P6 Mathematics SA2 2014 — Raffles Girls
Source: Raffles Girls, 2014
This P6 Mathematics SA2 paper from Raffles Girls (2014) covers money, measurement, fractions, percentage, area and perimeter and geometry and angles 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
MCQ
1 mark
Round off 794 499 to the nearest thousand.
Q2
MCQ
1 mark
Which one of the following fractions is the largest?
Q3
MCQ
1 mark
50.13 = 5 tens + ____ + 3 hundredths
The missing value in the box is ____________.
Q4
MCQ
1 mark
Express 1.056 kilometres in metres.
Q5
MCQ
1 mark
A rectangle has an area of 56 cm². Given that its breadth is 7 cm, find the perimeter of the rectangle.
Q6
MCQ
1 mark
Which one of the following fractions is closest to 2?
Q7
MCQ
1 mark
What is 3/4 of 300?
Q8
MCQ
1 mark
Find the value of 1/5 + 0.641.
Q9
MCQ
1 mark
Paul ran a marathon in 136 minutes. If he started at 11 00, what time did he complete the marathon?
Q10
MCQ
1 mark
🖼 Visual
The unit shape in the tessellation above is a ________________.
Q11
MCQ
2 marks
In a stadium, 60% of the 2000 spectators are adults. 80% of the remainder are boys. How many girls are there in the stadium?
Q12
MCQ
2 marks
🖼 Visual
The pie chart below shows the types of items sold by a book store in a week. XY is a straight line. 1/3 of the total items sold were newspapers. Given that 128 comic books were sold, how many storybooks were sold in a week?
Q13
MCQ
2 marks
Mary paid $160 for a kettle during a sale. The original price of the kettle was $200. What was the percentage discount given for the kettle?
Q14
MCQ
2 marks
🖼 Visual
The figure below shows four identical quadrants inside a square, ABCD. Find the perimeter of the shaded region. (Take π = 22/7)
Q15
MCQ
2 marks
Tap A and Tap B can fill up an empty tank in 4 hours.
Tap B and Tap C can fill up the same empty tank in 6 hours.
Tap A and Tap C can fill up the same empty tank in 3 hours.
How many hours will it take to fill up the empty tank if all the taps are turned on at the same time?
Q16
Open-ended
1 mark
Arrange the following in descending order.
34 845 , 13 972 , 58 748 , 73 924
Q17
Open-ended
1 mark
Express 3.08 as a mixed number in its simplest form.
Q18
Open-ended
1 mark
Find the value of 4.82 × 4.
Q19
Open-ended
1 mark
🖼 Visual
What is the length of the thread shown below?
Q20
Open-ended
1 mark
The length of a cube is 7 cm. What is the volume of the cube?
Q21
Open-ended
1 mark
🖼 Visual
The bar graph below shows the number of cars sold by ABC company. Given that a total of 129 cars were sold from January to April, how many cars were sold in April?
Q22
Open-ended
1 mark
Express 0.03 as a percentage.
Q23
Open-ended
1 mark
Express 4 3/8 as a decimal.
Q24
Open-ended
1 mark
🖼 Visual
The figure below is formed by a rectangle and an isosceles triangle. Which two lines are perpendicular to line BD?
Q25
Open-ended
1 mark
A is thrice of B, and B is 4/5 of C. Find the ratio of A : B : C.
Q26
Open-ended
2 marks
A piece of ribbon is 5 m 20 cm long. 60 cm of the ribbon is cut off to tie a parcel. After that, the remaining ribbon is cut into 4 equal pieces.
What is the length of each piece of ribbon?
Q27
Open-ended
2 marks
🖼 Visual
The figure below is made up of 2 identical rectangles, with one overlapping the other. Given that the length of the rectangle is 15 cm and the breadth is 3 cm, find the area of the figure shown below.
Q28
Open-ended
2 marks
Jon had 24 marbles and Simon had 20y marbles. Simon packed his marbles into 5 bags and gave one bag to Jon. How many marbles would Jon have in the end? Express your answer in terms of y.
Q29
Open-ended
2 marks
🖼 Visual
The figure below shows a cube.
Shade one more square to complete the net of the above cube.
Q30
Open-ended
2 marks
Find the value of the missing number in the box.
(16 + ____ x 2) ÷ 4 = 7
Q31
Open-ended
2 marks
Arrange the following fractions in ascending order.
