Q1
MCQ
1 mark
In 397 062, the digit 9 is in the ____ place.
P6 Mathematics SA1 2016 — Raffles Girls
Source: Raffles Girls, 2016
This P6 Mathematics SA1 paper from Raffles Girls (2016) covers money, ratio, percentage, measurement, patterns and algebra 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.
Q2
MCQ
1 mark
Arrange the following fractions from the smallest to the largest. 7/11 , 5/7 , 7/10
Q3
MCQ
1 mark
🖼 Visual
Melvin wants to fill the 20-cm cubic tank below to its brim using some 500-ml bottles of water. How many bottles of water does he need to fill the tank to its brim?
Q4
MCQ
1 mark
If k = 9, what is the value of 4k − (3 + k)/2 ?
Q5
MCQ
1 mark
In a pet shop, 3/4 of the pets are fish. The rest are either rabbits or puppies. There are two times as many rabbits as puppies. What is the ratio of the number of fish to the number of puppies?
Q6
MCQ
1 mark
What is the missing fraction in the box? 3 4/5 = 13/5 + ☐
Q7
MCQ
1 mark
Express 2 2/5 as a decimal.
Q8
MCQ
1 mark
🖼 Visual
The diagram below shows the map of a town. The school is North-West of the ____
Q9
MCQ
1 mark
🖼 Visual
In the figure below, ABC is a right-angled triangle and BCD is an equilateral triangle. ∠ACD = 13°. Find ∠BAC.
Q10
MCQ
1 mark
There were 40 pupils in class 6H and 28 of them were boys. Find the percentage difference between the boys and girls in the class.
Q11
MCQ
2 marks
I am a number less than 40. I am a common multiple of 6 and 9 and a factor of 54. What number am I?
Q12
MCQ
2 marks
4.875 = 4 + 8 × 1/10 + 5 × 1/100 + ☐ × 1/1000. What is the number in the box?
Q13
MCQ
2 marks
Chloe had a box of blue and red marbles. 2/5 of the marbles were blue. Her brother took away half of the blue marbles from the box. Find the percentage of the red marbles in the end.
Q14
MCQ
2 marks
🖼 Visual
Mr. Lim covered a rectangular floor, measuring 240 cm long by 120 cm wide, completely with identical rectangular tiles by using the tiling pattern shown below. How many tile did he use altogether?
Q15
MCQ
2 marks
The ratio of men to women at a party is 5 : 3. The ratio of children to women at the same party is 3 : 2. What is the ratio of the number of men to the number of children?
Q16
Open-ended
1 mark
The average score of Sally, Kenny and Yasmine is 35. The total score of Sally and Yasmine is 45. What is Kenny's score?
Q17
Open-ended
1 mark
Find the value of 72 ÷ 6 × 2 + (13 − 11).
Q18
Open-ended
1 mark
Mrs Chan brought some fruits. 4/9 of the fruits were apples and the rest were pears. 7/12 of the apples were red apples and the rest were green apples. What fraction of the fruits were green apples?
Q19
Open-ended
1 mark
A green ribbon is 3/5 m long. It is 1/3 m longer than a yellow ribbon. Find the total length of the 2 ribbons.
Q20
Open-ended
1 mark
Convert 37 042 g to kilograms.
Q21
Open-ended
1 mark
Express 1.375 as a mixed number in its simplest form.
Q22
Open-ended
1 mark
🖼 Visual
The diagram below is made up of a shaded circle and a square. Find the circumference of the circle. (take π = 22/7)
Q23
Open-ended
1 mark
Mr Maju had $100. He bought 8 books at $x each. He donated half of his remaining money to charity. How much did he have left?
Q24
Open-ended
1 mark
In a marathon, James ran a total distance of 42 km in 5 hours. What was his average speed?
Q25
Open-ended
1 mark
Mei Fen and her friends watched a movie that lasted 127 minutes. The movie ended at 11.04 p.m.. What time did the movie start? Express your answer in 24-hour clock.
Q26
Open-ended
2 marks
🖼 Visual
The figure below is made up of a square ABCD, triangle BCE and triangle BCF. The height of triangle BCF is 3 times the height of triangle BCE. The length of the square is 10 cm. Find the value of the shaded area.
Q27
Open-ended
2 marks
44 lanterns were hung at an equal distance of 11 m apart from one another along a road. What is the distance between the 15th and 30th lantern?
Q28
Open-ended
2 marks
A tap takes a day to fill up a 2-m cube. How long does it take 3 taps to fill up a 6-m cube when they are turned on at the same time, assuming that the rate of flow for the 3 taps is the same?
Q29
Open-ended
2 marks
May keeps the same number of 50-cent and 20-cent coins in a box. The total value of money in the box is $9.80. What is the total number of coins in the box?
Q30
Open-ended
2 marks
🖼 Visual
In the diagram below, O is the centre of the circle and OYB is a straight line. ABY is an isosceles triangle. ∠XYA = 98° and ∠ABY = 42°. Find ∠XOY.
