This P6 Mathematics SA2 paper from Rosyth (2020) contains 47 questions worth 102 marks. Use it as a study reference for Mathematics topics typically tested at P6 level in Singapore schools.
Q1Open-ended2 marks
Uncle Bob sells bubble tea at $6.30 per cup of 700 ml. He only sells one size of bubble tea at his stall. Uncle Bob wants to make $1000 a day. What is the minimum number of cups he must sell?
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Miss Lee bought 8/9 kg of butter. 1/3 kg of butter was needed to bake a cake. She wanted to bake the greatest possible number of cakes. Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) to indicate your answer. Statement 1: The greatest number of cakes Miss Lee could bake was 2. Statement 2: After baking, Miss Lee had 2/3 kg of butter left.
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The average amount of money saved by Annie and Ben was $36. Annie saved three times as much as Ben. How much did Ben save?
Q3Structured4 marks🖼 Visual
The solid below is made up of 11 cubes. (a) Draw the side view of the solid on the grid below. (b) Norah painted the whole solid including the base. Then she took it apart into its 11 cubes. How many of the cubes have 2 of the faces painted?
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What is the possible mass of the watermelon in the figure below?
Q5Open-ended2 marks
There are two numbers. One is 3 times the other. They have exactly four common factors. Three of the common factors are 1, 3 and 7. What are the two numbers?
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A sum of money was shared among three girls, Maggie, Alice and Cecilia. Maggie received $m. Alice received twice as much money as Maggie. Cecilia received $55 less than Alice. (a) Express the amount of Cecilia's money in terms of m. (b) If m = 35, find the total sum of money shared by the three girls.
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Weng is facing East. He turns 225° in a clockwise direction. He then turns 45° in an anti-clockwise direction. Which direction is he facing now?
Q7Open-ended3 marks
Mr Chan bought some pots of plants at $15 each. He also bought an equal number of identical bags of soil for the plants. The average price of a pot of plant and a bag of soil was $12.50. Mr Chan paid $45 less for the bags of soil than the plants. How much did he spend on the plants?
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In the figure below, ABCD is a trapezium. EDC is a straight line. AB is parallel to DC. Find ∠DAB.
Q8Open-ended3 marks🖼 Visual
The figure below, not drawn to scale, is made up of a circle and a right-angled triangle XYZ. XY = YZ. XY is 20 cm. YZ is the diameter of the circle. Find the area of the shaded part. (Take π = 3.14)
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A rectangular tank measuring 60 cm long by 15 cm wide by 40 cm high was 1/3 filled with water at first. Devi filled 4 identical bottles with water to the brim. Then she poured all of the water from the bottles into the rectangular tank and the tank became 3/4 full. What was the capacity of each bottle?
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The table below shows the rental fees for skates. Cedelle rented a pair of skates from 10 am to 12 noon. How much did she pay?
Q11Open-ended4 marks
Alex and Benjamin were each given some stickers. Alex had four times as many stickers as Benjamin. After Alex gave away 203 stickers and Benjamin gave away 26 stickers, Benjamin had three times as many stickers left as Alex. How many more stickers did Alex have than Benjamin at first?
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A number when divided by 10 gives a remainder of 7. Which of the following can be added to the number to change it to a multiple of 5?
Q12Open-ended4 marks
Mel has a total of 648 black and white buttons. He has 360 more black buttons than white buttons. He puts all the black buttons equally into empty black boxes and puts all the white buttons equally into empty white boxes. There are thrice as many black boxes as white boxes. Each black box contains 4 more buttons than each white box. How many buttons are there in each white box?
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Mr Lim had $100. He bought 2 crabs which cost $30.50 each and some fishes which cost $23.70. How much money had he left?
Q13Structured4 marks🖼 Visual
The graph shows the number of visitors to the museum from January to June. a) In which one-month period was there the greatest change in the number of visitors to the museum? b) In month of June, for every adult visitor, two visitors were children. How many visitors were children in June? c) From January to February what was the percentage increase in the number of visitors to the meseum?
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Mdm Rosie sold only roses on Mother's Day. She sold 200 stalks of them in the morning and 2/5 of the remainder in the afternoon. After that, she had 1/2 of the roses left. How many stalks of roses did she sell in the afternoon?
Q14MCQ2 marks🖼 Visual
The figure below is made up of 4 identical circles inside a square. The length of the square is 28 cm. Find the perimeter of the shaded part. (Take π = 22/7)
Q14Structured4 marks🖼 Visual
The figure below shows a rectangle and 11 identical shaded circles. Each shaded circle is in contact with those next to it. The rectangle has a perimeter of 384 cm. a) Find the radius of one circle. b) More identical shaded circles are added. The whole rectangle is then covered with the maximum number of shaded circles. Find the area of the rectangle that is not covered by the shaded circles. (Take π = 22/7)
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A survey was conducted to find out the favourite snack of a group of 50 children. They could only pick one type of snack and each type was picked by at least one child. The table below showed the results of the survey. Given that the most popular snack is Mamee Monster and the least popular snack was prawn crackers, what was the greatest number of children who picked Potato chips?
Q15Open-ended4 marks🖼 Visual
The figure below is made up of a right-angled triangle ABE and two isosceles triangles ACF and CDF. AC = FC and DF = DC. Find ∠ABC.
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Yanti decorated the sides of a rectangular board with 16 buttons. The buttons were placed at an equal distance apart along all the sides of the board. The length of the board was 210 cm. The figure below shows part of her layout. a) What was the breadth of the rectangular board? b) After that, Yanti decided to use a combination of ribbons and buttons. She spent 1/4 of her money on 16 buttons and 4 ribbons. The cost of each ribbon is twice the cost of each button. Yanti bought some more ribbons with 1/2 of her remaining money. How many ribbons did she buy altogether in the end?
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Mdm Yap sold some T-shirts in March. The table below shows the number of T-shirts sold for size S and L but not size M and XL. (a) 50% of the T-shirts were in size L. The ratio of the number of T-shirts in size M to size XL is 5 : 11. How many of the T-shirts were in size M? (b) Mdm Yap sold all of her T-shirts in the size of S at the usual price and and all of her T-shirts in size M at a discount of 25%. She received a total of $1620 from the sale. The amount of money she received from the sale of the T-shirt in size M was $180 more than the sale of T-shirt in size S. What is the price difference in the cost of a T-shirt in size S and a T-shirt in size M at their usual price?
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The figure below, not drawn to scale, is formed using 2 identical squares, 2 identical large equilateral triangles and 2 identical small equilateral triangles. The length of the square is 15 cm. Find the perimeter of the figure.
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Nicole had some sugar. She used 1/5 kg of the sugar to make cupcakes and 1/3 of the sugar to make jelly. She had 140 g of sugar left. How many grams of sugar did Nicole have at first?
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The table below shows the month of April in one year. Mr Osman plans to attend a course 38 days after 12 April. Which day will he be attending the course?
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James cuts out a square and a triangle from a rectangular strip of paper as shown below. Square ABCD has an area of 81 cm². Square ABCD has same the perimeter as Triangle XYZ. XY is 12 cm and XZ is 14 cm. Find the area of Triangle XYZ.
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At a carnival, 5 boys played darts at 2 stations from 9 a.m. to 10.30 a.m. At any time, 2 of them played while the other 3 boys watched. If each of them had the same amount of time playing darts, how many minutes did each boy play the game?
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