Q1
MCQ
1 mark
🖼 Visual
The figure below shows a trapezium. Which one of the following options is correct?
P6 Mathematics SA2 2014 — Nanyang
Source: Nanyang, 2014
This P6 Mathematics SA2 paper from Nanyang (2014) covers measurement, patterns and algebra, percentage, money, average, rate and speed and decimals 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
Shirley had 395 stamps. Her father gave her some stamps and she had 510 stamps in the end. How many stamps did her father give her?
Q3
MCQ
1 mark
Arrange the following numbers in ascending order.
3241 , 2413 , 3421 , 2431
Q4
MCQ
1 mark
Round off 4.746 to 2 decimal places.
Q5
MCQ
1 mark
How many common factors are there between 12 and 18?
Q6
MCQ
1 mark
A tank, 50 cm by 20 cm by 20 cm, was completely filled with water. Find the volume of the water in the tank.
Q7
MCQ
1 mark
🖼 Visual
The figure below shows the net of a cube. Which face is opposite to face D when the net is folded to form a cube?
Q8
MCQ
1 mark
A group of children attended a party. The ratio of the number of boys to the number of girls was 5 : 3. What fraction of the total number of children were girls?
Q9
MCQ
1 mark
Find the value of $1008.72 ÷ 9.
Q10
MCQ
1 mark
What is 25% of $360?
Q11
MCQ
2 marks
🖼 Visual
The solids shown below are formed by cubes of different dimensions. Find the difference in volume between the two solids.
Q12
MCQ
2 marks
Simplify 11p + 3p × 2 + 5.
Q13
MCQ
2 marks
🖼 Visual
The pie chart below shows the types of cupcakes sold by a bakery. A total of 165 vanilla and strawberry cupcakes were sold. How many blueberry cupcakes were sold?
Q14
MCQ
2 marks
It takes 5 minutes to fill an empty cubical tank measuring 2 m by 2 m by 2 m completely with Tap Z. How long does it take Tap Z, flowing at the same rate, to fill an empty tank measuring 4 m by 6 m by 8 m completely with water?
Q15
MCQ
2 marks
🖼 Visual
Ali and Tim were standing in a school field as shown in the grid below. Ali was facing south-east and Tim was facing north. How many degrees clockwise must Ali and Tim both turn in order to face each other?
Q16
Open-ended
1 mark
Express 17 kg and 50 grams in kg.
Q17
Open-ended
1 mark
Find the value of 1 2/3 + 2 3/4.
Q18
Open-ended
1 mark
🖼 Visual
In the figure below, find ∠x.
Q19
Open-ended
1 mark
Meiqi jogged 1.5 km in 10 minutes. Express her jogging speed in m/s.
Q20
Open-ended
1 mark
Raj and Pradeep shared a bag of candies in the ratio 2 : 5. There were 70 candies in the bag. How many candies did Raj receive?
Q21
Open-ended
1 mark
Find the value of 498 × 67.
Q22
Open-ended
1 mark
Kumar started doing his homework at 2.55 p.m. and finished only at 4.15 p.m. How long did he spend doing his homework?
Q23
Open-ended
1 mark
Which digit in 231.405 is in the hundredths place?
Q24
Open-ended
1 mark
🖼 Visual
The figure below is made up of squares. Shade two more squares so that the figure has a line of symmetry.
Q25
Open-ended
1 mark
Find the product of 3 7/8 × 6. Give your answer in the simplest form.
Q26
Open-ended
2 marks
🖼 Visual
The figure below shows rectangle ABCD and 3 shaded triangles. The total area of the shaded parts is 300 cm². Given that AB // EF // DC and BC is 10 cm, find AB.
Q27
Structured
2 marks
🖼 Visual
The pattern in the box below shows part of a tessellation.
(a) Shade the unit shape in the above tessellation.
(b) Extend the tessellation by drawing two more unit shapes completely in the space provided in the box.
Q28
Open-ended
2 marks
Yiling was m years old 2 years ago. Her brother is 3 years older than her. Find, in terms of m, the sum of their ages now.
Q29
Open-ended
2 marks
🖼 Visual
The table below shows Weiwei's marks for 4 subjects. Part of the table is covered with ink. She scored 10 more marks in Mathematics than in Science. How many marks did she score in Mathematics?
Q30
Open-ended
2 marks
The capacity of Cylinder A is 2/3 the capacity of Cylinder B. Both cylinders are filled to the brim with a mixture of water and oil. 1/2 of the mixture in Cylinder A is oil and 5/6 of the mixture in Cylinder B is oil. What fraction of the total mixture in Cylinder A and Cylinder B is oil?
