This P6 Mathematics SA2 paper from Rosyth (2018) covers measurement, geometry and angles, money, area and perimeter, ratio and percentage across 47 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
(Paper 2, ____) Tricia had 70 chocolates. She gave 3w chocolates to her brother. Then she gave the rest equally to her 5 cousins. How many chocolates did each cousin receive? Leave your answer in terms of w.
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(Paper 2, ____) Mrs Pradeep bought some flour. She used 2 1/5 kg of the flour and gave 3/7 of the remaining flour to her sister. In the end, she was left with 1 3/5 kg of the flour. How much flour did she buy at first?
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Arrange these distances from the longest to the shortest: 5.01 m, 0.55 km, 505 cm
Q3Structured2 marks🖼 Visual
(Paper 2, ____) Ariel was at a fun-fair. The table below shows the number of points which can be exchanged for tickets. Ariel wanted to win a soft-toy which required 80 tickets. How many points must Ariel get in order to exchange for her soft-toy?
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In the figure below, PS = RS. Find the area of triangle PQR.
Q4Structured2 marks
(Paper 2, ____) Miss Lee gave away an almond on Day 1. She increased the number of almonds given away every day by 100%. Find the ratio of the number of almonds given on Day 7 to the number of almonds given on Day 3. Give your answer in the simplest form.
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Ali travelled at an average speed of 60 km/h from home to his work place. He took 20 min for the journey. What was the distance travelled?
Q5Structured2 marks🖼 Visual
(Paper 2, ____) The average of the odd numbers below is 7. What odd number must be added so that the average of all the numbers becomes 10? [Numbers: 1, 3, 5, 7, 9, 11, 13]
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Which of the following nets can be folded to form a cube?
Q6Structured3 marks
(Paper 2, ____) A crate was filled with an equal number of apples and oranges. The apples were sold for $315 and the oranges were sold for $225. Each apple cost $0.20 more than each orange. How many oranges were sold?
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The opening hours of Chan's Clinic are shown below. How long is the clinic open each day?
Q7Structured3 marks
(Paper 2, ____) The ratio of the number of Dawn's stickers to the number of Evelyn's stickers was 1 : 4. After Dawn and Evelyn gave away 1/3 and 3/4 of their stickers respectively, they were left with 90 stickers altogether. How many stickers did they have at first?
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The table shows the number of students who travels to school using different modes of transport during school days. Which pie chart represents the data correctly?
Q8Structured3 marks
(Paper 2, ____) The average mass of 8 baskets of fruits at a zoo feeding station was 23 kg. Some baskets of fruits with an average mass of 20.4 kg were added. The average mass of all the baskets of fruits became 22 kg. How many baskets of fruits were added?
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Read the following statements and decide whether the statement(s) is/are Not always True, True or False. A. All four-sided shapes can always be divided into 2 triangles. B. There are no parallel lines in a trapezium. C. Every square is a parallelogram.
Q9Structured3 marks🖼 Visual
(Paper 2, ____) In the figure below, ABCD is a parallelogram and AE = AB. ∠BFC is a right angle. ∠FBC = 47° and ∠EAD = 25°. Find ∠x.
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The graph below shows the number of members in a fitness club over a period of time. Which month did the fitness club have the greatest increase in the number of members?
Q10Structured3 marks🖼 Visual
(Paper 2, ____) The figure below is made up of three quadrants and six identical squares. Each side of the squares is 1 cm. The length of OX is 6 cm. Find the perimeter of the shaded part. Take the calculator value of π and give your answer correct to 2 decimal places.
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(Paper 2, ____) Amos and his sister shared $1674. Amos spent 25% of his money and his sister spent 70% of her money. After that, Amos had twice as much money left as his sister. (a) How much did Amos have in the end? (b) What was the percentage decrease in the total sum of money?
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Mrs Tan had 15 kg of flour. She packed the flour equally into bags, each weighing 4/5 kg. How much flour was left unpacked?
Q12Structured4 marks
(Paper 2, ____) A bakery sold durian, chocolate and strawberry puffs in the ratio of 3 : 4 : 2. Each durian, chocolate and strawberry puff was sold for $5, $3 and $4. A total of $560 was collected on a Sunday afternoon. Find the amount of money collected from the sale of durian puffs.
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Thomas had a total of 600 red, blue and black pens. 2/5 of the pens were red. 1/5 of the remaining pens were blue. How many black pens were there?
Q13MCQ2 marks
In the equation below, find the number in the box. 0.5 × 240 = ? × 1200
Q13Structured5 marks🖼 Visual
(Paper 2, ____) Two identical T-shaped containers, P and Q, are shown below. Both of them have the same amount of water in it. (a) Find the volume of the water in container P. (b) Find the height of the water in container Q.
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A piece of paper in the shape of an equilateral triangle is folded along the dotted line as shown below. Find ∠x.
Q14Structured4 marks
(Paper 2, ____) In a donation drive, a class of 40 boys and girls helped to distribute some food items. Each boy distributed 4 bags while each girl distributed 3 bags. The boys distributed 62 more bags than the girls. How many boys were there?
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The figure below is made up of a rectangle and 3 identical circles. Find the area of the shaded part. Leave your answer in terms of π.
Q15Structured4 marks
(Paper 2, ____) Sam and Ben started swimming at the same time from the opposite ends of a 30-m swimming pool. Each boy would turn in the opposite direction and continue swimming upon reaching the end of the pool. The average speed of Sam was 1 m/s and the average speed of Ben was 0.6 m/s. How many times did they meet each other if they swam for 10 min? (Assuming that the turning time is neglected.)
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(Paper 2, ____) The figure below shows a triangle ABC drawn on a grid. (a) BCD is another triangle with the same area as triangle ABC. Draw BCD on the grid below such that BCD does not overlap with ABC. [2m] (b) Draw a 4-sided figure with the same area as triangle ABC in part (a). [2m]
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(Paper 2, ____) 25% of Elle's money was spent on 5 files and 10 erasers. The cost of each file was twice the cost of each eraser. Elle bought some more erasers with 40% of her remaining money. How many erasers did she buy altogether?
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The table below shows the parking charges of a carpark. First hour: $1.20. Every additional 10 minutes or part thereof: $0.80. How much does it cost to park from 3 p.m. to 5.06 p.m.?
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In a class, every group of 4 boys was given 6 stickers and every group of 3 girls was given 8 stickers. The class teacher gave the stickers to an equal number of boys and girls. What was the minimum number of stickers needed?
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The total cost of 3 apples and 2 pears is $(5y + 3). The cost of 2 apples is $2 more than the cost of 2 pears. What is the total cost of an apple and a pear? Express the answer in terms of y.
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Figure A is made up of 8 identical squares. There are 3 squares removed from Figure A to form Figure B. The perimeter of Figure B is 120 cm. What is the perimeter of Figure A?
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The square ABCD was cut into 5 parts. Given that the ratio of BE : EC is 1 : 1, the ratio of EF : FC is 1 : 2 and the ratio of DG : GC is 3 : 1. What fraction of the square is shaded?
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