Q1
MCQ
1 mark
Which of the following is fifty-four thousand and thirty-two in figures?
P6 Mathematics SA2 2012 — Catholic High
Source: Catholic High, 2012
This P6 Mathematics SA2 paper from Catholic High (2012) covers measurement, ratio, money, geometry and angles, fractions and time 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.
Q1
Open-ended
2 marks
🖼 Visual
(Paper 2) In the figure below, ABCD is a trapezium and AQDP is a rhombus. ∠ADQ = 55° and ∠BAQ = 21°. Find ∠QDC.
Q2
Open-ended
2 marks
(Paper 2) The ratio of the number of books Javier had to the number of books Mitchell had was 5 : 8. Javier had 21 books fewer than Mitchell. How many books did the two boys have altogether?
Q2
MCQ
1 mark
Round off 594 740 to the nearest thousand.
Q3
Open-ended
2 marks
(Paper 2) Zachary is now 24p years old. He is thrice as old as Benedict. Find their total age 4 years ago. Express your answer in terms of p in the simplest form.
Q3
MCQ
1 mark
Which of the following has the greatest value?
Q4
MCQ
1 mark
Find the value of 392 ÷ 800.
Q4
Open-ended
2 marks
🖼 Visual
(Paper 2) The pattern in the box shows part of a tessellation. Extend the tessellation by drawing two more unit shapes in the space provided in the box.
Q5
MCQ
1 mark
The length of a basketball court is approximately ____.
Q5
Open-ended
2 marks
🖼 Visual
(Paper 2) In the figure, OR, OP, PQ and QR are straight lines. The points O, P, Q and R are the centres of the four circles. The radius of each circle is 15 cm. Find the total perimeter of the shaded parts. Express your answer in terms of π.
Q6
Open-ended
3 marks
(Paper 2) Andrew has some red, blue and green stickers. The number of red stickers is 4/9 of the total number of stickers. The number of blue stickers is 3/8 of the number of red stickers. Given that the number of green stickers is 36 fewer than the red stickers, how many stickers does Andrew have altogether?
Q6
MCQ
1 mark
Find the difference in value between 3 tenths and 25 hundredths.
Q7
Open-ended
3 marks
🖼 Visual
(Paper 2) In the figure, ABC and EBC are triangles. CD = DE, ∠BCD = 65° and ∠ADE = 50°. Find ∠DEB.
Q7
MCQ
1 mark
Express 2 kg 3 g in kilograms.
Q8
Open-ended
3 marks
(Paper 2) 40% of a class of 40 pupils has a Facebook account. 50% of the pupils with Facebook account and 25% of those without a Facebook account have a Gmail account. How many pupils in the class have a Gmail account?
Q8
MCQ
1 mark
Mrs Tan made 18 cakes. She gave each of her students 2/3 of a cake. There was no cake leftover. How many students did she give the cakes to?
Q9
MCQ
1 mark
🖼 Visual
The figure below shows the net of a cube. Which two faces are opposite to each other?
Q9
Open-ended
3 marks
(Paper 2) Box A contains only 50¢ coins while Box B contains only 10¢ coins. There are 23 more coins in Box B than in Box A. If the total amount of money in Box A and Box B is $13.10, how many coins are there altogether?
Q10
MCQ
1 mark
What is the maximum number of 2-cm cubes that can be packed into a rectangular box measuring 16 cm by 11 cm by 6 cm?
Q10
Open-ended
3 marks
🖼 Visual
(Paper 2) ABC is a triangle. Draw two lines, AD and BD, where AD is parallel to BC and BD is perpendicular to BC.
Q11
Open-ended
4 marks
(Paper 2) Jayden received some pocket money. He spent 3/5 of his pocket money on food and 3/10 of the remainder on stationery. He saved the rest of the money. If his savings was $28, how much pocket money did he receive?
Q11
MCQ
2 marks
All items in a sports shop were sold at 20% discount. Gabriel bought a basketball for $120. What was the original price of the basketball?
Q12
Structured
4 marks
🖼 Visual
(Paper 2) The pie chart represents the favourite food of the members of the concert band. An equal number of members chose chicken wings and chicken nuggets. (a) What fraction of the members chose chicken nuggets as their favourite food? (b) How many members chose pizza as their favourite food?
Q12
MCQ
2 marks
🖼 Visual
The figure shows the position of Ivan and some facilities around him. Ivan would be facing the swimming pool if he made a 225° clockwise turn. Where would he be facing if he made a 45° anti-clockwise turn instead?
Q13
MCQ
2 marks
Marc shared some chicken nuggets with a group of friends. If he gave each person 4 nuggets, he would have 5 nuggets left. If he gave each person 5 nuggets, he would be short of 3 nuggets. How many nuggets did he have?
Q13
Structured
4 marks
🖼 Visual
(Paper 2) The following figures are made up of unit cubes stacked at a corner of a room and painted. The first three figures are shown below. (a) Complete the table for Figure 4. Find the number of cubes and the number of faces of the cubes that are painted. (b) In which figure number would 165 faces of the cubes be painted?
