Q1
MCQ
1 mark
Find the value of 140 × 4000.
P6 Mathematics CA1 2018 — Nanyang
Source: Nanyang, 2018
This P6 Mathematics CA1 paper from Nanyang (2018) covers measurement, percentage, money, patterns and algebra, fractions and time across 47 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
Open-ended
2 marks
(Paper 2) Suhailah and Ramy went jogging at a park. Suhailah jogged 1 1/5 km and another 2 1/3 km after resting for some time. Ramy jogged 1 1/4 km less than the total distance that Suhailah jogged. How far did Ramy jog? Give your answer as a mixed number in the simplest form.
Q2
Open-ended
2 marks
(Paper 2) Susan had 3 ℓ of water. She drank 3/7 of it. How many litres of water did she drink?
Q2
MCQ
1 mark
Find the value of 7/10 − 1/4 + 1/10.
Q3
Open-ended
2 marks
(Paper 2) Six children took turns to sit on 2 swings from 2 p.m. to 2.45 p.m. At any time, 2 children sat on the swings while the other 4 children watched. Each of them spent the same amount of time sitting on the swing. How many minutes did each child sit on the swing?
Q3
MCQ
1 mark
Mr Suresh had 7/9 kg of sugar. He used 1/3 of it to bake some cookies. How much sugar did he use?
Q4
MCQ
1 mark
🖼 Visual
In the number line below, what is the value indicated by the arrow?
Q4
Open-ended
2 marks
(Paper 2) The usual price of a pair of shoes was $180. Sally bought it at a 25% discount during a sale. How much did she pay for the pair of shoes after discount?
Q5
MCQ
1 mark
7/8 of a cake was shared equally among 6 people. What fraction of the cake did each person receive?
Q5
Open-ended
2 marks
🖼 Visual
(Paper 2) The table below shows the ages of 4 children. Whose age is the closest to the average age of the 4 children? (Alicia 7, Bernice 9, Chris 13, Danny 10)
Q6
Open-ended
3 marks
(Paper 2) The thickness of a dictionary was 1/8 of the height of a table. The height of 3 such tables when stacked on top of one another was 21/8 m. What is the total thickness of 2 such dictionaries?
Q6
MCQ
1 mark
Find the value of 0.1 ÷ 100.
Q7
Open-ended
3 marks
(Paper 2) At a pet shop, 1/4 of the animals were cats, 45% of the animals were dogs, 18% of the animals were rabbits and the rest were hamsters. There were 24 hamsters. How many animals were there at the pet shop?
Q7
MCQ
1 mark
Express 2045 cm in m.
Q8
Open-ended
3 marks
(Paper 2) A machine could produce 120 000 boxes of chocolates in 6 hours. After the machine was improved and upgraded, the machine can now produce 9000 more boxes of chocolates in every 2 hours. At this new rate, how many boxes of chocolates does the machine produce in one hour?
Q8
MCQ
1 mark
There are 50 pupils in a class. 32 of them are boys. What percentage of the pupils are boys?
Q9
MCQ
1 mark
Simplify 24q − 8q + 3q.
Q9
Open-ended
3 marks
(Paper 2) A tank measuring 35 cm long and 25 cm wide was filled with water to a height of 0.18 m. When 2.6 ℓ of water was added into the tank, 850 ml of water overflowed from the tank. What was the capacity of the tank?
Q10
MCQ
1 mark
🖼 Visual
Which of the following is likely to be the mass of a 15-cm plastic ruler?
Q10
Structured
3 marks
(Paper 2) Mr Chua bought 3 identical pairs of socks and less than 5 identical pairs of shoes. The total cost of the socks was $75 and the average price of all the items that he had bought was $78.60. The total amount that he had spent on the shoes was a whole number in dollars. (a) How many pairs of shoes did he buy? (b) What was the average price of the shoes?
Q11
Open-ended
4 marks
(Paper 2) Wei Yan had some marbles at first. He gave 3/8 of them to his friends and 5/7 of the remaining marbles to his brother. His cousin then gave him 408 marbles. In the end, he had twice as many marbles as he had at first. How many marbles did Wei Yan have at first?
Q11
MCQ
2 marks
🖼 Visual
Look at the pattern below. Find the sum of the two missing numbers.
Q12
Open-ended
4 marks
(Paper 2) At a concert, 45% of the people were adults and 1/5 of the remaining people were girls. There were 660 more boys than girls. How many people were at the concert?
Q12
MCQ
2 marks
Sam was given some ribbon to tie 2 parcels. He used 7/8 m of ribbon to tie the first parcel. The length of ribbon used for the second parcel was twice the length of ribbon used for the first parcel. How many metres of ribbon did he use in all?
Q13
Open-ended
4 marks
(Paper 2) A baker baked 300 cookies. 60% of the cookies baked were chocolate chip cookies and the rest were lychee cookies. Some of the chocolate chip cookies were sold and now the percentage of the chocolate chip cookies decreased to 40% of the remaining cookies. How many chocolate chip cookies were sold?
Q13
MCQ
2 marks
In a music store, 250 CDs were sold in January. In February, 150 CDs were sold. What was the percentage decrease in the sale of the CDs?
