Q1
MCQ
1 mark
Find the value of 95 − (11 + 4) ÷ 5 x 4.
P6 Mathematics SA1 2018 — Tao Nan
Source: Tao Nan, 2018
This P6 Mathematics SA1 paper from Tao Nan (2018) covers measurement, money, area and perimeter, geometry and angles, average, rate and speed and fractions across 47 questions worth 102 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
MCQ
1 mark
Subtract 0.34 from 14 tenths.
Q3
MCQ
1 mark
A is thrice of B. B is five times of C. What is the ratio of C to A?
Q4
MCQ
1 mark
Su Min was born on 1 July 2007. How old will she be on 1 January 2018?
Q5
MCQ
1 mark
🖼 Visual
Henry made the cuboid shown using 3-cm cubes. What is the volume of the cuboid?
Q6
MCQ
1 mark
🖼 Visual
ABCD is a rhombus. Find ∠BAC.
Q7
MCQ
1 mark
🖼 Visual
The line graph shows the number of books borrowed from a library from August to December. In which 1-month period was there the biggest change in the number of books borrowed?
Q8
MCQ
1 mark
A farmer planted 9 trees in a row. The trees were planted at the same distance apart. The distance between the first and fourth tree was 12 m. What was the distance between the first tree and the last tree?
Q9
MCQ
1 mark
🖼 Visual
In the figure below, ∠a is twice of ∠b. ∠c is 10° bigger than ∠a. Find ∠c.
Q10
MCQ
1 mark
The average mass of Box A, Box B and Box C is 6 kg. The mass of Box C is 8 kg. What is the average mass of Box A and Box B?
Q11
MCQ
2 marks
A shop gave a discount of $5 for every $30 spent. Jenny wanted to buy a pillow. The price of the pillow was $96 before discount. How much did Jenny pay for the pillow?
Q12
MCQ
2 marks
🖼 Visual
The perimeter of the triangle shown is half that of a rectangle. Given that the length of the rectangle is longer than its breadth, how many possible values of the length of the rectangle are there if each length is a whole number?
Q13
MCQ
2 marks
Shannon is b years old. Her sister is 4 years younger than her. What is the sum of their ages in 5 years' time?
Q14
MCQ
2 marks
Mr Lim only sells apples in bags of 6. Each bag is sold at $3. Sally has $7. How many apples can she buy at most?
Q15
MCQ
2 marks
🖼 Visual
In the figure below, not drawn to scale, find the sum of ∠p + ∠q.
Q16
Open-ended
1 mark
How many sixths are there in 9 2/3 ?
Q17
Open-ended
1 mark
1 kg 17 g = ____________ kg.
Q18
Open-ended
1 mark
Find the value of 3 + 2/3 − 1/4
Q19
Open-ended
1 mark
Simplify 5a − 8 − 2a + 10
Q20
Open-ended
1 mark
🖼 Visual
Muthu is facing the West. He turns anti-clockwise to face North. What angle has he turned through?
Q21
Open-ended
2 marks
🖼 Visual
The table below shows the parking rates at a car park. First hour: $3.00. Every additional half hour or part thereof: $0.50. Mr Tan parked his car at the car park from 2.20 p.m. to 5.00 p.m. How much did he pay for the parking charges?
Q22
Open-ended
2 marks
🖼 Visual
The figure is made up of 2 triangles. Triangle X is 1/4 the size of Triangle Y. 1/3 of Triangle X is shaded. What fraction of the figure is shaded?
Q23
Open-ended
2 marks
The cost of an oven, inclusive of a 7% GST, is $321. What is the cost of the oven before GST?
Q24
Open-ended
2 marks
🖼 Visual
The area of the square shown below is 100 cm². Find the circumference of the circle inside it. (Take π = 3.14)
Q25
Open-ended
2 marks
🖼 Visual
The figure shows a trapezium. Triangle ACD is divided into 2 equal parts. Find the area of the shaded part.
Q26
Open-ended
2 marks
A wheel makes 26 revolutions per minute. How long does it take to make 2340 revolutions?
Q27
Open-ended
2 marks
There are three types of muffins in a box. The ratio of the number of vanilla muffins to cheese muffins is 4 : 5. The ratio of the number of strawberry muffins to the total number of vanilla and cheese muffins is 5 : 6. What fraction of the muffins in the box are vanilla muffins?
Q28
Open-ended
2 marks
Mdm Lee has 3/5 kg of walnuts. She uses 1/6 of it to bake some cakes. What is the mass of walnuts left?
Q29
Open-ended
2 marks
A group of 5 students booked a tennis court for 2 hours. They took turns to play. Every student played an equal amount of time. At any time, there were 4 students playing on the court. On average, how long did each student play on the court?
