Q1
MCQ
1 mark
What is the value of seven million, seven hundred and seven thousand, and seventy-seven?
P6 Mathematics SA2 2015 — Pei Hwa
Source: Pei Hwa, 2015
This P6 Mathematics SA2 paper from Pei Hwa (2015) covers measurement, money, percentage, geometry and angles, average, rate and speed and patterns and algebra 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.
Q1
Open-ended
2 marks
A tailor had 8 m of cloth. He used 3 2/5 m of the cloth to make the first pair of pants and 3/4 of the remainder to make a second pair of pants. How much cloth did the tailor use to make the second pair of pants?
Q2
Open-ended
2 marks
🖼 Visual
The figure below shows the net of a cuboid made of 4 identical rectangles and 2 identical squares. Find the volume of the cuboid.
Q2
MCQ
1 mark
Divide 1/2 by 1/8.
Q3
Open-ended
2 marks
The ratio of the number of Tevin's marbles to the number of Ryan's marbles was 7 : 3. When each of them gave 30 marbles away, the ratio of the number of Tevin's marbles to the number of Ryan's marbles was 3 : 1. Find the total number of marbles the boys had at first.
Q3
MCQ
1 mark
What is the value of 10 ÷ 5000?
Q4
MCQ
1 mark
Which of the following is the same as 2080 g?
Q4
Open-ended
2 marks
🖼 Visual
A fence is to be built 1 m away from the sides of a square field. Each side of the square is 3 p m. Find the total length of the fence needed. Give your answer in terms of p in the simplest form.
Q5
MCQ
1 mark
🖼 Visual
Hannah uses part of a ruler to measure the length of a pencil. What is the length of the pencil as shown in the figure above?
Q5
Structured
2 marks
🖼 Visual
The graph below shows the monthly average rainfall received from January to June in Singapore. (a) Between which two consecutive months was there the greatest increase in the average rainfall received in Singapore? (b) Based on your answer in (a), what is the percentage increase in the average rainfall received? Give your answer correct to 2 decimal places.
Q6
Open-ended
3 marks
A box contains 15 identical reams of paper. The total mass of the box with 1/5 of all the reams of papers is 33.6 kg lighter than the box with all the reams of paper. The mass of the empty box is 2/7 of a ream of paper. What is the mass of the empty box?
Q6
MCQ
1 mark
🖼 Visual
The figure below shows the net of a cube. Which 2 faces of the cube are opposite each other?
Q7
MCQ
1 mark
🖼 Visual
Each figure below is made up of 16 squares. 8 squares in each figure are shaded. Which of the following is a symmetric figure?
Q7
Open-ended
3 marks
🖼 Visual
In the figure below, not drawn to scale, ABCD is a rectangle of sides 36 cm by 19 cm. The area of the quadrilateral EFGH is 38 cm². Find the area of the unshaded part.
Q8
MCQ
1 mark
The total mass of a chicken and a duck is 8 kg. The chicken weighs 3 kg. What is the ratio of the mass of the chicken to that of the mass of the duck?
Q8
Open-ended
3 marks
🖼 Visual
The fish tank shown below contains some water to a depth of 5 cm. Minah then added 10.5 litres of water into the tank. The tank is now 3/4 filled with water. What is the height of the tank?
Q9
MCQ
1 mark
Express 12.3% as a decimal.
Q9
Open-ended
3 marks
🖼 Visual
In the diagram below, not drawn to scale, ABCD is a rhombus, and DEC is an equilateral triangle. If ∠DAC = 43°, find ∠CBE.
Q10
Open-ended
3 marks
🖼 Visual
The pie chart below shows the percentage of men, women and children who went to the stadium to watch a soccer match. There were 2880 men at the stadium. If each woman was accompanied by her own child at the stadium and the rest of the children went on their own, how many children went to the stadium by themselves?
Q10
MCQ
1 mark
Simplify 15 + 8g − 10 − 3g.
Q11
Open-ended
4 marks
Hansel sold purses and wallets. Each purse cost $39 and each wallet cost 2/3 as much as the purse. Hansel sold 1/3 of the items and collected $3757. If 3/7 of the items sold were purses, find the total number of items left.
Q11
MCQ
2 marks
Alfred had twice as many paper clips as Betty. Betty had 20 fewer paper clips than Charlene. If the three children had 68 paper clips altogether, how many paper clips did Betty have?
Q12
Open-ended
4 marks
There were a total of 312 candies in Box A, B and C. Some candies from Box B were removed and put into Box A and C and the number of candies in each of those 2 boxes was doubled. Then, some candies from Box C were removed and put into Box A and B and the number of candies in each of those 2 boxes was doubled. At the end, the number of candies in Box B is thrice of that in Box A while the number of candies in Box A is thrice of that in Box C. Find the number of candies in Box B at first.
