Q1
Open-ended
2 marks
The total cost of a book and pen is $26. The cost of the pen is 1/4 the cost of the book. What is the cost of the book?
P6 Mathematics SA1 2021 — Methodist Girls
Source: Methodist Girls, 2021
This P6 Mathematics SA1 paper from Methodist Girls (2021) covers measurement, money, area and perimeter, patterns and algebra, percentage and geometry and angles across 47 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
MCQ
1 mark
____ × 20 = 500. What is the value of ____?
Q2
Open-ended
2 marks
Water drips from a tap at a rate of 6 ml per second into an empty bucket. How much water is collected in 1 hour? Give your answer in litres.
Q2
MCQ
1 mark
19.09 kg = ____ kg ____ g
Q3
Open-ended
2 marks
Mr Ahmad made soya bean drink using the recipe below. He used 1 kg of soya beans. How many grams of sugar did he use?
Q3
MCQ
1 mark
Round off 2.834 to 2 decimal places.
Q4
Structured
2 marks
(a) Draw a parallelogram ABCD in the grid below, such that AB = DC. Label your parallelogram clearly.
(b) What is the area of the parallelogram, ABCD?
Q4
MCQ
1 mark
Find the value of 4/7 - 1/3.
Q5
MCQ
1 mark
Arrange the following numbers from the smallest to the largest.
Q5
Open-ended
2 marks
The figure below shows a semicircle and 3 quarter circles. O is the centre of the 3 quarter circles. The diameter of the semicircle is 14 cm. Find the area of the figure. Use the calculator value of π and give your answer correct to 1 decimal place.
Q6
MCQ
1 mark
Which of the following would be the most likely mass of a laptop?
Q6
Open-ended
3 marks
The table below shows Amil's Mathematics marks for 2 tests. In which test did Amil do better in and by how many percent?
Q7
Structured
3 marks
In the grid below, draw triangle PQR, such that the area of triangle PQR is 9 cm².
Q7
MCQ
1 mark
In the diagram, AB and CD are straight lines. Which of the following statement is true?
Q8
MCQ
1 mark
Esther brought 7/9 of a pizza to school. She ate 3/5 of it. How much of the pizza had she eaten?
Q8
Open-ended
3 marks
The diagram below is made up of a semicircle and a triangle, OAB. The unshaded area, P, is 100 cm². Find the area of the shaded parts. (Take π = 3.14)
Q9
MCQ
1 mark
Siti made some lemonade drink by mixing the lemonade syrup with water in the ratio 1:3. She made 12 litres of the lemonade drink. How much water did she use?
Q9
Open-ended
3 marks
The average of 6 consecutive numbers is 152.5. What is 10 less than the smallest number?
Q10
Open-ended
3 marks
During a sale, a shop offered a 20% discount on all its mobile phones. Ming chose a phone which cost $160 less than its usual price due to the discount given. He had to pay an additional 7% GST on the discounted price. How much did Ming pay for the mobile phone in the end?
Q10
MCQ
1 mark
The figure is made up of a semicircle and a quarter circle of radius 7 cm. Find the perimeter of the figure. (Take π = 22/7)
Q11
Structured
4 marks
In the diagram below, CDE and FGH are straight lines. DG = GE. (a) Find ∠DCH. (b) Find ∠EGF.
Q11
MCQ
2 marks
The cost of a shirt was twice the cost of a pair of pants. The pair of pants cost $n. Mr Samad bought 3 pairs of pants and a shirt. He gave the cashier $100. Which of the following expressions shows the amount of change that Mr Samad received?
Q12
Structured
4 marks
The line graph below shows the number of bicycles sold from January to May. (a) What was the average number of bicycles sold per month? (b) The average number of bicycles sold from January to June was 34.5. What was the number of bicycles sold in June?
Q12
MCQ
2 marks
In the diagram below, ACD is an equilateral triangle. DCB is a straight line and BC = AC. Find ∠CAB.
