Q1
MCQ
1 mark
Simplify 11a + 15 – 2a – 8.
P6 Mathematics CA1 2014 — Nanyang
Source: Nanyang, 2014
This P6 Mathematics CA1 paper from Nanyang (2014) covers measurement, money, percentage, patterns and algebra, fractions and average, rate and speed across 48 questions worth 101 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 5200 ÷ 20?
Q3
MCQ
1 mark
Find the value of 26 – 3 × 2 + (8 + 8 ÷ 2).
Q4
MCQ
1 mark
Which of the following fractions are the equivalent fractions of 4/12?
1/3, 1/4, 2/8, 3/9
Q5
MCQ
1 mark
What number is 4.63 less than 6.96?
Q6
MCQ
1 mark
What percentage of 2 kg is 400 g?
Q7
MCQ
1 mark
Find the value of 5/9 – 1/3
Q8
MCQ
1 mark
The total length of 30 rods is 6 m. What is the average length of the rods?
Q9
MCQ
1 mark
Find the value of 12/7 × 21
Q10
MCQ
1 mark
Mary and John were given 5/6 of a pizza. They shared the pizza equally. What fraction of the pizza did each of them receive?
Q11
MCQ
2 marks
🖼 Visual
What is the missing number in the box below?
0.625 × 100 = ____ ÷ 10
Q12
MCQ
2 marks
The number of children increased by 15 to 35 at a party. What was the percentage increase in the number of children?
Q13
MCQ
2 marks
The dimensions of a rectangular yard are 4 2/3 m and 6 m. What is the area of the yard?
Q14
MCQ
2 marks
The average age of Elvin's friends was 11 years old. Elvin was 7 years old. After Elvin joined the group, the average age became 10 years old. How many children were there in the group after Elvin joined in?
Q15
MCQ
2 marks
Felix bought 5 sacks of flour for his bakery. Each sack of flour was 25 kg. He used 73 kg and packed the remaining flour into 4 smaller packets of equal mass. What was the mass of each smaller packet of flour?
Q16
Open-ended
1 mark
Find the value of 18 + 5b – 2b – 4 when b = 3.
Q17
Open-ended
1 mark
What is the product of 67 and 8?
Q18
Open-ended
1 mark
Find the value of 3/7 × 7/12.
Express your answer as a fraction in its simplest form.
Q19
Open-ended
1 mark
Express 30 tens, 62 hundredths and 8 thousandths as a decimal.
Q20
Open-ended
1 mark
Round off 23 890 to the nearest thousand.
Q21
Open-ended
1 mark
Find the value of 4 ÷ 6/7.
Leave your answer as a mixed number in its simplest form.
Q22
Open-ended
1 mark
🖼 Visual
Given that 35 × 9 = 315, what is the missing number in the box below?
35 × ____ = 31.5
Q23
Open-ended
1 mark
Mr Yan walked 632 m from his house to Town A to visit a friend. He then walked back 314 m towards his house along the same route to Tella Supermarket. What was the distance between Mr Yan's house and Tella Supermarket?
Q24
Open-ended
1 mark
Eva had $150 at first. She spent 30% of her money on a wallet. How much did she spend?
Q25
Open-ended
1 mark
A tank was 70% full of water. When 15 l of the water leaked out, there were 34 l of water left in the tank. What was the capacity of the tank?
Q26
Open-ended
2 marks
After selling 350 kg of rice, Mr Tan had 3/4 of the rice left. He then gave away the remaining rice equally to 5 charitable organisations. How much rice did each organisation receive?
Q27
Open-ended
2 marks
Xian Zhong saved 40% of his salary every month. When Xian Zhong's salary was reduced by 10%, his savings became $360. What was his salary at first?
Q28
Open-ended
2 marks
🖼 Visual
The average mass of the 3 boxes shown below is 9/20 kg. Given that the masses of Boxes A and B are 1/4 kg and 0.6 kg, what is the mass of Box C?
Q29
Open-ended
2 marks
There were 25c red marbles in a container. 1/5 of the red marbles were taken out. 15 blue marbles were then placed into the container. How many marbles were there in the container in the end? Express your answer in terms of c.
Q30
Open-ended
2 marks
Every 2nd customer is given a toy and every 4th customer is given a free ice-cream while every 9th customer is given a free apple pie at the newly-opened Yummy Burger. Kylar received all the 3 free gifts just by visiting the restaurant once. Given that he was among the first 50 customers, what customer number was Kylar?
Q31
Open-ended
2 marks
Mrs Verlu's annual income is $26 400. She puts 20% of her annual income in a bank which pays 4% interest per year. How much interest will Mrs Verlu receive at the end of the year?
