Q1
MCQ
1 mark
Round off 60.384 to the nearest tenth.
P6 Mathematics SA2 2016 — Catholic High
Source: Catholic High, 2016
This P6 Mathematics SA2 paper from Catholic High (2016) covers measurement, money, patterns and algebra, percentage, area and perimeter and fractions 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.
Q1
Open-ended
2 marks
In an archery competition, 3 players scored an average of 57 points. The total score of the first and second players was 96. What was the score of the third player?
Q2
Open-ended
2 marks
Kelvin is 160 cm tall. Danny is y cm taller than Kelvin. Melvyn is 3 cm shorter than Danny. What is Melvyn's height? Give your answer in terms of y in the simplest form.
Q2
MCQ
1 mark
Which one of the following numbers is the smallest?
Q3
Open-ended
2 marks
🖼 Visual
The pie chart represents the number of participants for each type of sport. Floorball had twice as many participants as volleyball. What percentage of all the participants took part in floorball?
Q3
MCQ
1 mark
🖼 Visual
Which one of the following is most likely to be the height measured vertically from the floor to a ceiling fan in a classroom?
Q4
MCQ
1 mark
What is the value of 40 ÷ 4000?
Q4
Open-ended
2 marks
🖼 Visual
There were 36 more participants for soccer than basketball. What was the total number of participants for all the 4 sports?
Q5
MCQ
1 mark
🖼 Visual
In the figure, ABCD and BCEF are parallelograms. Which one of the following pairs of lines is parallel to each other?
Q5
Open-ended
2 marks
🖼 Visual
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.
Q6
Structured
3 marks
🖼 Visual
The bar graph below shows the number of tablets sold in 4 months. The bar that shows the number of tablets sold in September has not been drawn. The number of tablets sold in August was 1/3 of the total number of tablets sold in the 4 months. (a) What was the total number of tablets sold in the 4 months? (b) Draw the bar that shows the number of tablets sold in the month of September in the graph.
Q6
MCQ
1 mark
Express 1.6 as a percentage.
Q7
Open-ended
3 marks
At a sandwich shop, the price of a chicken sandwich was $5.60 and the price of a fish sandwich was $6.40. Mrs Wong bought 85 chicken and fish sandwiches and paid $496.80 for them. How many fish sandwiches did Mrs Wong buy?
Q7
MCQ
1 mark
🖼 Visual
The figure below shows a solid. Which one of the following is a net of the solid?
Q8
Open-ended
3 marks
Jim and Ken shared the total cost of a lunch. Jim paid $12 more than 3/7 of the cost of the lunch. Ken paid $24. How much did the lunch cost?
Q8
MCQ
1 mark
🖼 Visual
The figure below shows an 8-point compass. Wendy was facing north-west (NW) at first. She then made a 3/4 - turn in an anti-clockwise direction. Which direction is she facing now?
Q9
MCQ
1 mark
🖼 Visual
In the figure below, which angle is more than 180° and less than 270°?
Q9
Open-ended
3 marks
🖼 Visual
The figure shown below is made up of a square of sides 2 cm and 3 quarter circles of different radii. What is the perimeter of the shaded part of the figure? Give your answer in terms of π.
Q10
MCQ
1 mark
🖼 Visual
The clock below showed the time Ralph began revising for his test. He took 130 minutes to complete his revision. Which one of the following shows the time when he completed his revision?
Q10
Open-ended
3 marks
🖼 Visual
The figure ABRSOD shows two identical squares ABCD and BRST of sides 18 cm overlapping each other. O is half-way between CD and ST. What is the area of the figure ABRSOD?
Q11
Structured
4 marks
🖼 Visual
In the figure, ABCF is a rhombus and BCD is a right-angled triangle. EFC and AED are straight lines. ∠FAB = 68° and ∠DEF = 87°. (a) Find ∠BDC. (b) Find ∠EAF.
Q11
MCQ
2 marks
Which one of the following is nearest to 1?
Q12
Structured
4 marks
Peter bought a pair of sport shoes for $135 after a discount of 25%. (a) What was the price of the pair of sport shoes before discount? (b) He paid $44 for a basketball. The total discount for the pair of sport shoes and the basketball was $51. What was the percentage discount given for the basketball?
Q12
MCQ
2 marks
🖼 Visual
In the number line below, how much longer is JK than LM?
Q13
MCQ
2 marks
🖼 Visual
Pauline had only the following coins in her wallet. She took three coins from her wallet and dropped them into a donation box. Which one of the following could not be the amount donated?
Q13
Open-ended
4 marks
Eddie and Faizal started running from the same place in opposite directions along a straight path. Eddie ran at a speed of 145 m/min and Faizal ran at a speed that was 35 m/min slower than Eddie. Both ran for the same length of time and did not change their speeds throughout. At the end of the run, Eddie had ran a distance of 525 m more than Faizal. How far apart were Eddie and Faizal at the end of their run?
