Q1
MCQ
1 mark
Find the quotient when 6024 is divided by 6.
P6 Mathematics SA2 2012 — Rosyth
Source: Rosyth, 2012
This P6 Mathematics SA2 paper from Rosyth (2012) covers money, measurement, area and perimeter, geometry and angles, ratio and percentage 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
Structured
2 marks
🖼 Visual
(Paper 2) The line graph below shows the change in the merchandise export of country Y for the past 5 years. Study the graph and answer questions (a) and (b). (a) What is the value of country Y's export in the year 2008? (b) During which one-year period was the increase in the amount of money the greatest?
Q2
Open-ended
2 marks
🖼 Visual
(Paper 2) Two different brands of rice are on promotion at a supermarket. Brand A: Fragrant rice 5 kg @ $18.40 per packet. Brand B: Fragrant rice 10 kg @ $34.50 per packet (Special offer for Brand B: Buy 2 get 1 free!). Mrs Lim wants to buy 40 kg of rice. How much will she save if she buys Brand B rice instead of Brand A rice? Answer: $ ____
Q2
MCQ
1 mark
Chris starts counting 9 to 79, taking one second to say each number. How long does he take to count from 9 to 79 altogether?
Q3
Open-ended
2 marks
(Paper 2) The length and breadth of a rectangle is 20 cm and 16 cm respectively. When the length is increased by 15% and its area is increased by 43 3/4 %, what is the new breadth? Answer: ____ cm
Q3
MCQ
1 mark
1/8 + 2/8 + 3/8 = ____ × 3
Q4
MCQ
1 mark
3 hundreds, 9 tenths and 5 thousandths is ____ .
Q4
Open-ended
2 marks
🖼 Visual
(Paper 2) The figure is made up of a square and a circle. O is the centre of the circle. What is the area of the shaded region given that triangle FOG has an area of 16 cm²? (Take π = 3.14) Ans: ____ cm²
Q5
MCQ
1 mark
🖼 Visual
The solid below is painted blue. How many cubes have 3 faces painted blue?
Q5
Open-ended
2 marks
🖼 Visual
(Paper 2) The pie chart below shows the cost of 4 types of toys. [Table — Item / Cost ($): Dolls 100; Toy Story Figurines ?; Lego 200; Tamiya Cars ?] What is the cost of the Tamiya Cars? Ans: $ ____
Q6
MCQ
1 mark
🖼 Visual
How many faces does the following solid have?
Q6
Open-ended
3 marks
🖼 Visual
(Paper 2) The figure below is not drawn to scale. It shows two identical right-angled triangles ABC, DEC and a square GHFC. ∠GCD = 42° and ∠FCB = 35°. Find ∠ACE. Ans: ____ [3m]
Q7
Open-ended
3 marks
(Paper 2) The tickets for a circus show are priced at $150 and $88. The ratio of the number of $150 tickets to the number of $88 tickets is 2 : 3. 3/4 of the $150 tickets and all the $88 tickets were sold. The ticket sales amounted to $78 240. How much more would have been collected if all the tickets were sold? Ans: ____ [3m]
Q7
MCQ
1 mark
Juliana had $800. She gave $40y to her son and the remainder was shared equally among her 3 daughters. How much did each daughter receive?
Q8
Open-ended
3 marks
(Paper 2) The ratio of Iskandar's savings to Norman's savings is 2 : 3. They spent $865 each on a present for a friend. After that, Iskandar's savings is 2/5 of Norman's savings. How much did Norman save at first? Ans: ____ [3m]
Q8
MCQ
1 mark
Arun was born on 13 April 2003. How old will he be on 13 November 2012?
Q9
Open-ended
3 marks
(Paper 2) Joseph has four times as many stickers as Kumar. If Joseph gives Kumar 12 stickers, Joseph will be left with 18 more stickers than Kumar. Find the total number of stickers the two boys have. Ans: ____ [3m]
Q9
MCQ
1 mark
🖼 Visual
The graph below shows the points scored by pupils who participated in a Math competition. 2 points were awarded for each correct answer and 1 point was awarded for a partially correct answer. What is the maximum number of questions answered correctly by Suling?
Q10
Open-ended
3 marks
🖼 Visual
(Paper 2) Tank X measuring 50 cm long, 24 cm wide and 60 cm high was completely filled with water. Tank Y measuring 75 cm long, 24 cm wide and 40 cm high was empty. When water was poured from Tank X to Tank Y without spilling, the heights of the water level in the 2 tanks became the same. Find the amount of water that was poured from Tank X to Tank Y. Ans: ____ [3m]
Q10
MCQ
1 mark
Sharon's luggage weighs 12.3 kg. Muthu's luggage is 940 g lighter than Sharon's. What is the mass of Muthu's luggage?
Q11
Open-ended
3 marks
(Paper 2) Wendy has big and small chicken and duck eggs in her farm. She has 275 chicken eggs and 225 duck eggs. The ratio of big chicken eggs to small duck eggs is 5 : 2. The total number of big chicken eggs and big duck eggs is 300. Find the total number of small chicken eggs in her farm. Ans: ____ [3m]
Q11
MCQ
2 marks
🖼 Visual
A supermarket had a promotion that allowed an exchange of chocolate wrappers for free chocolate bars. Promotion: Great Exchange — Exchange 4 chocolate wrappers for 1 free chocolate bar (Limited to one time exchange only). Menasha had 256 chocolate wrappers. What is the largest possible number of free chocolate bars that Manesha could have exchanged?
Q12
MCQ
2 marks
🖼 Visual
The figure below is not drawn to scale. Find the value of x.