2/5 , 39/100 , 21/50 , 51/125
Q32
Open-ended
2 marks
Alan earned a fixed amount of money every month. He spent 60% of his salary and saved $400. What was his monthly salary?
Q33
Open-ended
2 marks
🖼 Visual
AB and AD are two sides of a rhombus ABCD.
Complete the rhombus by drawing two more lines in the 1-cm square grid below. Label the rhombus.
Q34
Open-ended
2 marks
Jimmy and Kenneth had $160 in all. Kenneth had $(12n + 6) more than Jimmy. How much did Jimmy have if n = 7?
Q35
Open-ended
2 marks
Mr Lau had 24 boxes of oranges. Each box contained 257 oranges. He then repacked the oranges into bags of 20 oranges. How many oranges were left over?
Q36
Structured
3 marks
Mrs Jones paid a total of $38 for 3m pens and 4 markers. Each pen cost $2.
(a) Express the cost of 1 marker in terms of m.
(b) If m = 4, how much did each marker cost?
Q37
Open-ended
3 marks
Wei Ming and Muthu played a game for 10 rounds. In each round, the winner scored 2 points while the loser was deducted 2 points. At the end of the game, Muthu's total score was 4 points. How many rounds did Wei Ming lose?
Q38
Open-ended
3 marks
🖼 Visual
In the diagram below, ABCD is a parallelogram. AC = CE = CF. ∠AEC = 55° and ∠AFC = 30°. AF and CE are straight lines. Find ∠ABC.
Q39
Open-ended
3 marks
Kevin baked some cheese muffins and some walnut muffins. After he sold 1/4 of the cheese muffins and 5/7 of the walnut muffins, he had 1/2 as many cheese muffins as walnut muffins left. If Kevin baked 68 more walnut muffins than cheese muffins, find the total number of muffins he baked.
Q40
Structured
3 marks
🖼 Visual
The pie chart below shows the amount of money collected from the sales of different types of items in a supermarket in a week.
(a) If the amount of money collected from the sale of all the items was $50 000 in a week, how much money was collected from the sales of the dairy products?
(b) What fraction of the money collected was from the sales of the vegetables?
Q41
Structured
4 marks
🖼 Visual
A tank was 2/3 filled with water to a height of 20 cm.
(a) What is the capacity of the tank?
(b) When a glass ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank.
Find the volume of the glass ball.
Q42
Structured
3 marks
Mr Koh had some money. He spent 1/5 of it on a watch and 3/8 of the remainder on a golf set. The amount of money left was $1492 more than the golf set.
(a) What fraction of the total amount of money was left?
(b) How much more did Mr Koh spend on the golf set than the watch?
Q43
Open-ended
4 marks
During a sale, 6 shelves and 11 vases cost $1471.35.
If Lydia bought 9 shelves and 16 vases, she would have spent all her money.
Each shelf cost $172.55 more than a vase.
Find the amount of money Lydia had at first.
Q44
Structured
5 marks
Mrs Wong baked some cookies and tarts for sale. The ratio of the number of cookies to the number of tarts was 5 : 3. After she sold 486 cookies and 149 tarts, the number of cookies left to the number of tarts left was 4 : 7.
(a) Find the total number of cookies that Mrs Wong baked at first.
(b) How many more tarts than cookies were left?
Q45
Structured
5 marks
A group of visitors at a zoo was made up of teachers and pupils. 8% of them were teachers. Entrance fee for each teacher and each pupil was $18 and $10 respectively. The group paid $4522 for the entrance fee.
(a) How much money did the teachers paid altogether?
(b) 1 in every 6 pupils would receive a goodie bag. How many pupils received the goodie bag?
Q46
Structured
5 marks
🖼 Visual
The figure below is made up of identical quadrants.
Take π as 3.14.
(a) Find the area of the shaded part.
(b) Find the perimeter of the shaded part.
Q47
Open-ended
4 marks
Mary started cycling from home to school at a speed of 300 m/min at 6 a.m.. Her brother started cycling from home later. They were beside each other at 6.30 a.m. and her brother reached school at 7 a.m. while Mary was still 1800 m away. If both of them travelled at a constant speed throughout the journey, what time did her brother leave home?
Q48
Structured
5 marks
🖼 Visual
The diagram below shows a tank made of some identical sections. Figure A shows one section of the tank.
(a) Find the volume of figure A.
(b) 5616 cm³ of water was poured into the tank.
Find the water level in the tank.