Q1
MCQ
1 mark
A shop sold $413 098 of goods in June. Express this number to the nearest thousand.
P6 Mathematics SA1 2017 — Rosyth
Source: Rosyth, 2017
This P6 Mathematics SA1 paper from Rosyth (2017) covers measurement, money, area and perimeter, geometry and angles, fractions and ratio across 48 questions worth 101 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
MCQ
1 mark
What is the value of 20 ÷ 5000?
Q3
MCQ
1 mark
🖼 Visual
Felicia used black and white beads to make a chain as shown below. What fraction of the beads used are black?
Q4
MCQ
1 mark
Express 1 5/25 as a decimal.
Q5
MCQ
1 mark
There are 78 canned drinks in a carton. 24 are mango flavoured and the rest are lychee flavoured. What is the ratio of the mango flavoured drinks to the number of lychee flavoured drinks?
Q6
MCQ
1 mark
Nora had $30y. She bought a dress for $5y. She also bought a skirt that cost $2y more than the dress. How much had she left? Express your answer in terms of y.
Q7
MCQ
1 mark
Express 3 kg 30 g in g.
Q8
MCQ
1 mark
Adeline started reading at 10.50 am. She read for 2 hours 25 minutes. At what time did she stop reading?
Q9
MCQ
1 mark
🖼 Visual
In the figure, AB and CD are straight lines. Which of the following angles is equal to 130°?
Q10
MCQ
2 marks
🖼 Visual
The figure is made up of rectangle ABCD and triangle EBD. DC is 22 cm, AD is 10 cm and AE = AD. Find the area triangle EBD.
Q11
MCQ
2 marks
🖼 Visual
The figure below is a circle made up of 4 parts, A, B, C, and D. O is the centre of the circle. Part A has the same area as Part B. The ratio of the area of Part A to the area of Part C is 3 : 2. Which of the following fractions cannot be represented by the sum of at least two of the parts?
Q12
MCQ
2 marks
Carmen spent $60 of her allowance each month and saved the rest. When she increased her spending by 20%, her savings decreased by 25%. How much was Carmen's allowance?
Q13
MCQ
2 marks
🖼 Visual
The 2 solids below are made up of 1-cm cubes. How many 1-cm cubes are needed to be added to Figure A so that it has the same volume as Figure B?
Q14
MCQ
2 marks
🖼 Visual
In the figure, ABC and DEF are identical right-angled triangles which overlapped each other to form a square of side 2 cm. Find the area of the shaded part.
Q15
MCQ
2 marks
🖼 Visual
The figure below is made up of a big square with an area of 64 cm² and two identical smaller squares of area 36 cm² each. Find the perimeter of the figure.
Q16
Open-ended
1 mark
Write down all the common multiples of 6 and 8 that are smaller than 60.
Q17
Open-ended
1 mark
12 : 45 is the same as ____ : 30. The missing number in the blank is ____.
Q18
Open-ended
1 mark
The average of 4 numbers is 38. When one of the numbers is removed, the sum of the remaining numbers becomes 108. What is the number that was removed?
Q19
Open-ended
1 mark
Alicia had 4/5 kg of sugar in a container. She used 1/3 of the sugar to bake a cake. How much sugar was left in the container? Leave your answer as a fraction in the simplest form.
Q20
Open-ended
1 mark
Amina had 12 kg of sugar and Sally had 8 kg of sugar. After both girls used the same amount of sugar, Amina had 3 times as much sugar as Sally. How many kilogrammes of sugar had Sally left?
Q21
Open-ended
1 mark
🖼 Visual
The table below shows the parking charges at a carpark. Mr Wong parked his car from 3.30 p.m. to 5.15 p.m. How much did he have to pay?
Q22
Open-ended
1 mark
🖼 Visual
The figure is made up of a semicircle and a quadrant. Find the area of the figure. (Take π = 22/7)
Q23
Open-ended
1 mark
🖼 Visual
Find the value of ∠y.
Q24
Open-ended
1 mark
🖼 Visual
The container below is partially filled with water. How much more water is needed to fill the container completely?
Q25
Open-ended
1 mark
🖼 Visual
In the figure, ABC is an equilateral triangle and AC = CD. Find the value of ∠x.
Q26
Open-ended
2 marks
Chee Kong takes 2 hours to drive from Town A to Town B. He takes another 3 hours to drive from Town B to Town C. The distance between Town A and Town B is 90 km while the distance between Town B and Town C is 180 km. What is Chee Kong's average speed for the whole journey?
Q27
Open-ended
2 marks
Kelly spent $18 on some pens and markers. She bought 5 more pens than markers. Each marker cost $1.80 and each pen cost $1.20. How many markers did Kelly buy?
Q28
Open-ended
2 marks
There are 3 types of fruits in a box. The ratio of the number of apples to the number of pears is 3 : 5. The ratio of the number of oranges to the total number of apples and pears is 1 : 6. What fraction of the fruits in the box is pears? Leave your answer in the simplest form.
Q29
Open-ended
2 marks
🖼 Visual
The figure below is made up of 2 identical quadrants of radius 14 cm. Find the perimeter of the shaded part. (Take π = 22/7)
Q30
Open-ended
2 marks
🖼 Visual
In the figure below, ABCD is a parallelogram and BEFC is a rhombus. ∠ABC is 70°, ∠ACF is 170° and ∠BEF is 125°. Find ∠BAC.
