Q1
MCQ
1 mark
Find the value of 28 + 4 x 6 - 32 ÷ 4.
P6 Mathematics SA1 2012 — Methodist Girls
Source: Methodist Girls, 2012
This P6 Mathematics SA1 paper from Methodist Girls (2012) covers measurement, percentage, area and perimeter, average, rate and speed, ratio and money 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.
Q1
Open-ended
2 marks
25% of a number is 70 less than 60% of the same number. What is the number?
Q2
Open-ended
2 marks
🖼 Visual
The figure shows 2 identical semi-circles with a diameter of 14 cm. Find the area of A. (Take π = 22/7)
Q2
MCQ
1 mark
Which of the following has the same value as 5.108 kg?
Q3
Structured
2 marks
🖼 Visual
This figure shows a solid. Complete the net of the solid by drawing in two of the missing shapes in the figure below.
Q3
MCQ
1 mark
Find the value of 2 x 10b − 9b ÷ 3 when b = 6.
Q4
MCQ
1 mark
🖼 Visual
The figure below is not drawn to scale. AB and CD are straight lines. ∠AOE = 65° and ∠COB = 110°. Find ∠DOE.
Q4
Open-ended
2 marks
🖼 Visual
In the figure below, not drawn to scale, PQR is an equilateral triangle and QRST is a square. Find ∠x.
Q5
MCQ
1 mark
🖼 Visual
ABCD is a trapezium. Which of the following statements is correct?
Q5
Open-ended
2 marks
Mui Lin and Azrina drove separately from the cinema to a shopping mall. Mui Lin travelled at an average speed of 80 km/h and arrived at the mall in 20 min. If Azrina drove at an average speed of 100 km/h, how long will she take to reach the shopping mall?
Q6
MCQ
1 mark
🖼 Visual
How many faces does the solid below have?
Q6
Open-ended
3 marks
Ming, Ali and Raj have 32 robots altogether. If Ming gives 3 of his robots to Ali and Raj, he would have 2 more than what Ali and Raj have together. How many robots does Ming have?
Q7
MCQ
1 mark
🖼 Visual
What is the reading indicated on the weighing scale below?
Q7
Structured
3 marks
Rachel has 4y sweets. Siti has two times as many sweets as Rachel and Tina has 10 more sweets than Siti. (a) How many sweets does Tina have? (b) They shared the sweets equally. How many sweets did Rachel get?
Q8
MCQ
1 mark
If a : b = 1 : 3 and b : c = 2 : 5, what is a : c?
Q8
Open-ended
4 marks
Kalli cycles to school every day. If he cycles at a speed of 11 km/h, he would reach school at 6.50 a.m. If he cycles at 9 km/h, he would reach school 20 minutes later. What should his average cycling speed be if he wants to arrive in school at 7.00 a.m? Give your answer correct to 1 decimal place.
Q9
MCQ
1 mark
60% of a number is 30. The number is ____.
Q9
Open-ended
4 marks
🖼 Visual
The figure below is made of 2 squares and a circle. The radius of the circle is 14 m. Find the total area of the shaded parts of the figure. Round off your answer to the nearest whole number. (Take π = 3.14)
Q10
MCQ
1 mark
A Formula 1 sports car can travel 300 km/h. How many metres can the car travel in 15 minutes?
Q10
Structured
3 marks
🖼 Visual
The figure below shows 4 identical circular buttons. Each button has a radius of 1.4 cm. (a) Find the perimeter of shaded part that is enclosed by the buttons. (b) Find the area of the shaded part. (Take π = 22/7)
Q11
Structured
4 marks
🖼 Visual
In the figure below, not drawn to scale, CDEFG is a polygon in which CD = DE = EF = FG = GC. (a) Find ∠y. (b) Find ∠z.
Q11
MCQ
2 marks
🖼 Visual
The figure below is made up of 2 semi-circles. Find the perimeter of the figure. (Take π = 3.14)
Q12
Structured
4 marks
Sarah and Elizabeth went to the shopping mall. Sarah bought 4 blouses at $12.10 each and some pens. Elizabeth bought 2.5 kg of biscuits at $1.50 per kg. (a) How much did they spend on the blouses and biscuits? (b) How much did they pay for the pens if they paid cashier $60 and received $4.85 change?
Q12
MCQ
2 marks
🖼 Visual
A piece of wire was bent to form the following figure. In the figure, there are 4 circles and a line AB. 4 cm of the wire was left over. Find the length of the wire. (Take π = 22/7)
Q13
MCQ
2 marks
Mrs Lee bought 3 kg of flour. She used 900 g of it. What fraction of the flour had she left?
