Q1
Open-ended
2 marks
How many common factors of 44 and 88 are there?
P6 Mathematics SA2 2019 — Tao Nan
Source: Tao Nan, 2019
This P6 Mathematics SA2 paper from Tao Nan (2019) covers measurement, percentage, money, area and perimeter, geometry and angles and average, rate and speed across 47 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
MCQ
1 mark
Round 588 619 to the nearest thousand.
Q2
MCQ
1 mark
Which of the following is equal to 11/4 ÷ 1/4 ?
Q2
Open-ended
2 marks
🖼 Visual
The figure below shows 2 identical squares. The shaded area is 15% of each square. Find the ratio of the shaded area to the area of the figure.
Q3
Open-ended
2 marks
🖼 Visual
The following drawing shows an incorrect net of a cube. Mark 'X' on the face(s) which is/are incorrect.
Q3
MCQ
1 mark
Which of the following is the same as 20 kg 30 g?
Q4
Open-ended
2 marks
Mrs Tan is 4 times as old as her son. Her son is 8 years old. In how many years' time would her son be 1/3 of Mrs Tan's age?
Q4
MCQ
1 mark
Express 10 1/20 as a decimal.
Q5
Open-ended
2 marks
🖼 Visual
The figures are made up of squares. Study the pattern. How many squares are there in Figure 13?
Q5
MCQ
1 mark
Which of the following is greater than 7/8 ?
Q6
Open-ended
3 marks
🖼 Visual
A bottle of body wash costs $11 and a bottle of shampoo costs $18. During a sale, 2 bottles of body wash and a bottle of shampoo are sold at a discounted price of $32. What is the percentage discount given during the sale?
Q6
MCQ
1 mark
The diameter of a wheel is 56 cm. What is the circumference of the wheel? (Take π = 22/7)
Q7
MCQ
1 mark
Siti is facing north-east after turning 270° anti-clockwise. What direction was she facing at first?
Q7
Structured
3 marks
A leaking tap leaks 2 mℓ of water in 1 second. a) How many litres of water is wasted if the tap leaks for a whole day? b) If the water costs 20 cents per litre, how much would the wasted water cost?
Q8
MCQ
1 mark
There are 35 students in a class. 15 of them are girls while the rest are boys. What is the ratio of the number of boys to the number of girls in the class?
Q8
Open-ended
3 marks
Mr Chan drove from Town M to Town P at a speed of 65 km/h. Mr Lim drove 340 km from Town P to Town Q at a speed of 85 km/h. If both drivers took the same time to drive to their respective destinations, what is the distance between Town M and Town P?
Q9
MCQ
1 mark
After spending 60% of his savings on some books, Peter has $400 left. How much did he spend on the books?
Q9
Structured
3 marks
🖼 Visual
DE and FG are parallel lines. ∠HBC is 112° and ∠GCJ is 76°. a) Find ∠BAC. b) Find ∠DAB.
Q10
Open-ended
3 marks
At a party, 1/3 of the people were men. 3/5 of the remainder were women and the rest were children. There are 55 adults. How many children were at the party?
Q10
MCQ
1 mark
🖼 Visual
The pie chart represents the number of fruits sold by a fruit stall. If 30 oranges were sold, how many pears were sold?
Q11
Structured
4 marks
At a concert, there were 402 people in the audience. A child's ticket costs half as much as the cost of an adult ticket. An adult ticket costs $58. A total of $17 690 was collected from all the tickets sold. a) Find the cost of a child's ticket. b) How many children were in the audience?
Q11
MCQ
2 marks
Siying and Anna were standing in a queue to enter a concert. Siying was exactly in the middle of the queue. Anna was the 43rd person after Siying and there are another 20 people after Anna. How many people were there in the queue?
Q12
Structured
4 marks
🖼 Visual
Company A and Company B sent their recyclable waste for recycling. Company A: Plastic 90 kg, Paper 75 kg, Glass 56 kg. Company B: Plastic 100 kg, Paper 50 kg, Glass 84 kg. Charges per kg: Plastic $0.30, Paper $0.80, Glass $1.00. a) Which Company, A or B, received more money for their recycling efforts? How much more? b) For each statement, indicate True, False or Not Possible to Tell: (i) Company A collected more money from recycling plastic waste than glass waste. (ii) Company A collected 50% more paper waste than Company B.
