Q1
MCQ
1 mark
Which digit in 9.876 is in the hundredths place?
P6 Mathematics SA1 2018 — Catholic High
Source: Catholic High, 2018
This P6 Mathematics SA1 paper from Catholic High (2018) covers measurement, area and perimeter, geometry and angles, money, 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.
Q2
MCQ
1 mark
Which of the following numbers is the smallest?
Q3
MCQ
1 mark
60 + 6/10 + 6/1000 = ____.
Q4
MCQ
1 mark
Find the value of 80 − 24 ÷ 4 + 2
Q5
MCQ
1 mark
🖼 Visual
Which of the following is likely the mass of a classroom chair?
Q6
MCQ
1 mark
234 092 people signed up for a charity run. Round the number to the nearest thousand.
Q7
MCQ
1 mark
Which one of the following is the same as 5 ÷ 2/3 ?
Q8
MCQ
1 mark
🖼 Visual
A sharpener is placed on a scale as shown. What is the length of the sharpener as shown on the scale?
Q9
MCQ
1 mark
🖼 Visual
What is the area of triangle ACE as shown in the figure?
Q10
MCQ
1 mark
🖼 Visual
The solid shown is formed using unit cubes. How many unit cubes are used to form the solid?
Q11
MCQ
2 marks
🖼 Visual
A triangle and a square are shown in the square grid below. Which of the following statement(s) is/are true? Statement A : ∠m is equal to ∠n. Statement B : The square has both parallel and perpendicular sides. Statement C : The triangle has a greater area than the square.
Q12
MCQ
2 marks
A bowl contains red, green and black beans. 1/9 of the beans are red. 1/4 of the remaining beans are green and the rest are black beans. What fraction of the beans in the bowl are black?
Q13
MCQ
2 marks
🖼 Visual
The shaded figure is a quarter circle of radius 8 cm. What is the perimeter of the shaded figure? Leave the answer in terms of π.
Q14
MCQ
2 marks
Red and white erasers are both placed in box A and box B. Box A has as many erasers as box B. The ratio of the number of red erasers to the number of white erasers in box A is 3 : 2 and in box B, it is 7 : 8. What is the ratio of the total number of red erasers to the total number of white erasers?
Q15
MCQ
2 marks
🖼 Visual
Four teams of hair stylists provide haircut services to raise funds for charity. For each haircut, customers with short hair are charged $20 and customers with long hair are charged $30. The table shows the number of haircuts completed by the various teams. Which of the four teams collected the most money for charity?
Q16
Open-ended
1 mark
Find the value of 7.03 x 80.
Q17
Open-ended
1 mark
1 million is ____ more than 600 999.
Q18
Open-ended
1 mark
Write down all the common factors of 12 and 16.
Q19
Open-ended
1 mark
The first 16 numbers of a number pattern are given below. 2 1 3 0 5 2 1 3 0 5 2 1 3 0 5 2 (1st ... 16th). What is the 76th number?
Q20
Open-ended
1 mark
Express 0.7% as a fraction.
Q21
Open-ended
2 marks
Gareth completed a race in 190 seconds. He was 25 seconds faster than Raja. How long did Raja take to complete the race? Leave your answer in minutes and seconds.
Q22
Open-ended
2 marks
The fifth multiple of a 1-digit number is 24 more than its second multiple. What is the seventh multiple of the 1-digit number?
Q23
Open-ended
2 marks
🖼 Visual
The airmail rates for a parcel to Hong Kong is shown below. (First 500 g: $12.00; Every additional 100 g: $2.50). Audrey sent a parcel weighing 650 g to Hong Kong. How much did she pay for the mail?
Q24
Open-ended
2 marks
🖼 Visual
Two cubes are glued together to form the solid below. All the faces of the solid are painted covering a total surface area of 160 cm². What is the volume of one cube?
Q25
Open-ended
2 marks
Peter was given a fixed monthly allowance. In January, he spent $160. He spent $200 in February. Find the percentage increase in his expenditure.
Q26
Open-ended
2 marks
At a café, Alan paid $9.50 for a Swiss roll and 2 curry puffs. Ben paid $18.50 for a Swiss roll and 8 curry puffs. What is the total cost of 3 curry puffs?
Q27
Open-ended
2 marks
A string is cut into three shorter pieces. The first piece is 6/7 the length of the second piece but 3 times as long as the third piece. Express the length of the longest piece of string as a fraction of the total length of all 3 pieces.
Q28
Open-ended
2 marks
🖼 Visual
Justus fills two types of bottles, small and large, completely with water. 27 ℓ of water is used to fill 12 small bottles and 2 large bottles. The total capacity of 2 large bottles is the same as the total capacity of 3 small bottles of water. What is the capacity of a large bottle of water? Leave your answer in litres.
Q29
Open-ended
2 marks
🖼 Visual
In the figure below, ABCF is a square, HBD is an equilateral triangle and BGF is a straight line. Find ∠BGD.
Q30
Open-ended
2 marks
🖼 Visual
The figure below is formed by two identical triangles, ABF and GDE, overlapping each other. The figure has an area of 96 cm². AGFE is a straight line. Find the area of the shaded triangle GCF.
Q31
Open-ended
2 marks
(Paper 2, ____) For every $5 saved by Ahmad, his father gave him $1. How much was saved by Ahmad if he had a total of $648 in his savings?
