Q1
MCQ
1 mark
Which of the following numbers is the largest?
P6 Mathematics SA2 2014 — Henry Park
Source: Henry Park, 2014
This P6 Mathematics SA2 paper from Henry Park (2014) covers measurement, area and perimeter, geometry and angles, fractions, money 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 5 ÷ 5/12?
Q3
MCQ
1 mark
🖼 Visual
The figure shows a solid made up of identical cubes. The side of each cube is 2 cm. Find the volume of the solid.
Q4
MCQ
1 mark
The volume of a cube is 64 m³. What is the area of one of its faces?
Q5
MCQ
1 mark
🖼 Visual
The table below shows the scores obtained by 3 players in a computer game. The average score of the 3 players was 90. What was Peter's score?
Q6
MCQ
1 mark
🖼 Visual
The pie chart below shows the number of different types of animals in a farm. There was an equal number of chickens and ducks. What fraction of the animals in the farm were cows?
Q7
MCQ
1 mark
🖼 Visual
The figure below shows a parallelogram. Which of the following statements is definitely true?
Q8
MCQ
1 mark
🖼 Visual
In the figure, Caleb is standing at the point marked C. He is facing the market. What will he face when he turns 135° clockwise?
Q9
MCQ
1 mark
Ben, Donald and Frank shared $800 in the ratio 2 : 5 : 3. Donald spent $150 of his share of money. How much money had he left?
Q10
MCQ
1 mark
Simplify 7p − 4 + 5p + 9.
Q11
MCQ
2 marks
Selina has 3 more twenty-cent coins than fifty-cent coins. The total value of all her coins is $6.20. How many twenty-cent coins does she have?
Q12
MCQ
2 marks
🖼 Visual
In the diagram below, find ∠x.
Q13
MCQ
2 marks
🖼 Visual
The table shows the cost of photocopying. How much will Mr Chong have to pay to photocopy 30 pages in black and white and 15 pages in colour?
Q14
MCQ
2 marks
Karen and Lynn shared the total cost of a present. Karen paid $10 more than 5/8 of what Lynn paid. If Lynn paid $14 more than Karen, what was the cost of the present?
Q15
MCQ
2 marks
🖼 Visual
The figure shows an isosceles triangle, BCE, and a semi-circle drawn inside a rectangle, ABCD. Find the area of triangle BCE.
Q16
Open-ended
1 mark
🖼 Visual
What is the length of the rod in the figure? Give your answer in its simplest form.
Q17
Open-ended
1 mark
Find the value of 8 + (24 − 18 ÷ 6) ÷ 7.
Q18
Open-ended
1 mark
🖼 Visual
The figure below is made up of 3 squares. Find the perimeter of the figure.
Q19
Open-ended
1 mark
🖼 Visual
The solid below is made up of 1-cm cubes. How many more of such cubes are needed to form a solid with a volume of 20 cm³?
Q20
Open-ended
1 mark
🖼 Visual
The figure shows a container with a square base and a height of 15 cm. Find the volume of the container.
Q21
Open-ended
1 mark
🖼 Visual
The pie chart below shows the number of different types of cakes sold at a bakery. What is the ratio of the number of mango cakes sold to the number of cheese cakes sold? Give your answer in its simplest form.
Q22
Open-ended
1 mark
🖼 Visual
180 pupils were asked to choose their favourite colour. The bar graph below shows the number of pupils who chose each of the colours. What percentage of the pupils chose red as their favourite colour?
Q23
Open-ended
1 mark
🖼 Visual
Name the solid figure formed by the net below.
Q24
Open-ended
1 mark
🖼 Visual
In the diagram below, the letters K, Y, L and E are drawn on a square grid. List all the letters that have a line of symmetry?
Q25
Open-ended
1 mark
John's mass was 48 kg at the beginning of the year. He lost 6 kg at the end of the year. What was the percentage decrease in his mass that year?
Q26
Structured
2 marks
🖼 Visual
In the square grid below, two sides of a parallelogram PQRS have been drawn.
(a) Complete the drawing of the parallelogram PQRS.
(b) RS also forms one side of a triangle RST in which ∠RST is a right angle and the length of RS is twice the length of ST. Complete the drawing of triangle RST.
Q27
Open-ended
2 marks
Mei Ling spent 1/6 of her savings on a T-shirt and 3/10 of the remainder on a skirt. She had $63 left. What was the total amount she spent on the T-shirt and skirt?
Q28
Open-ended
2 marks
Jack could either buy 25 pens or 10 files with his money. He decided to spend all his money on both pens and files. Given that he bought 8 files, how many pens did he buy?
Q29
Open-ended
2 marks
A rectangular tank measures 60 cm by 50 cm by 30 cm. It contains 20 litres of water. How many more litres of water would be needed to fill the tank to 3/4 of its height?
