Q1
MCQ
1 mark
The value of the digit 5 in 257 041 is ____.
P6 Mathematics SA2 2016 — Rosyth
Source: Rosyth, 2016
This P6 Mathematics SA2 paper from Rosyth (2016) covers measurement, money, area and perimeter, geometry and angles, patterns and algebra and average, rate and speed across 48 questions worth 101 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
MCQ
1 mark
6/18 = 15/▢. What is the missing number in the box?
Q3
MCQ
1 mark
A number becomes 80 000 when rounded off to the nearest thousand. Which one of the following could the number be?
Q4
MCQ
1 mark
What is the value of 60 ÷ 240?
Q5
MCQ
1 mark
🖼 Visual
Jacob wanted to fill up the box below with 1-cm cubes. He found out that he could only put 72 such cubes into the box. What is the minimum height of the container?
Q6
MCQ
1 mark
🖼 Visual
The figure below is made up of two identical squares. The perimeter of the figure is 60 cm. Find its area.
Q7
MCQ
1 mark
🖼 Visual
The table below shows the time taken by 4 swimmers to swim 200m before and after a month's training. Which swimmer made the most improvement?
Q8
MCQ
1 mark
🖼 Visual
Willy was facing the fountain when he first reached the park. He made a 3/4-turn anticlockwise. After making the turn, which direction was Willy facing?
Q9
MCQ
1 mark
A train took 10 h to travel from Town X to Town Y. It travelled at an average speed of 3y km/h. How many metres did the train travel?
Q10
MCQ
1 mark
🖼 Visual
The figure shows a solid. Which one of the following is not a net of the solid?
Q11
MCQ
2 marks
Jake had a total of 60 chocolates and sweets for sale. After selling 1/3 of the chocolates and 2/3 of the sweets, he had twice as many sweets left as chocolates. How many sweets did Jake sell?
Q12
MCQ
2 marks
A rectangular tank with base measuring 40 cm by 50 cm has a capacity of 100 litres. It is half-filled with water. Find the height of the water in the tank.
Q13
MCQ
2 marks
The total amount of money Muthu saved was $330. He had only $2 and $5 notes in his savings. The number of $2 notes was thrice the number of $5 notes. Find the value of the $2 notes.
Q14
MCQ
2 marks
🖼 Visual
In the figure, ABCD is a rhombus and BCE is a triangle. ∠BAD = 62° and ∠CED = 43°. Find ∠DCE.
Q15
MCQ
2 marks
Mr Lee took 6 hours to drive from Town X to Town Y while Mdm Ong took 4 hours to drive from Town Y to Town X. Both of them started driving at 9 a.m., what time did the two of them pass each other?
Q16
Open-ended
1 mark
Find the value of 50.5 − 7.98.
Q17
Open-ended
1 mark
Find the value of 3 + 4/5 − 1/2. Give your answer as a mixed number in the simplest form.
Q18
Open-ended
1 mark
Find the value of 55 − (15 + 8) − 6 × 3.
Q19
Open-ended
1 mark
The volume of a cuboid with a base area of 60 cm² is 1380 cm³. What is the height of the cuboid?
Q20
Open-ended
1 mark
A rectangle has an area of 7.5 m². The length is 3 m. What is the breadth of the rectangle?
Q21
Open-ended
1 mark
Mrs Trina bought 6 apples for $12 and 5 pears for $7. How much more did an apple cost than a pear?
Q22
Open-ended
2 marks
Primary 4 and Primary 5 students participated in a school fund raising event. There are an equal number of Primary 4 boys and Primary 5 boys. 5/12 of the Primary 4 students and 1/6 of the Primary 5 students are boys. There are 84 students altogether. How many male students are there altogether?
Q23
Open-ended
1 mark
At the supermarket, all items have to be charged a 7% GST. The price of a pack of diapers without GST is $20. If Mr Lee wants to buy a pack of diapers, how much does he need to pay?
Q24
Open-ended
1 mark
🖼 Visual
Draw three straight lines to form a symmetric figure with AB as the line of symmetry.
Q25
Open-ended
1 mark
🖼 Visual
In the figure below, ∠f = 126° and ∠h = 104°. Find the sum of ∠a, ∠b, ∠c and ∠d.
Q26
Structured
2 marks
🖼 Visual
The table below shows the stamps Ahmad and Sam had. a) Complete the table. [1] b) What fraction of the total number of stamps were Singapore stamps? Give your answer in the simplest form.
Q27
Open-ended
2 marks
Find the volume of a cube if the total surface area of a cube is 216 cm².
Q28
Open-ended
2 marks
🖼 Visual
The bar graph below shows the number of chickens sold at a market over 4 days. How many more chickens would need to be sold on Wednesday for the average number of chickens sold to be 45?
Q29
Open-ended
2 marks
Nancy cut squares from a rectangular cardboard measuring y metres by 2 metres. Each square had an area of 400 cm². What was the maximum number of squares she had cut?
Q30
Open-ended
2 marks
🖼 Visual
The pie chart represents the different kinds of ice-cream flavours sold by Mdm Chua. 3/7 of the ice-cream sold were strawberry ice-cream. She sold 40 more chocolate ice-cream than strawberry ice-cream. How many strawberry ice-cream did she sell?
