Q1
MCQ
1 mark
Simplify 8y − (6y ÷ 2) + 3.
P6 Mathematics CA1 2012 — Nanyang
Source: Nanyang, 2012
This P6 Mathematics CA1 paper from Nanyang (2012) covers money, measurement, percentage, patterns and algebra, average, rate and speed and fractions 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
Find the quotient when 100.3 is divided by 100.
Q3
MCQ
1 mark
Find the value of 65 + 5 × 2 − (24 ÷ 4 × 3).
Q4
MCQ
1 mark
What is the missing number in the box? 14/21 = □/12
Q5
MCQ
1 mark
What is the missing fraction in the box? 2/3 + 1/4 − □ = 5/6
Q6
MCQ
1 mark
What percentage of 2 m is 55 cm?
Q7
MCQ
1 mark
What is the average length of 4 poles if their lengths are 56 cm, 32 cm, 60 cm and 72 cm?
Q8
MCQ
1 mark
What is the missing number in the box? 6/7 × 18 = 6/7 + 6/7 + 21 × 6/7 − 6/7 × □
Q9
MCQ
1 mark
String A is thrice as long as String B. The total length of the two strings is 3/4 m. Which one of the following expressions gives the length of String B?
Q10
MCQ
1 mark
The mass of 100 bags of sugar is 50.2 kg. What is the mass of each bag of sugar?
Q11
MCQ
2 marks
The numeral A is the product of all the common factors of 24 and 30. The numeral B is the lowest common multiple of 4 and 6. Find the value of A + B.
Q12
MCQ
2 marks
Mr Lam wants to buy a durian that weighs 2 2/3 kg. The cost of the durians two months ago was $12 per kg and now it costs $18 per kg. How much more does Mr Lam have to pay for the durian now?
Q13
MCQ
2 marks
Find the value of 5 − 1.08 + 2.1.
Q14
MCQ
2 marks
Mrs Tan's salary is $2500 this year. Her salary was $2000 last year. What was the percentage increase in her salary?
Q15
MCQ
2 marks
🖼 Visual
The table below shows the number of marks four pupils scored for their Primary 5 Maths Test. The average score of the 4 pupils was 62. If Dennis scored 6 more marks than Raj, what was Raj's score?
Q16
Open-ended
1 mark
Given that y = 7, find the value of the following algebraic expression. 12 + 28y ÷ 4 − 3y
Q17
Open-ended
1 mark
Find the value of 6104 + 4913 − 1000.
Q18
Open-ended
1 mark
The value of 99 × 5 + 101 × 5 is __________.
Q19
Open-ended
1 mark
What is the value of digit 4 in 809.143?
Q20
Open-ended
1 mark
What is 45% of $220?
Q21
Open-ended
1 mark
Sandy earns $1254 a month. What is her annual salary? Round off your answer to the nearest hundred.
Q22
Open-ended
1 mark
🖼 Visual
Find the area of the triangular plot of field below.
Q23
Open-ended
1 mark
If 1 3/4 of a fraction is 9/10, what is the fraction?
Q24
Open-ended
1 mark
The mass of 20% of a crate of fruits is 6.4 kg. How heavy is the crate of fruits?
Q25
Open-ended
1 mark
After paying $24.25 for 5 similar boxes of cookies, Sally realised that she had to buy another 2 such boxes of cookies. How much more did Sally have to pay?
Q26
Open-ended
2 marks
🖼 Visual
The table below shows the amount of rainfall for four consecutive days. Find the average amount of rainfall.
Q27
Open-ended
2 marks
Samuel borrowed money from a bank and had to pay back $800 monthly for 12 months. If he wanted to pay back the loan in 10 months' time, how much more would he have to pay per month?
Q28
Open-ended
2 marks
Adrian wrote his name in the pattern below: ADRIANADRIANADRIAN …………? (68th position). What letter would be at the 68th position?
Q29
Open-ended
2 marks
On a Sunday, Mrs Pang spent 60% of her time baking a cake. She spent 25% of her remaining time icing the cake. If she spent 2 1/2 h baking the cake, how much time had she left?
Q30
Open-ended
2 marks
The average age of Mary and her mother was 22 years old six years ago. Given that she is now one third of her mother's age, how old is Mary now?
Q31
Open-ended
2 marks
(Paper 2) Peiying mixed 1 1/6 l of orange syrup, 7/12 l of lemon syrup and 2 1/4 l of water to make some fruit punch. She spilled 5/6 l of it while pouring into a container. How much fruit punch was left? Express your answer as a mixed number.
