P6 Mathematics SA2 2019 — Methodist Girls
Source: Methodist Girls, 2019
This P6 Mathematics SA2 paper from Methodist Girls (2019) covers measurement, money, geometry and angles, graphs and data, percentage and average, rate and speed across 47 questions worth 95 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
MCQ
1 mark
What does the digit 2 in 7.241 stand for?
Q2
MCQ
1 mark
What is the value of 91 000 ÷ 700?
Q3
MCQ
1 mark
Which of the following is the largest in value?
Q4
MCQ
1 mark
🖼 Visual
The figure below shows a cube. Which one of the following is not a net of the cube?
Q5
MCQ
1 mark
🖼 Visual
How many bowls of noodles were sold from Monday to Wednesday altogether?
Q6
MCQ
1 mark
🖼 Visual
Each figure below is made up of nine squares. Four squares in each figure are shaded. Which one of the following figures is symmetric?
Q7
MCQ
1 mark
🖼 Visual
AFD and CFE are straight lines. Find ∠CFD.
Q8
MCQ
1 mark
🖼 Visual
ABC is an isosceles triangle with AB = BC. ACD is a straight line and ∠ABC = 74°. Find ∠BCD.
Q9
MCQ
1 mark
🖼 Visual
In the diagram, J, K and L are three points on the ground. Point J is north of point K and ∠JKL is 315°. In what direction is point L from point K?
Q10
MCQ
1 mark
A typist can type 70 words in 2 minutes. At this rate, how many words can she type in 30 minutes?
Q11
MCQ
1 mark
A bank gives 2% interest per year. John deposits $2000 in the bank. How much interest will he receive at the end of one year?
Q12
MCQ
1 mark
Samy and Tom shared the total cost of a meal. Samy paid $12 more than 2/5 of the meal. Tom paid $18. How much did the meal cost?
Q13
MCQ
1 mark
Selvi is x years old. Her father is 5 times as old as Selvi and 6 years older than Selvi's mother. How old is Selvi's mother?
Q14
MCQ
1 mark
🖼 Visual
The figure below shows 9 identical cubes which are glued together to form a solid. The whole solid, including the base, is then painted red. How many cubes have three of their faces painted red?
Q15
MCQ
1 mark
🖼 Visual
Some pupils were surveyed on their favourite ice-cream flavours. The same number of pupils liked vanilla and chocolate. More pupils liked strawberry than cookies and cream. Which one of the following pie charts represents the distribution of pupils?
Q16
Open-ended
1 mark
Find the value of 0.14 × 60.
Q17
Open-ended
1 mark
Express 2.35 as a mixed number in the simplest form.
Q18
Open-ended
1 mark
Mary mixed 6 cups of water with 1 cup of syrup to make a drink. What fraction of the drink was made up of syrup?
Q19
Open-ended
1 mark
Edmund cycled for 50 minutes at a speed of 18 km/h. How far did he cycle?
Q20
Open-ended
1 mark
Find the value of 9f − 11f/2 when f = 4.
Q21
Structured
2 marks
🖼 Visual
The figure below shows a pyramid. Complete the net of the pyramid in the space provided in the box.
Q22
Structured
2 marks
🖼 Visual
A total of 150 boys and girls took part in an Art competition. 1/3 of the girls and 1/6 of the boys were prize-winners. The number of boys and girls were not the same. Each statement below is either true, false, or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column. (a) There were twice as many boys as girls who were prize winners. (b) 1/2 of the participants were prize winners.
Q23
Open-ended
2 marks
🖼 Visual
The bar graph shows the number of tourists in four different countries on a particular day. Which country has 3/4 as many tourists as Malaysia on that day?
Q24
Open-ended
2 marks
🖼 Visual
The table shows the number of hours spent on tuition by a group of 9 children in a day. What is their average number of hours spent on tuition each day? Give your answer in the simplest form.
Q25
Open-ended
2 marks
🖼 Visual
In the figure, ABCD is a square and EFGC is a rectangle. ∠BCE = 43°. Find ∠GCD.
Q26
Open-ended
2 marks
The ratio of Julia's money to Mani's money is 2 : 3. The ratio of Mani's money to Kee Lin's money is 4 : 5. Kee Lin has $30. Find the total sum of money the three girls have.
Q27
Open-ended
2 marks
🖼 Visual
In the figure, WXY and EFG are identical triangles. The total area of the shaded parts is 80 cm². Find the area of the unshaded part.
Q28
Open-ended
2 marks
🖼 Visual
The solid below is made up of 1-cm cubes. How many more cubes are needed to make a cube of sides 3 cm?
Q29
Open-ended
2 marks
Ali and Beng Huat had the same amount of money at first. After Ali spent $34, Beng Huat had thrice as much money as Ali. How much money did they have in total at first?
Q30
Open-ended
2 marks
🖼 Visual
The diagram is made up of a rectangle, triangle and a semicircle. E is the midpoint of the length of the rectangle. The length of the rectangle is 14 cm. Find the area of the shaded region. Take π = 22/7.
Q31
Open-ended
2 marks
(Paper 2, Question 1) For every $5 that Suzy saved, her father will contribute another $0.50 to her savings. Suzy's father contributed a total of $11. What was Suzy's total savings in the end?
