 mark
Joseph completed a race in 1 3/4 min. He was 14 s faster than Ian. How long did Ian take to complete the race?
Q24
Open-ended
1 mark
Reuben and Jayson shared a total of 40 cookies. Jayson received 20% of the cookies. How many cookies did Jayson receive?
Q25
Open-ended
1 mark
After reading 60% of his storybook, Arif had 36 more pages to read. How many pages were there in the storybook?
Q26
Structured
2 marks
Devi packed 2/3 kg of salt into small packets. Each packet contained 1/9 kg of salt. How many small packets of salt were there?
Q27
Structured
2 marks
🖼 Visual
The table below shows the marks Zhi Ming scored for various subjects in an examination. Each subject had a maximum score of 100 marks.
How many percent of the total marks did Zhi Ming score in the examination?
Q28
Structured
2 marks
The average of six numbers is 18. When a 7th number is added, the total of the seven numbers becomes 118. What is the 7th number?
Q29
Structured
2 marks
Yumin had 11h pens. She wanted to give her nephews 4 pens each, but found out that she was 2h pens short. Express the number of nephews Yumin had in terms of h.
Q30
Structured
2 marks
🖼 Visual
Michael has some fifty-cent coins. He uses 12 fifty-cent coins and arranges them to form the outline of a small square as shown in the figure below.
He uses 76 fifty-cent coins and arranges them in the same way to form the outline of another bigger square. Find the total value of the coins on one side of the bigger square.