Q1
Open-ended
2 marks
🖼 Visual
The graph shows the number of students at each level in Rose Primary School. Find the total number of pupils in Rose Primary School.
P6 Mathematics SA2 2014 — Rosyth
Source: Rosyth, 2014
This P6 Mathematics SA2 paper from Rosyth (2014) covers measurement, ratio, average, rate and speed, percentage, money and area and perimeter across 18 questions worth 60 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
Open-ended
2 marks
Eunice and Iris have some green pens and some blue pens. The number of blue pens Eunice has is equal to the number of green pens Iris has. 2/5 of Eunice's pens are green and 2/7 of Iris's pens are blue. There is a total of 100 green pens. Find the total number of pens they have.
Q3
Open-ended
2 marks
🖼 Visual
Four identical quarter circles were cut out from a square cardboard of length 14 cm. Find the area of the 4 quarter circles. Leave your answer in terms of π
Q4
Open-ended
2 marks
Denise bought 3/4 kg of sugar. She used 1/3 kg of the sugar to bake a cake and used 1/5 of the remainder to bake a donut. How much sugar had she left? Give your answer in kilograms.
Q5
Open-ended
2 marks
The ratio of the number of boys to the number of girls in a class is 1 : 3. The ratio of the pupils in the class who take swimming lessons to those who do not take swimming lessons is 7 : 3. The ratio of the boys who take swimming lessons to those who do not take swimming lessons is 4 : 1. What is the ratio of the girls who take swimming lessons to the girls who do not take swimming lessons?
Q6
Structured
3 marks
🖼 Visual
The bar graph below shows the number of stamps collected by 5 members of a local stamp club in the month of October.
a) Find the average number of stamps the members collected in the month of October.
b) The total number of stamps collected by the 5 members in November is the same as in October. However, a new member joined the stamp club and the average number of stamps collected by each member became 89. How many stamps did the new member collect in November?
Q7
Open-ended
3 marks
🖼 Visual
The figure shown below, a trapezium ABCD was folded as shown. AB is parallel to CD. AE is parallel to BF. ∠AEF = 65°. Find ∠FAE.
Q8
Open-ended
3 marks
Faith has 2 tanks, A and B of different capacities. If tank A is filled by a tap at a rate of 3 litres per minute and tank B is filled by a tap at a rate of 5 litres per minute, when tank A is completely filled, 5 litres of water flowed out from tank B.
If tank A is filled by a tap at a rate of 4 litres per minute and tank B is filled by a tap at a rate of 3 litres per minute, when tank A is completely filled, tank B is only half-filled. What is the capacity of tank B?
Q9
Open-ended
3 marks
Arthur and Eunike started off from the same place at 10 am towards Plaza Senayan. When Eunike had completed 4/5 of the distance, Arthur had only completed 2/3 of the distance to Plaza Senanyan. Eunike's average speed was 12 km/h faster than Arthur's. What was Arthur's speed?
Q10
Open-ended
3 marks
🖼 Visual
In the diagram shown below, 23 identical toy wheels were placed between two walls with equally spaced gaps between them. The first toy wheel and the last toy wheel were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a toy wheel was 7 cm, find the length of the gap between any two adjacent wheels as shown below.
Q11
Open-ended
3 marks
Four children, Angela, Belinda, Christobel and Dorothy shared $450. Angela received 1/2 of the total amount of money received by Belinda, Christobel and Dorothy. Belinda received 4/11 of the total amount of money received by Angela, Christobel and Dorothy. Christobel received 3/7 of the total amount of money received by Angela, Belinda and Dorothy. Dorothy gave $15 to Christobel, what is the ratio of Dorothy's money to Christobel's money?
Q12
Open-ended
4 marks
Kiren put all his stamps into 24 large albums and 18 small albums. Each large album can hold 18 more stamps than each small album. 2/5 of his stamps were put into all the small albums and the rest were put into the large albums. How many stamps can be put into one large album?
Q13
Open-ended
4 marks
🖼 Visual
The figure below is made up of semicircles, a square ABDF and a rectangle BCEF. The length of the square ABDF is 20 cm.
Find the area of the shaded figure. Leave your answer in terms of π
Q14
Structured
5 marks
🖼 Visual
The bill for a dinner for 4 friends at Sedap Restaurant is shown below. A service charge of 10% was included in the bill before a GST of 7% is added.
(a) How much must each of the 4 friends pay for his dinner if they share the cost equally? Round off your answer to the nearest dollar.
(b) The price of the crab and some of the information are missing from the bill. What was the price of the 2 crabs without the service charge and the GST?
Q15
Open-ended
5 marks
🖼 Visual
The figure below is folded using a rectangular strip of paper. Find the length of the strip of paper.
Q16
Open-ended
5 marks
Ryan bought some pears and apples in the ratio of 3 : 5 respectively. The cost of an apple was $0.50 less than the cost of a pear. He spent a total of $95 buying the pears and apples. The total cost of the apples was $5 more than the total cost of the pears. How much did each pear cost?
Q17
Structured
5 marks
🖼 Visual
"Chatty" phone company offers mobile phone services and charges at the following rate:
*Total bill includes monthly subscription.
(a) In February, Jane made 180 minutes of outgoing calls and sent a total of 1000 SMS. How much was her total bill if she had subscribed to Plan A?
(b) How much would she have saved in February if she had subscribed to Plan B?
Q18
Structured
4 marks
🖼 Visual
Two types of square-shaped tiles, tile 1 and tile 2 are available to make a larger pattern on the floor. The pattern of each square-shaped tile is shown below.
Tile 1 is made up of 3 white squares and 1 black square.
Tile 2 is made up of 2 white squares and 2 black squares.
Figure 1 shows a floor laid with Tile 1 and Tile 2 in a repeated pattern.
(a) 90 pieces of Tile 1 were used to cover part of the floor in the room in the pattern shown in figure 1. Find the total number of tiles needed to tile the floor in figure 1. (Only complete tiles were used)
(b) What percentage of the floor in figure 1 was covered with black squares?