Q1
Open-ended
2 marks
🖼 Visual
(Paper 2) The figure shows a semicircle and 2 quarter circles inside a square of side 30 cm. Find the area of the shaded part. (Take π = 3.14)
P6 Mathematics SA1 2018 — Henry Park
Source: Henry Park, 2018
This P6 Mathematics SA1 paper from Henry Park (2018) covers money, measurement, percentage, geometry and angles, ratio and area and perimeter across 47 questions worth 102 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
MCQ
1 mark
Find the value of 8 + 5 × 8 − 6 ÷ 2
Q2
Open-ended
2 marks
🖼 Visual
(Paper 2) The table below shows the number of 4 different coloured T-shirts sold by a shop in the month of March (Red: 82, Yellow: 117, Green: 65, Blue: ?). 30% of all the T-shirts sold were yellow. How many blue T-shirts were sold?
Q2
MCQ
1 mark
How many sixths are there in 3 2/3?
Q3
Open-ended
2 marks
🖼 Visual
(Paper 2) Tank P measures 20 cm by 10 cm by 60 cm. Joe poured 4 pails of water into tank P. Each pail contained 1.2 litres of water. How much more water would Joe need to fill tank P to the brim? Express your answer in litres.
Q3
MCQ
1 mark
Which of the following is the same as 5080 g?
Q4
Open-ended
2 marks
(Paper 2) Mrs Sim baked three kinds of buns: red bean, mushroom and cheese buns. After selling 2/3 of the red bean buns, 1/5 of the mushroom buns and 5/7 of the cheese buns, there was an equal number of buns of each kind left. What was the ratio of the number of red bean buns to mushroom buns to cheese buns Mrs Sim baked?
Q4
MCQ
1 mark
After donating 25% of his savings, Jack had $60 of his savings left. How much money did he have in his savings at first?
Q5
MCQ
1 mark
🖼 Visual
James received $150 from his father each month as pocket money. The graph shows the amount of pocket money he spent each month from March to June. In which month did James spend about half his pocket money?
Q5
Open-ended
2 marks
🖼 Visual
(Paper 2) Books in a library are grouped according to the following types: Adventure, Comics, Fantasy and Mystery. The bar graph shows the number of each type of books in the library. The bar that shows the number of Mystery books has not been drawn. 35% of all the books in the library are Fantasy books. In the graph above, draw the bar to show the number of Mystery books in the library.
Q6
MCQ
1 mark
🖼 Visual
What is the average amount of money that James spent in each month from March to May?
Q6
Open-ended
3 marks
(Paper 2) Jacky and Michelle made some bookmarks over two days. On Monday, Jacky made 18 more bookmarks than Michelle. On Tuesday, Jacky made another 25 bookmarks and Michelle made another 19. At the end of the two days, Jacky made 5/8 of the total number of bookmarks. How many bookmarks did Michelle make altogether?
Q7
Open-ended
3 marks
(Paper 2) Liz spent $68.50 on 3 bars of chocolate, 4 boxes of cookies and a bag of sweets. The cost of each bar of chocolate is 2/5 as much as each box of cookies. The bag of sweets cost $1.50 less than each bar of chocolate. What is the cost of the bag of sweets?
Q7
MCQ
1 mark
🖼 Visual
The figures below are drawn on a square grid. Which one of the following figures is an example of a rhombus?
Q8
MCQ
1 mark
🖼 Visual
In the figure below, PQRS is a trapezium and RT = RS. PQ is parallel to SR. Find ∠PQR.
Q8
Structured
3 marks
🖼 Visual
(Paper 2) In the grid below, two lines EF and FG have been drawn. (a) EF and FG are two sides of a parallelogram EFGH. Complete the drawing of the parallelogram EFGH. (b) GF also forms a side of a square GFKL. K and L are two dots in the grid. Complete the drawing of the square GFKL such that it does not overlap with parallelogram EFGH. (c) EF also forms one side of an isosceles triangle EFX in which EF = FX and ∠EFX is less than 90°. X is a dot in the grid. Complete the drawing of the triangle EFX such that it does not overlap with parallelogram EFGH.