Q12
MCQ
2 marks
🖼 Visual
The following figure is made up of three shapes. QRST is a parallelogram. STU is an isosceles triangle. RSV is a right-angled triangle. RSU is a straight line. Which one of the following angles cannot be found? (1) ∠STU (2) ∠STQ (3) ∠QRV (4) ∠RST
Q13
MCQ
2 marks
🖼 Visual
The first 14 numbers of a number pattern are given below. How many number '8' are there in the first 130 numbers? Pattern (1st to 14th): 8, 1, 0, 8, 8, 1, 0, 8, 8, 1, 0, 8, 8, 1
Q13
Open-ended
4 marks
🖼 Visual
The figure shows a circle and a right-angled isosceles triangle. AB = BC = 20 cm. Find the shaded area. (Take π = 3.14)
Q14
MCQ
2 marks
🖼 Visual
The figure below shows 2 rectangles of the same size. BC = CF = FG. The area of Rectangle ABCD is 100 cm². What is the area of triangle FGH?
Q14
Structured
4 marks
The average mass of Ahmad, Brian, Caili and Devi is 38 kg. The average mass of Ahmad, Brian and Caili is 37 kg while the total mass of Caili and Devi is 77 kg. a) Find Caili's mass. b) Brian and Devi have the same mass. Find Ahmad's mass.
Q15
MCQ
2 marks
The average mass of Fruit A and Fruit B is 6 kg. The mass of Fruit A is half the mass of Fruit B. Find the mass of Fruit B.
Q15
Structured
4 marks
A bakery baked buns and cakes in the morning in the ratio 4 : 1. After selling 50 buns and 10 cakes in the afternoon, the ratio of the number of buns to the number of cakes left became 3 : 1. a) Find the number of buns that the bakery baked in the morning. b) Find the number of cakes left.
Q16
Open-ended
1 mark
25% of a number is 24. What is 1/3 of the number?
Q16
Structured
5 marks
🖼 Visual
A and B are two rectangular containers. At first, the water level in Container A and B is as shown. The amount of water in Container A is 5 times that of the water in Container B. Then Keith poured some water from Container A into Container B until the water level in both containers are of the same height. a) Find the volume of water in Container B. b) Find the increase in water level of Container B. (Container A height 66 cm, Base Area = 50 cm²; Container B Base Area = 30 cm².)
Q17
Structured
5 marks
🖼 Visual
Doughnuts and cupcakes were sold in packs by ABC Bakery. Doughnuts: 4 packs for $12 (8 doughnuts per pack). Cupcakes: 6 packs for $15. a) Mrs Kumar wanted to spend an equal amount of money on doughnuts and cupcakes. Find the minimum number of packs of cupcakes she bought. b) Mrs Leong bought some packs of doughnuts and Mrs Fauziah spent $84 on doughnuts. Mrs Fauziah then gave Mrs Leong 20 doughnuts. In the end, Mrs Fauziah had 88 more doughnuts than Mrs Leong. How many packs of doughnuts did Mrs Leong buy?
Q17
Open-ended
1 mark
A car is travelling at a speed of 70 km/h. How long will the car take to travel 35 km? (Give your answer in min.)
Q18
Open-ended
1 mark
Express 6/7 as a percentage.
Q19
Open-ended
1 mark
Arrange the following numbers in descending order. 0.107 , 10.07 , 1.07 , 10.70 (Greatest first.)
Q20
Open-ended
1 mark
🖼 Visual
Shade 2 more squares such that the figure below is symmetrical.
Q21
Open-ended
2 marks
Find the value of 98 − 24 ÷ 2 + (51 − 47)
Q22
Open-ended
2 marks
Find the value of m/5 × m + 3 when m = 15.
Q23
Open-ended
2 marks
Tom can paint a room in 2 hours while Ali can paint the same room in 3 hours. If Tom and Ali paint the room together, what fraction of the room can they paint in 1 hour?
Q24
Open-ended
2 marks
🖼 Visual
The figure below shows 2 semicircles. AB is twice of BC. Find the area of the figure. Leave your answer in terms of π. (AB = 16 cm)
Q25
Open-ended
2 marks
A rectangle has a breadth of (2y + 1) cm long. Its length is y cm longer than its breadth. What is its perimeter in terms of y?
Q26
Structured
2 marks
🖼 Visual
Four landmarks of Tony's neighbourhood are shown in the square grid below. a) In which direction is Tony's house from the school? b) A clinic is to be built directly south of Tony's house and south west of the Mall. Mark on the grid with an 'X' to show where the clinic will be built.
Q27
Open-ended
2 marks
Andy gave 30% of his money to his sister and spent 40% of the remainder. What percentage of his money was left?
Q28
Open-ended
2 marks
A shopping mall provides a shuttle bus service from the mall to the MRT station every 50 minutes. The first shuttle bus leaves the mall at 11 a.m. and there are 12 shuttle services each day. At what time is the last shuttle service?
Q29
Open-ended
2 marks
🖼 Visual
The graph below shows the amount of rainfall for Singapore in 2019 from January to June. What was the average monthly rainfall from January to June?
Q30
Open-ended
2 marks
🖼 Visual
In the figure below, not drawn to scale, MQ and NR are straight lines. ∠POR is a right-angle. Find ∠POQ. (∠ marked at M is 130°.)