Q1
MCQ
1 mark
Simplify 8a + 17 - 3a - 12.
P6 Mathematics CA1 2016 — Nanyang
Source: Nanyang, 2016
This P6 Mathematics CA1 paper from Nanyang (2016) covers patterns and algebra, percentage, money, measurement, fractions and average, rate and speed 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.
Q2
MCQ
1 mark
What is the value of 200 ÷ 2000?
Q3
MCQ
1 mark
What is the value of 49 - 9 × 2 + (16 + 24 ÷ 8)?
Q4
MCQ
1 mark
Which one of the following fractions is an equivalent fraction of 8/6?
Q5
MCQ
1 mark
Find the value of 2/5 - 1/3.
Q6
MCQ
1 mark
Find the value of 5/9 × 4.
Q7
MCQ
1 mark
Find the value of 60.9 - 4.38.
Q8
MCQ
1 mark
Express $28 as a percentage of $7000.
Q9
MCQ
1 mark
Find the average of the following numbers.
45 , 0 , 45 , 38 , 12
Q10
MCQ
1 mark
A bottle contained 2/9 litre of syrup. All the syrup was poured equally into 3 empty cups. How much syrup was there in each cup?
Q11
MCQ
2 marks
Find the value of 16 ÷ 40 × 200.
Q12
MCQ
2 marks
🖼 Visual
The table below shows the marks obtained by 4 pupils in Test 1 and 2.
Which pupil has her marks increased by 25% in Test 2 as compared to Test 1?
Q13
MCQ
2 marks
Nasreen and Kavita baked 4 cakes each. 1 1/12 kg of flour was used for baking each cake. What was the total mass of flour used by both girls?
Q14
MCQ
2 marks
Ronin bought 3 green and 6 red apples. The average mass of the 9 apples was 80 g. The average mass of the 3 green apples was 60 g. Find the total mass of the 6 red apples.
Q15
MCQ
2 marks
P and Q are whole numbers. P is the product of all the common factors of 12 and 20. Q is the first common multiple of 3 and 8. What is the value of Q ÷ P?
Q16
Open-ended
1 mark
Find the value of 10m - 4m/2 when m = 5.
Q17
Open-ended
1 mark
Find the value of 99 × 6 + 105 ÷ 5.
Q18
Open-ended
1 mark
Round off 49 985 to the nearest thousand.
Q19
Open-ended
1 mark
Find the value of 9/10 × 5/12. Give your answer as a fraction in its simplest form.
Q20
Open-ended
1 mark
Find the value of 42 ÷ 4/7. Give your answer as a mixed number in its simplest form.
Q21
Open-ended
1 mark
Which digit in 456.789 is in the tenths place?
Q22
Open-ended
1 mark
Find the value of 540.09 ÷ 3.
Q23
Open-ended
1 mark
X is a whole number. 743 is added to X to get 5092. What is the value of X?
Q24
Open-ended
1 mark
There were 600 men and 200 women who took part in a marathon. What percentage of these participants were men?
Q25
Open-ended
1 mark
Samad bought a tank. 25% of the capacity of the tank is 350 cm³. What is the capacity of the tank?
Q26
Open-ended
2 marks
On a Sunday, Mrs Pang spent 50% of her time at home doing housework. She spent 20% of the remaining time at home baking a cake. She spent 5 h doing housework. How much time did she spend on baking the cake?
Q27
Open-ended
2 marks
A jug weighs 2/3 as heavy as a tank. The tank weighs w kg heavier than the jug. What is the total mass of the jug and the tank in terms of w?
Q28
Open-ended
2 marks
The average mass of Darren and Elvin is 40 kg. The average mass of Darren and Fandi is 36 kg. Find the difference between the mass of Elvin and Fandi.
Q29
Open-ended
2 marks
2/3 of a whole number is 20 more than 2/5 of the same number. Find the number.
Q30
Open-ended
2 marks
One woman can peel 2 apples in 3 minutes. How many apples can 2 women peel in 30 minutes?
Q31
Open-ended
2 marks
The usual price of a pair of earrings was $1000. Mrs Lee bought it at a discounted price of $860. What was the percentage discount?
Q32
Open-ended
2 marks
Mr Lim sold 27 1/8 kg of meat on Monday. He sold 3/4 kg less meat on Tuesday than on Monday. How many kilograms of meat did he sell on Tuesday?
Q33
Open-ended
2 marks
Mei bought a ribbon that is 77 cm long. She cut the ribbon into two pieces such that the length of the longer piece is thrice the length of the shorter piece. Find the length of the shorter piece of ribbon.
