Q1
MCQ
1 mark
Round off 145.105 to the nearest hundredth.
P6 Mathematics SA2 2017 — Methodist Girls
Source: Methodist Girls, 2017
This P6 Mathematics SA2 paper from Methodist Girls (2017) covers measurement, geometry and angles, patterns and algebra, ratio, percentage and area and perimeter across 48 questions worth 99 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
Open-ended
2 marks
The average mass of Mark, Steven and Raju is 65 kg. The mass of each of these 3 boys is a whole number. Mark and Steven have the same mass. Raju's mass is less than 71 kg. What is the largest possible mass of Raju?
Q2
Open-ended
2 marks
🖼 Visual
The figure below shows a cuboid. The volume of the cuboid is 780 cm³. Find the perimeter of the shaded face of the cuboid.
Q2
MCQ
1 mark
Which of the following is the most likely height of the desk in a classroom?
Q3
Open-ended
2 marks
🖼 Visual
Two wheels, with centres A and B, are rolled along a straight line in opposite directions. Each wheel makes 3 completed revolutions before touching Wall X and Wall Y. The diameter of each wheel is 62 cm. What is the distance between Wall X and Wall Y in terms of π? (Give answer in cm.)
Q3
MCQ
1 mark
Sally paid $12 for 30 identical pencils. What was the cost of each pencil?
Q4
MCQ
1 mark
Which one of the following fractions is less than 1/3?
Q4
Open-ended
2 marks
🖼 Visual
In the figure below, ABC is a triangle and EBF is a straight line. AC is parallel to EF and AB = AD. Find ∠y.
Q5
Open-ended
2 marks
Mrs Raju bought some files. She gave 100 files to her pupils and 3/7 of the remainder to Ms Lim. The number of files left was 1/3 of the number of files she had at first. How many files did Mrs Raju buy at first?
Q5
MCQ
1 mark
🖼 Visual
In the scale below, what is the value of Y?
Q6
MCQ
1 mark
Express 36 minutes as a percentage of 2 hours.
Q6
Structured
3 marks
🖼 Visual
A 2-m string was used to form the figure below. (a) Express the length of the string that was used to form the figure in terms of w. (b) If w = 4, what was the length of the remaining string? Give your answer in centimetres.
Q7
MCQ
1 mark
🖼 Visual
Which of the following is not a net of the solid below?
Q7
Open-ended
3 marks
🖼 Visual
The figure below is made up of 2 triangles. The ratio of the length of BD to the length of DE to the length of EC is 2 : 3 : 2. DE is 12 cm. The shaded area of the figure is 60% of the area of Triangle ABC. What is the area of the unshaded part?
Q8
MCQ
1 mark
Find the value of 17b/5 − 2b + 3 when b = 4.
Q8
Open-ended
3 marks
Tank X with a rectangular base measuring 120 cm by 80 cm was filled with water to a height of 15 cm. When 30 ℓ of water was removed from the tank, the water level dropped to 3/5 of the height of the tank. What was the capacity of the tank?
Q9
Open-ended
3 marks
🖼 Visual
Mary went to the market and bought 650 g of cod, 0.6 kg of prawns and 1 080 g of squid. She gave the fishmonger $100. How much change did Mary receive? Give your answer to the nearest ten-cent. (Prices per kg: Prawns $23.50, Cod $68.00, Squid $17.25.)
Q9
MCQ
1 mark
🖼 Visual
In the figure below, ABCD is a parallelogram and XYZ is a triangle. Find the value of ∠p + ∠q + ∠r + ∠s.
Q10
Open-ended
3 marks
John left Admiralty Town at 11.30 a.m. for Bukit Town which was 35 km away. At the same time, Bala left Bukit Town for Admiralty Town. Bala's speed was 16 km/h faster than John's speed. They travelled along the same route. Fifteen minutes later, they were 10 km apart, after passing each other. Find Bala's average speed.
Q10
MCQ
1 mark
Mrs Lim bought 1.4 m of ribbon to make 5 bows. What was the length of the ribbon used for each bow?
Q11
Open-ended
4 marks
🖼 Visual
The figure below is made up of 2 squares and a triangle. 1/4 of the smaller square is shaded and 1/3 of the triangle is shaded. The ratio of the area of the small square to the area of the big square to the area of the triangle is 1 : 3 : 2. What fraction of the big square is shaded?
Q11
MCQ
2 marks
There are 54 girls and 36 boys in a school choir. All of them are arranged such that there are the same number of pupils in each row. Each row is made up of either all girls or all boys. What is the greatest number of pupils in each row?
Q12
Open-ended
4 marks
Ahmad and David collected some toy cars. The ratio of the number of Ahmad's toy cars to the number of David's toy cars was 8 : 11. Both of them gave away an equal number of toy cars. In the end, the ratio of the number of Ahmad's toy cars to the number of David's toy cars became 9 : 14. What percentage of his toy cars did Ahmad give away?
Q12
MCQ
2 marks
Shu Ning bought 5/6 kg of minced meat. She gave 1/4 of it to her neighbour and 1/3 of the remainder to Ali. How much minced meat had Shu Ning left?
Q13
MCQ
2 marks
There were 1600 participants at a conference. 80% of them were female. Some female participants left the conference and the ratio of the number of female participants to the number of male participants became 7 : 4. How many female participants left the conference?