Q32
Open-ended
2 marks
(Paper 2, Question 2) What is the greatest number of circles, of radius 6 cm, that can be cut from a vanguard sheet measuring 100 cm by 50 cm?
Q33
Structured
2 marks
(Paper 2, Question 3) A pencil case costs $4 more than a sharpener. The total cost of 3 such pencil cases is $p. (a) Express the cost of 15 such pencil cases in terms of p. (b) Express the cost of a sharpener in terms of p.
Q34
Structured
2 marks
🖼 Visual
(Paper 2, Question 4) The bar graph shows the number of bicycles sold by a shop from June to September. The shop sold a total of 164 bicycles. The number of bicycles sold in August is not shown in the graph. Draw the bar representing the number of bicycles sold in August.
Q35
Structured
2 marks
🖼 Visual
(Paper 2, Question 5) The solid below is made up of thirteen 1-cm cubes. Draw the front view and the side view of the solid on the grids below.
Q36
Structured
3 marks
🖼 Visual
(Paper 2, Question 6) A survey on the places of interest that the pupils in Primary 2 liked was carried out. The results of the survey are shown in the pie chart below. 1/6 of the pupils surveyed liked the Jurong Bird Park. The number of pupils who liked the Night Safari was the same as the number of pupils who liked the Jurong Bird Park. 30% of the pupils liked Universal Studios. (a) How many pupils took part in the survey? (b) How many pupils liked Gardens by the Bay?
Q37
Open-ended
4 marks
(Paper 2, Question 7) Betty and Cathy had 294 stickers altogether. Betty gave away 3/8 of her stickers and Cathy gave away 2/5 of her stickers. Both had same number of stickers left. How many stickers did Cathy give away?
Q38
Open-ended
3 marks
(Paper 2, Question 8) At 08 00, a lorry left Town A for Town B moving at a speed of 60 km/h. At 09 00, a car left Town A for Town B moving at a speed of 75 km/h. Both vehicles did not change their speeds throughout. What was the distance travelled by the car when it caught up with the lorry?
Q39
Open-ended
3 marks
(Paper 2, Question 9) A box of chicken wings is 15 kg heavier than a packet of nuggets. The total mass of 5 packets of nuggets and 6 boxes of chicken wings is 189 kg. What is the mass of a box of chicken wings?
Q40
Open-ended
3 marks
(Paper 2, Question 10) Shana has two rectangular boxes of difference sizes. The length, breadth and height of the larger box is twice those of the smaller box. She packed 16 identical cubes exactly into the smaller box. How many such cubes can be packed exactly into the larger box?
Q41
Structured
4 marks
🖼 Visual
(Paper 2, Question 11) In the figure, ABCD is a trapezium and ACF is an isosceles triangle. AED and CEF are straight lines. ∠AFC = 70°, ∠EAC = 20° and ∠ABC = 105°. (a) Find ∠BAC. (b) Find ∠AEC.
Q42
Structured
3 marks
🖼 Visual
(Paper 2, Question 12) A shop sells shorts in five different sizes. The table shows the number of shorts sold in January (XS = 84, S = 152, M = ?, L = 81, XL = 65). (a) 14% of the shorts sold were in size XS. How many of the shorts sold were in size M? (b) In February, there was a 20% decrease in the number of shorts sold in size XL. How many fewer XL shorts were sold in February?
Q43
Open-ended
4 marks
🖼 Visual
(Paper 2, Question 13) Tap A and Tap B can fill a tank at a rate of 3 ℓ per minute and 5 ℓ per minute respectively. At first, only Tap A was turned on. When the tank was 1/4-filled with water, Tap B was then turned on. Six minutes later, the tank was 7/8-filled with water. How much water was there in the tank just before Tap B was turned on?
Q44
Structured
4 marks
🖼 Visual
(Paper 2, Question 14) In the figure below, ABCD is a parallelogram. (a) Draw a line AE perpendicular to DC. (b) Measure ∠BCD. (c) Name the shape formed by figure ABCE. (d) Name a pair of parallel lines.
Q45
Structured
4 marks
🖼 Visual
(Paper 2, Question 15) The figure below is made up of a square, 2 identical quarter circles and a semicircle. The sides of the square measure 10 cm. Take π = 3.14. (a) Find the perimeter of the figure. (b) Find the area of the figure.
Q46
Structured
5 marks
(Paper 2, Question 16) In a singing competition, the ratio of male participants to female participants was 1 : 5 at first. After the first round of competition, 25% of the male participants and 60% of the female participants did not make it to the second round. In the second round, there were 15 more female participants than male participants. (a) What was the ratio of the number of female participants to the number of male participants in the second round? (b) How many more female than male participants were there at first?
Q47
Structured
5 marks
🖼 Visual
(Paper 2, Question 17) Mrs Lim bought an equal number of Brand X and Brand Y correction tapes. She spent $180 more on Brand Y correction tapes. Brand X is sold 3 for $8 and Brand Y is sold 4 for $14. (a) How many correction tapes did she buy altogether? (b) How much did she spend on the Brand X correction tapes?