Q14
MCQ
2 marks
🖼 Visual
The solid below is built with 2 cm cubes. How many more such cubes must be added to form a bigger solid measuring 8 cm by 8 cm by 8 cm?
Q14
Structured
4 marks
(Paper 2) Amy had $10y. She had $24 less than Cindy. Linda had half as much as Amy. They bought a present which cost $(4y+5) for their friend. (a) How much did they have altogether at first? Give your answer in terms of y in the simplest form. (b) If y = 7, how much did they have left in total after buying the present?
Q15
MCQ
2 marks
🖼 Visual
The total number of children in Tennis, Chess, Drama Club and Scouts was 200. The table shows Tennis = 45, Chess = 60, Drama Club = 50 and Scouts = ?. Which bar graph best represents the information in the table?
Q15
Structured
4 marks
🖼 Visual
(Paper 2) In the figure, ABGF is a rhombus, BCDG is a parallelogram and BDEF is a trapezium. ABC and FGD are straight lines and BD is parallel to FE. ∠AFB = 27°, ∠CBD = 25° and ∠GDE = 83°. (a) Find ∠DBG. (b) Find ∠DEF.
Q16
Structured
5 marks
🖼 Visual
(Paper 2) The table below shows the number of pupils who are left-handed in a school. The number of pupils who are right-handed is not shown. The ratio of the number of boys who are left-handed to the number of boys who are right-handed is 2 : 33. (Boys left-handed 48, Girls left-handed 42.) (a) How many boys are right-handed? (b) 95% of the pupils are right-handed. What is the ratio of the number of girls to the number of boys to the total number of pupils? Give your answer in the simplest form. (c) Some girls are then transferred into the school from another school. Did the percentage of boys who are right-handed increase, decrease or remain the same compared to the total number of pupils?
Q16
Open-ended
1 mark
Find the value of 70 ÷ (6 + 8 ÷ 2) + 5.
Q17
Open-ended
1 mark
A shopkeeper filled some empty bottles with 24 ℓ of barley drink. He filled each bottle with 2/3 ℓ of barley drink. How many bottles did he fill?
Q17
Structured
5 marks
🖼 Visual
(Paper 2) Mrs Lau had some cloth which she had cut into identical right-angled isosceles triangles. Each triangular piece of cloth had an area of 36 cm². She then sewed these triangles onto the square piece of cloth as shown below. She continued to sew these triangular pieces of cloth onto the square piece of cloth without any overlaps. No part of any of the triangular piece of cloth was outside of the square piece of cloth. (a) How many of such triangular pieces of cloth did she sew to cover 1 face of the square piece of cloth completely? (b) What is the perimeter of the square piece of cloth?
Q18
Open-ended
1 mark
Andrew had $280. He spent 40% of it on a watch. How much did he spend on the watch?
Q19
Open-ended
1 mark
Find the missing value in the equation. 42 ÷ ____ = 6
Q20
Open-ended
1 mark
Find the value of (12 + 3n)/2 when n = 6.
Q21
Open-ended
2 marks
At first, Josh and May had some marbles each. After Josh gave 1/4 of his marbles to May, May had 3 times as many marbles as him. May then gave Josh 12 marbles. In the end, each of them had an equal number of marbles. How many marbles did May have at first?
Q22
Open-ended
2 marks
How many ways can the digits 2, 3, 5 and 0 be arranged into 4-digit numbers that are multiples of 5? For each number, each digit can only be used once.
Q23
Open-ended
2 marks
Mrs Cheng wants to pack 3/4 kg of flour into small packets. Each small packet contains 1/5 kg of flour. At most, how many of such small packets of flour can she pack?
Q24
Structured
2 marks
🖼 Visual
Joanne bought 40 chocolate tarts, some cheese tarts and some blueberry tarts for her party. Each tart cost $2 and she paid $200 for all the tarts. Everyone in the party took 2 tarts each and there were no tarts left. Each statement below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column. Statement 1: There were 50 people at the party. Statement 2: Joanne bought 6 times as many cheese tarts as blueberry tarts.
Q25
Open-ended
2 marks
A file cost $1.20 more than a notebook. A pen cost twice as much as the file. The total cost of the three items was $11.60. What was the cost of the file?
Q26
Open-ended
2 marks
Thana had some hairclips. 25% of Thana's hairclips were blue. She had 10 blue hairclips. How many hairclips did she have altogether?
Q27
Open-ended
2 marks
The monthly salary of Mr Gill is the same each month. In November, Mr Gill spent $1600 of his monthly salary and saved the rest. In December, he increased his spending by 30% and his savings decreased by 50%. How much did he save in November?
Q28
Open-ended
2 marks
The cost of 3 identical watches and 4 identical belts is $371. The cost of 3 such watches and 2 such belts is $298. What is the cost of 1 such belt?
Q29
Open-ended
2 marks
The mass of a pineapple is f kg. The mass of a durian is twice as heavy as the pineapple. The mass of a watermelon is 3 kg more than the mass of the durian. What is the mass of the watermelon? Give your answer in terms of f in the simplest form.
Q30
Open-ended
2 marks
Mrs Lim had d m of cloth. She used 2 m to sew a blouse. She used the remaining cloth to sew 4 identical dresses. If Mrs Lim had 22 m of cloth, find the length of cloth she used to make 1 dress.