Q13
Open-ended
4 marks
Mrs Tan baked 120 buns. 3/5 of the buns were chocolate buns. The rest were strawberry buns. She gave an equal number of chocolate buns and strawberry buns away and had 7 times as many chocolate buns as strawberry buns left. How many buns did she give away?
Q14
MCQ
2 marks
The ratio of Kimberly's mass to Jane's mass is 5:6. If Kimberly's mass is increased by 7 kg and Jane's mass is decreased by 1 kg, they will be of the same mass. What is Kimberly's mass?
Q14
Open-ended
3 marks
Audrey and Betty have some money. If Audrey spends $3, the ratio of the amount of money Audrey has to the amount of money Betty has is 2 : 5. If Betty spends $3, the ratio will become 8 : 13. How much money does Audrey have?
Q15
MCQ
2 marks
A shopkeeper usually buys his goods at a certain price. He usually sells them at 30% above the price he bought it for. During a sale, he gave a discount of $15 off the selling price. If he received $128, what was the original price of the goods?
Q15
Open-ended
3 marks
A swimming club has 30 girls and a number of boys. The number of boys increased by 15% to 46 and the number of girls decreased by 30%. What is the overall increase or decrease in the club's membership?
Q16
Open-ended
1 mark
Write 2 thousands, 260 tens, 16 tenths and 150 thousandths in numerals.
Q16
Structured
5 marks
In 2011, Mr. Tan's monthly salary was $2 200 for the first 8 months. His monthly salary was increased by 20% for the rest of the year. His total income for 2011 was 10% more than his total income in 2010. (a) Find his total income in 2011. (b) Find his total income in 2010.
Q17
Open-ended
5 marks
🖼 Visual
The figure is made up of 2 overlapping squares to form a third square, which is shaded. The ratio of the unshaded area of the smaller square to the unshaded area of the larger square is 3 : 7. The ratio of the shaded area to the total unshaded area is 1 : 50. Given that the shaded area is 4 cm², find the ratio of the perimeter of the smaller square to that of the larger square.
Q17
Open-ended
1 mark
Two consecutive even numbers add up to 570. Find the bigger number.
Q18
Open-ended
5 marks
Milly sat for a Mathematics quiz. There were a total of 35 questions. For each question she answered correctly, 3 points were awarded. For each question she answered wrongly, 2 points were deducted. For each question she left blank, 1 point was deducted. If Milly did not answer 5 questions and scored a total of 70 points, how many questions did Milly answer correctly?
Q18
Open-ended
1 mark
A car travelled 32 km at 96 km/h and another 20 km at 60 km/h. What was the average speed of the car for the whole journey?
Q19
Open-ended
1 mark
🖼 Visual
In the figure below, not drawn to scale, AD is a straight line and ∠ABC = 49°. Find ∠BCD.
Q20
Open-ended
1 mark
🖼 Visual
In the figure below, not drawn to scale, EFGH is a rhombus and ∠FEH = 125°. Find ∠HFG.
Q21
Open-ended
1 mark
Express 10 g as a ratio of 0.15 kg.
Q22
Open-ended
1 mark
Jimmy arranged 26 stickers on each page of his sticker album. If he had 789 stickers, how many pages of his sticker album did he use?
Q23
Open-ended
1 mark
🖼 Visual
Arrange the following fractions in descending order.
Q24
Open-ended
1 mark
Jarred has 440 marbles. For every 5 green marbles he has, there are 6 yellow marbles. How many yellow marbles does he have?
Q25
Open-ended
1 mark
Cathy saved 40% less than Diana. Diana saved 60% less than Eileen. Express Cathy's savings as a percentage of Eileen's savings.
Q26
Open-ended
2 marks
The mass of a bottle half-filled with water is 1.5 kg. The mass of the bottle when it is 1/6 - filled with water is 900 g. Find the mass of the bottle when it is 2/3 - filled with water.
Q27
Open-ended
2 marks
🖼 Visual
The diagram below shows the net of a die. Fill in the missing numbers on the die.
Q28
Open-ended
2 marks
8b x 3 = 72. Find the value of b.
Q29
Open-ended
2 marks
Mani walks 1 800 m to school every day. The journey takes 40 min. What is Mani's walking speed?
Q30
Open-ended
2 marks
🖼 Visual
In the figure, not drawn to scale, AB, DE and FG are parallel lines. ∠ACB = 38° and ∠AFG = 87°. Find the ∠CED.