Q1
MCQ
1 mark
Find the value of 3/4 ÷ 1/8
P6 Mathematics SA1 2018 — Nanyang
Source: Nanyang, 2018
This P6 Mathematics SA1 paper from Nanyang (2018) covers measurement, geometry and angles, money, area and perimeter, ratio and percentage 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
🖼 Visual
In the number line below, what is the value of X?
Q3
MCQ
1 mark
Joyce baked some cookies. She gave 80% of the cookies to Zac. Zac ate 20% of the cookies he received from Joyce. Which one of the following shows the percentage of total cookies that Zac ate?
Q4
MCQ
1 mark
🖼 Visual
Which one of the following is likely to be the mass of an unopened can of soda?
Q5
MCQ
1 mark
🖼 Visual
Find the area of triangle ABC as shown below.
Q6
MCQ
1 mark
Find the area of a circle of radius 8 cm. Leave your answer in terms of π.
Q7
MCQ
1 mark
🖼 Visual
In the figure below, PQRS is a square and ST = TR. What type of triangle is triangle PQT?
Q8
MCQ
1 mark
🖼 Visual
The figure below shows a trapezium. Which one of the following statements is true?
Q9
MCQ
1 mark
🖼 Visual
Suraj was given $100 every month. He spent some of the money and saved the rest. The bar graph shows the amount of money he spent from January to May. How much did he spend in February and May altogether?
Q10
MCQ
1 mark
🖼 Visual
How much did he save in April?
Q11
MCQ
2 marks
Olivia is 2/7 as heavy as Sze Wei. What is the ratio of the mass of Olivia to the total mass of Olivia and Sze Wei?
Q12
MCQ
2 marks
🖼 Visual
The figure below shows a quarter circle of radius 14 cm. Find its perimeter. Take π = 22/7.
Q13
MCQ
2 marks
Rajah paid $4.80 for a box of 20 pencils. What was the cost of each pencil?
Q14
MCQ
2 marks
Joan is m years old. Sara is thrice as old as Joan. Kavita is 8 years younger than Sara. What is Kavita's age? Express your answer in terms of m.
Q15
MCQ
2 marks
🖼 Visual
The figure is made up of 5 identical squares. What fraction of the figure is shaded?
Q16
Open-ended
1 mark
Express 5/8 as a decimal.
Q17
Open-ended
1 mark
A cuboid of height 6 m has a square base of side 4 m. What is its volume? (Ans in m³)
Q18
Open-ended
1 mark
🖼 Visual
In the figure below, ABC is a triangle. ∠ABC is a right angle and ∠BAC = 58°. Find ∠ACB.
Q19
Open-ended
1 mark
🖼 Visual
In the figure below, PQRS is a parallelogram and ∠PSR = 77°. Find ∠QRS.
Q20
Open-ended
1 mark
🖼 Visual
The solid is made up of unit cubes. Draw the top view of the solid on the given square grid.
Q21
Structured
2 marks
🖼 Visual
The figure below shows a circle of radius 21 cm. Find its circumference. Take π = 22/7. (Ans in cm)
Q22
Structured
2 marks
At a fruit stall, the cost of a pineapple is 7/3 the cost of an orange. The cost of an apple is half the cost of the orange. The cost of the apple is $0.60. What is the cost of the pineapple? (Ans in $)
Q23
Structured
2 marks
🖼 Visual
The figure below is made up of a semicircle and a quarter circle. The semicircle and the quarter circle have the same diameter. Find the perimeter of the figure. Leave your answer in terms of π. (Ans in cm)
Q24
Structured
2 marks
🖼 Visual
In the figure below, IJKL is a square and HIK is a triangle. ∠IHK = 52°. Find the sum of ∠HIL and ∠HKL.
Q25
Open-ended
2 marks
🖼 Visual
In the square grid below, construct an isosceles triangle DEF such that DF = EF. The base and height of triangle DEF are equal. The base, line DE, has been drawn for you.
Q26
Structured
2 marks
Su Ling bought 2 calculators and 16 markers. Each calculator cost 12 times as much as each marker. She gave the cashier $100 and received $20 as change. What was the cost of 1 marker? (Ans in $)
Q27
Structured
2 marks
🖼 Visual
A number has 15 as a factor. Each statement below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column. Statement 1: The number is an odd number. Statement 2: The number is a multiple of 5.
Q28
Structured
2 marks
A rope measuring 5/8 m was cut equally into 6 shorter pieces. Leroy took 3 such pieces. How many metres of the rope did he take? (Ans in m)
Q29
Structured
2 marks
Mrs Tay had some beads. The ratio of the number of blue beads to the number of red beads was 2 : 5. After using 25 red beads to sew on a bag, the ratio of the number of blue beads to the number of red beads became 8 : 15. How many blue beads did she have?
