Q1
MCQ
1 mark
What is the value of 30 ones, 30 tenths and 30 hundredths?
P6 Mathematics SA2 2017 — Henry Park
Source: Henry Park, 2017
This P6 Mathematics SA2 paper from Henry Park (2017) covers money, measurement, area and perimeter, geometry and angles, patterns and algebra and graphs and data 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
Find the value of 8/9 ÷ 2/3.
Q3
MCQ
1 mark
Which of the following is the same as 4020 g ?
Q4
MCQ
1 mark
Mrs Toh started her 20-minute jog at 6.35 a.m. After her jog, she did her housework until 8.15 a.m. How much time did she spend doing her housework?
Q5
MCQ
1 mark
🖼 Visual
The table below shows the number of library books borrowed by some pupils on a particular day. How many pupils borrowed at least 3 library books?
Q6
MCQ
1 mark
Find the value of 33 – (18 – 12 ÷ 3).
Q7
MCQ
1 mark
🖼 Visual
In the diagram below, the letters R, E, L, A and X are drawn on a square grid. Which of the letters above have only 1 line of symmetry?
Q8
MCQ
1 mark
🖼 Visual
The figure below shows a pyramid. Which one of the following is not a net of the pyramid?
Q9
MCQ
1 mark
Fatimah spent 30% of her salary and still had $4200 of her salary left. How much money did she spend?
Q10
MCQ
1 mark
🖼 Visual
The rectangle EFGH below is made up of 8 identical squares. What is the ratio of the area of the shaded part to the area of the unshaded part?
Q11
MCQ
2 marks
Jack and Bill had $300 altogether. After Jack spent $60, he had twice as much money as Bill. How much money did Bill have?
Q12
MCQ
2 marks
🖼 Visual
In the figure below, ABCD is a rectangle. ∠BAC = 34° and ∠CED = 72°. Find the value of ∠ACE.
Q13
MCQ
2 marks
🖼 Visual
The pie chart shows the number of fruits sold at a fruit stall. There are 65 pears and 100 mangoes at the stall. The number of mangoes is twice the number of oranges. How many apples are there at the stall?
Q14
MCQ
2 marks
A baker sold 400 cakes in 5 days. Each day, he sold 7 cakes fewer than the previous day. Find the number of cakes he sold on the first day.
Q15
MCQ
2 marks
🖼 Visual
The figure below is made up of 3 identical squares, each with an area of 81 cm². The squares overlap each other as shown below. The overlapped parts are identical. Given that the area of the figure is 183 cm², find the area of each overlapped part.
Q16
Open-ended
1 mark
Round off 49 989 to the nearest hundred.
Q17
Open-ended
1 mark
In a Mathematics test, Abel scored 64 marks, Barney scored 68 marks and Chris scored 48 marks. What was their average score for the test?
Q18
Open-ended
1 mark
Mrs Tee paid for 6 identical bowls with a fifty-dollar note. She received $m change. Express the cost of 1 bowl in terms of m.
Q19
Open-ended
1 mark
🖼 Visual
The table shows the postage charges for sending letters. (First 20 g = $1.20; Every additional 10 g or part thereof = $0.35.) Wendy posted a letter weighing 38 g. How much money did she have to pay as postage?
Q20
Open-ended
1 mark
🖼 Visual
Find the area of the triangle shown below.
Q21
Open-ended
1 mark
🖼 Visual
The graph below shows the number of durians sold from Monday to Friday. What is the ratio of the number of durians sold on Wednesday to the total number of durians sold over the five days?
Q22
Open-ended
1 mark
🖼 Visual
The pie chart below represents the number of spectators at a soccer match. What fraction of the spectators is made up of men? Give your answer in the simplest form.
Q23
Open-ended
1 mark
🖼 Visual
Find ∠y in the figure below.
Q24
Open-ended
1 mark
🖼 Visual
In the figure below, ACE and BCD are straight lines. ∠ABC = 86°, ∠CAB = 44° and ∠CDE = 55°. Find ∠CED.
Q25
Open-ended
1 mark
🖼 Visual
Four identical 7-cm squares were cut out from a rectangular piece of grey paper measuring 100 cm by 45 cm as shown below. Find the perimeter of the remaining piece of grey paper.
Q26
Open-ended
2 marks
Sally used 2 identical pieces of ribbon to tie a hamper. 5/8 of each piece of ribbon was 4 m. Find the total length of the ribbon used. Express your answer as a fraction in its simplest form.
Q27
Open-ended
2 marks
🖼 Visual
In the figure below, XYZ is an isosceles triangle. Given that ∠XWV = 93°, ∠UWV = 10° and ∠WUX = 65°, find ∠XZY.
Q28
Open-ended
2 marks
The price of an eraser is 3/4 the price of a pencil. The price of a highlighter is 1/2 the price of an eraser. Given that each highlighter costs $1.50, find the cost of the pencil.
Q29
Open-ended
2 marks
🖼 Visual
A childhood game is played by rolling a wheel as shown below. The radius of a wheel is 40 cm. What is the distance covered when the wheel makes 10 complete turns? (Take π = 3.14)
Q30
Open-ended
2 marks
🖼 Visual
Chloe collected 2 types of bookmarks. The table shows the number of each type of bookmarks she had at first (Paper = 69, Plastic = 36). After Chloe's father gave her some paper bookmarks, the percentage of her plastic bookmarks decreased to 20%. Find the total number of bookmarks given to Chloe by her father.
Q31
Open-ended
2 marks
(Paper 2, Question 1) A chef bought a total of 9 kg of prawns and fish. He cooked 3.855 kg of fish and had 1/4 of the mass of fish left. What is the mass of prawns he bought?
