Q1
MCQ
1 mark
The value of the digit 5 in 9_5_7 321 is ____.
P6 Mathematics SA2 2016 — Raffles Girls
Source: Raffles Girls, 2016
This P6 Mathematics SA2 paper from Raffles Girls (2016) covers measurement, money, fractions, percentage, area and perimeter and geometry and angles across 48 questions worth 96 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
There were 17 bottles of candies. Each bottle contained b candies. 2 bottles of candies were sold. The remaining candies were shared equally among 3 girls. How many candies did each girl receive? Express your answer in terms of b.
Q2
Open-ended
2 marks
The original price of a gown was $780. It was sold at a discount of 15%. As a member of the store, Siti was given a further discount of $50. How much did Siti pay for the gown?
Ans: $ ____
Q2
MCQ
1 mark
🖼 Visual
12/15 = 8/____. What is the missing number in the box?
Q3
Open-ended
2 marks
🖼 Visual
In the diagram below, PQRS is a square. J, K, L and M are midpoints of PQ, QR, RS and SP respectively. Find the sum of ∠w, ∠x, ∠y and ∠z.
Ans: ____°
Q3
MCQ
1 mark
In the numeral 7.539, the digit 3 stands for ____.
Q4
MCQ
1 mark
Express 40.32 litres in millilitres.
Q4
Open-ended
2 marks
Fill in the missing fraction below.
4/9, 11/18, ____, 17/18, 1 1/9
Q5
MCQ
1 mark
There are 4 800 books in a library. 20% of them are non-English books and the rest of them are English books. How many English books are there in the library?
Q5
Open-ended
2 marks
Fill in the missing operations ( + , − , × or ÷ ) in the boxes.
90 ____ 3 + 2 × (43 ____ 15) = 146
Q6
Open-ended
3 marks
Empty box P has a mass of 1.8 kg. Box P with 8 packets of flour and 6 packets of salt has a mass of 21.4 kg. Each packet of flour has a mass of 2 kg 60 g. What is the mass of each packet of salt? Give your answer in kilograms.
Q6
MCQ
1 mark
A number becomes 70 000 when rounded off to the nearest thousand. Which one of the following could the number be?
Q7
Structured
3 marks
Miss Pang bought n pens at $2 each to give to her pupils in 3 classes. Each class has the same number of pupils.
(a) How much did she spend on the pens for each class? Express the answer in terms of n.
(b) Given that n = 78, how much did she spend on the pens for each class?
Q7
MCQ
1 mark
Jim baked some cakes for sale. After selling 3/8 of the cakes in the morning and 20 cakes in the afternoon, he had 10 cakes left. How many cakes did he bake?
Q8
Open-ended
3 marks
Mrs Eng packed some beads equally into 10 bags. 4 bags were found to be torn, so she transferred the beads from the 4 torn bags equally into each of the remaining bags. The remaining bags each had 20 more beads as a result. How many beads were there altogether?
Q8
MCQ
1 mark
Express 4 1/25 as a decimal.
Q9
MCQ
1 mark
A movie lasted 135 minutes. If the movie ended at 7 p.m., what time did it start?
Q9
Open-ended
3 marks
Mary had 650 red pens and 100 blue pens. After selling 2/5 of the red pens and some blue pens, she had 450 red and blue pens left. How many blue pens did he sell?
Q10
MCQ
1 mark
🖼 Visual
The figure below consists of an equilateral triangle and a semi-circle. One of the sides of the triangle is 14 cm. What is the perimeter of the figure? Take π = 22/7.
Q10
Structured
4 marks
🖼 Visual
A group of Primary 1 pupils were asked to vote for the colour they liked the most. The results were represented in the pie chart below.
Half of the number of pupils voted for red and pink colour.
(a) 12 more pupils voted for pink colour than green colour. How many pupils voted for red colour?
(b) 10 additional pupils were asked to vote. They voted for pink colour. What fraction of all the pupils voted for pink colour?
Q11
Structured
4 marks
🖼 Visual
The table below shows the prices of prawns in a market.
Weight of prawns | Price
First 2 kg | $16 per kg
Every additional 1 kg | $14 per kg
(a) James bought 6 kg of prawns. How much did he pay?
(b) Michelle paid $130 for some prawns. How many kilograms of prawns did she buy?
Q11
MCQ
2 marks
The length and breadth of a rectangle are both whole numbers. The length is three times as long as its breadth. Which of the following is not a possible perimeter of the rectangle?
Q12
Open-ended
4 marks
The cost of a plate was 5 times the cost of a spoon. At first, Siti used 5/9 of her money to buy 4 plates and 30 spoons. Then, she decided to buy some more plates with 3/8 of her remaining money. How many more plates did Siti buy?
Q12
MCQ
2 marks
🖼 Visual
Some Primary 4 pupils were asked to name the CCA they liked the most. Their choices were represented in the pie chart below. There was an equal number of pupils who liked swimming and softball. Find the total number of Primary 4 pupils who took part in the survey.
Q13
MCQ
2 marks
There were 130 members in a club in October. This was 30% more than the number of members in September. In November, 20 members left the club. What is the percentage increase in the number of members in November compared to September?
