Q1
MCQ
1 mark
Which one of the following is a common factor of 6 and 16?
P6 Mathematics SA1 2016 — Nanyang
Source: Nanyang, 2016
This P6 Mathematics SA1 paper from Nanyang (2016) covers measurement, area and perimeter, geometry and angles, percentage, ratio and money 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
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) The table below shows the mass of a group of children. Express the ratio of Kelsey's mass to Gopal's mass to Jiawen's mass. Give your answer in the simplest form.
Q2
Open-ended
2 marks
(Paper 2, ____) Gary is y years older than his sister. His sister is 10 years old now, how old is Gary now?
Q2
MCQ
1 mark
Which one of the following is nearest to 1?
Q3
Open-ended
2 marks
(Paper 2, ____) Mrs Lim sold 8.09 kg of beef in the morning and 9200 g in the afternoon. How much beef did she sell altogether? Give your answer in kg.
Q3
MCQ
1 mark
Find the value of 750 ÷ 8.
Q4
MCQ
1 mark
The price of a car was increased by 20% to $120 000. How much was the original price of the car?
Q4
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) Two sides of a square WXYZ have been drawn in the square grid as shown below. Complete the drawing of the square WXYZ.
Q5
MCQ
1 mark
Jun Xi has 80 marbles. He has 2x marbles fewer than his sister. How many marbles do both of them have altogether?
Q5
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) In the figure below, PQTU is a square and QRST is a rectangle. The area of Square PQTU is 196 cm² and the area of Rectangle QRST is 84 cm². Find the length of TS.
Q6
MCQ
1 mark
Julian had some beads. He gave away 210 beads and was left with 30% of the beads. How many beads did he have at first?
Q6
Open-ended
3 marks
(Paper 2, ____) Mr Heng bought 10 pizzas to give to a group of children. After each girl was given 1/8 of a pizza and each boy was given 1/4 of a pizza, there was no pizza left. There were thrice as many girls as boys. How many boys were there?
Q7
MCQ
1 mark
🖼 Visual
EFGH is a parallelogram. FJ and KG are straight lines. Find ∠JFG.
Q7
Open-ended
3 marks
(Paper 2, ____) The ratio of the number of stickers Ming had to the number of stickers Raihana had is 11 : 7. After Ming gave 42 stickers to Raihana, the ratio of the number of stickers Ming had to the number of stickers Raihana had became 4 : 5. How many stickers did they have altogether?
Q8
MCQ
1 mark
🖼 Visual
The graph below shows the favourite subjects of a class of students. How many more students prefer Maths or Science to Chinese?
Q8
Open-ended
3 marks
🖼 Visual
(Paper 2, ____) Figure 1 below shows a rectangular piece of paper CDEF. It is folded along DF to form Figure 2. Find ∠a.
Q9
MCQ
1 mark
🖼 Visual
The figure below is made of eight identical squares and a right-angled triangle. Find the perimeter of the figure.
Q9
Open-ended
3 marks
(Paper 2, ____) On Day 1 of a camp, the participants were divided to form groups such that there were exactly 12 participants in each group. On Day 2, 8 more participants joined the camp and all the participants were then rearranged to form new groups. Each group had 10 participants and there were 3 more groups than Day 1. On both days, no participants left the camp. How many participants were there at the camp on Day 2?
Q10
MCQ
1 mark
The sides of a triangle are in the ratio 6 : 4 : 9. The length of the shortest side is 36 cm. Find the length of the longest side.
Q10
Structured
3 marks
🖼 Visual
(Paper 2, ____) A table in a hall can sit 4 pupils as shown in Diagram 1. When the tables are joined together, they could sit the number of pupils as illustrated in Diagrams 2 and 3 below. (a) How many pupils could be seated when 4 tables are joined together? (b) How many pupils could be seated when 50 tables are joined together?
Q11
Open-ended
4 marks
(Paper 2, ____) Naomi and Zec shared a sum of money. 1/4 of Naomi's share was $120 more than 20% of Zec's share. They had a total of $5700. How much did Naomi have?
Q11
MCQ
2 marks
Find the product of 4/3 and 5/6.
Q12
Open-ended
4 marks
(Paper 2, ____) At first, the ratio of the number of children to the number of adults at a party was 1 : 2. After 96 more children and 118 more adults joined the party, the ratio of the number of children to the number of adults at the party became 3 : 5 in the end. How many adults were there at the party at first?