Q34
Open-ended
2 marks
A wall measured 36/5 m by 15/8 m. 2/7 of the wall was painted yellow. Find the area of the wall that was painted yellow. Leave your answer as a mixed number.
Q35
Open-ended
2 marks
Leroy has some chocolates. He can choose to give 3 chocolates to each friend and he will have 25 chocolates left. He can also choose to give 9 chocolates to each friend and he will have 1 chocolate left. How many friends does he have?
Q36
Structured
3 marks
🖼 Visual
A group of 5 girls competed in a race. The time taken by each girl to complete the 200-metre race is shown in the table below.
(a) Round off the time taken, in seconds, by the fastest girl to one decimal place.
(b) Find the difference in the time taken by the girl who came in 3rd and the girl who came in 4th. Round off this difference to the nearest second.
Q37
Structured
3 marks
3 erasers cost $2q and 4 pencils cost $4 more than the cost of 3 erasers. Kumar bought 6 such erasers and 12 such pencils.
(a) If q = 0.6, what was the total cost of 3 such erasers and 4 such pencils?
(b) Express the total cost of 6 such erasers and 12 such pencils in terms of q.
Q38
Open-ended
3 marks
Weiming had some pens. He paid an average of 160¢ for the pens. He then bought another pen from a stationery store for 240¢ and the average cost of all the pens became 180¢. How many pens did he have at first?
Q39
Open-ended
3 marks
Mrs Tan bought an oven and was given a discount of 15%. Mr Wong bought the same type of oven but was given a discount of 29%. Mrs Tan paid $147 more than Mr Wong. The original price of the ovens was the same. What was the original price of the oven?
Q40
Open-ended
3 marks
Cindy had a box of fruits. A box contained some apples, oranges and pears. There were twice as many oranges as pears. There were 25 pears. She removed 5 pears and some oranges from the box. The number of oranges remained twice as many as the pears. The number of apples became three times as many as the oranges. What was the total number of fruits in the box at first?
Q41
Open-ended
4 marks
Mrs Lim bought 5 1/2 kg of nuts. She gave 5/6 of the nuts to her friends and packed the rest equally into as many small packets as possible. Each small packet contained 1/8 kg of nuts. What was the mass of the nuts that was left unpacked?
Q42
Structured
4 marks
Mr Muthu worked 40 hours in a certain week and earned a sum of money. He gave the entire sum of money to his 15 grandchildren to share equally among themselves. One of the grandchildren bought a toy car which cost $22.80 with his share of the money and had $47.60 left.
(a) How much did each grandchild receive?
(b) Given that Mr Muthu was paid a fixed salary for each hour of work, how much was his hourly pay?
Q43
Structured
4 marks
Nora bought some magnets and notebooks. She bought 2 more notebooks than magnets. However, she paid $25.20 less for the notebooks than for the magnets. Each magnet cost $2 more than each notebook. Each notebook cost $2.40.
(a) How many magnets did Nora buy?
(b) How many notebooks did Nora buy?
Q44
Open-ended
4 marks
At a fruit stall, Kim paid a total of $21.20 for 600 g of cherries and 500 g of blueberries. Lee paid a total of $9.20 for 200 g of cherries and 300 g of blueberries. Mel bought 300 g of cherries and 100 g of blueberries. How much did Mel pay?
Q45
Structured
4 marks
At first, the ratio of the number of men to the number of women in a fun fair was 4 : 5. When 36 women and some men joined in the fun fair, there was a 12% increase in the number of women and the total number of people was increased by 20%.
(a) How many men were there at first?
(b) What was the percentage increase in the number of men after 36 women and some men joined in the fun fair?
Q46
Structured
5 marks
Mr Raj gave 2/9 of his salary to his wife and paid $1040 for the household bills. After he gave 3/4 of the remaining salary to his five children to share equally, he had 1/7 of his salary left.
(a) Find Mr Raj's salary.
(b) Find the amount of money he had left.
Q47
Open-ended
5 marks
Amy and Sofia had a total of 450 stamps. Amy gave 40% of her stamps to Sofia. Sofia then gave 25% of her total number of stamps to Amy. In the end, Amy had 270 stamps. How many stamps did Amy have at first?
Q48
Structured
5 marks
At a 2-day workshop, each participant was charged $55 per day. On Day 1, the number of male participants was 60 fewer than the number of female participants. On Day 2, the number of female participants decreased by 20% while the male participants increased by 30%. There were 573 participants on Day 2.
(a) How many participants attended the workshop on Day 1?
(b) All participants were given a 10% discount. What was the total amount paid by all the participants on both days?