Q1
MCQ
1 mark
What is the missing value in the box?
1393 x 1 000 = ____ x 10
P6 Mathematics SA1 2014 — Raffles Girls
Source: Raffles Girls, 2014
This P6 Mathematics SA1 paper from Raffles Girls (2014) covers measurement, money, fractions, percentage, ratio and time 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.
Q2
MCQ
1 mark
🖼 Visual
Study the number line below.
What is the value represented by A?
Q3
MCQ
1 mark
Which of the following is the same as 4010 g?
Q4
MCQ
1 mark
Steven is paid $(8 + 3x) hourly for his job. He works 8 hours a day.
If x = 7, what is his daily salary?
Q5
MCQ
1 mark
A box contained red, green and blue balls.
For every 4 red balls sold, 7 green balls were sold.
For every 3 blue balls sold, 5 green balls were sold.
Find the ratio of the number of red balls sold to the number of green balls sold to the number of blue balls sold.
Q6
MCQ
1 mark
Which of the following fractions is the greatest?
Q7
MCQ
1 mark
Express 0.28 as a fraction.
Q8
MCQ
1 mark
🖼 Visual
In the figure below, Sam is standing in the centre and is facing the library. Which place will he be facing when he turns 135° anti-clockwise?
Q9
MCQ
1 mark
🖼 Visual
In the figure below, ABC is an isosceles triangle and ADE is an equilateral triangle. ∠ABC is 32° and ∠BAD = ∠CAE. Find ∠CAE.
Q10
MCQ
1 mark
Express 10¢ as a percentage of $10.
Q11
MCQ
2 marks
Joelle has some red and blue pens. Her red pens are in bundles of 8 and her blue pens are in bundles of 9. The difference between the total number of red pens and blue pens is 37. There are 10 bundles of red pens altogether. How many bundles of blue pens are there?
Q12
MCQ
2 marks
At first, there were 1.6ℓ more water in Tank A than in Tank B. After an equal amount of water was poured out from both tanks, the amount of water left in Tank A was thrice the amount of water left in Tank B.
If a total of 2ℓ of water was poured out, find the amount of water in Tank B at first.
Q13
MCQ
2 marks
🖼 Visual
Figure ABCD is made up of 2 identical triangles, ABC and ACD, each with a shaded triangle in it.
The height of the triangle ABC is twice the height of the shaded triangle in it.
The area of each shaded triangle is 14 cm².
Find the unshaded area of figure ABCD.
Q14
MCQ
2 marks
Sally had 340 beads. 70% of them were gold and 50% of the remainder were silver. The rest were purple. How many purple beads did she have?
Q15
MCQ
2 marks
Some beads are packed into packets of 5 or 7. If the ratio of the number of packets to the number of beads is 5 : 29, what fraction of the packets contain 7 beads?
Q16
Open-ended
1 mark
Arrange the numbers below in descending order.
45 858, 84 858, 48 548, 84 548
Q17
Open-ended
1 mark
What is the value of 9 x 7 + (10 - 6) x 3?
Q18
Open-ended
1 mark
Mrs Fong had 8/9 m of ribbon. She cut the ribbon into 4 equal pieces without remainder. What was the length of each piece of ribbon?
Give your answer in its simplest form.
Q19
Open-ended
1 mark
2 2/9 = 2/3 + 10/9 + ____
What is the missing fraction in the box?
Q20
Open-ended
1 mark
Express 0.31 as a percentage.
Q21
Open-ended
1 mark
A jug contained 3 400 mℓ of milk. Mrs Lim used 850 mℓ of milk for baking. How many millilitres of milk was left in the jug now?
Q22
Open-ended
1 mark
🖼 Visual
In the figure below, the diameter of the big and small circles are 8 cm and 4 cm respectively. Find the area of the shaded part in terms of π.
Q23
Open-ended
1 mark
Jack is r years old now. He is twice as old as his sister.
How old will his sister be in 6 years' time?
Express your answer in terms of r.
Q24
Open-ended
1 mark
Mike turned on tap A at 3 p.m. and water flowed into an empty tank at a rate of 70 litres per hour.
Tap B was turned on at 4 p.m. and water flowed into the same tank at a rate of 50 litres per hour.
What was the volume of water in the tank at 5 p.m.?
Q25
Open-ended
1 mark
A machine took 5 minutes to produce 1 packet of instant noodles.
How many hours did it take to produce 40 packets of instant noodles?
Q26
Structured
2 marks
🖼 Visual
The figure below is made up of a square ABCD and equilateral triangle XYZ.
The area of the shaded equilateral triangle is 20cm².
YC is 1/3 of DC. YZ is 6 cm.
Find the unshaded area in the square ABCD.
Q27
Structured
2 marks
🖼 Visual
How many 50-g weights must be added on side A for the scale to balance?
Q28
Structured
2 marks
1/4 of Aisha's money is equal to 3/8 of Ben's money.
What fraction of Aisha's money must she give to Ben so that both of them have the same amount of money?
Give your answer in its simplest form.
Q29
Structured
2 marks
The sum of two numbers is 106.8.
The first number has three decimal places.
