Q1
MCQ
1 mark
Find the sum of 74 389 and 17 917.
The digit in the thousands place is __________.
P6 Mathematics SA2 2012 — Henry Park
Source: Henry Park, 2012
This P6 Mathematics SA2 paper from Henry Park (2012) covers measurement, area and perimeter, geometry and angles, money, average, rate and speed and ratio across 48 questions worth 102 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
Structured
2 marks
🖼 Visual
The square below, not drawn to scale, is made up of 3 rectangles. The ratio of the areas of A, B and C is 3 : 1 : 2 respectively. The area of the square is 144 cm². What is the breadth of B?
Q2
Structured
2 marks
🖼 Visual
The bar graph below shows the number of marks some pupils scored in a Math quiz.
Given that the passing mark was 150, how many pupils passed the Math quiz?
Q2
MCQ
1 mark
The value of 36 – (14 + 10 ÷ 2) + 5 is __________.
Q3
Open-ended
2 marks
Longans are sold at $7 per kg. How much must I pay for 2 kg 480 g of longans? (Correct your answer to the nearest 10 cents.)
Q3
MCQ
1 mark
🖼 Visual
The figure below shows a field that is made up of a square and a triangular plot of land. What is the area of the field?
Q4
MCQ
1 mark
🖼 Visual
Find the area of triangle WYX shown above.
Q4
Open-ended
2 marks
🖼 Visual
The beaker below shows the amount of water John had at first. He poured the water from the beaker into an empty container to fill the container to the brim. What is the base area of the container given that the container had a height of 12.5 cm?
Q5
MCQ
1 mark
The ages of three girls are 10 years 5 months, 10 years 1 month and 11 years. Find the average age of these three girls.
Q5
Open-ended
2 marks
After a quiz, George and his team members calculated the average of their scores. They noted that if George could get 13 points more, they would have an average of 88 points. However if George scored 8 points less, their average score would become 85. How many members are there altogether in George's team?
Q6
Open-ended
3 marks
🖼 Visual
Study the figure below and find ∠FCB.
Q6
MCQ
1 mark
🖼 Visual
The table below shows the time taken by six runners to complete a 100-metre race.
Which two runners came in 1st and 3rd in position respectively?
Q7
Open-ended
3 marks
Jensen bought some pens and exercise books for $10.70. He bought 5 fewer pens than exercise books. Each pen cost $2.50 and each exercise book cost $0.40. How many pens did Jensen buy?
Q7
MCQ
1 mark
🖼 Visual
In the diagram below, AC and BD are straight lines. ∠FEC is half of ∠BEC. ∠DEC is 50°. What is ∠FEC?
Q8
Open-ended
3 marks
Zaini had some stamps. He gave his brother 2/5 of his stamps and an additional 28 stamps. Then he gave his sister 1/4 of the remaining stamps and found that he had 114 stamps left. How many stamps did Zaini have at first?
Q8
MCQ
1 mark
🖼 Visual
In the figure below, WXYZ is a trapezium. Given that ∠WXY = 132° and ∠ZYW = 37°, find ∠XYW.
Q9
MCQ
1 mark
Kathy has 11% more stickers than Rick. What is the ratio of the number of Rick's stickers to the number of Kathy's stickers?
Q9
Open-ended
3 marks
Mr Tan is (8k + 10) years old now. He has two children, Rosalynn and David. Mr Tan is twice as old as Rosalynn now. David is 2k years younger than Rosalynn. How old will Mr Tan be when David turns 18 years old?
Q10
MCQ
2 marks
Joan, Kimberly and Linda went for a party. Each of them brought some sweets. Linda brought k sweets. Joan brought 1/3 as many sweets as Linda. Joan brought 5 sweets less than what Kimberly brought. What was the total number of sweets the three girls brought?
Q10
Open-ended
3 marks
🖼 Visual
Benjamin had some wire. He bent the wire to form the figure shown below. It is made up 6 identical big circles and 4 identical small circles. The diameter of the big circle is twice the diameter of the small circle. The diameters of all the circles form two straight lines such that AB = CD = 84 cm. What was the length of wire that he used to form the figure? (Take π = 22/7)
Q11
Open-ended
4 marks
An empty rectangular tank has a capacity of 50.9 litres. Water flowed from two taps, Tap A and Tap B, into the tank at a rate of 2.5 litres per minute and 3.7 litres per minute respectively. Tap B was turned on after Tap A had been turned on for 3 minutes. Both taps were turned off at the same time once the tank was completely filled. How much water flowed from Tap B into the tank?
Q11
MCQ
2 marks
0.038 = 0.8 + □ – 0.882
What is the missing value in the box?
Q12
Open-ended
4 marks
🖼 Visual
The figure below shows two triangles, BCD and BCF. ABC is a straight line. Find ∠k.
Q12
MCQ
2 marks
🖼 Visual
The average mark scored by 4 girls was 79. Jenny scored 6 marks more than Fang Lin. How many marks did Jenny score?
Q13
MCQ
2 marks
🖼 Visual
Which of the following does not show the net of the triangular prism?
