Q1
MCQ
1 mark
3 ones, 6 tenths and 7 thousandths is ____________.
P6 Mathematics SA2 2018 — Catholic High
Source: Catholic High, 2018
This P6 Mathematics SA2 paper from Catholic High (2018) covers geometry and angles, money, measurement, area and perimeter, patterns and algebra and fractions 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
Open-ended
2 marks
🖼 Visual
The table below shows the prices of ice pops sold at a shop. First 5 ice pops: 30¢ each. Every additional ice pop: 25¢ each. Halim paid $3.50 for some ice pops. How many ice pops did Halim buy?
Q2
Structured
2 marks
🖼 Visual
The nets drawn for the solids below are incorrect. For each net, shade the two parts that overlap each other when each net is folded.
Q2
MCQ
1 mark
What is the value of 10 ÷ 5000?
Q3
Structured
2 marks
🖼 Visual
A, B, C, D, F, G and H are points on the square grid. (a) Which direction is point G from point H? (b) Gabriel is at one of the points shown on the square grid. He is facing point B. When he makes a 1/4-turn in a clockwise direction, he faces point C. Which point is he at?
Q3
MCQ
1 mark
🖼 Visual
A wire is bent to form the figure below. Which angles are larger than a right angle?
Q4
MCQ
1 mark
🖼 Visual
Ming bought a packet of chocolate drink from the school canteen. Which one of the following is likely to be the volume of chocolate drink in the packet?
Q4
Open-ended
2 marks
Jane bought some sweets. She could pack the sweets into bags of 6 or 9 with no remainder. When the sweets were put into bags of 10, there were 4 sweets left over. What was the smallest possible number of sweets Jane bought?
Q5
MCQ
1 mark
There are 32 apples in a carton. 24 of them are green while the rest are red. What is the ratio of the number of red apples to that of green apples in the carton?
Q5
Open-ended
2 marks
A group of 5 friends rented a badminton court and took turns to play badminton. At any time, there were 4 people playing badminton on the court. Each person got to play for a total of 96 min. How long did the group of friends rent the badminton court for?
Q6
MCQ
1 mark
Which one of the following is smaller than 3/8 ?
Q6
Structured
3 marks
🖼 Visual
The following figure ABCD is a rectangle. AB = (k + 3) cm and BC = k cm. (a) What is the perimeter of rectangle ABCD? Express your answer in terms of k in the simplest form. (b) The perimeter of the rectangle is 20 cm. What is the length of AB?
Q7
MCQ
1 mark
🖼 Visual
In the figure below, ABCE is a rectangle with AB = 10 cm and BC = 4 cm. ED = 3 cm and AD = 5 cm. Find the area of the shaded triangle.
Q7
Open-ended
3 marks
🖼 Visual
Ted prepared a pot of coffee to fill 5 cups completely without any remainder. Brad made a similar pot of coffee to fill 3 mugs completely without any remainder. 1 such mug could hold 130 ml of coffee more than a cup. How much coffee can 1 such pot hold?
Q8
MCQ
1 mark
120 girls and 80 boys went to a camp. What percentage of the children were girls?
Q8
Open-ended
3 marks
At 9 a.m., Edison started running from point A towards point B at a speed of 120 m/min. At 9.05 a.m., Jun Wei started running from point A towards point B and passed Edison at 9.20 a.m. Both boys did not change their speeds throughout. At what speed did Jun Wei run?
Q9
MCQ
1 mark
Justin has the same number of twenty-cent coins and fifty-cent coins. Their total value is $42. How many coins does Justin have altogether?
Q9
Open-ended
3 marks
🖼 Visual
Guthrie's younger brother accidentally doodled on her results slip with a black marker as shown below. Part of her Mathematics and Science marks could not be seen. English 78, Mathematics 8_, Science 6_. Her average score for the three subjects was 76 marks. What was the greatest possible difference in marks between her score for Mathematics and Science?
Q10
MCQ
1 mark
🖼 Visual
The following solid consists of 5 identical cubes. Which one of the following shows the top view of the solid?
Q10
Open-ended
3 marks
Lucian and Jie Ming had the same number of game cards. After Jie Ming lost 16% of his game cards to Lucian, Jie Ming had 48 cards fewer than Lucian. How many game cards did Lucian and Jie Ming have altogether?
Q11
Structured
4 marks
🖼 Visual
The figure below shows a rhombus, ABCD drawn on a square grid. (a) CDEF is a trapezium with only 1 pair of parallel sides. It has the same area as rhombus ABCD. Draw CDEF on the grid above such that it does not overlap rhombus ABCD. (b) ADXY is a square. Draw ADXY on the grid above such that it does not overlap rhombus ABCD. (c) What fraction of the area of square ADXY is the area of rhombus ABCD? Express your answer in the simplest form.
Q11
MCQ
2 marks
A pair of shoes was sold at a discount of 20%. Its original price before discount was $85. What was the price of the pair of shoes after discount?
Q12
Structured
4 marks
🖼 Visual
Suresh started a savings plan by putting money into a money box from January to April. There was no money in the money box at first. The line graph shows the amount of money in the money box at the end of each month. The amount of money Suresh put into the money box in each month can be represented by the pie chart below. (a) Label each part of the pie chart with the month that represents the amount of money Suresh put into the money box in that month. (b) Find the percentage increase in the amount of money Suresh put into the money box from January to February.
Q12
MCQ
2 marks
🖼 Visual
An isosceles triangle is made up of four triangles P, Q, R and S. XZ = XY. The line XW divides the isosceles triangle into 2 equal parts. The ratio of area P to area Q is 2 : 3 and the ratio of area Q to area R is 4 : 1. What fraction of the area of the isosceles triangle is area S?
