Q1
MCQ
1 mark
In the numeral 3 891 457, the value of digit 8 is ____.
P6 Mathematics SA1 2012 — Raffles Girls
Source: Raffles Girls, 2012
This P6 Mathematics SA1 paper from Raffles Girls (2012) covers money, measurement, fractions, percentage, average, rate and speed and patterns and algebra 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
Arrange the fractions 1/2, 3/4, 4/5 in descending order.
Q3
MCQ
1 mark
Sumathi has a roll of ribbon which is 5 m long. What is the maximum number of 30-cm pieces that she can cut from it?
Q4
MCQ
1 mark
What is the value of (100 – 8p) ÷ 4 when p = 5 ?
Q5
MCQ
1 mark
An apple cost $0.50, an orange cost $0.40 and a lemon cost $0.35. Find the ratio of the cost of the apple to the cost of the orange to the cost of the lemon. Express your answer in its simplest form.
Q6
MCQ
1 mark
Express 7 5/8 as an improper fraction.
Q7
MCQ
1 mark
Which one of the following is the same as 7 3/8 km?
Q8
MCQ
1 mark
🖼 Visual
The diagram below shows the different landmarks in Town Y. John is standing at Happy Mall and is facing the market. He turns 135° in a clockwise direction. Where is he facing now?
Q9
MCQ
1 mark
Simplify 10k + 12 – 3k + k – 5.
Q10
MCQ
1 mark
🖼 Visual
Which one of the following is a net of the solid shown?
Q11
MCQ
2 marks
Lucy took 3h to travel from City X to City Y at 60 km/h. George took 2h to travel from City Y to City X. Find George's average speed.
Q12
MCQ
2 marks
Add up all the even numbers between 1 and 23. What is the digit in the tens place of the sum?
Q13
MCQ
2 marks
Li Min had 35 stickers. Her brother had 28 stickers. Express the number of stickers Li Min had as a percentage of the number of stickers her brother had.
Q14
MCQ
2 marks
The amount of money Sue had was 2 1/2 times that of Winnie's. Express the amount of money Winnie had as a percentage of the amount of money Sue had.
Q15
MCQ
2 marks
Sally bought 72 beads from the shopping mall. She wanted to pack all the beads equally into packets. She wanted to have at least 4 packets and also at least 3 beads in each packet. How many different ways can she pack her beads?
Q16
Open-ended
1 mark
Use the digits below to form the largest odd number. Each digit can only be used once.
0, 2, 5, 6, 7
Q17
Open-ended
1 mark
Find the value of 87 + (43 – 22) ÷ 7 – 6 x 8.
Q18
Open-ended
1 mark
1/2 of A is equal to 3/4 of B. Express B as a fraction of A in the simplest form.
Q19
Open-ended
1 mark
Mrs Lim had 4 1/2 kg of sugar. She used 1 3/5 kg of sugar to bake a cake. How much sugar had she left? Leave your answer as a mixed number in the simplest form.
Q20
Open-ended
1 mark
Express 3 4/7 as a decimal correct to 1 decimal place.
Q21
Open-ended
1 mark
Express 20 030 cm in metres and centimetres.
Q22
Open-ended
1 mark
🖼 Visual
The figure below, not drawn to scale, is made up of 3 semicircles. Given that OX = OY and XY is a straight line measuring 14 cm, find the perimeter of the figure. (Take π = 22/7)
Q23
Open-ended
1 mark
Vivian is k years old. Richard is three times as old as Vivian but he is 2 years older than Ahmad. Express Ahmad's age in terms of k.
Q24
Open-ended
1 mark
🖼 Visual
The table below shows the charges for two game stalls at the amusement park. Mr and Mrs Lim took their child to the amusement park. Each of them played all the games only once. What was the average spending of the 3 people at the amusement park?
Q25
Open-ended
1 mark
Ali completed his homework at 1.20 p.m. He took 2 1/2 hours to complete his homework. What time did he start? Give your answer in 12-hour clock.
Q26
Open-ended
2 marks
🖼 Visual
In the figure below, not drawn to scale, AB = AD, BC = CD and AC = CE. Given that BD is perpendicular to AE, find the area of the shaded part ABCD.
Q27
Open-ended
2 marks
Susan bought 3 identical books and 6 identical pens. If she had bought 4 such books and 7 such pens, it would cost her $15 more. If each pen cost $7 less than each book, what was the price of one book?
Q28
Open-ended
2 marks
Susie spent 3/7 of the sum of money she had on a watch and 1/4 of the remainder on a handbag. If she had $390 left, how much money did she have at first?
Q29
Open-ended
2 marks
🖼 Visual
The rates for photocopying services at a bookshop are shown in the table below. How much does it cost for Mrs Lim to photocopy 150 pages?
Q30
Open-ended
2 marks
🖼 Visual
The figure below is not drawn to scale. QR = RS = ST. Find ∠UQR.