Q13
Open-ended
4 marks
At 7.30 a.m., a van started from Town A and travelled towards Town B at a speed of 60 km/h. The van did not change its speed throughout the entire journey. At 10.00 a.m., a motorcycle started from Town B and travelled towards Town A. The speed of the motorcycle remained the same until it passed the van at 11.30 a.m. At this point, the van had travelled 4/7 of the journey. After passing the van, the motorcycle reduced its speed by 20 km/h and travelled at the new speed for the remaining journey. How long did the motorcycle take to travel from Town B to Town A?
Q14
MCQ
2 marks
3/4 of a square is equal to 2/5 of a rectangle. Express the area of the rectangle as a fraction of the area of the square.
Q14
Open-ended
4 marks
Mrs Muthu had some apples and oranges in 2 baskets. In basket A, the number of apples to oranges was in the ratio 5 : 9. In basket B, there were thrice as many apples as oranges. After Mrs Muthu transferred 1/3 of the oranges from basket A to basket B, the number of fruits left in basket A was 187 and the ratio of the number of apples to oranges in basket B became 7 : 8. How many fruits are there in Basket B in the end?
Q15
MCQ
2 marks
🖼 Visual
The figure below is made up of two similar quadrants, four semicircles and a rectangle. The radius of the quadrant is 14 cm. What is the area of the shaded part? Leave your answer in terms of π.
Q15
Open-ended
4 marks
Mrs Lee read 40% of the pages of a book on Monday. On Tuesday, she read 20% of the remaining pages of the book. She then had 180 pages left unread. How many pages of the book did she have to read?
Q16
Open-ended
1 mark
Express 75 seconds as a fraction of 2 minutes in its simplest form.
Q16
Structured
5 marks
Leslie packed a total of 1016 oranges and papayas into 57 boxes. Oranges and papayas are packed in separate boxes. Each box can hold either 36 oranges or 8 papayas only.
a) How many papayas were there in all?
b) Given that each box of oranges was sold for $16.80, how much can Leslie collect from the sale of all the boxes of oranges?
Q17
Structured
5 marks
🖼 Visual
Study the pattern below and answer the questions, showing your workings clearly whenever possible.
a) What is the area of shaded triangle in Figure 4?
b) What is the number of columns of square grids in Figure 20?
c) In which figure would the area of shaded triangle be 2 312 square units?
Q17
Open-ended
1 mark
Subtract 2⅕ from the sum of 3¼ and 1⅞.
Q18
Open-ended
5 marks
🖼 Visual
A special water tank is made up of 3 containers A, B and C as shown below. The volume of container C is 18 litres when filled to its brim. The volume of each container is 2½ times lesser in volume than the one above. Mrs Lim filled the water tank with 26.7 litres of water. What is the height of the water level from the base of the water tank? (1 litre = 1000 cm³)
Q18
Open-ended
1 mark
🖼 Visual
The cuboid below is made up of 2 cubes joined together by glue. The side of each cube is 4 cm. Only one face of each cube is shaded grey as shown in the diagram below. How many of such cuboids are needed to get a total grey surface area of 256 cm²?
Q19
Open-ended
1 mark
🖼 Visual
The base of a rectangular container measures 40 cm by 15 cm as shown in the diagram below. The container is filled with orange juice to a height of 18 cm. When 1.2 litres of orange juice is added, the container is filled to its brim. What is the capacity of the container?
Q20
Open-ended
1 mark
🖼 Visual
Find the area of the shaded part. (Take π = 22/7)
Q21
Open-ended
1 mark
🖼 Visual
Study the pie chart below carefully and answer questions 21 and 22.
The pie chart shows Josephine's spending on Sunday. She spent a total of $400 on the four different items.
How much money did Josephine spend on the handbag?
Q22
Open-ended
2 marks
🖼 Visual
The amount Josephine spent on cosmetics was thrice the amount she spent on food. Find the ratio of the amount she spent on food to the total amount spent on cosmetics and the dress.
Q23
Open-ended
1 mark
🖼 Visual
The figure below is made up of squares. Shade 3 more squares so that the figure has a line of symmetry.
Q24
Open-ended
1 mark
🖼 Visual
The diagram below shows the net of a cube. Which face is directly opposite to K when the net is folded to form the cube?
Q25
Open-ended
1 mark
🖼 Visual
The figure below is made of identical rectangles. How many more rectangles must be shaded so that 80% of all the rectangles are shaded?
Q26
Open-ended
2 marks
0.576 x 10 has the same value as 5 760 ÷ □
Find the missing value in the box.
Q27
Open-ended
2 marks
🖼 Visual
The following figure is not drawn to scale. Given that ABCD is a parallelogram and ADE is an isosceles triangle, find ∠y.
Q28
Open-ended
2 marks
Peishan spent 7/10 of her money on 15 mangoes and 5 pears. If 1 pear cost ½ as much as a mango, how many pears could Peishan buy with the rest of her money?
Q29
Open-ended
2 marks
🖼 Visual
9 identical rectangles measuring 7 cm by 2 cm are arranged as shown below. What is the perimeter of the figure?
Q30
Open-ended
2 marks
Susie wants to buy a handbag with her savings. If she increases her savings by 10% she will still need $14.00 more to buy the handbag. If she increases her savings by 45% she will have $7.00 in excess. What is the cost of the handbag?