Q1
MCQ
1 mark
Simplify 14a + 8 - 5a - 7.
P6 Mathematics CA1 2019 — Nanyang
Source: Nanyang, 2019
This P6 Mathematics CA1 paper from Nanyang (2019) covers percentage, measurement, money, patterns and algebra, fractions and area and perimeter across 47 questions worth 99 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
Structured
2 marks
Arfan had 7/8 kg of rice at first. He then bought another 1 1/2 kg of rice and used 1/5 kg of rice to cook porridge. How many kilograms of rice did he have left? Express your answer as a mixed number.
Q2
Structured
2 marks
A rectangle measures 14 m by 8 4/7 m. Find the area of the rectangle.
Q2
MCQ
1 mark
Find the missing number in the box below.
4800 ÷ 3 = 16 x ____
Q3
Structured
2 marks
Olivia bought a handbag and was given a discount of 15%. The price of the handbag was $130 before discount. How much was the discount for the handbag?
Q3
MCQ
1 mark
Russell had 9/10 L of water. He drank 3/5 L of the water. How much water did he have left?
Q4
Structured
2 marks
🖼 Visual
There are four numbers in the box below. Which number should be removed from the box to get an average of 11 for the remaining 3 numbers?
5, 8, 11, 17
Q4
MCQ
1 mark
🖼 Visual
In the number line below, what is the value of X as indicated by the arrow?
Q5
Structured
2 marks
It takes Mr Lee 4 days to build 8 identical toy aeroplanes. At this rate, how many days will it take Mr Lee to build 12 such toy aeroplanes?
Q5
MCQ
1 mark
Rita had 5/8 kg of cookies. She gave away 1/3 of it to her friends. How many kilograms of cookies did she give away to her friends?
Q6
MCQ
1 mark
Mrs Ang had 4/5 L of milk. She poured all the milk equally into 8 identical bottles. How many litres of milk did she pour into each bottle?
Q6
Structured
3 marks
A florist had some flowers. 25% of the flowers were carnations, 45% of the flowers were roses, 16% of the flowers were lilies and the rest were tulips. She had 280 tulips. How many flowers did she have altogether?
Q7
Structured
3 marks
🖼 Visual
(a) Kelly rented a bicycle from 3.00 p.m. to 5.30 p.m. on Tuesday. How much did she pay? [1]
(b) Adele paid $10 when she rented a bicycle. Find the greatest number of hours that she could have rented the bicycle. [2]
Q7
MCQ
1 mark
Express 48 m 5 cm in cm.
Q8
Structured
3 marks
Evan had some money. He spent 1/3 of his money on a bag and a pair of shoes. The pair of shoes cost twice as much as the bag. He had $360 left after spending on the two items. How much did the pair of shoes cost?
Q8
MCQ
1 mark
Find the value of 30.36 ÷ 60.
Q9
MCQ
1 mark
There are 80 oranges in a box. 24 of them are rotten. What percentage of the oranges in the box are rotten?
Q9
Structured
3 marks
🖼 Visual
Ravi had 8 identical pieces of wood each measuring 3/5 m long and 1/8 m wide. He then glued all the pieces of wood together to form the figure below without any overlaps. Find the perimeter of the figure.
Q10
MCQ
1 mark
🖼 Visual
Which of the following is likely to be the mass of a 23-cm toothbrush?
Q10
Structured
3 marks
A set of numbers is written on a board. If the number 34 is added to the set of numbers, the average will increase by 1. If the number 58 is added to the original set of numbers, the average will increase by 4. How many numbers are written on the board?
Q11
MCQ
2 marks
A machine printed 1000 worksheets on the first day and 800 worksheets on the second day. What was the percentage decrease in the number of worksheets printed from the first day to the second day?
Q11
Structured
4 marks
🖼 Visual
In the figure below, ABCE is a trapezium with AB parallel to EC. ABDE is a rhombus. AFC and BFE are straight lines. ∠DBC = 46°, ∠BCA = 18° and ∠BDC = 84°. Find ∠BAC.
Q12
Structured
4 marks
Alex and Billy had d stamps each at first. Alex lost 48 stamps. Billy received 130 stamps from his mother. They had 934 stamps altogether in the end.
(a) How many stamps did Alex have in the end? Express your answer in terms of d. [1]
(b) How many stamps did each of them have at first? [3]
Q12
MCQ
2 marks
🖼 Visual
Afiq used 8 unit cubes to form a solid. Which one of the following solids was not possible for him to form?
Q13
Structured
4 marks
Leroy had a sum of money at first. He spent 60% of his money on a set of storybooks and 25% of the remaining money on a box of crayons. He had $63 left.
(a) What fraction of his money did he spend on the box of crayons? [2]
(b) How much did he spend on the box of crayons? [2]
Q13
MCQ
2 marks
🖼 Visual
A tank was filled with 45 L of water at 07 00. Water flowed out from the tank from 07 00 to 08 00 and from 09 00 to 11 00. The table below shows the volume of water in the tank from 07 00 to 11 00. Which one of the line graphs below best represents the information in the table?
