Q1
MCQ
1 mark
In 178.234, which digit is in the hundredths place?
P6 Mathematics SA1 2017 — Henry Park
Source: Henry Park, 2017
This P6 Mathematics SA1 paper from Henry Park (2017) covers measurement, geometry and angles, money, area and perimeter, ratio and percentage across 48 questions worth 102 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
🖼 Visual
The table shows the parking charges at a carpark. First hour: $2.80. Every subsequent 1/2 h or part thereof: $1.20. How much does Mr Tay have to pay for parking his car at the carpark from 2.00 p.m. to 5.45 p.m.?
Q2
Open-ended
2 marks
Ahmad mixed 3.5 litres of syrup with 5 times as much water to make fruit punch. He poured all the fruit punch into identical jugs of 1.2 litres each. What is the least number of such jugs he would need?
Q2
MCQ
1 mark
Arrange the following from the smallest to the largest. 1.402, 7/5, 1.41
Q3
Open-ended
2 marks
Charlie's age is twice of Timothy's age. John is 6 years older than Timothy. Their average age is 18 years. How old is Timothy?
Q3
MCQ
1 mark
🖼 Visual
The figure below shows triangle XYZ. Given that XY is the base of the triangle, which one of the following is its corresponding height?
Q4
MCQ
1 mark
Which one of the following would most likely be the height of the classroom door?
Q4
Open-ended
2 marks
10 boys lined up in a straight row. They stood at an equal distance apart from each other. The distance between the 3rd and the 5th boy was 1.2 m. What was the distance between the first and the last boy?
Q5
MCQ
1 mark
For their Math test, David, Ali, Sam and Joey scored 19, 9, 0 and 8 marks respectively. What was their average marks for their Math test?
Q5
Open-ended
2 marks
🖼 Visual
Rectangle ABCD shown below has an area 312 cm². It is divided into 4 different triangles, P, Q, R and S. Triangle P has an area of 108 cm². Find the area of triangle R.
Q6
Structured
3 marks
🖼 Visual
The table below shows the prices of some snacks sold at Silver Village Cinema. Popcorn: $w per packet. Nacho: $(w − 2) per packet. (a) Jayne bought 2 packets of popcorn and 1 packet of nacho for her sisters. Express the total amount of money she spent in terms of w in its simplest form. (b) Jayne paid for the 2 packets of popcorn and 1 packet of nacho with some money. She received a change of $28. Given that w = 8, how much money did she give to the cashier at first?
Q6
MCQ
1 mark
A photocopying machine can print 200 identical pieces of document in 180 seconds. How long does the same machine take to print 50 such pieces of document?
Q7
Open-ended
3 marks
Mrs Chan paid $512 for 6 identical chairs and 2 identical tables. Each chair cost $24 less than a table. How much money did she pay for 2 such tables?
Q7
MCQ
1 mark
🖼 Visual
Six landmarks, T, U, V, W, X and Y are shown in the square grid below. Mr Lye is standing at one of the landmarks. He is facing Y. When he turns 90° clockwise, he faces U. Which landmark is Mr Lye standing at?
Q8
Open-ended
3 marks
Last month, Mrs Tan spent 1/6 of her salary on a washing machine. She spent 2/3 of the remaining money on a microwave oven and saved the rest of her money. Given that she saved $750, how much was her salary last month?
Q8
MCQ
1 mark
🖼 Visual
In the figure below, ACD is a straight line. Find ∠y.
Q9
MCQ
1 mark
Brandon had some red and blue balloons. The ratio of the number of red balloons to the number of blue balloons was 3 : 2. What percentage of his balloons was blue?
Q9
Open-ended
3 marks
James has some 10-cent coins and 50-cent coins in a coin box. The total value of all the coins in the coin box is $17. There are 26 more 10-cent coins than 50-cent coins in the coin box. What is the value of all the 50-cent coins in the coin box?
Q10
MCQ
1 mark
🖼 Visual
The figure below shows an isosceles triangle FGH. HG is (5a + 2) cm while HF is (3a + 1) cm. Find the perimeter of triangle FGH.
Q10
Open-ended
3 marks
🖼 Visual
In the figure below, VYW is an isosceles triangle. UVW and VYZ are straight lines. Find ∠a.
Q11
Open-ended
4 marks
🖼 Visual
The figure below is made up of a right-angled triangle, a semi-circle and a rectangle with a quadrant cut out from it. Find the area of the shaded figure. Round off your answer to 2 decimal places. (Take π = 3.14)
Q11
MCQ
2 marks
Find the value of 90 − 6 ÷ 2 + 5 × 2
Q12
Open-ended
4 marks
Constance had 360 paper and plastic bookmarks in her collection. 25% of her bookmarks were made of plastic. How many plastic bookmarks must she buy to increase the number of plastic bookmarks in her collection to 46%?
Q12
MCQ
2 marks
🖼 Visual
The solid below is made up of 1-cm cubes. How many more 1-cm cubes are needed to form a cube of sides 5 cm?