Q13
MCQ
2 marks
Ali had some money to buy stickers from a stationery shop. He wanted to buy 12 stickers but was short of $2. He bought 3 stickers and had a remainder of $2.50. How much money did Ali have at first?
Q13
Structured
4 marks
Mr Lee bought some fruits. 1/3 of the fruits were apples, 1/8 of the remainder were pears and the rest were oranges. (a) What was the ratio of the number of apples to the number of pears to the number of oranges? (b) Mr Lee's neighbour gave him another 36 oranges. The ratio of the total number of oranges he had at the end to the total number of fruits he bought was 4 : 3. How many fruits did Mr Lee buy?
Q14
MCQ
2 marks
🖼 Visual
Two figures S and T are shown in the square grid below. Based on what is shown in the square grid, which of the following statement(s) is/are true? Statement A : ∠NLM = ∠XYZ. Statement B : Both figures S and T are identical isosceles triangles. Statement C : Line LN is parallel to line XZ.
Q14
Structured
4 marks
🖼 Visual
Ling cut a quarter circle from a square piece of paper as shown below. O is the centre of the square paper. The perimeter of the cut quarter circle is 50 cm. The perimeter of the remaining piece of the square paper is 134 cm. (a) Find the radius of the cut quarter circle. (b) Find the area of the remaining piece of the square paper. (Take π = 22/7)
Q15
MCQ
2 marks
🖼 Visual
Polly threads circular beads on a string 91 cm long in a straight line. The beads follow a repeated pattern without gaps between them as shown below. Each bead has a radius of 0.5 cm and is black, white, grey or striped. The first bead and the last bead are positioned 15 cm from the respective ends of the string. What is the colour of the last bead?
Q15
Structured
4 marks
The pupils at a camp are divided equally into Team A and Team B. In Team A, there are 18 more boys than girls. In Team B, there are 8 more girls than boys. (a) How many more boys are there in Team A than in Team B? (b) There are 37 boys at the camp. How many girls are there at the camp?
Q16
Open-ended
1 mark
Find the value of 2 − 2/3 − 3/5
Q16
Structured
5 marks
🖼 Visual
James painted all the faces of rectangular block W before it was cut along the dotted lines into smaller blocks X, Y and Z of equal height as shown below. (a) Of the three smaller rectangular blocks X, Y and Z, which block had the most volume and which block had the least volume? (b) The total length of all the edges of block Y was 56 cm. What was the height of each block? (c) Find the total area of the unpainted faces of blocks X, Y and Z.
Q17
Structured
5 marks
🖼 Visual
Ganesh has a piece of paper in the shape of a parallelogram ABCD with ∠AFE = 74°. He folded the paper along the line EF as shown below. BF = BG. (a) Find ∠FBG. (b) Find ∠CHD.
Q17
Open-ended
1 mark
Find the value of 40.4 x 50.
Q18
Open-ended
1 mark
A ruler cost twice as much as an eraser. The cost of two rulers and an eraser was $7. What was the cost of an eraser?
Q19
Open-ended
1 mark
Rani gave 1/8 of a bar of chocolate to a friend. She broke the remainder equally into 14 pieces. What fraction of the bar of chocolate was 1 such piece? Give your answer as a fraction in the simplest form.
Q20
Structured
1 mark
🖼 Visual
Complete the symmetric figure below with PQ as the line of symmetry.
Q21
Open-ended
2 marks
Muthu completed his game at 4.10 p.m. He played the game for 1 hour and 45 minutes. What time did Muthu start his game? Give your answer in 24-hour clock format.
Q22
Open-ended
2 marks
What is the value of 17p/3 − 4p + 1 when p = 6?
Q23
Structured
2 marks
🖼 Visual
(a) On the figure below, draw a line UT such that UT is perpendicular to ST. (b) Measure and write down the size of ∠RST.
Q24
Open-ended
2 marks
🖼 Visual
In the figure, ABCD is a rectangle and BEF is a right-angled triangle. ∠FBC = 300° and ∠ABE = 80°. Find ∠BEF.
Q25
Open-ended
2 marks
🖼 Visual
The figure below is made up of two semicircles. O is the centre of the larger semicircle of radius 8 cm. Find the perimeter of the figure. Leave your answer in terms of π.
Q26
Open-ended
2 marks
John packs his clothes into a box and it weighs 11 kg. His mother packs her clothes into an identical box and it weighs 29 kg. His mother's clothes weigh thrice as much as John's clothes. What is the mass of the box?
Q27
Open-ended
2 marks
Mrs Lim bought some almonds and pistachios. She used an equal amount of almonds and pistachios. She had 1/3 of the almonds and 4/7 of the pistachios left. What was the ratio of the nuts used by Mrs Lim to the nuts that were left?
Q28
Open-ended
2 marks
🖼 Visual
A stationery shop had the following promotion. Pencils: 4 for $3. Highlighter Pens: 5 for $6. How many pencils cost as much as 20 highlighter pens?
Q29
Open-ended
2 marks
🖼 Visual
A row of seedlings was planted in a rectangular pot that was 4.5 m long. Each seedling was planted 30 cm away from the edges of the pot and at 30 cm apart from each other. How many seedlings were planted in the pot?
Q30
Structured
2 marks
🖼 Visual
Farm Y has only ducks and cows. There is a total of 20 ducks and cows on the farm. These animals have a total of 56 legs. Statement (a) and (b) are either true, false or not possible to tell from the information given above. For statement (a) and (b), put a tick (✓) in the correct column. (a) The total number of legs the cows have is equal to the total number of legs the ducks have. (b) There are more ducks than cows on the farm.