Q1
MCQ
1 mark
Round 16 641 to the nearest hundred.
P6 Mathematics SA2 2017 — Catholic High
Source: Catholic High, 2017
This P6 Mathematics SA2 paper from Catholic High (2017) covers money, geometry and angles, measurement, patterns and algebra, percentage and area and perimeter 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
Which one of the following is the same as 3090 g?
Q3
MCQ
1 mark
🖼 Visual
Which one of the following is likely to be the height of a dining table top from the ground?
Q4
MCQ
1 mark
What is the value of 2 ones, 8 tenths and 14 hundredths?
Q5
MCQ
1 mark
Which one of the following has the same value as 7 ÷ 3/5 ?
Q6
MCQ
1 mark
Express 0.7% as a fraction.
Q7
MCQ
1 mark
🖼 Visual
Five landmarks A, B, C, D and E on a map are shown in the square grid below. Dennis is at landmark E. He faces west and turns 135° anti-clockwise. Which one of the following landmark is he now facing?
Q8
MCQ
1 mark
Wendy paid $280 for 3 similar shirts and 2 similar belts. The price of each belt is half the price of each shirt. What is the price of each belt?
Q9
MCQ
1 mark
Jane used a packet of flour to bake some muffins and cupcakes. After using 2/5 of the packet of flour for muffins and 210 g of flour for cupcakes, she had 150 g of flour left. What was the mass of flour used for the muffins?
Q10
MCQ
1 mark
🖼 Visual
The solid shown is formed using some unit cubes. How many unit cubes are used to form the solid?
Q11
MCQ
2 marks
The price of a Pego figure set was $20. Sally bought one such figure set and had to pay 7% GST on the price. How much did she pay for the Pego figure set?
Q12
MCQ
2 marks
🖼 Visual
A toy store sold 200 sets of brick games during a 4-day sale. The line graph shows the number of sets left unsold at the end of each day. What percentage of the brick games were sold at the end of Day 3?
Q13
MCQ
2 marks
John had thrice as many local stamps as foreign stamps. After giving away 59 local stamps and 11 foreign stamps, John had equal number of local and foreign stamps left. How many foreign stamps were there at first?
Q14
MCQ
2 marks
🖼 Visual
10 identical rectangular cards are placed in a straight line at equal distance from one card to the next card. How far apart is one rectangular card from the next one?
Q15
MCQ
2 marks
A box contained equal number of red and blue marbles. The blue marbles are repacked into 2 smaller bags in the ratio 5 : 7. The difference in the number of marbles between the two bags is 30 marbles. How many marbles were there in the box at first?
Q16
Open-ended
1 mark
Write one million, ten thousand and ninety in numerals.
Q17
Open-ended
1 mark
Find the value of 56 − (20 ÷ 5) × 3 + 1
Q18
Open-ended
1 mark
🖼 Visual
The number line below is marked at equal intervals. What is the value of X?
Q19
Open-ended
1 mark
Write down all the common factors of 30 and 36.
Q20
Open-ended
1 mark
🖼 Visual
Figure ABCDEF is made up of 2 identical squares ABEF and BCDE. What fraction of the figure is shaded? Give your answer in the simplest form.
Q21
Open-ended
1 mark
Find the value of 8m/3 − m when m = 6.
Q22
Open-ended
1 mark
🖼 Visual
The table shows the car park charges at a car park. First hour: $2.50. Every subsequent 1/2 hour or part thereof: $1.50. Mrs Lee parked in the car park from 8.45 a.m. to 11.00 a.m. on the same day. How much did she pay for the car park charges?
Q23
Open-ended
1 mark
🖼 Visual
In the figure, ABCD is a rectangle. AEF is a straight line. Find ∠BEF.
Q24
Open-ended
1 mark
🖼 Visual
In the square grid below, three straight lines are drawn. Draw three more straight lines to form a symmetric figure with XY as the line of symmetry.
Q25
Open-ended
1 mark
🖼 Visual
The figure below shows a rectangular garden of length 10 m and breadth 7 m with a footpath of 0.8 m wide. What is the area of the garden excluding the footpath?
Q26
Open-ended
2 marks
At a fruit stall, 3 mangoes cost as much as 2 papayas. Each papaya costs $0.70 more than a mango. What is the cost of a papaya?
Q27
Open-ended
2 marks
🖼 Visual
The figure below is made up of a quarter circle and an equilateral triangle. Find the perimeter of the figure. Give your answer in terms of π.
Q28
Open-ended
2 marks
🖼 Visual
A rectangular piece of paper BCEF is folded along the dotted line AD as shown below. Find ∠ADC.
Q29
Open-ended
2 marks
Some chicken nuggets were shared among a group of children. When each child tried taking 5 chicken nuggets, there were 12 chicken nuggets left over. When each child tried to take 8 chicken nuggets, they found that they needed 6 more nuggets. How many children were there in the group?
Q30
Structured
2 marks
🖼 Visual
A triangle LMN is drawn by joining dots on the square grid below with three straight lines. (a) Measure and write the size of ∠LMN. (b) In the same way, draw a right-angled triangle with the same area as triangle LMN and the same base LN.