Q13
Structured
4 marks
🖼 Visual
In the figure below, OABC is a parallelogram and OA = OE = OF. ADF is a right-angled triangle and AOF is a straight line. (a) Find ∠OCB. (b) Find ∠CFE.
Q14
MCQ
2 marks
🖼 Visual
In the figure below, ABC is an equilateral triangle. AE and BD are straight lines. Find ∠f.
Q14
Open-ended
4 marks
🖼 Visual
The figure below is made up of a big circle, a small circle and a square. The corners of the square touch the circumference of the big circle. The radius of the small circle is 8 cm. The area of the square is 256 cm². Find the area of the shaded part. (Take π = 3.14)
Q15
Structured
4 marks
🖼 Visual
The line graph below shows the sale of cars in a showroom from January to June. Study the graph and answer the questions. (a) Between which 2 months was there the biggest drop in the sale of cars? (b) In which month was the sale of cars 1 1/2 times that of March? (c) What was the average number of cars sold per month from January to June?
Q15
MCQ
2 marks
🖼 Visual
The figure below is made up of a quadrant and 2 identical semicircles. AC is twice of AD. What is the perimeter of the shaded figure below? (Take π = 22/7)
Q16
Open-ended
1 mark
Write one million, twenty thousand and three in numerals.
Q16
Structured
5 marks
🖼 Visual
The pattern below shows a series of hexagons which are made using beads and strings. Study the pattern and answer the questions that follow. (a) How many beads are there in Pattern 5? (b) Which pattern number will have 253 beads? (c) Ahmad wants to make a pattern consisting of 43 hexagons. He has 151 beads. How many more beads does he need?
Q17
Open-ended
1 mark
Find the value of 7 056 ÷ 7.
Q17
Structured
4 marks
In a library, there were 160 books on Bookshelf A. Bookshelf B had 15% fewer books than Bookshelf A. The librarian added more books to Bookshelf B and the number of books on Bookshelf B increased by 25%. Some books from Bookshelf A were borrowed by some children and the number of books on Bookshelf A decreased by 10%. (a) How many books were there on Bookshelf B after the librarian had added more books? (b)(i) Was there an overall increase or decrease in the total number of books? (ii) What was the percentage increase or decrease in the total number of books? Give your answer correct to the nearest whole number.
Q18
Open-ended
5 marks
🖼 Visual
A tank measuring 50 cm by 30 cm by 70 cm was completely filled with water at first. Tap Y was then turned on and water flowed out at a rate of 1.2 ℓ per minute. After 10 minutes, Tap X was turned on and water filled the tank at a rate of 800 cm³ per minute. Tap Y was still running when Tap X was turned on. Find the height of the water in the tank after Tap X had been running for 30 minutes.
Q18
Open-ended
1 mark
A : B = 5 : 6 and B : C = 2 : 5. What is the ratio of A : C?
Q19
Open-ended
1 mark
🖼 Visual
The shaded figure below shows an incomplete net of a cube. Shade the square(s) needed to complete the net of a cube.
Q20
Open-ended
1 mark
The average of 5 numbers is 8. When one of the numbers was removed, the average became 9. What is the value of the number that was removed?
Q21
Open-ended
1 mark
Express 1/11 as a decimal to 2 decimal places.
Q22
Open-ended
1 mark
Find the value of 2 4/9 − 2/3. Give your answer as a mixed number in its simplest form.
Q23
Open-ended
1 mark
🖼 Visual
In the diagram, a ship is at point B facing the lighthouse. The lighthouse is north of the ship. The captain of the ship turns the ship 135° anticlockwise. Which direction is the ship facing now?
Q24
Open-ended
1 mark
A cheetah can run at an average speed of 120 km/h. How long will it take for the cheetah to run a 42-km marathon? (Give answer in min.)
Q25
Open-ended
1 mark
🖼 Visual
The figure below shows a right-angled triangle EFG. Construct 2 lines, HG and HE, such that ∠HGE = 40° and HEFG is a trapezium.
Q26
Structured
2 marks
🖼 Visual
The pie chart below shows the Co-curricular Activities (CCA) that the Primary 6 pupils of Sophia Primary School participated in. There are 240 pupils in Primary 6. The number of pupils who participate in the Performing Arts and the Uniformed Group are the same. (a) What fraction of the pupils participated in the Performing Arts and Uniformed Groups? (b) 20% of the pupils were in the Clubs CCA. How many pupils participated in Sports?
Q27
Open-ended
2 marks
There were two boxes containing yellow and red beads. Each box had the same total number of beads. In Box A, the ratio of the number of yellow beads to the number of red beads was 5 : 1. In Box B, the ratio of the number of yellow beads to the number of red beads was 6 : 1. All the beads were then transferred into an empty container. What was the ratio of the number of yellow beads to the number of red beads in the container in the end?
Q28
Open-ended
2 marks
🖼 Visual
A rectangular piece of paper is folded at one of the corners as shown in the diagram below. Find the area of the shaded part.
Q29
Open-ended
2 marks
🖼 Visual
In the figure below, ABCD is a rhombus and CDE is an isosceles triangle. ∠CDE = 39° and BCE is a straight line. Find ∠x.
Q30
Open-ended
2 marks
What is the greatest number of cuboids 5 cm by 3 cm by 3 cm that can fit into a carton 40 cm by 30 cm by 20 cm?