Q1
MCQ
1 mark
50 653 people took part in a marathon. Express this number to the nearest hundred.
P6 Mathematics SA2 2014 — Catholic High
Source: Catholic High, 2014
This P6 Mathematics SA2 paper from Catholic High (2014) covers measurement, money, geometry and angles, percentage, area and perimeter and patterns and algebra 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
Which one of the following is the same as 3080 ml?
Q3
MCQ
1 mark
450.1 ÷ 300 is the same as __________________.
Q4
MCQ
1 mark
Arrange the following numbers from the smallest to the largest.
7, 7.2, 7.02
Q5
MCQ
1 mark
🖼 Visual
The figure below shows a pyramid. Which one of the following is a net of the pyramid?
Q6
MCQ
1 mark
A basket contains some apples and oranges. There are 2/5 as many oranges as apples in a basket. What fraction of the fruits in the basket is apples?
Q7
MCQ
1 mark
Emily uses 2 eggs to make 18 cupcakes. How many eggs does she use to make 117 cupcakes?
Q8
MCQ
1 mark
🖼 Visual
Mr Rajah sits on a chair with his feet touching the floor. Which one of the following could be the possible height measured vertically from the floor to his knees?
Q9
MCQ
1 mark
Find the value of 3w/2 − w + 4 when w = 36.
Q10
MCQ
1 mark
🖼 Visual
In the number line below, how much longer is AB than CD?
Q11
MCQ
2 marks
What percentage of 1 litre is 50 cm³?
Q12
MCQ
2 marks
🖼 Visual
In the figure, AOD is a straight line. ∠AOC = 125° and ∠BOD = 142°. What is ∠BOC?
Q13
MCQ
2 marks
Aden and Brandon were standing in a queue to board a bus. Aden was in the middle of the queue. Brandon was 19th in the queue and behind Aden. There were 6 people between them. How many people were standing in the queue to board the bus?
Q14
MCQ
2 marks
Jerina bought an equal number of vanilla and chocolate ice-creams for a party. 2/5 of the vanilla ice-creams and 1/3 of the chocolate ice-creams were left at the end of the party. What fraction of the total number of ice-creams was eaten?
Q15
MCQ
2 marks
The usual price of a racket in a shop was $218. Jon bought a racket at a discount with 7% GST on the discounted price. How much was the discount if he paid $214 for the racket?
Q16
Open-ended
1 mark
Write 1 million, 4 hundred and nine thousand and five in figures.
Q17
Open-ended
1 mark
Express 0.75 as a percentage.
Q18
Open-ended
1 mark
Find the value of 2.58 × 19.
Q19
Open-ended
1 mark
List all the common factors of 16 and 24.
Q20
Open-ended
1 mark
What is the missing number in the box below?
39 × 7 + 11 × 7 = ____ × 14
Q21
Open-ended
1 mark
🖼 Visual
The figure below is one of the faces of a prism. How many faces does the prism have?
Q22
Open-ended
1 mark
Alston spent 2 2/9 h to watch TV and play computer game. He used 1/3 h to watch TV. How much time did he spend playing computer game? Give your answer in the simplest form.
Q23
Open-ended
1 mark
🖼 Visual
The figure is made up of a rectangle and two quarter circles. The breadth of the rectangle is 10 cm. What is the total area of the shaded parts? Give your answer in terms of π.
Q24
Open-ended
1 mark
Mrs Chew bought 120 kg of flour. She repacked the flour into bags of 3/8 kg each with no left over. How many bags of flour did she have?
Q25
Open-ended
1 mark
🖼 Visual
The figure below is made up of squares. Shade 3 more squares so that AB is the line of symmetry of the figure.
Q26
Open-ended
2 marks
For every purchase of two movie tickets, the third ticket is free. A movie ticket is priced at $10. George needs 8 movie tickets. How much does he need to pay for the tickets?
Q27
Open-ended
2 marks
🖼 Visual
The pattern in the box shows part of a tessellation. Extend the tessellation by drawing three more unit shapes in the space provided in the box.
Q28
Open-ended
2 marks
Raphael bought a packet of sweets. He divided the sweets into 5 equal portions. He gave 1 portion and 9 more sweets to his younger brother. He was left with 23 sweets. How many sweets were there in the packet at first?
Q29
Open-ended
2 marks
There are some theatres in a cinema complex. The average number of seats in a theatre is 224. 40 seats are removed and the average number of seats in a theatre becomes 219. How many theatres are there in the cinema complex?
Q30
Open-ended
2 marks
🖼 Visual
In the figure below, ABC is a triangle. Lines AF and DE are drawn perpendicular to CB. CF = FE = EB. The area of triangle DBE is 13.7 cm² and is half the area of triangle AFC. What is the area of the triangle ABC?
Q31
Open-ended
2 marks
A string y cm long is cut into two pieces. One piece is 5 cm longer than the other. What is the length of the longer piece? Give your answer in terms of y.