Q13
Structured
4 marks
🖼 Visual
The figure below shows the cross-section of a swimming pool with a sloping depth. The swimming pool is made up of 2 sections, A and B. The volume of Section B is 40% of the volume of Section A.
(a) Given that the dimensions of Section A is 50 m by 25 m by 2.5 m, find the height y.
(b) There are two drainage holes at the bottom of the swimming pool. The two holes allow water to drain out at an equal rate and it takes 2.5 hours to drain out all the water in the swimming pool. Find the amount of water drained in 1 hour by each hole. Give your answer in m³.
Q14
MCQ
2 marks
🖼 Visual
There are 3 unit shapes below. Which of the shape(s) below can be tessellated?
Q14
Open-ended
3 marks
Calvin and David each saved a fixed amount of money daily. David saved $4 daily and he started saving before Calvin. When David saved for 15 days, Calvin had saved $40. When David saved for 20 days, each of them had saved an equal amount of money in total. How much did Calvin save a day?
Q15
MCQ
2 marks
Some children are folding paper cranes during a craft lesson. In 9 minutes, 5 children can fold 10 paper cranes. How long does it take for 3 children to fold 72 paper cranes altogether?
Q15
Open-ended
4 marks
🖼 Visual
Amy drove Beatrice from their home to the market. From the market, Beatrice walked 2 km to the shopping centre at a speed of 4 km/h. At the same time, Amy drove home from the market to pick her son up. She then drove along the same route from home to meet Beatrice at the shopping centre. Amy drove at an average speed of 80 km/h throughout the journey. All of them reached the shopping centre at the same time. Find the distance between their home and the shopping centre.
Q16
Open-ended
1 mark
Arrange the following numbers from the smallest to the largest.
94 127, 94 172, 96 321, 96 231
Ans: ____, ____, ____, ____
Q16
Structured
5 marks
There were some girls in the hall at first. 5/8 of the girls left the hall for their recess. Later, 1/6 of the remaining girls left the hall too.
(a) What fraction of the girls remained in the hall then?
(b) After recess, 225 girls entered the hall. The ratio of the number of girls in the end to the number of girls at first was 7 : 8. How many girls were there in the hall at first?
Q17
Structured
5 marks
There were 286 more balloons than soft toys at a carnival at first. There were 16% more balloons sold than soft toys sold. The number of soft toys left was 162 more than the number of balloons left.
(a) How many more balloons than soft toys were sold?
(b) How many balloons were sold?
Q17
Open-ended
1 mark
Find the value of 3/4 ÷ 9 × 2. Give your answer as a fraction in the simplest form.
Q18
Structured
🖼 Visual
The figure below consists of 5 squares of side 6 cm, 2 quadrants and 2 semi-circles.
(a) Find the area of the shaded parts.
(b) The dotted line AB divides the shaded area into 2 equal parts. Find the area of semi-circle P.
Take π = 3.14.
Q18
Open-ended
1 mark
Find the value of 0.9 × 70.
Q19
Open-ended
1 mark
🖼 Visual
What is the total amount of water in the two containers below?
Ans: ____ ml
Q20
Open-ended
1 mark
The base area of a cube is 16 cm². What is the volume of the cube?
Ans: ____ cm³
Q21
Open-ended
1 mark
🖼 Visual
The line graph below shows the distance Mr Leong jogged yesterday over a period of time. What was Mr Leong's average speed for the whole journey?
Ans: ____ km/h
Q22
Open-ended
1 mark
Express 50 m as a percentage of 2 km.
Ans: ____ %
Q23
Open-ended
1 mark
Express 8.55 as a mixed number in its simplest form.
Q24
Open-ended
1 mark
🖼 Visual
The diagram below shows a cube and its net. What is the letter, B, D, E or F on the missing face?
Q25
Open-ended
2 marks
Mr Singh spent 2/7 of his salary on transport. Mr Mani spent 3/8 of his salary on transport. They spent the same amount of money on transport. What was the ratio of Mr Singh's salary to Mr Mani's salary? Express your answer in its simplest form.
Q26
Structured
2 marks
Samy earns $5 for every chair he sells. For every 10 chairs that he sells, he will get an additional $50. How many chairs must he sell to earn $330?
Q27
Structured
2 marks
🖼 Visual
A wire is bent to make the figure below. It consists of 3 semicircles. Find the length of the wire. Take π = 3.14.
Q28
Structured
2 marks
🖼 Visual
[Promotion sign showing a muffin with the words 'Buy 2 get 1 free!']
Joshua wants to spend the least amount of money to buy 25 muffins for his party. Each muffin is sold at $m. He has $100. How much money will he have left after paying for the muffins? Express your answer in terms of m.
Ans: $ ____
Q29
Structured
2 marks
🖼 Visual
In the figure below, PQRS is a rectangle and TS = SA. TABQ, TSR and DBC are straight lines. Given that ∠ADB is 65°, find ∠QBC.
Q30
Structured
2 marks
🖼 Visual
MN forms one side of a rectangle LMNO. LM is twice the length of MN. Complete the drawing of the rectangle LMNO in the square grid below. [2]