Q32
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) Look at the number line below. The number line is marked at equal intervals. What is the value of X? Leave the answer as a fraction.
Q33
Open-ended
2 marks
🖼 Visual
(Paper 2, ____) Mrs Lim uses the recipe below to make rose syrup milk drink. (Recipe makes 5 cups: 300 ml rose syrup, 200 ml evaporated milk, 1000 ml water.) She has 1½ ℓ of rose syrup, 900 ml of evaporated milk and 3 ℓ of water. What is the greatest number of cups of rose syrup milk drink she can make?
Q34
Open-ended
2 marks
(Paper 2, ____) A bakery had a number of buns for sale. After selling 150 in the morning and 5/7 of the remainder in the afternoon, he was left with 120 buns. How many buns were sold altogether?
Q35
Structured
2 marks
🖼 Visual
(Paper 2, ____) The figure below shows a triangle ABC drawn on a grid. (a) BCDE is a rectangle with an area twice that of the triangle ABC. Draw BCDE on the grid above. (b) Draw line CF on the grid such that it is perpendicular to line AC.
Q36
Structured
3 marks
(Paper 2, ____) Jack had a piece of rope 4/5 m long. She cut it into 3/10 m pieces. (a) How many 3/10 m pieces of rope were there at most? (b) What was the length of the piece of rope left over?
Q37
Structured
3 marks
🖼 Visual
(Paper 2, ____) The table below shows the number of books read by each pupil in a class of 30 pupils. One of the numbers in the table is covered by an ink blot. (Number of books read by each pupil: 0, y, [ink blot]; Number of pupils: 10, 14, 6.) The average number of books read by the pupils in the class is y. (a) Find the total number of books read by the class. (b) What is the number covered by the ink blot? Leave your answer in terms of y for (a) and (b).
Q38
Open-ended
3 marks
(Paper 2, ____) Mr Sim needs 220 pieces of string, each of length 30 cm, to tie parcels. String is sold in rolls of 20 m each. What is the least number of rolls of string that Mr Sim needs to buy?
Q39
Open-ended
3 marks
(Paper 2, ____) Mrs Tan took 25 minutes while Mrs Lee took 40 minutes to make the same number of dumplings. Mrs Tan made 12 more dumplings in one minute than Mrs Lee. How many dumplings did Mrs Lee make in one minute?
Q40
Open-ended
3 marks
🖼 Visual
(Paper 2, ____) The figure below is formed using 3 rhombuses and 3 equilateral triangles. The perimeter of the shaded rhombuses is 60 cm. What is the perimeter of the figure?
Q41
Structured
4 marks
🖼 Visual
(Paper 2, ____) Participants of a competition must obtain a certain score in the first round to qualify for the second round. The table shows the number of participants for each score in the first round. The lowest score is 0. There were 150 participants in the first round. (Score / Number of Participants: 0 → 18, 2 → 27, 4 → 39, 6 → 42, 8 or more → 24.) (a) 30% of the participants did not qualify for the second round. From the table, what was the lowest score of a participant who qualified for the second round? (b) What percentage of the participants obtained a score of '8 or more'? Draw the bar for the percentage of participants who obtained a score of '8 or more' in the graph above.
Q42
Open-ended
4 marks
🖼 Visual
(Paper 2, ____) In the figure, PQRU is a rhombus and PRST is a parallelogram. ∠TPR = 57° and ∠RUP = 32°. Find ∠SRQ.
Q43
Structured
4 marks
(Paper 2, ____) Cindy bought a musical box and a watch at a discount. 20% discount was given to the musical box and the total discount given for both items was $140. She paid a total of $600 and paid $120 more for the watch than the musical box. (a) How much did she pay for the musical box? (b) What was the percentage discount given for the watch? Round the answer to 1 decimal place.
Q44
Open-ended
4 marks
(Paper 2, ____) Alan was given a total of 208 game cards. He wanted more cards so he bought the same number of cards each day for the next 10 days. At the end of the fifth day, he had bought 5/23 of the total number of cards. How many game cards did he collect in the 5 days?
Q45
Open-ended
4 marks
(Paper 2, ____) The number of blue pens that Mrs Li had was 6/5 of the number of red pens. Her son took 52 red pens and 24 blue pens from her. After that, the number of red pens became 1/6 of the number of blue pens. How many blue pens did Mrs Li have in the end?
Q46
Structured
5 marks
🖼 Visual
(Paper 2, ____) In the figure below, rectangle ABCD overlaps a circle with AB passing through the centre of the circle and DC touching a point, S, on the circumference of the circle. The area of the shaded part is 1/3 of the area of the rectangle. (a) Find the length of CD. (b) Find the perimeter of the figure. Take π = 22/7.
Q47
Structured
5 marks
🖼 Visual
(Paper 2, ____) Sticks of the same length are used to form figures that follow a pattern. The first five figures are shown below. The table shows the number of sticks used for each figure and the number of squares formed in each figure. (Figure 1: 4 sticks, 1 square; Figure 2: 10 sticks, 3 squares; Figure 3: 13 sticks, 4 squares; Figure 4: 19 sticks, 6 squares; Figure 5: 22 sticks, 7 squares.) (a) Complete the table for Figure 6. (b) How many squares are there in Figure 50? (c) How many sticks are used in Figure 101?