Q13
Open-ended
4 marks
Arjun folded a circular piece of paper into half as shown in Figure 1. The resulting shape in Figure 2 has a perimeter of 36 cm. He then folded the figure further into halves twice, until he obtained Figure 4. Figure 4 has a perimeter of 19.5 cm. Find the circumference of the original circular sheet of paper as seen in Figure 1. (Take π = 22/7)
Q13
MCQ
2 marks
During a sale, the price of a blouse was sold at $40. This was 20% less than the usual selling price. What was the price of the blouse before the sale?
Q14
Structured
5 marks
The perimeter of a square is p cm. The side of the square is the same as the breadth of the rectangle, but it is 3 cm shorter than the length of the rectangle. (a) What is the length of the square? (Express your answer in terms of 'p') (b) What is the perimeter of the rectangle? (c) If p = 12, what is the area of the rectangle?
Q14
MCQ
2 marks
There were twice as many girls as boys in a Computer Club. After 15 girls left the club and 10 boys joined the club, there was an equal number of boys and girls in the club. How many girls and boys were there in the Computer Club at first?
Q15
MCQ
2 marks
Alice and Wei Ling shared the cost of a gift. Alice paid 2/5 of the cost of the gift and an additional $36. Wei Ling paid $54. How much did the gift cost?
Q15
Open-ended
4 marks
There were 2/5 as many boys as girls in a school hall at first. After 30 girls and 20 boys left the school hall, 25% of the pupils remaining in the school hall were boys. What was the total number of boys and girls in the school hall at first?
Q16
Open-ended
4 marks
Haslima had a sum of money. She spent $35 on a belt and 4/7 of the remainder on a pair of shoes. She was left with 1/3 of the original sum of the money. How much money did Haslima have at first?
Q16
Open-ended
1 mark
What is the length of the pencil?
Q17
Open-ended
1 mark
Find the value of 7/9 ÷ 3.
Q17
Open-ended
5 marks
John drew a cube of sides 15 cm. He then drew another cuboid by increasing the length and height of the cube by 20%. What was the percentage increase in the volume of the new cuboid that he had drawn?
Q18
Open-ended
1 mark
Express 3/5 % as a decimal.
Q19
Open-ended
1 mark
Mary baked m number of muffins in the morning. In the afternoon, she baked 58 muffins. She had 105 muffins in the end. How many muffins did she bake in the morning?
Q20
Open-ended
1 mark
In the diagram below, ∠g = ∠h. Find ∠g.
Q21
Open-ended
2 marks
The perimeter of the isosceles triangle shown below is 36 cm. What is the value of d?
Q22
Open-ended
2 marks
The ratio of Peter's money to John's money is 3:5. After Peter spent $24, the ratio of Peter's money to John's money is 3:7. How much money did Peter have at first?
Q23
Open-ended
2 marks
A repeated pattern is formed using the digits 1 and 3. The first 15 digits are shown below. What is the sum of the first 24 digits?
Q24
Open-ended
2 marks
Highlighters are sold in packets of 4. Each packet is sold at $8. Tom has $30. What is the maximum number of highlighters that he can buy?
Q25
Open-ended
2 marks
The ratio of the amount of money Siew Li had to the amount of money Rachel had was 3:4. Each of them bought a bag which cost $45. The ratio of the amount of money Siew Li had to the amount of money Rachel had in the end was 3:7. How much money did Rachel have at first?
Q26
Open-ended
2 marks
Ann saves 40% of her pocket money every month. When her pocket money increased by 20%, her savings also increased by $12. What was Ann's pocket money before the increase?
Q27
Open-ended
2 marks
The diagram below shows a pattern that is made up of identical squares and quadrants. Find the total shaded area. (Take π = 22/7)
Q28
Open-ended
2 marks
Mrs Seeto had some oranges, apples and mangoes in her fruit basket. 40% of the fruits in the basket were oranges. The number of apples was 2/3 the number of mangoes. What percentage of her fruits was mangoes?
Q29
Open-ended
2 marks
In the diagram below, AB is parallel to CD and XZ = YZ. Find ∠XYZ.
Q30
Structured
2 marks
Mrs Tan bought a 100 kg sack of flour at $150. She repacked the flour into smaller packets. The mass of each smaller packet was 3/5 kg. She sold all the smaller packets of flour at $2 each. Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a tick (✔) to indicate your answers.