Q1
MCQ
1 mark
Which one of the following numbers has the digit 5 in the ten thousands place?
P6 Mathematics SA2 2016 — Nanyang
Source: Nanyang, 2016
This P6 Mathematics SA2 paper from Nanyang (2016) covers measurement, geometry and angles, money, area and perimeter, average, rate and speed and ratio 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
🖼 Visual
(Paper 2) Fill in the boxes with +, −, × and/or ÷ to make the number statement true. Use each operation only once. 45 ☐ 3 ☐ (5 ☐ 2) = 24
Q2
Open-ended
2 marks
🖼 Visual
(Paper 2) Find the perimeter of the figure below.
Q2
MCQ
1 mark
🖼 Visual
In the number line below, which point, A, B, C or D, represents the number 245?
Q3
Open-ended
2 marks
(Paper 2) In the year 2014, the cost of a television was $750. In the year 2015, the cost of the same television was $600. What was the percentage decrease in the price of the television from 2014 to 2015?
Q3
MCQ
1 mark
What is the lowest common multiple of 4 and 8?
Q4
MCQ
1 mark
Express 2 tens and 32 thousandths as a decimal.
Q4
Open-ended
2 marks
🖼 Visual
(Paper 2) The figure below shows a box that can be completely filled with two hundred 2-cm cubes. What is the breadth of the cuboid?
Q5
MCQ
1 mark
The cost of 4 similar books is $12.80. What is the cost of 2 such books?
Q5
Open-ended
2 marks
(Paper 2) Timothy wrote the numbers 3, 7, 19, 29 and 43 on a board. He then erased one of the numbers and calculated the average of the remaining numbers. The average of the remaining numbers was a whole number. Which one of the above numbers did Timothy erase?
Q6
Open-ended
3 marks
(Paper 2) In a camp, there were 280 more boys than girls. 30% of the participants were girls. How many boys were there in the camp?
Q6
MCQ
1 mark
What is the difference in volume between a 2-cm cube and a 3-cm cube?
Q7
Structured
3 marks
🖼 Visual
(Paper 2) Study the pattern below and answer the following questions. Pattern: … ◇ ○ Σ Δ © ◇ ○ Σ Δ © ◇ ○ Σ Δ © ◇ ○ … Position: …10… …18… (a) What is the symbol in Position 1? Draw the symbol. (b) What is the symbol in Position 153? Draw the symbol.
Q7
MCQ
1 mark
🖼 Visual
In the figure below, ABC is a straight line. ∠ABD is twice the size of ∠DBE and ∠EBC = 120°. Find ∠DBE.
Q8
Structured
4 marks
🖼 Visual
(Paper 2) Mrs Tan bought some pink, yellow, red, blue and green balloons for a party. The chart below shows the number of balloons of each colour. (a) How many balloons did Mrs Tan buy altogether? (b) Each blue balloon cost $0.10 more than each yellow balloon. Mrs Tan spent a total amount of $10.50 on blue balloons and yellow balloons. Find the cost of each blue balloon.
Q8
MCQ
1 mark
🖼 Visual
The figures below show 2 nets of the same cube. Which one of the shapes given below is represented by the letter A in the net?
Q9
MCQ
1 mark
Liyan is 10 kg heavier than Kenny. Their total mass is 60 kg. Find the ratio of Kenny's mass to Liyan's mass.
Q9
Open-ended
4 marks
🖼 Visual
(Paper 2) The figure below is made up of 2 squares of different lengths and 1 rectangle. Find the area of the shaded part.
Q10
MCQ
1 mark
Min Ho deposited $20 000 into a bank at the beginning of the year. The annual interest for depositing money into the bank was 5%. How much did Min Ho have in the bank at the end of the year if he did not take out any money from the bank?
Q10
Open-ended
3 marks
🖼 Visual
(Paper 2) The figure below is made up of a right-angled isosceles triangle ABC, a square and a circle. The area of triangle ABC is 18 cm². The diameter of the circle is the same as the side of the square. Find the area of the circle. Leave your answer in terms of π.
Q11
Open-ended
4 marks
🖼 Visual
(Paper 2) John had a container measuring 35 cm by 20 cm by 25 cm. He placed a solid made of 4 identical 5-cm cubes in the tank and then filled the tank completely with water as shown in the figure below. He then poured out 11387.5 ml of water. What was the height of the water in the tank in the end?
Q11
MCQ
2 marks
Yu Na took 2 hours and 30 minutes to finish her homework. She took 1 hour to finish her Science homework, 1/3 of the remaining time on English homework and the rest of the time on Math homework. How much time did she take to finish her Math homework?
Q12
Open-ended
4 marks
🖼 Visual
(Paper 2) In the figure below, ABCD is a rhombus. DEB is a straight line and DA = DE. ∠AED is 39° more than ∠ADE. Find ∠DCB.
Q12
MCQ
2 marks
A container measuring 50 cm by 60 cm by 20 cm is half-filled with water. What is the volume of the water in the container?
Q13
MCQ
2 marks
🖼 Visual
A group of 8 students stood around a circle, dividing its circumference into 8 equal parts. Kerry stood facing Daisy at first. Then, Kerry made a 90° anticlockwise turn, followed by a 135° clockwise turn. Who did Kerry face in the end?