Q30
Structured
2 marks
🖼 Visual
The recipe shown below is used to bake 20 chocolate chip cookies. Mdm Chan wants to bake 50 chocolate chip cookies. How much flour does she need? (Ans in g)
Q31
Structured
2 marks
A circular wheel of diameter 30 cm made 2 complete turns. Find the distance covered by the wheel. Take π = 3.14. (Ans in cm)
Q32
Structured
2 marks
🖼 Visual
The table below shows the favourite colours (red, blue, green and yellow) of a group of children. The number of children who chose yellow as their favourite colour is not shown. The total number of children who chose red and blue is the same as the total number of children who chose green and yellow. Find the number of children who chose yellow as their favourite colour.
Q33
Structured
2 marks
Mr Tang deposited $4000 in a fixed deposit account at NY Bank which offered an interest rate of 2.3% per year. How much interest would Mr Tang receive at the end of 1 year? (Ans in $)
Q34
Structured
2 marks
A machine prints 450 labels in 18 min. At this rate, how long does the machine take to print 110 labels? (Ans in min)
Q35
Structured
2 marks
The average of a group of numbers is 43. Three numbers, X, Y and Z, are removed from the group. The average of the remaining numbers remains as 43. The average of X and Y is 37. Find the value of Z.
Q36
Structured
3 marks
Luke is 1 1/3 times as tall as Steve. 3/8 of Steve's height is 45 cm. Find the difference in height between the two boys. [3] (Ans in cm)
Q37
Structured
3 marks
There are a total of 200 pens, pencils and erasers in a stationery shop. The number of pens and pencils are less than 100 each and they are both divisible by 3 and 4. The number of pens is twice the number of pencils and there are fewer erasers than pens. How many erasers are there? [3]
Q38
Structured
3 marks
🖼 Visual
The figure below shows a rectangular floor of a room measuring 12.8 m by 8 m. The rectangular floor was tiled using circular tiles of diameter 0.8 m. Each tile is in contact with those next to it. At most, how many of such tiles can be used to tile the rectangular floor? [3]
Q39
Structured
3 marks
🖼 Visual
The figure below is made up of 3 quarter circles and a rectangle. The rectangle has a length of 10 cm and an area of 80 cm². Find the perimeter of the figure. Take π = 3.14. [3]
Q40
Structured
3 marks
🖼 Visual
In the figure below, ABD and BCD are triangles. ∠BAC = 34°, ∠BEC = 86° and AC = AD. ∠BAD is a right angle and AEC is a straight line. Find ∠BDC. [3]
Q41
Structured
4 marks
Mr Yusof's candy shop had some cola candies and some mint candies at first. He then made more cola candies and sold 357 mint candies. As a result, there was a 20% increase in the number of cola candies and a 68% decrease in the number of mint candies. In the end, the ratio of the number of cola candies to the number of mint candies was 9 : 4. Find the number of cola candies at first. [4]
Q42
Structured
4 marks
A shopkeeper had a total of 960 T-shirts and caps. The ratio of the number of T-shirts to the number of caps is 5 : 3. After selling an equal number of T-shirts and caps, the ratio of the number of T-shirts left to the number of caps left was 13 : 3. How many caps did the shopkeeper sell? [4]
Q43
Structured
4 marks
🖼 Visual
In the figure below, MNPQ is a parallelogram and NOP is an isosceles triangle. ∠MQP = 64°, ∠MNO = 112° and PN = PO. (a) Find ∠ONP. (b) Find ∠OPQ.
Q44
Structured
4 marks
Brian had $228 more than Jia Ming. After Brian spent 1/3 of his money and Jia Ming spent 3/4 of his money, the amount Brian had left was $302 more than the amount Jia Ming had left. How much money did Brian have at first? [4]
Q45
Structured
4 marks
Rachel and Elijah received a fixed amount of money every month. In the first month, Rachel spent $5.60 per day and Elijah spent $2.80 per day. Rachel had $39.20 left when Elijah had spent all his money. In the second month, Rachel spent $2.80 per day and Elijah spent $5.60 per day. Rachel had $140 left when Elijah had spent all his money. How much money did Rachel receive every month? [4]
Q46
Structured
5 marks
Max, Ruby and Steve shared a packet of sweets. The ratio of the total number of sweets Ruby and Steve received to the number of sweets Max received was 2 : 3. After Max gave 9 sweets to Ruby and 23 sweets to Steve, the 3 children had the same number of sweets in the end. (a) How many sweets did Ruby have in the end? (b) How many sweets did Steve have at first?
Q47
Structured
5 marks
🖼 Visual
The figure below is made up of a circle, 2 identical large quarter circles and 4 identical smaller quarter circles. The length of AB is 20 cm. Find the area of the shaded part. Take π = 3.14. [5]