Q12
MCQ
2 marks
Mrs Lim and Mrs Wong spent a total of $1200 during the Great Singapore Sale. 3/5 of what Mrs Lim spent was equal to 1/5 of what Mrs Wong spent. Who spent more and how much more did she spend?
Q13
MCQ
2 marks
🖼 Visual
Cubes of sides 1-cm are stacked in the corner of a box as shown below. How many more cubes are needed to make it into a cube of sides 4-cm?
Q13
Open-ended
4 marks
🖼 Visual
Mr Chua had a rectangular piece of cardboard. He cut out 3 semicircles, each with a diameter of 42 cm from the cardboard. The perimeter of the remaining piece of cardboard as shown below, not drawn to scale, is 462 cm. What is the length of XY? (Take π = 22/7)
Q14
MCQ
2 marks
🖼 Visual
In the figure, ABCD is a rectangle. ∠AFE is 43°. Find ∠FCD.
Q14
Structured
4 marks
🖼 Visual
In the figure, not drawn to scale, PQRS is a parallelogram and TUR is a triangle. If PT = PU, find (a) ∠TUR (b) ∠URQ.
Q15
MCQ
2 marks
🖼 Visual
Mrs Tan spent $360 on some clothing. The pie chart shows how she spent her money. How much money did she spend on skirts and shirts?
Q15
Open-ended
4 marks
At 4.30 p.m., Keith started cycling from Town A to Town B at an average speed of 60 m/min. At the same time, Maine started cycling from Town B to Town A at a constant speed. Keith had covered 3/5 of the distance when he passed Maine at 6.30 p.m. Find the distance between Town A and Town B.
Q16
Open-ended
1 mark
Find the value of 77 + (12 − 5 × 2) × 9 .
Q16
Structured
5 marks
🖼 Visual
The patterns below are made up of identical shaded and unshaded squares. (a) Find the total number of squares in Pattern 4. (b) Find the total number of shaded squares in Pattern 10. (c) Find the total number of unshaded squares in Pattern 43.
Q17
Open-ended
5 marks
A rectangular tank measuring 400 cm by 200 cm by 150 cm was 1/3 filled with water. A tap was turned on to fill the tank with water at a rate of 20 ℓ/min. Every 2 minutes after the tap was turned on, 8 ℓ of water was poured into the tank from a pail. How long did it take for the rectangular tank to be completely filled with water? Leave your answer as a mixed number in its simplest form.
Q17
Open-ended
1 mark
Express 3 2/9 as an improper fraction in the simplest form.
Q18
Open-ended
5 marks
In a ballroom, the ratio of the number of gold balloons to red balloons was 4 : 3. The ratio of the number of silver balloons to red balloons was 3 : 5. 10% of the gold balloons burst and another 132 silver balloons were added. As a result, the percentage of the number of red balloons became 20% of the total number of balloons. How many balloons were there in the ballroom at first?
Q18
Open-ended
1 mark
Find the value of 20 − 7.07.
Q19
Open-ended
1 mark
🖼 Visual
The volume of the cuboid shown below is 216 cm³. Find its length.
Q20
Open-ended
1 mark
Farhan reached Malacca at 04 25 after travelling for 7.5 hours. What time did he start travelling? Express your answer in 24-hour clock.
Q21
Open-ended
1 mark
🖼 Visual
Muthu is standing in the centre of 9 big tiles facing B. Which letter will he face when he turns 225° anti-clockwise?
Q22
Open-ended
1 mark
🖼 Visual
The figure below shows the net of a pyramid made up of 4 equilateral triangles, each of side 6 cm. Find the sum of all the edges of the pyramid.
Q23
Open-ended
1 mark
Express 75/500 as a percentage.
Q24
Open-ended
1 mark
🖼 Visual
The average speed taken to travel from A to C was 92 km/h. Find the time taken to travel from A to C.
Q25
Open-ended
1 mark
🖼 Visual
The graph below shows the monthly household income of some families in a housing estate. How many families have a monthly household income of more than or equal to $4000 per month?
Q26
Open-ended
2 marks
8 identical cups and 2 identical pots cost $80. Each pot costs six times as much as a cup. What is the cost of each teapot?
Q27
Open-ended
2 marks
🖼 Visual
The figure below is made up of identical squares. If the total area of the figure is 96 m², what is the perimeter of the figure?
Q28
Structured
2 marks
🖼 Visual
A unit shape is drawn below. The figure below is formed by joining some unit shapes to form a tessellation. Draw lines in the figure below to show all the unit shapes that formed the tessellation.
Q29
Open-ended
2 marks
Alvin had 20% more money than Simon. Theodore had 40% more money than Alvin. If Theodore had $840, how much did the person with the least amount of money have?
Q30
Open-ended
2 marks
🖼 Visual
The table below shows the ages of three sisters. Find the average age of the three sisters.