Q32
Open-ended
2 marks
🖼 Visual
In the diagram below, the letters M, A, T, H and S are drawn on a square grid. List all the letters which have both perpendicular and parallel lines.
Q33
Structured
2 marks
🖼 Visual
The square grid below shows the plan inside a shopping centre. The candy shop is north of the food court.
(a) In which direction is the candy shop from the bank?
(b) Mr Tan is setting up a sports shop. The location of the sports shop is to be south-east of the candy shop and north-east of the food court. Put a tick (✓) in the square where the sports shop will be located.
Q34
Open-ended
2 marks
🖼 Visual
The figure shows a rectangular glass tank partly filled with unit cubes. How many more unit cubes are needed to fill the tank completely?
Q35
Open-ended
2 marks
Jeremy arranged 5 letters to form a pattern. The first 4 rows are as shown below.
Row 1: AB CDE
Row 2: BA ECD
Row 3: AB DEC
Row 4: BA CDE
Write the arrangement of the 5 letters in Row 83.
Q36
Structured
3 marks
🖼 Visual
The line graph below shows the number of books sold by a shop from July to December in 2013.
(a) What was the average number of books sold per month from July to December in 2013?
(b) The total number of books sold for the same period from July to December in 2012 was 672. Find the percentage decrease in the total number of books sold for the same period from 2012 to 2013.
Q37
Open-ended
3 marks
🖼 Visual
In the figure below, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 56° and ∠CAB = 14°. Find ∠EAF.
Q38
Open-ended
3 marks
🖼 Visual
The pie chart represents the number of fruits sold at a fruit stall. 650 apples were sold. How many oranges were sold?
Q39
Open-ended
3 marks
When Jane started folding paper crane, Rose had already folded 80 paper cranes. For every 7 paper cranes that Jane folded, Rose folded 5 paper cranes. How many paper cranes would Jane have folded when both girls had the same number of paper cranes?
Q40
Open-ended
3 marks
🖼 Visual
Rectangle ABCD is made up of an unshaded square, an unshaded rectangle and two shaded rectangles. The area of the square is 36 cm² and the perimeter of the unshaded rectangle is 76 cm. What is the total area of the 2 shaded rectangles?
Q41
Open-ended
4 marks
Ivan needs balloons for a carnival. The balloons are sold in packets of 80 only. Each packet is sold at $2.50. Ivan has the exact amount of money to buy 4/5 of the required number of packets of balloons. When his mother gives him another $15, he is able to buy the required number of packets of balloons. How many balloons does Ivan need?
Q42
Open-ended
4 marks
Ivan cycled from the school to the library at 80 m/min. His sister cycled from the library to the school at 65 m/min. Both of them started cycling towards each other at the same time and did not change their speeds throughout their journey. When Ivan reached the library, his sister was 480 m from the school. What was the distance between the school and the library?
Q43
Open-ended
4 marks
Douglas had some stamps. He sold 2/7 of the stamps and then gave 162 stamps to his best friend. He was left with 1/5 of the stamps he had at first. How many stamps did Douglas have at first?
Q44
Open-ended
4 marks
🖼 Visual
Danny built a skateboard using two identical wheels of radius 2.9 cm each and a wooden board as shown below. The distance between the centres of the two wheels is 59.2 cm. He rolled the skateboard from one end of the room to the other end touching the walls at both ends. The distance between the two walls is 11.2 m. How many complete revolutions did each wheel make?
Take π = 3.14.
Q45
Open-ended
4 marks
🖼 Visual
A and B are two rectangular containers. The base area of A is 50 cm² while the base area of B is 40 cm². Container A and B contained some water and the height of the water level in Container A was 43 cm as shown below.
Douglas then poured some water from Container A into Container B. After that, the height of the water level in both containers became 30 cm. What was the height of the water level in Container B at first?
Q46
Open-ended
5 marks
Frank and Benjamin each bought some sheets of paper from a bookstore. If Frank used 40 sheets of paper each day and Benjamin used 80 sheets of paper each day, Frank would have 500 sheets of paper left when Benjamin used up all his papers.
If Frank used 80 sheets of paper each day and Benjamin used 40 sheets of paper each day, Frank would have 20 sheets of paper left when Benjamin used up all his papers.
How many sheets of paper did Frank and Benjamin buy altogether?
Q47
Structured
5 marks
At a sale, Mr Chua bought an electric kettle and a fan at a discount. He paid a total of $105 for these two items. The amount paid for the electric kettle is 2/3 as much as that for the fan.
(a) How much did he pay for the fan?
(b) The total price of these two items before discount was $127.50. Mr Chua was given a discount of 20% on the electric kettle. What was the percentage discount given for the fan?
Q48
Open-ended
5 marks
The price of a child ticket and an adult ticket to a concert are $3 and $8 respectively. The amount collected from the sale of the child tickets is $730 less than the amount from the sale of the adult tickets. The number of child tickets sold is 35 fewer than the number of adult tickets sold. How many tickets are sold altogether?