Q32
Open-ended
2 marks
(Paper 2) The height of a pile of 50 books is 95.5 cm. 20 of the books have a thickness of 2.5 cm each. If the rest of the books are of equal thickness, how thick is each of them? Give your answer correct to 2 decimal places.
Q33
Open-ended
2 marks
(Paper 2) If the 7% GST-inclusive price of a clock is $96.30, what is the price of the clock before GST?
Q34
Open-ended
2 marks
🖼 Visual
(Paper 2) The diagram below shows a rectangle. The length and the breadth of the rectangle are rounded off to 1 decimal place. What is the smallest possible perimeter of the rectangle?
Q35
Open-ended
2 marks
(Paper 2) Uncle Raj paid an average cost of $7.20 for 5 books. If he bought another book at $12.60, what would be the new average cost of each book?
Q36
Structured
3 marks
(Paper 2) Taha's weekly allowance is thrice of Chloe's and Ken's weekly allowance is half of Chloe's. The weekly allowance of the three children is $4p. (a) What is Chloe's weekly allowance in terms of p? (b) If p = 36, what is Chloe's weekly allowance?
Q37
Open-ended
3 marks
(Paper 2) The total mass of 2 identical metal tins and 3 identical wooden boxes is 87.5 kg. If 2 such wooden boxes weigh the same as 1 such metal tin, what is the mass of a metal tin? Express your answer in grams.
Q38
Structured
3 marks
(Paper 2) Ali, Billy and Caili went for a jog together. When Ali had completed 8 2/5 km, Billy only completed 4/7 of the distance covered by Ali. Caili completed 3/2 times the distance covered by Billy. (a) What fraction of Ali's distance did Caili cover? (b) What was the total distance covered by the 3 children? Leave your answer as a decimal.
Q39
Structured
3 marks
🖼 Visual
(Paper 2) The patterns below are made up of sticks and triangles. (a) How many sticks are required to form Figure 7? (b) How many triangles are formed if 61 sticks are used?
Q40
Open-ended
3 marks
(Paper 2) 1 kg of cherries cost as much as 2.5 kg of strawberries. Mrs Wong paid $57.60 for 3 kg of strawberries and 2 kg of cherries. How much did 1 kg of strawberries and 1 kg of cherries cost altogether?
Q41
Open-ended
4 marks
(Paper 2) At a theme park, each adult ticket cost $60 per day, while each child ticket cost $45 per day. On Saturday, the number of adult tickets sold was 90 fewer than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 25%, while the number of child tickets sold increased by 20%. If a total of 576 tickets were sold on Sunday, how much money was collected on Saturday?
Q42
Open-ended
4 marks
(Paper 2) Melvin read a storybook. He read an equal number of pages each day. 3/4 of the storybook was left unread after 5 days. There were 117 pages left unread after another 2 days. How many pages did he read after 10 days?
Q43
Open-ended
4 marks
(Paper 2) Mrs Lim paid $326.40 for some cakes and pies. She paid $24 for each cake. The price of each pie was 0.6 times the price of the cake. If she bought 4 more pies than cakes, how many cakes and pies did she buy altogether?
Q44
Open-ended
4 marks
(Paper 2) There were some goldfish and clown fish in a fish tank. The number of goldfish was 20% more than the clown fish. After Rafi sold 18 goldfish, he added 35 clown fish into the fish tank. The number of goldfish was then 40% fewer than the number of clown fish. How many fishes were there altogether in the fish tank at first?
Q45
Structured
4 marks
(Paper 2) Julian and Cody have 540 cards altogether. If Cody gives 1/4 of his cards to Julian, and Julian in turn gives 2/5 of his cards to Cody, they will have the same number of cards. How many cards does each boy have at first?
Q46
Open-ended
5 marks
(Paper 2) Kelvin received $30 more allowance than his sister every month. Over a number of months, Kelvin saved $800, while his sister saved 70% of what Kelvin saved. Given that each of them spent $220 per month, how much was Kelvin's annual allowance?
Q47
Open-ended
5 marks
(Paper 2) John had 20% more stickers than Keming. Liling had 40% fewer stickers than John. Liling lost 25% of her stickers and she had 540 stickers left. Keming bought some stickers and the number of stickers that he had increased by 10%. How many stickers did the three children have in the end?
Q48
Open-ended
5 marks
(Paper 2) There were 756 litres of water in Tank A and Tank B. There were 92 more litres of water in Tank A than in Tank B. The next day, some water was drained off from Tank A and Tank B. The amount of water drained off from Tank A was 1/4 of the amount of water drained off from Tank B. In the end, the amount of water left in Tank B was a third of the amount of water in Tank A. How much water was in Tank A in the end?