Q1
MCQ
1 mark
Which one of the following pairs of numbers has exactly four common factors?
P6 Mathematics SA1 2017 — Nanyang
Source: Nanyang, 2017
This P6 Mathematics SA1 paper from Nanyang (2017) covers measurement, ratio, percentage, area and perimeter, money 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
Open-ended
2 marks
Qian Hao is 1 1/2 m tall, Amir is 1.65 m tall and Jinesh is 1.35 m tall. What is the ratio of Qian Hao's height to Amir's height to Jinesh's height? Give your answer in the simplest form.
Q2
Open-ended
2 marks
The total mass of Jake and Lokesh is 15p kg. Jake is 6p kg. If p = 7, what is the mass of Lokesh?
Q2
MCQ
1 mark
What is the value of 80 ÷ 4000?
Q3
Open-ended
2 marks
At a funfair, the number of popsicles sold at Stall A was thrice the number of popsicles sold at Stall B. The number of popsicles sold at Stall A was 5 times the number of popsicles sold at Stall C. What is the ratio of the number of popsicles sold at Stall B to the number of popsicles sold at Stall C to the number of popsicles sold at Stall A?
Q3
MCQ
1 mark
The following fractions are arranged from the smallest to the largest.
3/10 , 2/5 , ____ , 3/5 , 3/4
What could be the missing fraction in the box?
Q4
Structured
2 marks
🖼 Visual
PQ and PS are two sides of a rectangle. Complete the rectangle by drawing the other 2 sides in the square grid below.
Q4
MCQ
1 mark
Jovan's mass was 32 kg last year. This year, his mass is 40 kg. What is the percentage increase in Jovan's mass?
Q5
Open-ended
2 marks
🖼 Visual
The figure is made up of 5 identical rectangles and a square. The area of the figure is 576 cm². Find the length of AB.
Q5
MCQ
1 mark
🖼 Visual
The figure shows a trapezium. Which of the two angles given in the figure add up to 180°?
Q6
Open-ended
3 marks
Leroy earns $0.50 for every book that he sells. For every 60 books that he sells, he will earn an additional bonus of $10. How much did he earn from selling 203 books?
Q6
MCQ
1 mark
🖼 Visual
Rectangle ABCD is made up of 2 identical squares. The area of each square is 100 cm². Find the perimeter of Rectangle ABCD.
Q7
MCQ
1 mark
🖼 Visual
The graph shows the number of children at the park from Monday to Friday. On which two days were there the same number of girls at the park?
Q7
Open-ended
3 marks
There were a total of 270 stickers in Bag A and Bag B. After 56 stickers from Bag A were moved to Bag B, the ratio of number of stickers in Bag B to the number of stickers in Bag A is 3 : 2. How many stickers were there in Bag A at first?
Q8
MCQ
1 mark
Alvin bought 3y stickers. Bernard bought 7 fewer stickers than Alvin. Charles bought 1/4 as many stickers as Bernard. How many stickers did Charles buy?
Q8
Open-ended
3 marks
🖼 Visual
In the figure, FGHI is a trapezium and HJK is a right-angled triangle. ∠FGH = 76°, ∠HIL = 64° and FG is parallel to KH. Find ∠HKJ.
Q9
MCQ
1 mark
There were 4500 participants in a marathon. 35% of the participants were female. How many female participants were there?
Q9
Open-ended
3 marks
🖼 Visual
The figure shows a square WXYZ with 3 identical quarter circles removed. The length of WX is 98 cm. Find the perimeter of the shaded part. (Take π = 22/7)
Q10
Structured
3 marks
🖼 Visual
At first, a tank was filled with 80 l of water. The water was drained out using two taps, Tap A and Tap B. Both taps were turned on at the same time and after a few minutes, Tap B was turned off. The line graph shows the amount of water in the tank over 14 minutes.
(a) How many minutes after both taps were turned on was Tap B turned off?
(b) In one minute, how many litres of water flowed from Tap A?
Q10
MCQ
1 mark
The ratio of the number of stamps Si Hui had to the number of stamps Pei Xuan had is 4 : 3. Pei Xuan had 84 stamps. How many stamps did Si Hui have?
Q11
MCQ
2 marks
Menon bought 5/8 l of milk and drank 1/3 of it. How much milk was left?
Q11
Open-ended
4 marks
Alicia bought a handbag for $428 after a discount of 20%. She also bought a purse at 28% discount. The total discount for the handbag and the purse was $121. What was the price of the purse before the discount?
Q12
Open-ended
4 marks
Chong and Darren brought a total sum of $4976 for a tour. At the end of the tour, the amount of money Chong had left was 5 times the amount he had spent. The amount of money Darren had spent was thrice the amount he had left. The total amount of money Chong and Darren had left was $2126. How much did Darren bring for the tour?
Q12
MCQ
2 marks
Which one of the following numbers is the smallest?