The second number is 99 times the first number.
What is the first number?
Q30
Structured
2 marks
🖼 Visual
The figure below is made up of a square and an isosceles triangle.
Line CD is a straight line and ∠ACD is 254°. Find ∠BAC.
Q31
Structured
2 marks
A pair of shoes cost $280 at "Shoes Variety". Mrs Chan bought it during a sale at a discount of 15%. How much did Mrs Chan pay for the pair of shoes in the end?
Q32
Structured
2 marks
Emelia had w boxes of chocolates.
There were 30 pieces of chocolates in each box.
She ate 7 pieces of chocolates and packed the remaining pieces of chocolates into 8 packets equally.
How many pieces of chocolates were there in each packet?
Express your answer in terms of w.
Q33
Structured
2 marks
John started driving from Singapore to Kuala Lumpur at an average speed of 90 km/h at 9 a.m. and reached Kuala Lumpur at 1 p.m. Find the distance for the whole journey.
Q34
Structured
2 marks
Mr Wong bought 580 pens. The ratio of the number of red pens to the number of black pens was 4 : 7. The ratio of the number of black pens to the number of green pens was 2 : 1. How many black pens did Mr Wong buy?
Q35
Structured
2 marks
6 workers can paint 48 chairs in 30 minutes.
How many chairs can 1 worker paint in 1 hour?
Q36
Structured
3 marks
Sally had some money at first and she spent 1/7 of her money on a wallet.
She spent the rest of the money on 2 chairs and a fan.
The 2 chairs cost $491 more than the wallet.
The fan cost $97 more than the wallet.
How much did the fan cost?
Q37
Structured
3 marks
Michelle bought 18 donuts at $y each and 16 loaves of bread at $1.50 each.
She gave the cashier $100.
(a) Express her change in terms of y.
(b) If y = 2, how much change did she receive?
Q38
Structured
3 marks
Andy started driving from Town A to Town B at an average speed of 80 km/h at 9 a.m..
Benny started driving from Town B to Town A at an average speed of 100 km/h at 9.30 a.m..
After 30 minutes of driving, Benny covered 1/5 of his journey.
At what time would Andy and Benny meet each other?
Q39
Structured
3 marks
Amy had some money.
If she bought a table and 5 identical chairs, she would spend all her money.
If she wanted to buy a table and an oven that cost $254 more than a chair, she would be short of $38.
How much money would Amy had left if she had bought the table?
Q40
Structured
3 marks
Mr. Lee mixed 5 ℓ of syrup with 23 ℓ of water to make some fruit punch.
He then poured all the fruit punch into cups. If each cup contained 200 mℓ of fruit punch and he sold each cup at $0.40, how much did he collect after he had sold all the cups of fruit punch?
Q41
Structured
3 marks
Joanne baked some chocolate and strawberry cookies.
60% of the cookies were chocolate.
After she baked another 40 chocolate and 40 strawberry cookies, 45% of the cookies were strawberry.
Find the total number of cookies she baked at first.
Q42
Structured
4 marks
In a train, the ratio of female passengers to male passengers was 5 : 3. When 16 female passengers alighted the train, the new ratio of female passengers to that of male passengers became 11 : 9.
(a) What was the original number of female passengers in the train?
(b) How many passengers were there in the train in the end?
Q43
Structured
3 marks
John rode his bicycle at an average speed of 20 km/h from Town A to Town B at 1p.m..
30 minutes later, Ken started riding his bicycle at an average speed of 40 km/h from Town A to Town B.
How much time did Ken need to catch up with John?
Q44
Structured
5 marks
In 9 days, Nelly used a total 84.6 kg of flour for baking. Each day, she used 1.04 kg less flour than the previous day. How many kilograms of flour did Nelly use on the first day?
Q45
Structured
5 marks
At first, Huimin had only ten-dollar notes and Jim had only two-dollar notes.
The number of notes Huimin had was 2/3 the number of notes Jim had.
After Huimin gave Jim $3 600, the number of notes Huimin had became 1/6 the number of notes Jim had.
What was the difference in the amount of money Huimin and Jim had at the end?
Q46
Structured
5 marks
Ken had some big and small packets of flour. The amount of flour in a big packet was 4 times as much as the amount of flour in a small packet.
If he repacked 2 big packets of flour into small packets, he would have 16 small packets of flour altogether.
If he continued to repack the remaining big packets of flour into small packets, he would have 36 small packets of flour altogether.
(a) What was the total number of small packets and big packets of flour Ken had?
(b) The difference between the total amount of flour in big packets and small packets of flour is 10 kg. Find out the amount of flour in a big packet.
Q47
Structured
5 marks
🖼 Visual
In the square grid below, the figure 'S' is made up of semicircles and quadrants. Each square has a side of 10 cm.
Take π as 3.14.
(a) Find the perimeter of the figure 'S'.
(b) Find the total area of the unshaded parts.
Q48
Structured
5 marks
Mr Ong had a total of 700 chairs and tables in his shop. After he had sold 70% of the chairs and 46% of the tables, he had 282 tables and chairs left.
Find the difference between the number of chairs and tables he had left.