Q31
Structured
2 marks
Debra and Giselle have some playing cards. After Giselle gives 21 playing cards to Debra, Debra has 40 more playing cards than Giselle. (a) Who had more playing cards at first? (b) How many more?
Q32
Open-ended
2 marks
Carol had some money. She spent 2/5 of it to buy a ring and 1/7 of it to buy a wallet. The ring and the wallet cost $136.80 altogether. How much money had she left?
Q33
Open-ended
2 marks
🖼 Visual
Vani mounted 2 similar-sized photographs with a space of 3 cm all around each photograph onto a frame as shown in the diagram. Find the area of the frame that is not covered by the 2 photographs.
Q34
Open-ended
2 marks
🖼 Visual
The rectangular tank shown below contains 16 ℓ of water. Find the height of the water level in the tank.
Q35
Structured
2 marks
🖼 Visual
In the square grid, two sides of a parallelogram ABCD have been drawn. Complete the drawing of the parallelogram ABCD. Label your drawing.
Q36
Structured
3 marks
🖼 Visual
A factory produced 60 000 cars over 7 days. The line graph shows the number of cars made in the factory over 6 days. (a) What is the ratio of the number of cars produced on the 4th day to the total number of cars produced over the seven days? Express your answer in the simplest form. (b) How many cars were made in the factory on day 7?
Q37
Open-ended
3 marks
🖼 Visual
The outline of the figure below is formed by 2 identical large quarter circles, 2 identical small quarter circles and 3 straight lines. The length of AB = BD. The length of AC is 42 cm. Find the area of the shaded figure. Use the calculator value of π and correct your answer to 2 decimal places.
Q38
Open-ended
3 marks
Deo has 840 green beads. Ian has 960 red beads. Deo places 70% of his green beads into a box. Ian also places 70% of his red beads into the same box. What percentage of the beads in the box are red? Express your answer correct to 2 decimal places.
Q39
Open-ended
3 marks
At first, Alynna had a total of 86 toy cars and toy dolls. She gave away 38 toy cars and increased the number of toy dolls by 25%. After that, Alynna had a total of 60 toy cars and toy dolls. How many toy dolls did she have at first?
Q40
Open-ended
3 marks
Shi Yao had a total of 868 red pens and blue pens. After selling an equal number of both types of pen, she had 1/4 of the red pens and 1/5 of the blue pens left. What was the total number of blue and red pens left?
Q41
Open-ended
3 marks
During the annual Prize Giving ceremony, the ratio of the number of gift cards to the number of cash vouchers the school prepared was 5 : 3. Each class received 4 gift cards and 5 cash vouchers. After all the classes had received their gift cards and cash vouchers, there were no more cash vouchers left but there were 78 gift cards left. How many cash vouchers were given out to all the classes?
Q42
Structured
4 marks
🖼 Visual
At first a tank was 1/5 filled with water. Two taps, A and B were used to fill up the tank. For the first 20 minutes, only tap A was turned on. The tank was half-filled with water after 20 minutes. (a) How many litres of water were added to the tank by tap A in the first 20 minute? (b) Tap B was also turned on after 20 minutes. The tank was completely filled with water from tap A and tap B 15 minutes later. How many litres of water flowed out from Tap B in 1 minute?
Q43
Structured
4 marks
🖼 Visual
The figure ABCD is a square. 4 straight lines BCF, BGE, CGH and EDF are drawn to complete the figure shown below. AED is an isosceles triangle and BG = BC. ∠CBG is 54°. (a) Find ∠ABG. (b) Find ∠CFD.
Q44
Structured
4 marks
Box A contains only red pens and Box B contains only blue pens. There were twice as many red pens as blue pens. 1/2 of the red pens were transferred into box B. At the same time, 2/3 of the blue pens were transferred into box A. (a) What fraction of the pens in box A after the transfer are red? (b) After the transfer, 8 blue pens and 5 red pens were moved from Box A to Box B. The 2 boxes then had the same number of pens. How many blue pens were there?
Q45
Structured
5 marks
Michelle and her classmates made identical paper stars to sell for charity. They made 4 paper stars from each piece of the coloured paper. 3 paper stars were damaged for every 16 pieces of coloured paper that were used. Each paper star that was not damaged was sold for 40 cents. They collected a total of $317.20. (a) How many paper stars were sold? (b) How many pieces of the coloured paper did they use altogether?
Q46
Structured
5 marks
Yilin bought a dress for $117 after a 35% discount. (a) What was the price of the dress before the discount? (b) Yilin paid $147.60 for a blouse. The total discount for the dress and the blouse was $95.40. What was the percentage discount given for the blouse?
Q47
Structured
5 marks
🖼 Visual
Bryan designed a computer game where the enemy ships appeared in a fixed pattern over time as shown below. (a) How many enemy ships will appear in the 5th second? (b) How many seconds after the game start would 124 enemy ships appear? (c) How many enemy ships will appear at the 1 minute mark?
Q48
Structured
5 marks
Mrs Teo bought 5 bags of rice and 5 bags of flour. 15 bags of rice weigh as much as 27 bags of flour. Each bag of rice weigh 2.6 kg more than each bag of flour. (a) What was the mass of each bag of rice? (b) What was the total mass of all the bags of rice and flour Mrs Teo bought?