Q14
MCQ
2 marks
🖼 Visual
The table shows the parking charges for a vehicle in a car park. Zachary parked his car at the car park and paid $10.90. What was his longest possible duration of parking?
Q14
Open-ended
4 marks
(Paper 2) Ashley drove from Pasir Ris to Tuas at a uniform speed of 60 km/h. At the same time, Benjamin drove from Tuas to Pasir Ris in the opposite direction at a uniform speed. 15 minutes after they passed each other, Benjamin reached Pasir Ris while Ashley was still 9 km away from Tuas. If Benjamin took 35 minutes to travel from Tuas to Pasir Ris, what was the distance between Pasir Ris and Tuas?
Q15
MCQ
2 marks
In a flower vase, each flower has either 3 or 5 petals. If the ratio of the number of flowers to the number of petals is 7 : 23, what fraction of the flowers have 5 petals? Express your answer in the simplest form.
Q15
Open-ended
4 marks
🖼 Visual
(Paper 2) The figure is made up of a rectangle and a semicircle. The area of the rectangle is 392 cm². What is the area of the semicircle? (Take π = 3.14)
Q16
Open-ended
1 mark
Simplify 3k − 29 + 15k ÷ 3.
Q16
Open-ended
5 marks
🖼 Visual
(Paper 2) A rectangular tank measuring 250 cm by 40 cm by 100 cm was 1/4 filled with water. Tap A was then fitted and had water flowing into the tank at a rate of 5 litres per minute and Tap B had water drained out from the tank at a rate of 2 litres per minute. Tap A was turned on for 3 minutes and then it was turned off. Immediately after Tap A was turned off, Tap B was turned on for 3 minutes and then it was turned off. The 2 steps were repeated until the tank was completely filled without water overflowing. How long did it take for the tank to be filled?
Q17
Open-ended
5 marks
(Paper 2) Frederic had a candy bag which contained 35 chocolate bars and 50 sweets. Ryan had another candy bag which contained 45 chocolate bars and 10 sweets. After Frederic gave Ryan some chocolate bars and sweets, 40% of Frederic's candy bag contained chocolate bars and 30% of Ryan's candy bag contained sweets. How many chocolate bars and sweets did Frederic give to Ryan altogether?
Q17
Open-ended
1 mark
Find the value in the blank. ____ × 39 + 82 × 39 = 39 × 100
Q18
Open-ended
5 marks
(Paper 2) A fruit seller packed some oranges into 22 big carton boxes and 8 small carton boxes. There were 14 more oranges in a big carton box than in a small box. The ratio of number of oranges packed into big carton boxes to the number of oranges packed into small carton boxes was 3 : 1. How many oranges did the fruit seller pack altogether?
Q18
Open-ended
1 mark
Write down all the common factors of 24 and 32.
Q19
Open-ended
1 mark
🖼 Visual
The figure below is made up of 7 identical squares. Draw a line of symmetry in the figure below.
Q20
Open-ended
1 mark
An empty tank is filled with water from a tap at a constant rate. At 10.00 a.m., the tank is 1/2 full. At 11.00 a.m., the tank is 2/3 full. How many hours does it take for the tank to be filled to the brim with water?
Q21
Open-ended
1 mark
Mr Lee drove from Singapore and arrived at Kota Tinggi at 13 20. At what time did he leave Singapore if the drive took 2 h 30 min? Express your answer in 24-hour clock.
Q22
Open-ended
1 mark
The total surface area of a cube is 150 cm². What is the length of the cube?
Q23
Open-ended
1 mark
Jayden painted 1/4 of a pole red and 2 2/5 m of the pole blue. If the pole was 8 m long, what was the length of the pole that was not painted?
Q24
Open-ended
1 mark
2/3 of Kim's marbles was equal to 1/6 of Wendy's marbles. What is the ratio of the number of marbles Kim had to the total number of marbles the two children had? Express your answer in simplest form.
Q25
Open-ended
1 mark
🖼 Visual
Ashley stacked 4 identical cubes at a corner of a room and then painted them. What was the total number of faces of the cubes that he was not able to paint?
Q26
Open-ended
2 marks
Express 5/9 as a decimal and correct the answer to 2 decimal places.
Q27
Open-ended
2 marks
The average age of 4 adults is 30 years old. When John's age is added, the average age increases to 35 years old. How old is John?
Q28
Open-ended
2 marks
A basket can hold either 18 potatoes or 24 onions. If there are already 12 potatoes in the basket, how many onions can be placed in the basket?
Q29
Open-ended
2 marks
🖼 Visual
In the figure below, BCFG is a square. If BD = 22 cm and HF = 6 cm, what is the perimeter of the rectangle ADEH?
Q30
Open-ended
2 marks
🖼 Visual
In the figure below, AC, AD, BD, BE and CE are straight lines. Find ∠DAC.