Q31
Open-ended
2 marks
🖼 Visual
The figure below shows a cube. The total length of all the edges of the cube is 156 cm. Find the area of the shaded face.
Q32
Open-ended
2 marks
Jerome had 40 marbles. He bought another 10 marbles. What is the percentage increase in the number of marbles?
Q33
Open-ended
2 marks
🖼 Visual
Square ABCD shown below is made up of 3 identical rectangles and has an area of 81 cm². The figure below is formed using the 3 identical rectangles. What is the perimeter of Figure 2?
Q34
Open-ended
2 marks
The average mass of 6 pupils was 40 kg. The average mass of the first 4 pupils was 12 kg more than the average mass of the remaining 2 pupils. Find the average mass of the remaining 2 pupils.
Q35
Open-ended
2 marks
There was a total of 138 adults standing in a queue for parade tickets. There were 5 men standing between every 2 women. What was the least possible number of women in the queue?
Q36
Open-ended
3 marks
🖼 Visual
In the figure below, AD and CD form two sides of a trapezium ABCD. Given that ∠BCD = 45°, complete the drawing of trapezium ABCD. Label your drawing.
Q37
Open-ended
3 marks
Kim and Kathy received some money. Kim had 55% of the amount of money they received. After spending 40% of her share, Kathy had $54 left. How much did Kim receive?
Q38
Open-ended
3 marks
There were 42 people at a party. 8 of them were men and 15 of them were women. The number of women was thrice the number of girls and the remaining were boys. How many males were there at the party?
Q39
Open-ended
3 marks
A van and a car started travelling from Town X to Town Y at the same time. After 5 hours, the car reached Town Y while the van covered only 7/10 of the journey. The speed of the van was 21 km/h less than the speed of the car. Find the speed of the van.
Q40
Open-ended
3 marks
At a party, there were twice as many boys as adults, thrice as many adults as girls. Every boy was given 12 sweets, every girl was given 26 sweets and the adults were not given any. A total of 2254 sweets were given out altogether. How many adults were there at the party?
Q41
Structured
4 marks
🖼 Visual
The graph below shows the number of cars sold from July to December.
(a) Find the percentage decrease in sales from November to December, correct your answer to 1 decimal place.
(b) In which month(s) was the number of cars sold more than the average number of cars sold from July to December?
Q42
Structured
4 marks
🖼 Visual
In the figure shown below, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 78° and ∠FGH = 92°.
(a) Find ∠CGD.
(b) Find ∠GFE.
Q43
Open-ended
4 marks
Yusof had $576 more than Suhailah at first. After Yusof spent 7/10 of his money and Suhailah spent 13/20 of her money, Yusof had $37.40 more than Suhailah. How much did Suhailah have at first?
Q44
Open-ended
4 marks
🖼 Visual
Mei Mei poured some water into Tank A and Tank B until the water levels in both tanks were the same. She then realised that the total amount of water in both tanks was 19 200 ml. She then poured another 1200 ml of water into Tank A to fill it up completely. What was the height of Tank A?
Q45
Structured
4 marks
🖼 Visual
Study the following pattern.
(a) In which column will the number 80 appear?
(b) What number will appear in Row 99 Column D?
Q46
Open-ended
5 marks
Printer A prints at a rate of 105 pieces of paper in every 3 minutes and Printer B prints at a rate of 136 pieces of paper in every 4 minutes. At 2 p.m., both printers started printing. After a while, Printer A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Printer B continued printing during this time. At 4 p.m., the total number of pieces of paper printed during the past two hours was 7930. Express the number of pieces of paper printed by Printer A as a percentage of the total number of pieces of paper printed by both printers. Round off your answer to 2 decimal places.
Q47
Open-ended
5 marks
The ratio of the number of twenty-cent coins to the number of fifty-cent coins in a box was 5 : 3. 60 twenty-cent coins were taken out and exchanged for fifty-cent coins of equal value. The money was then put back into the box. The ratio of the number of twenty-cent coins to the number of fifty-cent coins became 1 : 3. How much money was there in the box?
Q48
Open-ended
5 marks
🖼 Visual
The figure below is made up of a big quadrant OBD, a small quadrant OAE and a square ACEO. The radius of the big quadrant OBD is 12 cm. The area of the big quadrant OBD is twice the area of the small quadrant OAE. Using the calculator value of π, find the area of the shaded parts, correct to 2 decimal places.