Q14
MCQ
2 marks
🖼 Visual
A piece of ribbon 45 cm long has identical (a small symbol) and (a larger symbol) printed on it. They are printed in a repeated pattern as shown below. The width of each (small symbol) is 1 cm long. How many (larger symbols) are there in the piece of ribbon?
Q14
Open-ended
4 marks
Mr Lee baked the same number of egg tarts, cheese tarts and fruit tarts. After 61 fruit tarts and some egg tarts and cheese tarts were eaten, there were altogether 85 tarts left. There were three times as many egg tarts as cheese tarts left. The number of fruit tarts left was 5 fewer than the number of cheese tarts left. How many egg tarts were eaten?
Q15
MCQ
2 marks
Mr Tan had some stamps. After giving away 48 of them on Monday and 2/9 of the remainder on Tuesday, he was left with 1/3 of his stamps. How many stamps did he give away?
Q15
Structured
5 marks
🖼 Visual
Tank A and Tank B were two rectangular tanks. The base area of Tank A was 1800 cm² while that of Tank B was 2400 cm². At first, Tank A contained water to a height of 25.5 cm and Tank B was empty as shown below. Then, water flowed from a tap into Tank B at a rate of 3 litres per minute for 12 minutes. (a) What was the volume of the water in Tank B at the end of the 12 minutes? (b) Some water was then transferred from Tank A to Tank B until the height of the water level was the same in both tanks. What was the new height of the water level in both tanks?
Q16
Open-ended
1 mark
Find the value of 3 ÷ 7. Give your answer correct to 2 decimal places.
Q16
Open-ended
4 marks
Alvin has some 10¢, 20¢ and 50¢ coins in a money box. The ratio of the number of 10¢ coins to that of 20¢ coins is 1 : 2. The ratio of the number of 50¢ coins to the total number of 10¢ and 20¢ coins is 3 : 4. The total value of the 50¢ coins is $16.40 more than the total value of the 10¢ coins. How much money does Alvin have in his money box?
Q17
Open-ended
5 marks
A tin box filled with 50 identical glass marbles weighs 1.1 kg. The same tin box when filled with 20 identical steel marbles weighs 1.3 kg. The mass of each glass marble is 39.7 g less than that of a steel marble. What is the mass of an empty tin box?
Q17
Open-ended
1 mark
Write down the common factors of 12 and 28.
Q18
Open-ended
5 marks
Thomas spent 2/3 of his money on 3 books and 7 pens. The cost of each book is 3 times the cost of each pen. He bought some more pens with 1/4 of his remaining money and had $45 left. How much did Thomas spend on the pens altogether?
Q18
Open-ended
1 mark
Find the value of 0.37 × 80.
Q19
Open-ended
1 mark
There are 60 bananas. 24 of them are ripe while the rest are rotten. What is the ratio of the number of rotten bananas to the number of ripe bananas? Give your answer in the simplest form.
Q20
Open-ended
1 mark
Mrs Tan bought 6 kg of rice. She cooked 200g of rice each day. How many days did the rice last?
Q21
Open-ended
1 mark
🖼 Visual
In the figure below, AB and CD are straight lines. Find ∠p.
Q22
Open-ended
1 mark
Find the value of 5/6 ÷ 10. Give your answer as a fraction in the simplest form.
Q23
Open-ended
1 mark
The total cost of a cupcake and a pie is $8.50. The cost of the cupcake is 2/3 the cost of the pie. What is the cost of the cupcake?
Q24
Open-ended
1 mark
At a supermarket, a customer is given 5 packets of tissue paper free for every $20 spent. Anne spent $66 at the supermarket. How many packets of tissue paper would she get?
Q25
Open-ended
1 mark
Last year, Ravi's mass was 50 kg. This year, his mass increases by 20%. What is his mass this year?
Q26
Open-ended
2 marks
Find the value of 8m/3 − 5 + m when m = 6.
Q27
Open-ended
2 marks
Andy had 28 more stamps than Bradley at first. Bradley gave 12 of his stamps to Andy. Andy now has 3 times as many stamps as Bradley. How many stamps did Bradley have at first?
Q28
Open-ended
2 marks
🖼 Visual
The figure shows a rectangular glass box partly filled with unit cubes. How many more unit cubes are needed to completely fill the box?
Q29
Open-ended
2 marks
A bag can contain 24 apples or 36 oranges at most. 27 oranges and some apples are put into one such bag. What is the greatest possible number of apples in the bag?
Q30
Open-ended
2 marks
🖼 Visual
Figure 1 is a square made up of four identical shapes as shown in Figure 2. What is the area of the shape in Figure 2?