Q1
MCQ
1 mark
What does the digit 9 in 6.789 stand for?
P6 Mathematics SA2 2019 — Henry Park
Source: Henry Park, 2019
This P6 Mathematics SA2 paper from Henry Park (2019) covers measurement, area and perimeter, percentage, patterns and algebra, geometry and angles and average, rate and speed across 47 questions worth 106 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
Structured
2 marks
Joanne had a ribbon measuring 18 m in length. She cut the ribbon into shorter pieces, each measuring 4/5 m. (a) What would be the most number of 4/5 m pieces that she could cut? (b) What would be the length of the ribbon left in the end?
Q2
Open-ended
2 marks
🖼 Visual
The numbers on Card X and Card Y are 3-digit numbers. The first digit on Card Y is shown below (Card X: _ _ _ ; Card Y: 3 _ _). Given that the average of the two numbers on Card X and Card Y is 300, find the smallest possible number on Card X.
Q2
MCQ
1 mark
Express 10k + 8 − 2k − 3 in the simplest form.
Q3
Open-ended
2 marks
🖼 Visual
A piece of paper in the shape of a parallelogram is folded along the dotted line as shown below. Find ∠y.
Q3
MCQ
1 mark
In a class of 40 students, 15% of them do not wear spectacles. How many students wear spectacles?
Q4
MCQ
1 mark
🖼 Visual
The figure shows a circle with diameter 22 cm. Find the area of the circle in terms of π.
Q4
Open-ended
2 marks
🖼 Visual
In the figure below, JKLM is a square, ∠MLO = 11° and KL = KO. Find ∠JOK.
Q5
Structured
2 marks
🖼 Visual
Two lines, AB and AC, are drawn inside a box. (a) X is one of the dots inside the box. Draw two lines AX and CX to complete a right-angled triangle ACX with AC = AX. (b) Y is one of the dots inside the box. Draw two lines BY and CY to complete a trapezium ABYC where AB is parallel to CY and the length of CY is twice the length of AB.
Q5
MCQ
1 mark
🖼 Visual
What is the perimeter of the figure shown below?
Q6
Open-ended
3 marks
In a Sports Meet, the ratio of the number of runners in the Blue Team to the Red Team is 3 : 5. The ratio of the number of runners in the Yellow Team to the Blue Team is 3 : 4. There are 66 more runners in the Red Team than the Yellow Team. How many runners are there altogether?
Q6
MCQ
2 marks
🖼 Visual
Four letters are shown on the square grid below. How many of the letters above is/are NOT symmetrical?
Q7
Structured
3 marks
🖼 Visual
Isaac had 1.2 m of wire. He used all of it to form two equilateral triangles shown below. (a) Find the total perimeter of both triangles in terms of y in the simplest form. (b) Find the value of y.
Q7
MCQ
2 marks
A number when divided by 20 gives a remainder of 6. Which of the following can be added to the number to change it to a multiple of 8?
Q8
MCQ
2 marks
🖼 Visual
In which of the following periods did the number of tourists increase the most?
Q8
Open-ended
3 marks
🖼 Visual
For every piano that Siti sells, she earns a sum of money as shown below (10% of the first $500 of the selling price and 8% of the remaining selling price). Siti sold a piano and earned $650. What was the selling price of the piano?
Q9
Open-ended
3 marks
At first, Kendrick had a total of 117 pencils and erasers altogether. He gave away 25 pencils and bought more erasers to increase the number of his erasers by 60%. In the end, Kendrick had a total of 137 pencils and erasers altogether. How many pencils did Kendrick have at first?
Q9
MCQ
2 marks
🖼 Visual
The number of tourists in 2019 was a 20% decrease from the number of tourists in 2018. How many tourists (in thousands) visited Country X in 2019?
Q10
Open-ended
3 marks
🖼 Visual
Joyce and Val ran in a race. Joyce ran at a speed of 200 m/min. When Val was at the halfway point of the race, Joyce was 2.5 km ahead of Val. Both of them did not change their speed throughout the race. Joyce completed the race at 11.50 a.m. What time did Val complete the race?
Q10
MCQ
2 marks
🖼 Visual
The figure shows a cube. Two faces of the cube were shaded and the remaining faces were white. Which one of the following is NOT the net of the cube?
Q11
MCQ
2 marks
🖼 Visual
The table below shows the number of books read by 37 students in August. The number of students who read 5 books were not shown in the table. How many students read at least 3 books in August?
Q11
Structured
4 marks
🖼 Visual
The pie chart below represents the number of marbles of four different colours in a box. There were 135 more green marbles than red marbles. (a) What percentage of the marbles in the box were green in colour? (b) All the marbles in the box were placed in 48 bags. Each bag contained either 8 or 14 marbles. How many of the bags contained 14 marbles?
Q12
Structured
4 marks
🖼 Visual
In the figure, ABCG is a trapezium and BCEF is a rhombus. Lines BED and BFG are straight lines. Given that AB // GC, EC = ED, ∠BFE = 76°, ∠GCE = 17° and ∠AGB = 55°, (a) find ∠p. (b) find ∠q.