Q31
Open-ended
2 marks
(Paper 2, ____) During a school event, 16 prefects stood in a straight row at equal distances from each other. The distance between the fourth and eleventh pupil was 16.73 m. What was the distance between the first and last pupil?
Q32
Open-ended
2 marks
(Paper 2, ____) Roy had some pens. 20% of them are red and the rest are black. He sold half of his red pens and 20% of his black pens. What percentage of his pens was sold?
Q33
Open-ended
2 marks
(Paper 2, ____) The average number of durians in 5 baskets was 53. When another basket of durians was added, the average number of durians became 49. How many durians were there in the last basket?
Q34
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) The figure below shows 8 identical cubes which are glued together to form a solid. The whole solid, including the base, is then painted green. How many faces are not painted green?
Q35
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) The figure below is formed by overlapping a square BGFE and a rectangle ABCD. Given that C is the centre of the square and E is the mid-point of DC, what fraction of the figure is unshaded? Give your answer in the simplest form.
Q36
Open-ended
3 marks
(Paper 2, ____) Mabel left her house for work at 8 a.m. After driving for some time, she passed her father who was driving at an average speed of 68 km/h in the opposite direction. After driving for another 45 minutes, Mabel reached her work place while her father was 3 km away from their house. Given that Mabel reached her work place at 9.15 a.m., what was her average speed?
Q37
Open-ended
3 marks
(Paper 2, ____) Mr Shah spent 1/4 of his money on 7 pens and 9 highlighters. Each pen cost 3 times as much as a highlighter. He bought some more pens with 2/3 of his remaining money. How many pens did Mr Shah buy altogether?
Q38
Open-ended
3 marks
(Paper 2, ____) A tank which is 5/7 filled with water has a total mass of 231 kg. The same tank has a total mass of 183 kg when it is 1/3 filled with water. Find the mass of the empty tank.
Q39
Open-ended
3 marks
🖼 Visual
(Paper 2, ____) The table below shows the number of pupils from 5 classes attending a holiday camp. The total number of students from the 5 classes was less than 100. If they are grouped into teams of 5 pupils each, 1 pupil is left out. If they are grouped into teams of 7 pupils each, 5 pupils are left out. How many pupils are there in class 4C?
Q40
Open-ended
3 marks
(Paper 2, ____) Mrs Siva baked a total of 315 butter and chocolate cookies in the ratio of 7 : 8 respectively. After she sold an equal number of each type of cookie, the ratio of the number of butter cookies left to the number of chocolate cookies left became 2 : 5. How many cookies did she sell altogether?
Q41
Structured
3 marks
🖼 Visual
(Paper 2, ____) In the square grid below, AB and BC are straight lines. a) Measure and write down the size of ∠ABC. b) AB and BC form two sides of a parallelogram ABCD. AB is parallel to CD. Complete the drawing of parallelogram ABCD.
Q42
Open-ended
4 marks
(Paper 2, ____) Charles and Keith went shopping with $174.50 and $124.50 respectively. Each of them paid the same amount of money for a bag and a T-shirt. As a result, Charles had 3 times as much money left as Keith. Given that the bag cost 4 times as much as the T-shirt, find the cost of the bag.
Q43
Structured
4 marks
🖼 Visual
(Paper 2, ____) When 41 472 cm³ of water was poured into an empty rectangular tank of height 54 cm, 4/9 of the rectangular tank was filled. (a) Find the base area of the rectangular tank. (b) When some water from this rectangular tank was transferred into another empty rectangular container which had a base area of 270 cm², the water level in the rectangular tank became 21.5 cm, what was the water level in the rectangular container?
Q44
Open-ended
4 marks
(Paper 2, ____) Jimmy set a target score for his Math test. After the Math teacher returned his test paper to him, he realised that if he increased his target score by 10%, he would need 1 more mark to reach his actual test score. If he increased his target score by 15%, this target score would exceed his actual test score by 3 marks. Find his actual test score.
Q45
Structured
5 marks
🖼 Visual
(Paper 2, ____) The figure below is drawn on a square piece of paper as shown below. The length is 12 cm. Its outline consists of a rectangle, a large semicircle and 2 identical smaller semicircles. a) What is the perimeter of the figure? b) What is its area? Take π = 3.14.
Q46
Open-ended
5 marks
(Paper 2, ____) At a market, apples were sold at 5 for $3.30 and mangoes were sold at 4 for $6.80. Akiel bought an equal number of apples and mangoes and he paid $62.40 more for the mangoes than for the apples. How much did he pay for all the fruits he bought?
Q47
Structured
5 marks
🖼 Visual
(Paper 2, ____) The pattern shown below is made up of rectangles, grey circles and white circles. The table shows the number of rectangles, grey circles and white circles for each figure. a) Complete the table by indicating the number of grey circles needed for Figure 20. [1] b) Find the number of white circles in Figure 37. c) Find the number of rectangles when there are 150 grey circles.
Q48
Open-ended
5 marks
(Paper 2, ____) Julie's weekly allowance is $11.80 more than Steven's. Steven spends $12.50 more than Julie every week. Julie spends 5/11 of her allowance every week. Steven saves 1/2 as much as Julie every week. How much did Steven spend after 7 weeks?