Q30
Open-ended
2 marks
🖼 Visual
Use the grid given. Draw an isosceles triangle, PQR, such that ∠PQR = 90°. Measure the length PR.
Q31
Open-ended
2 marks
Mdm Lee bought 120 fruits. 1/3 of the fruits were apples, 1/4 of the fruits were oranges and the rest were pears. How many pears did Mdm Lee buy?
Q32
Open-ended
2 marks
There are 60 cookies in a box. 36 of them are chocolate cookies while the rest are almond cookies. What is the ratio of the number of almond cookies to the number of chocolate cookies in the box?
Q33
Structured
4 marks
🖼 Visual
(a) What is the reading shown on the scale below? (b) Find the value that is exactly halfway between 3/4 and 7/8.
Q34
Open-ended
2 marks
Mrs Ng had 4p pies. She ate 1 pie and gave p pies to her friends. Mrs Ng's children then ate half of the remaining pies. How many pies had she left? Express your answer in terms of p in the simplest form.
Q35
Structured
2 marks
🖼 Visual
The square grid below shows the plan of a playground. (a) In what direction is the tree from the swing? (b) The estate management wants to place a bench in the playground. The location of the bench is to be south of the slide and east of the toy car. Put a cross ( ✗ ) in the square where the bench will be placed.
Q36
Structured
3 marks
🖼 Visual
In the figure below, AOB and COD are straight lines. (a) Find ∠y. (b) Find ∠z.
Q37
Open-ended
3 marks
🖼 Visual
The figure below is made up of an isosceles triangle and a semicircle. The height of the triangle is equal to its base. Find the area of the triangle. (Take π = 3.14)
Q38
Open-ended
3 marks
1 kg of cherries cost as much as 1.5 kg of peaches. Mrs Li spent $54 for 2.5 kg of cherries and 3 kg of peaches. What was the cost of 1 kg of peaches?
Q39
Open-ended
3 marks
There were 34 more girls than boys in the hall. The number of boys was 17% less than the number of girls. How many children were there?
Q40
Open-ended
3 marks
🖼 Visual
A blue cube is completely filled with 27 identical red cubes. Each side of the red cube is 2 cm. Find the volume of the blue cube.
Q41
Structured
4 marks
Jerry wanted to buy a pair of shoes. During a sale, he saw a white pair of shoes on sale at 15% discount and a black pair of shoes at 20% discount. Both pairs of shoes were selling at the same price before the discount. To buy the white pair, Jerry would need $2.50 more than what he had. Jerry bought the black pair of shoes and had $2 left after that. a) How much did the pair of white shoes cost before the discount? b) How much money did Jerry have at first?
Q42
Structured
4 marks
🖼 Visual
In the figure below, not drawn to scale, RST is a straight line. RW = SW and RV = SV. a) Find ∠a. b) Find ∠b.
Q43
Open-ended
4 marks
🖼 Visual
The figure below shows a circle in a square ABCD of side 26 cm. E is the midpoint of line BC. Find the area of the shaded region. (Take π = 3.14)
Q44
Structured
4 marks
Amy, Beth and Cally had a total weight of 115 kg. One year later, Amy's weight doubled. Beth's weight increased by 15 kg and Cally's weight reduced by 5 kg. As a result, Amy became twice as heavy as Beth and Beth became twice as heavy as Cally. a) Find Beth's weight at first. b) Find their average weight in the end. Round your answer to the nearest whole number.
Q45
Structured
4 marks
🖼 Visual
The bar graph shows the donation collected by 5 companies. a) The donation of Company B is twice that of Company E. Complete the bar graph. b) Which Company collected the most amount of money? c) What is the average donation collected by Company A, B, C and D?
Q46
Structured
5 marks
🖼 Visual
Tank A and Tank B are rectangular tanks. The base area of Tank A is 1500 cm² and the base area of Tank B is 2000 cm². At first, Tank A has water up to a height of 15 cm and Tank B is empty. a) When the tap is turned on for 11 minutes, water flows into Tank B at a rate of 4ℓ per minute. (i) How much water is there in Tank B? (ii) What is the height of the water level in Tank B? b) Then, some water in Tank B is transferred into Tank A so that the height of the water level in both tanks are the same. What is the increase in the height of the water level for Tank A?
Q47
Structured
5 marks
🖼 Visual
Mary designed the following figure with quadrants and semicircles. She wants to bend wire to make the figure. A figure can only be formed using a single piece of wire. (a) How many centimetres of wire is needed to make 1 such figure? (Take π = 22/7) (b) The wires are sold in rolls of 2 m long. How many such rolls of wire would Mary need to buy to make 10 figures?