Q13
Open-ended
5 marks
(Paper 2) Si Jin had 6/5 as many beads as Aminah. Si Jin gave 3/10 of his beads to Aminah. Aminah then gave 1/2 of her beads to Si Jin. In the end, Si Jin had 252 more beads than Aminah. How many beads did Si Jin have at first?
Q14
MCQ
2 marks
🖼 Visual
The pie chart below shows the different types of fruits sold at a fruit store. 40% of them are peaches and figs. What percentage of the fruits are melons?
Q14
Structured
4 marks
(Paper 2) Study the following number pattern. 11, 13, 15, 17, 19, 31, 33, 35, … … 97, 99. The pattern above consists of only 2-digit whole numbers. Both the digits in the ones and tens place in these 2-digit numbers are odd numbers. (a) How many numbers are there altogether? (b) Find the sum of all the numbers in the pattern.
Q15
MCQ
2 marks
Shirley had (18y + 10) metres of cloth. She made 2 identical dresses using 5y metres each. How much cloth did Shirley have left?
Q15
Open-ended
3 marks
(Paper 2) At 8 a.m., Mingwei started travelling from Town A to Town B. At 8.40 a.m., Ali started travelling from Town B to Town A. Mingwei's speed and Ali's speed were 45 km/h and 30 km/h respectively. They did not change their speeds throughout the journey. When they met each other, their distance from Town A was twice their distance from Town B. Find the distance between Town A and Town B.
Q16
Open-ended
1 mark
🖼 Visual
Fill in the boxes below with any 2 digits from 0 to 9 to complete the multiplication algorithm. Use each digit only once. (449 × _3, giving partial products 1347 and 8_80, and final product 10327)
Q16
Open-ended
5 marks
(Paper 2) Valerie, Jake and Zechariah shared the cost of a present. 3/5 of Zechariah's share was equal to 1/3 the total of Jake's and Valerie's share. 2/3 of Jake's share was equal to 1/3 the total of Zechariah's and Valerie's share. Valerie paid $30 less than Zechariah. How much did the present cost?
Q17
Open-ended
5 marks
(Paper 2) Rectangle ABCD and rectangle MNPQ have the same perimeter. The breadth of rectangle ABCD is twice the breadth of rectangle MNPQ. The ratio of the length of rectangle ABCD to that of rectangle MNPQ is 11 : 13. The breadth of rectangle ABCD is 28 cm shorter than its length. Find the area of rectangle MNPQ.
Q17
Open-ended
1 mark
Joanne cycled 36 km in 2 hours. What is her average speed?
Q18
Open-ended
3 marks
(Paper 2) Abbey and Ben had some money each. The amount of money that Abbey had was a whole number. Abbey wanted to buy a watch using all her money but she was short of $90.50. Ben wanted to buy the same watch using all his money but he was short of $1.80. The total amount of money that both of them had was still not enough to buy the watch. How much was the watch?
Q18
Open-ended
1 mark
Find the value of 7 × 5/4.
Q19
Open-ended
1 mark
Soong Ki's height is 1.85 m. Round off his height to the nearest tenth.
Q20
Open-ended
1 mark
Siti went to bed at 22 00 and woke up the next day at 06 10. How long did Siti sleep? Give your answer in hours and minutes.
Q21
Open-ended
1 mark
🖼 Visual
The rectangle below is made up of 6 identical squares with an area of 81 cm² each. What is the length of the rectangle?
Q22
Open-ended
1 mark
🖼 Visual
In the figure below, ABCD is a parallelogram and DCE is a straight line. ∠ADC = 58° and ∠CEB = 56°. Find ∠CBE.
Q23
Open-ended
1 mark
🖼 Visual
In the grid below, draw 2 lines of symmetry for the letter H.
Q24
Open-ended
1 mark
Darren has 100 stamps. The ratio of Darren's number of stamps to Kelly's number of stamps is 4 : 5. Find the difference between Kelly's number of stamps and Darren's number of stamps.
Q25
Open-ended
1 mark
The mass of a bag of rice is 1 1/2 kg. The mass of another bag of rice is 1/4 kg less. What is the total mass of the 2 bags of rice?
Q26
Open-ended
2 marks
The total length of 3 metal rods is 11/12 m. What is the average length of the 3 metal rods?
Q27
Open-ended
2 marks
The perimeter of a rectangle is 56 cm. The breadth is 1/3 of its length. What is the length of the rectangle?
Q28
Open-ended
2 marks
🖼 Visual
The pattern in the box below shows part of a tessellation. Extend the tessellation by drawing two more unit shapes in the space provided within the box.
Q29
Open-ended
2 marks
Jack is 5 years older than his sister Jill. Their combined age was 36m years old m years ago. How old is Jack now?
Q30
Open-ended
2 marks
🖼 Visual
Four classes, 6A, 6B, 6C and 6D, folded paper planes to decorate the school. The table below shows the number of paper planes each class had folded. The information for class 6D was missing. Class 6D folded 3 more paper planes than the average number of paper planes that the 4 classes folded. The number of paper planes folded are in whole numbers. How many paper planes did the 4 classes fold altogether?