Q12
Open-ended
4 marks
(Paper 2) Mr Siew drove from Town X to Town Y at 60 km/h. If he increased his speed by 12 km/h, he would reach Town Y 1 hour earlier. Find the speed he must travel after the first 120 km so that he can reach Town Y 4/5 h earlier. Ans: ____ [4m]
Q13
MCQ
2 marks
Given that 40 % of P = 25 % of Q, what percentage of P is Q?
Q13
Structured
4 marks
🖼 Visual
(Paper 2) In a quiz, 4 marks were awarded for each correct answer to a question and 3 marks were deducted for each wrong answer. No points were awarded if a question was not answered. The following table shows the results of 2 children who took part in the quiz. However, some ink was spilt on the table so some of the numbers cannot be seen. [Table — Name / Number of Wrong Answers / Number of Questions not answered / Points Obtained: Anthony / 25 / 0 / 165; Benny / 13 / (ink spill) / 229] (a) How many questions were there in the quiz? (b) How many questions did Benny not answer? Ans: (a) ____ [2m] (b) ____ [2m]
Q14
MCQ
2 marks
🖼 Visual
The figure below shows a rectangle ABCD. E is the mid-point of BD and F is the mid-point of BE. Given that the total shaded area is 147 cm² and the length of AD is 21 cm, find the length of DC.
Q14
Open-ended
4 marks
(Paper 2) Two boxes A and B contain 368 bags altogether. The ratio of the number of red bags to the number of green bags in box A is 1 : 3. The ratio of the number of red bags to the number of green bags in box B is 1 : 2. There are 264 green bags in boxes A and B altogether. How many green bags are there in box B? Ans: ____ [4m]
Q15
MCQ
2 marks
Miss Sum covered 2/5 of the journey at an average speed of 60 km/h for 3 1/2 hours. She continued her remaining journey at the same speed. Find the distance of her remaining journey.
Q15
Structured
5 marks
(Paper 2) In the morning, the number of blueberry cupcakes baked was 50% that of strawberry cupcakes. By afternoon, 20 more blueberry cupcakes were baked while 32 strawberry cupcakes were given away. The number of blueberry cupcakes became 70% of the number of strawberry cupcakes by the afternoon. (a) What was the number of strawberry cupcakes by afternoon? (b) What was the number of blueberry cupcakes by afternoon? Ans: (a) ____ [4m] (b) ____ [1m]
Q16
Open-ended
1 mark
🖼 Visual
What is the length of the pencil as shown in the figure below? Ans: ____ cm
Q16
Open-ended
5 marks
🖼 Visual
(Paper 2) The figure below is made up of 3 identical circles and an equilateral triangle touching the points P, Q and R on the circles. Given that the area of the triangle PQR is 60 cm² and the diameter of the circle is 14 cm, find the area of the shaded part using the calculator value of π. (Give your answer correct to 2 decimal places) Ans: ____ [5m]
Q17
Open-ended
1 mark
Express 7 3/8 litres in ml. Ans: ____ ml
Q17
Structured
5 marks
(Paper 2) Peter, June and Benny decided to buy a present for their grandmother. Peter agreed to contribute 25% of the cost of the present while June agreed to pay 30% of the remaining amount. The rest of the cost would be paid by Benny. When the cost of the present had increased by 20%, Benny had to pay $100.80 for his share. (a) What was the original price of the present? (b) How much did June have to pay in the end? Ans: (a) ____ [3m] (b) ____ [2m]
Q18
Open-ended
5 marks
(Paper 2) Two buses X and Y left ABC interchange at 6.35 a.m. to pick up passengers. They travelled at an uniform speed in opposite directions round a 55 km circular route. Bus X took 50 minutes to complete each round. After every 30 minutes, the two buses would meet. At what time would the two buses meet at the interchange again? Ans: ____ [5m]
Q18
Open-ended
1 mark
Find the smallest whole number that gives 4 000 when rounded off to the nearest hundred. Ans: ____
Q19
Open-ended
1 mark
🖼 Visual
In the figure below, ABC is a straight line. Given that AB = 3/4 AD, what is the area of the triangle BCD? Ans: ____ cm²
Q20
Open-ended
1 mark
Find the perimeter of a quarter circle with radius 21 cm. (Take π = 22/7) Ans: ____ cm
Q21
Open-ended
1 mark
What is the missing number in the box? 8 : 28 = ____ : 63 Ans: ____
Q22
Open-ended
1 mark
Express 5.88 as a mixed number in the simplest form. Ans: ____
Q23
Open-ended
1 mark
2/5 of Amy's savings is equal to 3/7 of Merilyn's savings. Amy's savings is $75. What is Merilyn's savings? Ans: $ ____
Q24
Open-ended
1 mark
🖼 Visual
Shade two more unit squares to make the figure symmetrical about the line XY.
Q25
Open-ended
1 mark
🖼 Visual
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.
Q26
Open-ended
2 marks
🖼 Visual
The table below shows the sale of tickets for a school musical concert. Study the table carefully and answer the question. Which category of tickets fetched the greatest amount of money? Ans: ____
Q27
Open-ended
2 marks
🖼 Visual
The figure below is not drawn to scale. Find the value of y. Ans: ____°
Q28
Open-ended
2 marks
The average of 8 consecutive even numbers is 85. What is the smallest number among the 8 numbers? Ans: ____
Q29
Open-ended
2 marks
55% of the beads in a bag are red. The rest are blue and green beads in the ratio of 3 : 2. There are 196 more red than blue beads. How many beads are there in the bag altogether? Ans: ____
Q30
Open-ended
2 marks
Jonah had $w at first. He spent half of the money on lunch and bought 8 pens at $1.50 each. How much money had he left? Express your answer in terms of w. Answer: $ ____