Q9
MCQ
1 mark
There are 16 girls in a class of 36 pupils. What is the ratio of the number of girls to the number of boys?
Q9
Open-ended
3 marks
🖼 Visual
(Paper 2) Gabriel had a rectangular piece of paper as shown in Figure 1. The ratio of the length to the breadth of the paper was 3 : 2. He cut out 6 semicircles each of diameter 14 cm as shown in Figure 2. The breadth was now three times as long as the length of AB. Find the perimeter of the rectangular piece of paper in Figure 1. (Take π = 22/7)
Q10
Structured
4 marks
🖼 Visual
(Paper 2) In the figure below, ABCD is a parallelogram, EFCG is a square and CEB is a right-angled triangle. ∠GCD = 8° and ∠GAB = 78°. (a) Find ∠x. (b) Find ∠y.
Q10
MCQ
1 mark
🖼 Visual
What is the length of the crayon shown in the figure below?
Q11
Structured
3 marks
🖼 Visual
(Paper 2) The table below shows the number of tickets sold for a performance last week (Monday to Friday: 3m per day, Saturday: 6m + 25, Sunday: 4m − 7). (a) Express the total number of tickets sold last week in terms of m. Give your answer in the simplest form. (b) The average number of tickets sold each day last week was 174. Find the value of m.
Q11
MCQ
2 marks
Aaron, Tom and Xavier had $43.20 altogether. Aaron had 3 times as much money as Tom. Tom has twice as much money as Xavier. How much money did Tom have?
Q12
Structured
4 marks
(Paper 2) A supermarket prepared vouchers of three different values for a lucky draw. The value of each voucher was either $10, $20 or $50. There were half as many twenty-dollar vouchers as the total number of ten-dollar and fifty-dollar vouchers. The ratio of the number of ten-dollar to fifty-dollar vouchers was 5 : 3. The total value of all the vouchers prepared was $4760. (a) What is the ratio of the number of twenty-dollar to ten-dollar to fifty-dollar vouchers? (b) What was the total number of vouchers prepared?
Q12
MCQ
2 marks
🖼 Visual
Ahmad formed a solid made up of unit cubes as shown below. Bala used the same number of unit cubes as Ahmad to form another solid with the same side view. Which of the following is the solid that Bala formed?
Q13
Structured
5 marks
(Paper 2) On Monday, Jimmy paid $42.90 for 9 jars and some marbles at a shop. On Tuesday, he went to the same shop and paid $64.70 for 11 jars and some marbles. Each jar cost $1. He bought 66 more marbles on Tuesday than Monday. Jimmy packed all the marbles he bought into the 20 jars. Some jars contained 12 marbles while the rest contained 16. Given that the cost of each marble was the same, (a) how many marbles did Jimmy buy altogether? (b) how many jars contained 16 marbles?
Q13
MCQ
2 marks
🖼 Visual
The table below shows the amount of time Mary spent studying over 3 days (Mon: 4 hours, Tue: 6 hours, Wed: 2.5 hours). Which line graph best represents the information given in the table above?
Q14
MCQ
2 marks
🖼 Visual
A rectangular piece of paper was folded along the dotted line as shown below. Find ∠p.
Q14
Structured
5 marks
🖼 Visual
(Paper 2) The shaded figure below shows a rug. The outline of the rug is formed by semicircles and quarter circles, each of radius 7 cm. (a) Find the perimeter of the rug. (b) Find the area of the rug. (Take π = 22/7)
Q15
MCQ
2 marks
Jiale spent 5/8 of her money on a purse and 7 similar markers. The cost of each marker is 1/6 of her remaining money. The total cost of the 7 markers is $12 more than the cost of a purse. How much did Jiale have at first?
