Q1
MCQ
1 mark
Round 259 136 to the nearest 1000.
P6 Mathematics SA2 2018 — Raffles Girls
Source: Raffles Girls, 2018
This P6 Mathematics SA2 paper from Raffles Girls (2018) covers measurement, money, geometry and angles, time, area and perimeter and percentage across 47 questions worth 99 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 figure is made up of a square, PQRS, and a rhombus, RTSU. Find ∠QRU.
Ans: ____________ °
Q2
Open-ended
2 marks
(Paper 2) The ratio of the number of pencils to the number of erasers in a box was 3 : 4 at first. After adding 12 pencils and removing 15 erasers from the box, the ratio of the number of pencils to the number of erasers became 1 : 1. How many erasers were there in the box at the end?
Ans: ____________
Q2
MCQ
1 mark
In 1347.025, which digit is in the hundredths place?
Q3
Open-ended
2 marks
🖼 Visual
(Paper 2) Figure A is a square with side 5 cm. When the side of the square is increased by 1 cm, what is the percentage increase in the area of the new square?
Ans: ____________ %
Q3
MCQ
1 mark
Jane left her home at 23 48. She took 20 minutes to reach the airport. What time did she reach the airport?
Q4
MCQ
1 mark
Arrange the following fractions from the biggest to the smallest.
2/5 , 8/9 , 1/7
Q4
Open-ended
2 marks
(Paper 2) A muffin costs $k and a sandwich costs $0.40 more than a muffin. Mavis has enough money to buy exactly 2 sandwiches and 1 muffin. If Mavis has $5.30, find the cost of 1 sandwich.
Ans: $____________
Q5
MCQ
1 mark
🖼 Visual
ABC is a triangle. AC = 17 cm and AB = 12 cm. Find the area of triangle ABC.
Q5
Open-ended
2 marks
(Paper 2) Sharon had 5 kg of sugar. She packed the sugar into packets of 2/3 kg. How much sugar did she have left?
Ans: ____________ kg
Q6
Structured
3 marks
🖼 Visual
(Paper 2) Special Offer! 1 cheese tart .........$1.40. Buy 3 and get 1 free.
(a) Tony wants to get 4 cheese tarts. How much does he need to pay?
(b) Sonia has $83. What is the most number of cheese tarts that she can get altogether?
Ans: (a) ____________ (b) ____________
Q6
MCQ
1 mark
🖼 Visual
In the figure, ABCD is a trapezium where AD is parallel to BC. Find ∠BDC.
Q7
Structured
3 marks
(Paper 2) Jason bought some pencils for his classmates. He paid $7.20 for the pencils. If he gave everyone 5 pencils each, he would have 3 pencils left. If he gave everyone 6 pencils each, he would need 6 more pencils.
(a) How many classmates did Jason have?
(b) What was the cost of 1 pencil?
Ans: (a) ____________ (b) ____________
Q7
MCQ
1 mark
🖼 Visual
The diagram shows the net of a solid. Which of the following is the correct solid?
Q8
Structured
4 marks
🖼 Visual
(Paper 2) Grace forms the shape below using a piece of wire. The shape is made up of 3 semicircles, 1 quadrant and 2 straight lines. What is the length of wire used to form the shape? (Take π = 3.14)
Ans: ____________
Q8
MCQ
1 mark
Given that p : q = 5 : 2 and q : r = 3 : 4, express r as a fraction of p.
Q9
MCQ
1 mark
________ ÷ 17 = 86. What is the missing number in the blank?
Q9
Structured
3 marks
🖼 Visual
(Paper 2) In the figure, WXZ is an isosceles triangle where WX = WZ, and WX is perpendicular to XY. Find ∠YWZ.
Ans: ____________
Q10
MCQ
1 mark
🖼 Visual
The length and breadth of a rectangle are (4y + 5) cm and 2y cm respectively. What is the perimeter of the rectangle?
Q10
Structured
3 marks
(Paper 2) At a community centre, there were three cooking classes, A, B and C. There were 6 more men in Class B than Class C and 6 fewer men in Class B than Class A. The ratio of the number of men to the number of women in Class A, B and C were 1 : 2, 1 : 3 and 1 : 5 respectively. All the three classes had the same number of participants. How many men were there altogether?
Ans: ____________
Q11
Structured
4 marks
🖼 Visual
(Paper 2) At first, the rectangular tank was partially filled with water. Mandy turned on two taps, A and B. After 10 minutes, the volume of water was 4/5 of the volume of the tank. She then turned off Tap A and left Tap B flowing until the tank was completely filled. The graph shows the amount of water in the tank.
(a) What was the volume of the rectangular tank?
(b) How many litres of water flowed from Tap A every minute?
Ans: (a) ____________ (b) ____________
Q11
MCQ
2 marks
A wallet and a pen cost $99. The cost of the pen is 20% less than the cost of the wallet. How much does the pen cost?
Q12
Structured
4 marks
🖼 Visual
(Paper 2) The empty container is made up of 2 cuboids and a cube. The top of the container is a cube. Water flows into the container from the top to the base at 1.619 ℓ/min. What is the height of the water level from the base of the container after 8 minutes?
Ans: ____________
Q12
MCQ
2 marks
🖼 Visual
Raffles Kitchen Set Meal A. Mr Tan ordered the above dishes and paid using 2 fifty-dollar notes. How much change did he receive?
Q13
Structured
4 marks
🖼 Visual
(Paper 2) The figure is made up of four circles and one square.