Q13
MCQ
2 marks
🖼 Visual
The graph below shows the number of drinks sold at a drink stall for a period of 3 months. Given that the average number of drinks sold from January to March was 450, what was the number of drinks sold in March?
Q13
Structured
4 marks
🖼 Visual
In the figure below, ABCD is a parallelogram and EBC is an isosceles triangle. FGC is a straight line. ∠DAB = 48° and ∠FCD = 40°. (a) Find ∠EBC. (b) Find ∠FGE.
Q14
MCQ
2 marks
🖼 Visual
In the figure below, JKLN is a trapezium and KLM is an isosceles triangle where KL = ML. Find ∠t.
Q14
Open-ended
4 marks
The number of marbles in Box A is 1/2 of the number of marbles in Box B. 40% of the marbles in Box A and 10% of the marbles in Box B was moved to Box C. As a result, the number of marbles in Box C increased by 30%. There are 234 marbles in Box C now. How many marbles were there in Box B at first?
Q15
MCQ
2 marks
Harold and Betty shared the total cost of a present. Harold paid $18 more than 2/5 of the total cost of the present. Betty paid $24. How much did Harold pay for the present?
Q15
Open-ended
5 marks
🖼 Visual
The figure below shows a square which is made up of three rectangles. The ratio of the area of Rectangle A to the area of Rectangle B to the area of Rectangle C is 8 : 1 : 3 respectively. The area of the square is 324 cm². Find the length of Rectangle C.
Q16
Open-ended
1 mark
Find the value of 4/15 ÷ 8/9. Give your answer in its simplest form.
Q16
Structured
5 marks
Mrs Tay sold basketballs and netballs. Each basketball cost $21 and each netball cost 3/7 as much as the basketball. Mrs Tay sold 1/3 of the balls and collected $2070. 2/5 of the balls sold were basketballs. (a) How many netballs were sold? (b) How much money did Mrs Tay receive from the sales of the basketballs?
Q17
Structured
5 marks
Olivia bought 12 identical magazines and her sister bought 12 identical notebooks. The total mass of all the items Olivia and her sister bought was 4.8 kg. Olivia then exchanged a magazine with her sister for a notebook. After the exchange, the total mass of the items Olivia had was 2/3 of the total mass of the items her sister had. (a) Find the total mass of all the items Olivia's sister had after the exchange. (b) Find the mass of a magazine.
Q17
Open-ended
1 mark
Express 5/8 as a decimal.
Q18
Open-ended
4 marks
🖼 Visual
The figure below is made up of a large and small circle overlapping each other. The ratio of the area of the large circle to the area of the small circle is 3 : 1. The ratio of the area of the unshaded part of the large circle to the area of the unshaded part of the small circle is 4 : 1. Given that the area of the shaded part is 12 cm², find the area of the figure.
Q18
Open-ended
1 mark
What is 16 050 centimetres in metres?
Q19
Open-ended
1 mark
A delivery truck left Town A for Town B at 10.45 p.m. It reached Town B at 6.10 a.m. the next day. How long was the journey in hours and minutes?
Q20
Open-ended
1 mark
🖼 Visual
Use all the digits below to form an even number closest to 7000. Each digit can only be used once. [digits 8, 7, 6, 0]
Q21
Open-ended
1 mark
1/3 of Adam's stamps is equal to 1/4 of Bala's stamps. What is the ratio of the number of Bala's stamps to that of Adam's stamps?
Q22
Open-ended
1 mark
🖼 Visual
The table below shows the time taken by 5 different swimmers in a swimming competition. What was the average time taken by the two fastest swimmers?
Q23
Open-ended
1 mark
🖼 Visual
Shade 3 more squares to form a symmetric figure with AB and CD as the two lines of symmetry.
Q24
Open-ended
2 marks
🖼 Visual
In the figure below, JON is a straight line and ∠LOM = ∠MON. Find ∠LOM.
Q25
Open-ended
2 marks
Kelly had $3950 in her bank account at the beginning of the year. Given that she received an interest of 2% per year, how much interest would she receive at the end of one year?
Q26
Open-ended
2 marks
🖼 Visual
Find the perimeter of the semi-circle of radius 14 cm. Take π = 22/7.
Q27
Open-ended
2 marks
The ratio of the number of roses to the number of lilies is 1 : 3. The ratio of the number of carnations to the number of lilies is 5 : 4. Express the number of roses as a fraction of the number of carnations in the simplest form.
Q28
Open-ended
2 marks
🖼 Visual
In the figure below, PQRS is a parallelogram. PTS is an equilateral triangle. ∠PRT = 25°. Find ∠TPR.
Q29
Open-ended
2 marks
It takes 5 minutes to cut a ribbon into 15 equal pieces. How long would it take to cut the same ribbon into 8 equal pieces?
Q30
Open-ended
2 marks
🖼 Visual
The figure shows a black square tile glued onto a bigger white square tile. The area of the white square tile not covered by the black square tile is 65 cm². The length of each square tile is a whole number. What could the smallest possible length of the black square tile be?