Q31
Open-ended
2 marks
[Paper 2, ____] The ratio of the amount of money Jane had to the amount of money Kathy had was 3 : 1. Jane had $200 more than Kathy. How much must Kathy give to Jane so that the ratio of the amount of money Jane had to the amount of money Kathy had becomes 7 : 1?
Q32
Open-ended
2 marks
[Paper 2, ____] Belle had $63.60 at first. She bought 7 papayas at $3a each. How much money had she left?
Q33
Open-ended
2 marks
[Paper 2, ____] Mr Lim travelled from Town P towards Town Q at an average speed of 60 km/h during the first 3 hours of his journey. Then he travelled another 360 km to reach Town Q. What was the distance between Town P and Town Q?
Q34
Open-ended
2 marks
🖼 Visual
[Paper 2, ____] In the figure below, not drawn to scale, ABCD is a trapezium. Given that AB // DC, find the area of triangle BCD.
Q35
Open-ended
2 marks
[Paper 2, ____] For her Science examinations, Lyna scored 84 marks for mid-year and 60 marks for final year. What was the percentage decrease in her scores?
Q36
Open-ended
3 marks
[Paper 2, ____] Jolene and Stella save $7800 altogether. Jolene's savings is 3/5 of Stella's savings. How much does Stella save?
Q37
Structured
3 marks
🖼 Visual
[Paper 2, ____] The table below shows the number of muffins sold in a week. (a) Find the total number of muffins sold in the week. Express your answer in terms of d. (b) Given that d = 80, find the total number of muffins sold over the weekend.
Q38
Structured
4 marks
🖼 Visual
[Paper 2, ____] Observe the pattern in the table below: (a) Find the values of (i) and (ii). (b) What is the first number (Row 1) in Column 77?
Q39
Open-ended
3 marks
[Paper 2, ____] Pears were sold in packets of 12 and each packet cost $7. William had $240. What was the maximum number of pears he could buy?
Q40
Open-ended
3 marks
[Paper 2, ____] To prepare iced lemon tea, Mrs Soh had to mix black tea, lemon juice and sugar syrup in the ratio 40 : 2 : 3. If she used 1 litre of black tea, what would be the total amount of lemon juice and sugar syrup needed? Express your answer in ml.
Q41
Open-ended
3 marks
[Paper 2, ____] At first, Ashley had 550 marbles altogether. There were 3/8 as many blue marbles as yellow marbles. Later she bought some blue marbles. For every 4 yellow marbles she had, her father gave her 25 more yellow marbles. The total number of yellow marbles then became 1 2/3 times that of the blue marbles. How many blue marbles did she have in the end?
Q42
Open-ended
4 marks
[Paper 2, ____] Town Lala and Town Yaya are 840 km apart. At 8.30 a.m., a car left Town Lala for Town Yaya, travelling at a constant speed. At the same time, a lorry set off from Town Yaya for Town Lala at a constant speed too. At 1.30 p.m., the two vehicles passed each other. If the speed of the car was 24 km/h faster than the lorry, find the speed of the car.
Q43
Open-ended
4 marks
🖼 Visual
[Paper 2, ____] Ali went to a gardening D.I.Y. store to purchase 4 wooden planks A, B, C and D with pre-drilled holes on them. Plank A had 9 holes which divided it into 10 equal parts. Plank B had 7 holes which divided it into 8 equal parts. Ali assembled the planks together to form a rectangular border for his potted plants. The holes at w, x, y and z formed the 4 corners of the rectangle. If Plank A is 360 cm long, find the length of Plank B.
Q44
Open-ended
4 marks
[Paper 2, ____] There are 4 adults. Each time, two adults are weighed, giving a total of 6 readings, in kilograms as listed below:
103.5, 111, 112.5, 117, 118, 122
What is the average mass of the 4 adults?
Q45
Structured
5 marks
🖼 Visual
[Paper 2, ____] (a) The diagram below is made up of a semicircle and a triangle OBC. Given that OA = AB, find the perimeter of the shaded parts in terms of π. (b) The diagram below shows a pattern that is made up of identical squares and quadrants. Find the total shaded area. (Take π = 3.14)
Q46
Open-ended
5 marks
[Paper 2, ____] Lynette had a total of 8000 gold, silver and bronze beads at first. 30% of them were gold and 35% of the remainder were silver. She sold 1/4 of the gold beads and 2/5 of the bronze beads. How many beads had she left?
Q47
Open-ended
5 marks
[Paper 2, ____] Mr Lee sold 15% of his cupcakes on Monday. He sold 90 fewer cupcakes on Tuesday than on Monday. He then sold 70 fewer cupcakes on Wednesday than on Tuesday. On Thursday, he sold 330 cupcakes and found that he had half of his original number of cupcakes left. How many cupcakes did he sell altogether?
Q48
Open-ended
4 marks
[Paper 2, ____] There are some red and green beans in a container. If Ahmad removes 20 red beans, the ratio of the number of red beans to the number of green beans becomes 6 : 5. If Ahmad removes 10 green beans, the ratio of the number of red beans to the number of green beans becomes 4 : 3. How many beans are there in the container?