Q12
MCQ
2 marks
🖼 Visual
Five attractions on a map of a town are shown in the square grid below. Mike is at one of the attractions. He is facing X. When he turns 135° clockwise, he faces Y. Which attraction is Mike at?
Q13
Structured
5 marks
Tina had some 20¢, 50¢ and $1 coins with a total value of $300.60. 40% of the coins were 20¢ coins and 1/8 of the remaining coins were $1 coins. (a) What is the ratio of the number of 20¢ coins to the number of 50¢ coins to the number of $1 coins? Express your answer in the simplest form. (b) How many coins did Tina have altogether?
Q13
MCQ
2 marks
🖼 Visual
The bar graph shows the number of stamps from four different countries that Peter collected. Which pie chart best represents the information in the bar graph?
Q14
MCQ
2 marks
Calista and Dylan had the same number of stickers at first. After Calista gave 1/8 of her stickers to Dylan, she had 24 fewer stickers than Dylan. How many stickers did Calista and Dylan have altogether?
Q14
Structured
5 marks
🖼 Visual
Dom had a square piece of paper with an area of 64 cm². He cut out one quarter circle and three identical semicircles from it as shown below. The quarter circle had the same radius as each semicircle. (a) What is the radius of the quarter circle? (b) What is the perimeter of the remaining piece of paper? (Take π = 3.14)
Q15
MCQ
2 marks
Jane packed 408 cupcakes into a number of boxes. Each box contained either 10 or 6 cupcakes. Given that Jane used the least number of boxes to pack all the cupcakes, how many of the boxes contained 10 cupcakes each?
Q15
Structured
5 marks
🖼 Visual
John uses triangles and circles to form figures that follow a pattern as shown below. (a) The table shows the number of triangles and circles for the first four figures. Complete the table for Figure 5. (b) A figure in the pattern has a total of 51 triangles and circles. What is the Figure Number? (c) How many circles did John use for Figure 115?
Q16
Open-ended
4 marks
🖼 Visual
The figure below shows an empty wading pool with some steps at one side of the pool. Each step measures 0.2 m in height and 0.4 m in length. Mr Hank wants to fill the pool with water using a hose that allows water to flow at a rate of 1.395 m³ per hour. How long will it take Mr Hank to fill the pool with water to a depth of 0.7 m measured from the deepest end of the pool?
Q16
Open-ended
1 mark
Find the value of 108.5 + 1.99
Q17
Open-ended
1 mark
Express 5 2/25 as a decimal.
Q17
Open-ended
4 marks
🖼 Visual
Two square tiles of equal sides are shown below. Some parts of the tiles are painted in the shape of identical quarter circles. A floor is laid with the tiles that follow a pattern as shown below. The floor measures 5.2 m in length and 3.6 m in breadth and is completely covered with the tiles. Find the area of the floor that is covered by the painted parts of the tiles. (Take π = 22/7)
Q18
Open-ended
1 mark
Find the value of 7a + (28 − 2a)/5 when a = 9
Q19
Open-ended
1 mark
Janet thought of a number with 2 decimal places. When she rounded it to the nearest whole number, it became 37. What was the greatest possible number that Janet could have thought of?
Q20
Open-ended
1 mark
🖼 Visual
Find the average of the following list of numbers:
Q21
Open-ended
2 marks
List all the common factors of 14 and 35
Q22
Structured
2 marks
🖼 Visual
The figure below is drawn on a square grid. (a) Name two lines that are parallel to each other. (b) Name two lines that are perpendicular to each other.
Q23
Structured
2 marks
🖼 Visual
The opening hours of a gym are shown below (West Vista Fitness Club, Open Daily 8.30 a.m. to 9.30 p.m.). (a) How long is the gym open each day? (b) Mrs Ling spent 1 h 45 min at the gym. Given that she finished her workout at 5.25 p.m., what time did she start her workout?
Q24
Open-ended
2 marks
🖼 Visual
In the figure, PQ and RS are straight lines. Find ∠z.
Q25
Open-ended
2 marks
🖼 Visual
Find the area of the shaded part of the figure.
Q26
Open-ended
2 marks
🖼 Visual
The bar graph shows the number of funfair tickets sold by a group of students. The bar showing the number of students who sold 3 tickets each is not shown. Given that 3/8 of the students sold 3 tickets each, find the number of students who sold 3 tickets each.
Q27
Open-ended
2 marks
🖼 Visual
The rectangular tank shown below is 2/3-filled with water. The base area of the tank is 120 cm². Given that it contained 2.4 litres of water, what is the height of the container?
Q28
Open-ended
2 marks
🖼 Visual
In the figure, ABCD and AEFG are identical rhombuses, ∠BAG = 75° and ∠EFG = 65°. Find ∠ABE.
Q29
Open-ended
2 marks
🖼 Visual
The table below shows how much a shop charges a customer for renting an electric scooter (First 1 hour $12; Every additional 1/2 hour $4). Ayomi paid $36 for renting an electric scooter starting from 07 30. What would be the latest time that she must return the scooter to the shop? Express your answer using the 24-hour clock.
Q30
Open-ended
2 marks
🖼 Visual
The figure shows two circles. The ratio of the diameter of the small circle to the diameter of the large circle is 1 : 2. The area of the small circle is 42 cm². What is the area of the shaded part of the figure?