Q32
Open-ended
2 marks
🖼 Visual
(Paper 2, Question 2) The figure below is made up of a quadrant and 2 identical semicircles of radius 10.5 cm. Find the perimeter of the figure. (Take π = 22/7)
Q33
Open-ended
2 marks
🖼 Visual
(Paper 2, Question 3) Since January, David deposits his savings into his bank account every month. The graph below shows the amount of money in David's bank account at the end of each month from January to May. Given that David's monthly salary is $4500, what percentage of David's salary did he save in March? Express your answer as a fraction in its simplest form.
Q34
Open-ended
2 marks
(Paper 2, Question 4) Peter must score an average of 85 points for 3 games in order to win a prize at a funfair. Peter scored 68 points and 79 points for the first 2 games. What is the least number of points he needs to score in the 3rd game to win a prize?
Q35
Open-ended
2 marks
(Paper 2, Question 5) Mrs Yip had 615 red pens and 549 blue pens. After selling twice as many blue pens as red pens, she had a total of 363 pens left. How many red pens had she left?
Q36
Open-ended
3 marks
🖼 Visual
(Paper 2, Question 6) The figure below consists of a square and a circle with diameter of 6 cm. What is the area of the unshaded part? (Take π = 3.14)
Q37
Open-ended
3 marks
(Paper 2, Question 7) Ben received $1.50 more pocket money than Jerry daily. Each boy spent $2.20 a day and saved the rest. When Jerry had saved $28.80, Ben had saved $24 more than Jerry. How much pocket money did Ben receive daily?
Q38
Open-ended
3 marks
(Paper 2, Question 8) A rectangular tank measures 34 cm by 52 cm by 16 cm. Alice managed to fit in a total of 56 identical cubes into the tank before covering it with a lid. This was the greatest number of such cubes she could fit into the tank. Given that the length of one side of the cube is a whole number, find its length.
Q39
Open-ended
3 marks
(Paper 2, Question 9) Weiming is f years old now. His mother is 1 year younger than his father. In 4 years' time, Weiming's father will be twice Weiming's age. How old is Weiming's mother now? Express your answer in terms of f.
Q40
Open-ended
3 marks
🖼 Visual
(Paper 2, Question 10) In the figure below, ABCD is a rhombus. ∠EDB = 97°, ∠FEG = 110° and ∠BAD = 66°. Given that GED, FEC and FDB are straight lines, find ∠FCD.
Q41
Open-ended
4 marks
(Paper 2, Question 11) Steven and Tom started cycling at the same time along a 6.5 km track. Both did not change their speeds throughout the whole journey. Steven cycled at a speed of 30 m/min faster than Tom. When he reached the end of the track, Tom was 600 m behind him. What was Tom's cycling speed in m/min?
Q42
Structured
4 marks
(Paper 2, Question 12) Meifen has a number of 10¢, 20¢ and 50¢ coins in the ratio of 8 : 3 : 5 respectively. The total value of all the coins is $195. (a) Meifen spent half the number of her 50¢ coins. Find the new ratio of the number of 10¢ coins to the number of 20¢ coins to the remaining number of 50¢ coins. (b) What is the total value of the 20¢ coins?
Q43
Structured
4 marks
🖼 Visual
(Paper 2, Question 13) Mrs Tang had some money. She used $53 to pay for 4 identical large potted plants and 7 identical small potted plants. If she bought another large potted plant, she would be short of $3.50. If she bought another small potted plant, she would have $1.50 left. (a) What is the difference in price between the large and the small potted plant? (b) Find the price of one large potted plant.
Q44
Structured
5 marks
(Paper 2, Question 14) Every month, Jevier spends 2/5 of his salary on food, 4/9 of the remainder on rent and saves the rest of his salary. (a) What fraction of his salary does Jevier save? Give your answer in the simplest form. (b) Jevier is saving to buy a laptop that costs $4000. Given that he spends $1200 on food every month, how long will he take to save in order to buy the laptop?
Q45
Structured
5 marks
🖼 Visual
(Paper 2, Question 15) The figure below shows 2 rectangular tanks, A and B. Tank A has a base area of 30 cm² while Tank B has a base area of 90 cm². (a) Tank A contained water to a height of 47 cm. What was the volume of water in Tank A? (b) Tank B was empty at first. Alvin turned on the tap for 6 minutes, allowing water to flow at a rate of 95 cm³/min into Tank B. Then, he poured some water from Tank A into Tank B until the height of the water level in Tank B was the same as the height of the water level in Tank A. Find the height of the water level in Tank B.
Q46
Structured
4 marks
🖼 Visual
(Paper 2, Question 16) In the figure below, ABC is an isosceles triangle and EFGC is a square. ∠CDE = 20° and ∠BAC = 98°. DCF is a straight line. (a) Find ∠FCA. (b) Find ∠DEC.
Q47
Structured
5 marks
(Paper 2, Question 17) Mr Lau bought a tennis racket and a bag at discounted prices. He spent a total of $168.75 on the two items. The ratio of the amount Mr Lau paid for the tennis racket to the amount he paid for the bag was 2 : 1. (a) Find the cost of the bag after the discount. (b) The total discount given for the two items was $31.25. Mr Lau was given a 10% discount for the tennis racket. What was the percentage discount given for the bag?
Q48
Structured
4 marks
🖼 Visual
(Paper 2, Question 18) Numbers are written in order beginning from 1 as shown in the pattern below (a pyramid: Row 1 = 1; Row 2 = 2,3,4; Row 3 = 5,6,7,8,9; Row 4 = 10–16; Row 5 = 17…; Row 6 has N in the middle). Given that the pattern continues, (a) find the number represented by the letter N. (b) find the greatest number in Row 8. (c) find the number in the middle of Row 12.