Q13
MCQ
2 marks
🖼 Visual
The figure is made up of a quarter circle and a semicircle. The radius of the quarter circle is 14 cm. Find the perimeter of the shaded part. (Take π = 22/7)
Q13
Open-ended
4 marks
Mdm Thana baked 360 muffins. 4/9 of the muffins were chocolate muffins and the rest were blueberry muffins. After selling an equal number of chocolate and blueberry muffins, 3/11 of the total muffins left were chocolate muffins. How many blueberry muffins did she sell?
Q14
MCQ
2 marks
🖼 Visual
In the figure, AD and CF are straight lines. ∠BOC = 87°, ∠DOE = 56° and ∠EOF = 90°. Find ∠AOB.
Q14
Open-ended
4 marks
🖼 Visual
The figure is made up of two identical large semicircles and four identical small quarter circles. The diameter of the semicircle is 32 cm. Find the total area of the shaded parts. (Take π = 3.14)
Q15
MCQ
2 marks
🖼 Visual
The figure is made up of 10 identical squares. The length of each square is 3 cm. Find the perimeter of the figure.
Q15
Structured
5 marks
A box contained some pears and some mangoes. The ratio of the number of pears to the number of mangoes was 3 : 7 at first. After Mr Lim put in 28 pears and removed 60 mangoes from the box, the number of pears became equal to the number of mangoes in the box.
(a) How many pears were there in the box at first?
(b) How many fruits were there in the box at first?
Q16
Open-ended
1 mark
Simplify the following algebraic expression.
4r + 15 + 12r ÷ (2 × 3) − 7
Q16
Open-ended
5 marks
Bernice had 600 beads. 20% of them were purple and the rest were green. She used 80 purple beads to make a necklace. After that, her mother gave her some purple beads and the percentage of purple beads became 40% of the total number of beads. How many purple beads did Bernice's mother give her?
Q17
Open-ended
5 marks
A florist ordered some flowers. 800 of the flowers were tulips while the rest were roses. 2/5 of the roses were red. 1/2 of the remaining roses were white and the rest of the remaining roses were blue. Given that 10% of the flowers were blue roses, how many flowers did she order?
Q17
Open-ended
1 mark
Suzie bought 3512 yellow buttons and 1648 blue buttons. How many more yellow buttons than blue buttons did she buy?
Q18
Open-ended
4 marks
🖼 Visual
Mrs Heng wanted to decorate a rectangular piece of wall in the music hall. She divided the top part of the wall into equal parts of length 0.8 m and painted each part as shown in Figure 1. She divided the bottom part of the same wall into equal parts of length 1.2 m and painted each part as shown in Figure 2. After she completed the decoration, there were 108 more ☀ (suns) than ♫ (music notes) on the wall. Find the length of the wall.
Q18
Open-ended
1 mark
Find the value of 16 ÷ 8 × (24 − 16 ÷ 4).
Q19
Open-ended
1 mark
Express 3 1/50 as a decimal.
Q20
Open-ended
1 mark
Round off 8.765 to the nearest tenth.
Q21
Open-ended
1 mark
Express 18 l 52 ml in litres.
Q22
Open-ended
1 mark
🖼 Visual
In the figure, XYZ is a straight line. Find ∠a.
Q23
Open-ended
1 mark
Tarita starts a savings account with $3600 at a bank. The interest rate is 2% per year. How much interest will she get in her savings account at the end of one year?
Q24
Open-ended
1 mark
There were a total of 210 men and women who took part in a cooking competition. The ratio of the number of men to the number of women is 5 : 2. How many more men than women took part in the competition?
Q25
Open-ended
1 mark
🖼 Visual
Jeremy took part in a cycling expedition. The line graph shows the total distance cycled by Jeremy from 1 a.m. to 5 a.m. During which one-hour period was the distance cycled by Jeremy the greatest?
Ans: ____ a.m. to ____ a.m.
Q26
Open-ended
2 marks
Annabel bought 10 packets of flour. Each packet of flour weighed 950 g. She used 1.2 kg of flour for some baking. How much flour had she left after baking?
Q27
Open-ended
2 marks
Yana had $24 more than Trisha. 50% of the amount of money Yana had is equal to 3/4 of the amount of money Trisha had. How much did they have altogether?
Q28
Open-ended
2 marks
🖼 Visual
Tim drove from Town A to Town C through Town B. He left Town A at 7.45 a.m. and reached Town C at 5.15 p.m. The time he took to travel from Town B to Town C was twice as long as the time he took to travel from Town A to Town B. What was the time taken by Tim to travel from Town A to Town B? Give your answer in minutes.
Q29
Open-ended
2 marks
🖼 Visual
A circular piece of paper of radius 6 cm is placed on top of a semicircular piece of paper. Find the area of the shaded part. Leave your answer in terms of π.
Q30
Open-ended
2 marks
🖼 Visual
The table shows the marks obtained by Jun Yi in an examination. A portion of the table is covered by an ink blot. For each subject, the marks obtained is a whole number and its maximum is 100. Jun Yi obtained an average of 86 marks for English and Mathematics. The total marks he obtained for Chinese and English is 176. How many marks did Jun Yi obtain for Chinese?