Q12
MCQ
2 marks
Arrange the following numbers in descending order. 9, 9.09, 9.009, 9.9
Q13
MCQ
2 marks
What is the perimeter of a semicircle with radius 14 cm? (Take π = 22/7)
Q13
Open-ended
4 marks
(Paper 2, ____) Mrs Lim bought some green ribbon and some purple ribbon. The total length of the green ribbon and the purple ribbon she bought was 396 1/3 m. After using 4/7 of the green ribbon and 3/5 of the purple ribbon, she had an equal length of green ribbon and purple ribbon left. How many metres of purple ribbon did she buy?
Q14
MCQ
2 marks
🖼 Visual
In the figure below, AB is parallel to DC and AEC cuts ∠BCD equally. AEC and BED are straight lines. Given that ∠ABD is 65° and ∠AED is 107°, find ∠BCD.
Q14
Open-ended
4 marks
(Paper 2, ____) Azean had 0.6 as many books as Tricia. Azean gave away 20% of her books and Tricia bought another 108 books. As a result, Azean had 0.5 as many books as Tricia. How many books did Tricia have in the end?
Q15
MCQ
2 marks
🖼 Visual
The figure below is made of a right-angled triangle and a rectangle. Find the area of the figure.
Q15
Open-ended
4 marks
🖼 Visual
(Paper 2, ____) The figure below is made up of 2 overlapping quadrants. The area of the shaded part is 36 cm². Using π = 3.14, find the perimeter of the figure.
Q16
Open-ended
1 mark
Simplify 6n + 8 + 2n − 7.
Q16
Structured
5 marks
🖼 Visual
(Paper 2, ____) 250 pupils were asked to choose one of their favourite fruits. The bar graph below shows the choice of the pupils. The result for the number of pupils who chose orange was accidentally erased and some pupils did not choose a fruit at all. (a) What percentage of the pupils chose mango as their favourite fruit? (b) The total number of pupils who chose watermelon and mango as their favourite fruits was twice the number of pupils who chose apple and orange. How many pupils did not choose a fruit at all?
Q17
Open-ended
5 marks
🖼 Visual
(Paper 2, ____) A symmetric figure is drawn on a rectangular piece of paper measuring 42 cm by 24 cm as shown below. Its outline consists of 4 identical quarter circles, 1 semi-circle and 8 straight lines. Using π = 3.14, find the area of the figure.
Q17
Open-ended
1 mark
Find the value of 8008 − 299.
Q18
Open-ended
5 marks
(Paper 2, ____) Jolene spent 1/4 of her salary on a bag. She bought a pair of shoes with 1/6 of the remaining money and a scarf with $225. She then gave 2/5 of the rest of her money to her mother and $180 to her son. In the end, she had 3/10 of her salary left. How much was Jolene's salary?
Q18
Open-ended
1 mark
Find the value of (18 + 12) ÷ 5 + 1 × 4.
Q19
Open-ended
1 mark
Express 17.05 as a mixed number in its simplest form.
Q20
Open-ended
1 mark
Round off 499.998 to the nearest hundredth. Leave your answer in 2 decimal places.
Q21
Open-ended
1 mark
Ji Sub bought an oven for $1070 inclusive of 7% GST. How much was the usual price of the oven without GST?
Q22
Open-ended
1 mark
🖼 Visual
In the figure below, PQ is a straight line, RS and TU are parallel. Find the value of y.
Q23
Open-ended
1 mark
What is 2016 cm in m? Express your answer as a decimal.
Q24
Open-ended
1 mark
🖼 Visual
The graph below shows the height of a plant over a 5-month period. What is the difference in the height of the plant between the 2nd and the 4th month?
Q25
Open-ended
1 mark
A painter mixed 2 l of blue paint and 6 l of yellow paint with every litre of white paint for a painting job. He used a total of 36 l of paint for the painting job. How many litres of white paint did he use?
Q26
Open-ended
2 marks
The total cost of 400 identical bags is $482. What is the total cost of 100 such bags?
Q27
Open-ended
2 marks
The length of a rectangle is 6 times its breadth. Express the ratio of the length of the rectangle to the perimeter of the rectangle in the simplest form.
Q28
Open-ended
2 marks
Boon went for a 3-day hiking trip. Each day he walked 2.4 km more than the day before. He walked a total of 54 km for the three days. How many kilometres did he walk on the third day?
Q29
Open-ended
2 marks
🖼 Visual
The figure below is made up of a circle and a square. Points A, B, C and D lie on the circumference of the circle. The area of Square ABCD is 50 cm². Find the area of the circle in terms of π.
Q30
Open-ended
2 marks
After a class test, Si Won and some of his friends calculated their average marks. They realised that if Si Won had scored 15 marks more, they would have an average of 85 marks. However, if Si Won had scored 7 marks more, they would have an average of 83 marks. How many of them, including Si Won, were calculating their average marks together?