(a) Find the perimeter of the unshaded part.
(b) Find the area of the shaded figure.
(Take π = 3.14)
Ans: (a) ____________ (b) ____________
Q13
MCQ
2 marks
🖼 Visual
Which is the heaviest block?
Q14
MCQ
2 marks
John paid $900 for a laptop at a discount of 10% at an electronics shop. He signed up as a member of the shop and enjoyed an additional 10% discount on top of the discounted price. What was the total discount John received for buying the laptop?
Q14
Structured
4 marks
🖼 Visual
(Paper 2) In the figure, YZ is a straight line while ABCD and PQRS are overlapping trapeziums. Given that ∠YAB = 50°, ∠QDW = 135° and ∠DQR = 60°.
a) find ∠DXS.
b) find ∠QRW.
Ans: (a) ____________ (b) ____________
Q15
MCQ
2 marks
Machine A and B can print a total of 348 pages in 4 minutes while Machine B and C can print a total of 276 pages in 3 minutes. Each machine prints an equal number of pages every minute. At this rate, how many more pages can Machine C print than Machine A in 5 minutes?
Q15
Structured
5 marks
(Paper 2) At a travel fair, there were 125 more women than men. When 40% of the women and 3/4 of the men left the fair, there were 243 more women than men remaining at the fair. How many men were there at the travel fair at first?
Ans: ____________
Q16
Structured
5 marks
(Paper 2) Tricia collects stamps as her hobby. 1/7 of the stamps are from Australia, 1/4 of the stamps are from China, and the rest are from Singapore and Malaysia. She has an equal number of stamps from Singapore and Malaysia.
(a) If Tricia has 799 Malaysian stamps, how many stamps are from Australia?
(b) Aunty May gave Tricia some Australian stamps. As a result, 7/19 of Tricia's stamps are from Australia. How many stamps did Aunty May give Tricia?
Ans: (a) ____________ (b) ____________
Q16
Open-ended
1 mark
Find the value of 5 hundreds, 7 tenths and 9 thousandths.
Ans: ____________
Q17
Open-ended
1 mark
What is the correct number in the box?
2 7/12 = 1/12 + 1/12 + 1/12 + 1/12 + ☐/4
Ans: ____________
Q17
Structured
3 marks
(Paper 2) On Monday, the average number of books donated by each pupil during a donation drive was 23. On Tuesday, 30 pupils donated an average of 14 books each. In the end, the average number of books donated by each pupil on both days was 20. How many books were donated on Monday?
Ans: ____________
Q18
Open-ended
1 mark
Ali and 8 other classmates gave Ella a birthday treat. The total amount was $108.45 and they decided to share the cost equally. How much did each of them pay?
Ans: $____________
Q19
Open-ended
1 mark
🖼 Visual
Find the mass of the apple.
Ans: ____________ g
Q20
Open-ended
1 mark
Natasha had a roll of ribbon of length that is k cm long. She cut 17 equal pieces from it and had 8 cm of ribbon left. What was the length of each piece of ribbon? Express your answer in terms of k.
Ans: ____________ cm
Q21
Structured
2 marks
Chef Tan used 1 3/10 kg of flour to bake some muffins. He used 5/8 kg of flour to bake a cake. How much flour did he use altogether? Express your answer as a mixed number.
Ans: ____________ kg
Q22
Structured
2 marks
🖼 Visual
The water from the beaker can fill up 1/8 of the vase. Find the volume of the vase.
Ans: ____________ mℓ
Q23
Structured
2 marks
🖼 Visual
The table shows the number of books the pupils borrowed from a school library in four days. The average number of books borrowed each day from Monday to Thursday was 50. What was the number of books borrowed on Thursday?
Ans: ____________
Q24
Structured
2 marks
🖼 Visual
How many circles are there in Pattern 25?
Ans: ____________
Q25
Structured
2 marks
🖼 Visual
Ravi drew a model to help him solve a word problem. What was the value of A?
Ans: ____________
Q26
Structured
2 marks
🖼 Visual
In the figure, rectangle ABCD is made up of 9 smaller parts, consisting of squares and rectangles. The area of some of the parts are shown. Find the perimeter of rectangle ABCD.
Ans: ____________ cm
Q27
Structured
2 marks
🖼 Visual
The diagram shows a parallelogram WXYZ. WVZ is an isosceles triangle. Find ∠VXY.
Ans: ____________ °
Q28
Structured
2 marks
Kenneth and Marshall started cycling from the same starting point along a track. Both started cycling at the same time and they did not change their speeds throughout. Kenneth reached the end of the track in 2 hours. Marshall covered only 4/5 of the track in that time. Given that Kenneth's average speed was 2 km/h faster than Marshall, find the length of the track.
Ans: ____________ km
Q29
Structured
2 marks
🖼 Visual
The pie chart shows how Anita spent her time in a 24-hour day. Anita spent 4 hours of her day doing housework. She spent half of the day sleeping and playing golf. If the time spent on cooking and baking was the same, how much time did she spend on cooking?
Ans: ____________ h
Q30
Structured
1 mark
🖼 Visual
Kendrick has 34 more coins than Su Mei at first. Su Mei gives 12 of her coins to Kendrick. In the end, Kendrick has thrice as many coins as Su Mei. Based on the information above, put a tick in the correct box.
a) Su Mei has 40 coins at first.
b) Kendrick has more money than Su Mei at first.