Q32
Open-ended
2 marks
Chef Lee bought 6 1/4 kg of fish. He used 2 5/8 kg of it to cook curry fish. He then bought another 2 3/5 kg of fish. What was the mass of the fish he had in the end?
Q33
Open-ended
2 marks
4 cups and 3 bowls cost $12. 3 cups and 1 bowl cost $7. Find the cost of 1 cup.
Q34
Open-ended
2 marks
The average of seven numbers is 56. 1 is added to the first number, 2 is added to the second number, 3 is added to the third number and so on, up to the seventh number. Find the new average.
Q35
Open-ended
2 marks
🖼 Visual
Brienna wants to mark some crosses on the outline of a circle as shown in the diagram below. The crosses are evenly spaced out and the 5th cross is directly opposite the 14th cross. Find the number of crosses that Brienna can mark on the outline of the circle.
Q36
Structured
3 marks
A soft plastic sheet with a thickness of 0.24 cm is folded so that it is twice as thick after each fold.
(a) How thick is the plastic sheet after 2 folds?
(b) What is the greatest number of folds needed for the thickness of the plastic sheet to be not more than 16 cm thick?
Q37
Open-ended
3 marks
A delivery company charges a fixed amount of $28 for delivery of any parcel weighing not more than 10 kg. It charges an extra amount of p cents for every extra kilogram the parcel weighs. Mrs Pillay wants to deliver a parcel of 8 kg and a parcel of 12 kg. How much does she have to pay the delivery company in total in terms of p? Express your answer in dollars.
Q38
Structured
3 marks
There was 9/10 l of alcohol in a beaker. 2/3 of it was used in an experiment. The remaining volume of the alcohol was poured into 6 test tubes each of equal volume.
(a) What was the volume of alcohol used in the experiment?
(b) What was the volume of alcohol in each test tube?
Express your answer in ml.
Q39
Open-ended
3 marks
Mr Osman bought 30 watches. Given a discount of 25%, he paid for 20 female watches at $120 each and 10 male watches at $90 each. How much did the watches cost before the discount?
Q40
Open-ended
3 marks
Lendy paid $364 for some pairs of trousers and shirts. A shirt cost $28 and a pair of trousers cost 3 times as much as a shirt. He bought 5 more shirts than trousers. How many pairs of trousers did he buy?
Q41
Structured
4 marks
There were 420 visitors at the Arts Museum. 2/7 of them were adults. The rest were children. 3/8 of the adults were men and 2/5 of the children were girls.
(a) How many women were there at the museum?
(b) How many more boys than adults were there?
Q42
Open-ended
4 marks
Bingwei has some coins in his savings box. There are 15 fewer 50-cent coins than 20-cent coins. The total value of the coins is $21.90. Find the total number of coins Bingwei has in his savings box.
Q43
Open-ended
4 marks
There were 36 tulips, 48 roses and 60 carnations in a shop at first. When 39 more flowers were added, the number of roses was increased by 25% and the number of carnations was increased by 30%. What was the percentage increase in the number of tulips?
Q44
Open-ended
4 marks
Mrs Lucien started her journey with 22.8 l of petrol in the tank. After travelling for a distance, she found that there was only 3.8 l of petrol left. She refilled $48 worth of petrol at 80¢ per litre. At the end of her journey, 10.8 l of petrol was left in the tank. 0.2 l of petrol was needed for every 1 km. What was the total distance Mrs Lucien covered?
Q45
Structured
5 marks
Study the pattern below.
1 + 1
1 + 2 + 2 + 1
1 + 2 + 3 + 3 + 2 + 1
1 + ( ) + ( ) + ( ) + ( ) + ( ) + ( ) + 1
(a) Complete the pattern of the 4th line by writing your answers in the brackets provided above.
(b) What is the sum of numbers in the 5th line?
(c) Which line has a sum of 110?
Q46
Open-ended
5 marks
Tom's allowance is $15 more than Jack's allowance each week. Each of them spends $12 per week and saves the rest. When Tom saves $161, Jack saves $56. How much is Tom's weekly allowance?
Q47
Structured
5 marks
The mass of the flour in Sack A was 2/5 the mass of the flour in Sack B. After adding 200 g of flour into Sack A and 2 kg 400 g of flour into Sack B, the mass of the flour in Sack A was 1/5 the mass of flour in Sack B.
(a) What was the mass of the flour in Sack A at first?
(b) What was the mass of the flour in Sack B in the end?
Express your answer in kg and g.
Q48
Structured
5 marks
Benny, Hamid and Anbu decided to share and buy a present for their friend. Benny agreed to contribute 30% of the cost of the present while Hamid would contribute 40% of the remaining amount. The balance would be paid by Anbu. The cost of the present they intended to buy increased by 25%. As a result, Benny had to pay $45 for his share.
(a) What was the cost of the present before the increase?
(b) How much did Anbu have to pay in the end?