Q31
Structured
2 marks
Paper 2, ____. A fish burger costs $1 less than a chicken burger. The total cost of 4 fish burgers is $x. (a) Express the cost of 20 fish burgers in terms of x. (b) Express the cost of a chicken burger in terms of x.
Q32
Open-ended
2 marks
Paper 2, ____. The average of 4 numbers is 27. When one of the numbers is removed, the sum of the remaining numbers is 72. What is the number that has been removed?
Q33
Structured
2 marks
🖼 Visual
Paper 2, ____. In the square grid below, AB is one side of a trapezium ABCD. (a) Draw and label BC that is equal in length as AB and perpendicular to AB. (b) Draw and label CD that is parallel to AB and twice the length of AB.
Q34
Open-ended
2 marks
Paper 2, ____. Maverick and Nathan completed a run with a total time of 23 minutes. Maverick was 5 minutes faster than Nathan. How long did Maverick take to complete the run?
Q35
Open-ended
2 marks
🖼 Visual
Paper 2, ____. The pattern in the box shows part of a tessellation. Extend the tessellation by drawing two more unit shapes in the space provided in the box.
Q36
Open-ended
3 marks
Paper 2, ____. The mass of a container with 50 identical cups is 1500 g. When 30 of the cups are removed, the mass of the container with the remaining cups is 660 g. What is the mass of each cup? [3]
Q37
Structured
3 marks
🖼 Visual
Paper 2, ____. The graph below shows the number of visitors who arrived in Singapore from 2010 to 2013. (a) What was the ratio of the number of visitors in 2011 to the number of visitors in 2012 to the number of visitors in 2013? (b) What was the percentage increase in the number of visitors who visited Singapore in 2013 compared to 2010? Give your answer correct to 2 decimal places.
Q38
Open-ended
3 marks
Paper 2, ____. Jack and Alison have a total of $352 at first. After Jack spent 2/3 of his money and Alison spent 3/5 of her money, they had equal amount of money left. How much money did Jack spend? [3]
Q39
Open-ended
3 marks
Paper 2, ____. The ratio of the volume of liquid in container A to the volume of liquid in container B was 5 : 2. When 112 ml of liquid from container A was poured into container B, the ratio of the volume of liquid in container A to the volume of liquid in container B became 1 : 2. What was the volume of liquid in container B in the end? [3]
Q40
Open-ended
3 marks
Paper 2, ____. 398 candies were given to some children at a festival. Each boy was given 5 candies and each girl was given 3 candies. There were 18 more girls than boys at the festival. How many children were there at the festival? [3]
Q41
Structured
4 marks
🖼 Visual
Paper 2, ____. In the figure, ABCG is a rhombus and ACDE is a parallelogram. ∠ABC = 74°, ∠FCE = 29° and ∠GAF = 10°. (a) Find ∠FAC. (b) Find ∠ECD.
Q42
Open-ended
4 marks
Paper 2, ____. Anne has 150 more stamps than Betty. After Anne sold 1/3 of her stamps and Betty sold 5/8 of her stamps, Anne has 191 more stamps than Betty. How many stamps do both girls have in total at first? [4]
Q43
Structured
4 marks
🖼 Visual
Paper 2, ____. Derek uses four identical rectangles to form the figure ABCD with a shaded square in the middle as shown below. Rectangle AMNP is one such rectangle. The perimeter of rectangle AMNP is 30 cm. The area of the shaded square is 81 cm². (a) Find the length of PN. (b) What is the area of figure ABCD?
Q44
Structured
4 marks
Paper 2, ____. After a discount of 25%, the price of a theme park ticket is $65.25. Senior citizens are given a further discount of $7. (a) What is the total amount of discount given to senior citizens for the ticket? (b) What is the percentage discount given to senior citizens for the ticket? Give your answer to the nearest whole number.
Q45
Open-ended
4 marks
Paper 2, ____. At the start of a birthday party, 5/7 of the children were boys and the rest were girls. During the party, some boys left and the remaining number of boys were 2/5 of the children. 32 boys then joined the party. The number of children was 10 more than the number of children at the start of the party. How many children were there at the start of the party? [4]
Q46
Structured
5 marks
🖼 Visual
Paper 2, ____. The figure below is formed by a rectangle and three circles A, B and C. The diameter of circle A is half that of circle B and the diameter of circle B is half that of circle C. Line XY is the line of symmetry of the figure. (a) What is the diameter of circle A? (b) Find the shaded area. Take π = 3.14
Q47
Structured
5 marks
Paper 2, ____. Candies were only sold in packets of 12. Each packet was sold at $5. Mrs Lim had $128 and bought as many packets of candies as possible. She re-packed them into 42 boxes. Some boxes contained 6 candies while the rest contained 8 candies. (a) How many candies did she buy? (b) How many boxes contained 6 candies?
Q48
Structured
5 marks
Paper 2, ____. Three boys Alan, Ben and Carl had the same number of coins. Alan and Ben each had a mix of twenty-cent and fifty-cent coins. Alan had 7 twenty-cent coins while Ben had 17 twenty-cent coins. Carl had only fifty-cent coins. (a) Of the three boys, who had the most money and who had the least? (b) What was the difference in the total value of Alan and Ben's coins? (c) Ben used all his fifty-cent coins to buy stationery. He then had $9.10 less than Carl. How many fifty-cent coins did Carl have?