Q14
MCQ
2 marks
Mrs Tay had 3 m of cloth to make 2 pillow cases. She used 3/8 m of cloth for each pillow case. How much cloth did she have left?
Q14
Structured
4 marks
Yumi had 90 more stickers than Martin at first. Yumi gave away 90% of her stickers to her sister and Martin gave away 60% of his stickers to his brother. In the end, Martin had twice as many stickers as Yumi. How many stickers did Yumi have at first?
Q15
MCQ
2 marks
🖼 Visual
Observe the pattern below. Find the missing number.
Q15
Structured
4 marks
A glass tank measuring 45 cm long and 30 cm wide contained some water which could fill up 5 identical pails completely. After some water was poured out to fill up 2 of the pails completely, the height of the water left in the glass tank dropped to 14 cm. How much water was there in the glass tank at first?
Q16
Structured
5 marks
🖼 Visual
A rectangle is made up of 5 triangles, A, B, C, D and E. The area of triangle A is 1/12 the area of the rectangle. The area of triangle C is 1/3 the area of the rectangle. The area of triangle A is equal to the area of triangle E. The area of triangle D is 96 cm².
(a) Find the ratio of the area of triangle C to the area of triangle D. [1]
(b) Find the perimeter of the rectangle. [4]
Q16
Open-ended
1 mark
Find the value of 24 + 36 ÷ (6 + 3 × 2).
Q17
Structured
5 marks
🖼 Visual
The bar graph below shows how Bala spent his monthly allowance in March. The bar for the amount of money spent on clothes had not been drawn.
(a) What is the ratio of the amount of money spent on books to that on meals? Express your answer in the simplest form. [1]
(b) The amount of his monthly allowance is 8 times the amount he spent on transport. How much did he spend on clothes? [2]
(c) Each statement below is either true, false or not possible to tell from the information given in the bar graph. For each statement, put a tick (✔) in the correct column to indicate your answer.
Statement 1: The amount of money spent on meals in February was less than that in March.
Statement 2: In March, Bala paid $4.50 for each book.
Q17
Open-ended
1 mark
Find the value of 11/12 ÷ 1/3. Express your answer as a mixed number.
Q18
Open-ended
1 mark
Find the missing number in the box below. ____ ÷ 5 = 10
Q19
Open-ended
1 mark
Find the value of (11 + 4a)/7 when a = 6.
Q20
Open-ended
1 mark
In a school, 55% of the pupils were boys. There were 1600 pupils in the school. How many boys were there?
Q21
Open-ended
2 marks
Aishah spent 20% of her monthly salary on a tablet which cost $400. How much was her monthly salary?
Q22
Open-ended
2 marks
Alex is 1.53 m. Alex is 0.26 m shorter than Brandon. Find the height of Brandon.
Q23
Open-ended
2 marks
Rajesh took 1/10 hour to walk 1 complete round of a running track. At this rate, how long will he take to walk 6 complete rounds of the running track?
Q24
Open-ended
2 marks
Mr Lau bought 9 large pizzas for all his pupils in Primary 6B to share equally at a party. Three pupils did not turn up for the party. As a result, each remaining pupil received 3/8 of a pizza. How many pupils did he have in Primary 6B in total?
Q25
Open-ended
2 marks
Clarice is n years old now. Mrs Tan is 3 times her age now. Find the total sum of their age in 4 years' time. Express your answer in terms of n.
Q26
Open-ended
2 marks
Faizal spent $h on a magazine and $12 more on a book than the magazine. He also bought a pen at $5. He spent a total of $25. How much did the magazine cost?
Q27
Open-ended
2 marks
Sue had 6 packets of chocolate bars. Each packet contained 12 chocolate bars. She repacked all the chocolate bars into bags of 4 or 5 bars. She had 8 bags containing 5 chocolate bars each. How many bags of 4 chocolate bars did she pack?
Q28
Open-ended
2 marks
Mr Kim had forgotten his 3-digit passcode for logging into his laptop. However, he remembered that the passcode contained three out of these four digits, 2, 4, 7 and 8. None of the digits was repeated. He tried 247 and 274 but both passcodes were incorrect. At most, how many more passcodes could he make?
Q29
Open-ended
2 marks
Two numbers add up to 1.52. Both of the numbers are smaller than 1. One of them has 1 decimal place and the other has 2 decimal places. What is the largest possible difference between the two numbers?
Q30
Structured
1 mark
🖼 Visual
A shop sells pens in three different colours. The table shows the number of pens sold in May for blue and red but not green.
(a) In May, 50% of the pens sold were green. How many pens were sold altogether in May? [1]
(b) In June, the number of pens sold that were red remained the same but there was an increase in the number of pens sold for the other two colours. Did the percentage of pens sold that were red increase, decrease or remain the same from May to June? [1]