Q31
Open-ended
2 marks
Paper 2, ____. At a performance, there are 246 guests. There are 58 more women than men. What is the ratio of the number of women to the number of men?
Q32
Open-ended
2 marks
Paper 2, ____. Germaine had $8y at first. She bought 3 books at $y each. Then her mother gave her $6. Finally, she bought 3 pens and had no money left. What is the cost of each pen in terms of y?
Q33
Open-ended
2 marks
Paper 2, ____. Karen took 1/3 h to walk from her house to her office. Her average speed was 45 m/min. What was the distance between her house and her office? Express your answer in kilometres.
Q34
Open-ended
2 marks
Paper 2, ____. Claire has $241 more than Mary. 2/3 of Claire's money is equal to 3/4 of Mary's money. How much money do they have altogether?
Q35
Open-ended
2 marks
Paper 2, ____. Miss Pek bought a laptop at $1440.22 inclusive of 7% GST. Find the amount of the GST.
Q36
Open-ended
3 marks
Paper 2, ____. The number of chairs is two times as many as the number of tables in a ballroom. After 147 chairs and 147 tables are added into the ballroom, the ratio of the number of chairs to the number of tables is 7 : 5. How many tables are there in the end?
Q37
Open-ended
4 marks
Paper 2, ____. At a factory, the ratio of the number of bags to the total number of pouches and wallets produced in a day is 2 : 7. The ratio of the total number of bags and pouches to the number of wallets produced in a day is 5 : 1. Given that 3454 pouches are produced, what is the total number of items produced at the factory in a day?
Q38
Open-ended
3 marks
Paper 2, ____. A box can either contain 20 volleyballs or 15 basketballs. When the box is packed with 12 volleyballs and 2 basketballs, how many more basketballs can be packed into the box?
Q39
Open-ended
3 marks
🖼 Visual
Paper 2, ____. In rectangle PQRS below, triangles PSZ and ABC are identical. The area of triangle CYZ is 28 cm². PS = SZ = AB = BC. Find the area of the shaded parts.
Q40
Open-ended
3 marks
Paper 2, ____. Jane ran a total distance of 96 036 m during a two-day charity run. She ran 12% further on the 2nd day than on the 1st day. Find the distance that Jane had run on the 2nd day.
Q41
Open-ended
3 marks
Paper 2, ____. For the first 2/3 of the journey, Mr Lim drove at a speed of 80 km/h. For the remaining 30 km of the journey, he drove at a speed of 60 km/h. What was his average speed for the whole journey?
Q42
Structured
5 marks
🖼 Visual
Paper 2, ____. Study the patterns in the figures below. a) How many shaded boxes will there be in Figure 5? b) Which figure will have 48 unshaded boxes? c) What is the total number of boxes in Figure 15?
Q43
Open-ended
4 marks
Paper 2, ____. Some children were at a party. If 45 boys left the party, the ratio of the number of boys to the number of girls would become 5 : 3. If 38 girls left the party, the ratio of the number of boys to the number of girls would became 2 : 1. How many children were at the party?
Q44
Open-ended
4 marks
Paper 2, ____. Madam Koh paid $715 for some bowls and plates. She paid $533 more for the bowls than the plates. The number of bowls she bought was 4 times as many as the number of plates. Each plate cost $7. Find the number of bowls Madam Koh bought.
Q45
Open-ended
4 marks
🖼 Visual
Paper 2, ____. The diagram below shows the price of muffins of different sizes and flavours. Mrs Khoo bought an equal number of large blueberry and large chocolate muffins and only some small chocolate muffins for her son's birthday party. She bought 112 muffins altogether and paid $340 in total. What was the difference in the number of large chocolate muffins and small chocolate muffins Mrs Khoo bought?
Q46
Structured
5 marks
🖼 Visual
Paper 2, ____. The figure below is formed by a shaded circle Y, rectangle ABCD and square BEGH. AE and DZ are parallel to each other and Z is the centre of the circle in the square. The breadth of rectangle ABCD is 1/3 of its length. The area of square BEGH is 144 cm². Find the following. (a) Radius of circle Y (b) Total area of the unshaded parts in the figure. (Take π = 3.14)
Q47
Open-ended
4 marks
Paper 2, ____. Elaine had prepared 4573 butter and chocolate cookies altogether for a sale. At the end of the day, 50% of the butter cookies and 60% of the chocolate cookies were sold. She was left with 2032 cookies. How many chocolate cookies did Elaine prepare at first?
Q48
Structured
5 marks
Paper 2, ____. Box A has 128 apples more than Box B. Joel moved 25% of the apples from Box A to Box B. Then, he moved 1/8 of the apples in Box B to an empty Box C. In the end, Box C will have 149 apples less than the remaining apples in Box A. (a) Find the number of apples in Box C. (b) Find the number of apples in Box A at first.