Q30
Open-ended
2 marks
At present, Peter's age is 3/7 of Kelly's age. In 10 years' time, the ratio of Peter's age to Kelly's age will be 11 : 19. What is Peter's present age?
Q31
Open-ended
2 marks
🖼 Visual
The figure below is made up of an equilateral triangle and a semi-circle of diameter 21 m. Find the perimeter of the figure. (Take π = 22/7)
Q32
Open-ended
2 marks
The length of Rod A is 1/2 of the length of Rod B and the length of Rod B is 1/3 of the length of Rod C and 1/4 of the length of Rod D. What fraction of the total length of the 4 rods is C?
Q33
Structured
2 marks
🖼 Visual
A tank was completely filled with water. The water was drained out of the tank at a constant rate for 25 minutes. The graph below shows the volume of water in the tank over a period of 30 minutes.
(a) What fraction of the tank was filled with water at the end of 25 minutes? Express your answer in the simplest form.
(b) How many litres of water was drained out of the tank in 1 minute?
Q34
Open-ended
2 marks
🖼 Visual
The figure below shows a small circle of diameter 12 cm inside a big circle of radius 12 cm. Find the area of the unshaded part of the big circle. Leave your answer in terms of π.
Q35
Open-ended
2 marks
Jun Kee had some bags of nails. The average number of nails in each bag was 146. After Jun Kee added another bag containing 128 nails, the average number of nails in each bag became 143. How many bags of nails were there after the new bag was added?
Q36
Open-ended
3 marks
🖼 Visual
The figure shows 4 identical circles in a square, ABCD. The area of the square is 64 cm². Find the area of the shaded part. (Take π = 3.14)
Q37
Open-ended
4 marks
🖼 Visual
In the figure, ABCD and DEFG are squares. Find the area of the shaded triangle ACF.
Q38
Open-ended
3 marks
🖼 Visual
In the figure below, ABC is a straight line and BDE is an isosceles triangle. Find ∠x.
Q39
Open-ended
4 marks
Mark and Jie Ming started walking from the same spot in opposite directions along a straight path. They walked for 30 minutes. At the end of the walk, they were 5 km apart. Mark's average speed was 4 km/h. What was Jie Ming's average speed in km/h?
Q40
Structured
3 marks
🖼 Visual
Look at the pattern below.
(a) Complete the table below by filling in the blank.
(b) How many unshaded tiles will there be in Pattern number 15?
Q41
Open-ended
4 marks
The length of a rectangle is increased by 25% and its breadth is increased by 30%. What is the percentage increase in its area?
Q42
Structured
4 marks
Ali is k years old. Bala is four times as old as Ali and Cai Yun is 6 years younger than Bala.
(a) Express Cai Yun's age in terms of k.
(b) Ali is 10 years old now. In how many years' time will Cai Yun be three times as old as Ali?
Q43
Open-ended
3 marks
There are two neon lights in a shop. The red light flashes every 6 minutes and the yellow light flashes every 9 minutes. Both neon lights flashed together when Annette walked into the shop.
Including the flashes Annette saw when she first stepped into the shop, how many times will she see the 2 neon lights flash together if she stays in the shop for 1 hour?
Q44
Structured
3 marks
🖼 Visual
The thickness of one piece of plank is 3.95 cm. It is cut into halves and the two pieces are placed on top of each other. These 2 pieces are halved again and placed on top of the other two pieces.
(a) Repeating the process, how many pieces of planks are there after a total of 6 cuts?
(b) What will be the height of the final pile of the pieces of planks after a total of 6 cuts? Round off your answer to the nearest m.
Q45
Open-ended
5 marks
Patricia baked 120 more cupcakes than muffins. She sold 5/6 of the cupcakes and 1/5 of muffins. In the end she had 75 more muffins than cupcakes left. How many cupcakes and muffins did she bake at first?
Q46
Structured
5 marks
🖼 Visual
The diagram below shows 2 tanks, Tank A and Tank B of different dimensions. Tank A is completely empty while Tank B is filled with water to the brim.
Water from Tap A flows at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same. (1 litre = 1000 cm³)
(a) Find the time taken for the heights of the water level to be the same in both tanks.
(b) Find the height of the water level at that point of time.
Q47
Structured
4 marks
🖼 Visual
A rectangular piece of paper was folded as shown below.
(a) Find ∠x.
(b) Find ∠y.
Q48
Open-ended
5 marks
Sally bought some chocolates and gave half of them to Mabel. Sally also bought some lollipops and gave half of them to Mabel. Mabel ate 7 lollipops and Sally ate 16 chocolates.
After that, the number of lollipops and chocolates Mabel had were in the ratio 1 : 8 and the number of lollipops and chocolates Sally had were in the ratio 1 : 5. How many lollipops did Sally buy at first?