Q15
Open-ended
3 marks
🖼 Visual
(Paper 2) The figure shows a rectangular pond surrounded by a footpath. The width of the footpath is 1 m throughout. The footpath is fully covered by 488 square tiles of side 0.25 m each, following the pattern shown below. Each tile is in contact with those next to it. What is the perimeter of the pond?
Q16
Structured
4 marks
(Paper 2) A total of 481 teachers and principals attended a conference in an auditorium. At the end of the conference, 4/5 of the teachers and 3/4 of the principals left the auditorium. 26 more teachers than principals remained in the auditorium. (a) How many principals remained in the auditorium? (b) All the remaining teachers and principals were put into a number of groups. The number of remaining teachers were divided equally into the groups. The number of remaining principals were also divided equally into the groups. What was the greatest possible number of groups the teachers and the principals were put into?
Q16
Open-ended
1 mark
Find the value of 12.4 − 8.07
Q17
Structured
5 marks
(Paper 2) A school hall was decorated with 60 yellow and 60 blue balloons for a graduation ceremony. Mrs Lee bought more balloons to decorate the hall. 35% of the balloons she bought were yellow and the rest were blue balloons. After all the balloons were put up, the number of yellow and blue balloons was in the ratio 5 : 8. (a) How many yellow and blue balloons were there in the hall now? (b) Mrs Lee then bought some pink balloons and put them up in the hall. 20% of the balloons in the hall were pink. How many pink balloons did she buy?
Q17
Open-ended
1 mark
Express 2.93 metres in centimetres.
Q18
Open-ended
1 mark
🖼 Visual
In the figure below, ∠PRQ = 41°, ∠PQR = 64° and ∠SPQ = 32°. Find ∠RPS.
Q19
Open-ended
1 mark
🖼 Visual
In the figure below, ADC is an equilateral triangle. Find ∠DCB.
Q20
Open-ended
1 mark
Express 0.009 as a percentage.
Q21
Open-ended
2 marks
Joe had a ribbon 27 m long. He used 4/9 of the ribbon to tie a present. What was the length of the ribbon used to tie the present?
Q22
Open-ended
2 marks
🖼 Visual
What is the area of triangle ABC shown below?
Q23
Open-ended
2 marks
🖼 Visual
How much does Ali have to pay for the bag after adding 7% GST? (The bag price before GST is $50.)
Q24
Open-ended
2 marks
Find the value of 3w − 2w/5 + 6 when w = 5
Q25
Open-ended
2 marks
🖼 Visual
The line graph shows the number of students who were late for school from January to May. 5/7 of all the students who were late were girls. How many boys were late?
Q26
Structured
4 marks
🖼 Visual
Julia played a total of four games in a competition. The scores are shown below (1st: 33, 2nd: 23, 3rd: ?, 4th: 28). Her average score for the first three games was 24. (a) What was her score for the 3rd game? (b) What was the percentage increase in her score from the 3rd to the 4th game?
Q27
Open-ended
2 marks
🖼 Visual
The figures below show 3 concrete slabs. The total length of the 3 concrete slabs is 9.98 m. Find the length of concrete slab B.
Q28
Open-ended
2 marks
🖼 Visual
The figure below is formed using 4 rhombuses and 4 equilateral triangles. XY is a straight line measuring 9 cm. Find the perimeter of the figure.
Q29
Open-ended
2 marks
The ratio of the number of girls to the number of boys in a camp is 2 : 3. 65 girls left the camp and the ratio of the number of girls to the number of boys became 1 : 4. Find the total number of children at the camp at first.
Q30
Open-ended
2 marks
Charlie used 2/7 of his money to buy 4 packets of flour and 7 packets of sugar. The cost of 2 packets of flour was the same as that of 3 packets of sugar. What was the most number of packets of sugar that Charlie could buy with the money he had left?