Q1
Open-ended
2 marks
🖼 Visual
The figure below is formed by a square and a semicircle. Find the perimeter of the figure. (Take π = 22/7)
P6 Mathematics SA1 2016 — Henry Park
Source: Henry Park, 2016
This P6 Mathematics SA1 paper from Henry Park (2016) covers money, area and perimeter, measurement, geometry and angles, average, rate and speed and ratio across 33 questions worth 80 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
Open-ended
2 marks
Ann, Beth and Cindy shared some cookies in the ratio 2 : 3 : 7 respectively. Each of them received an average of 324 cookies. How many more cookies did Cindy receive than Ann?
Q3
Open-ended
2 marks
Jack has less than 50 sweets. If he packs the sweets in bags of five, he will have 4 sweets left. If he packs them in bags of seven, he will have 5 sweets left. How many sweets does Jack have?
Q4
Open-ended
2 marks
🖼 Visual
The table below shows the amount of water Jenny used during her shower from Monday to Friday last week. What was the average amount of water used on each day from Monday to Friday?
Q5
Open-ended
2 marks
🖼 Visual
In the figure below, A and B are right-angled triangles. The base of triangle A is 24 cm. The base of triangle A is 4 times the base of triangle B. The height of triangle B is twice the height of triangle A. Given that the area of triangle A is 84 cm², what is the area of triangle B?
Q6
Open-ended
3 marks
Salmah paid $21.10 for 2 bowls, 3 plates and 4 cups. Each bowl cost 3 times as much as each cup. Each plate cost $1.20 less than each bowl. What was the cost of one plate?
Q7
Structured
3 marks
🖼 Visual
The table below shows the prices of pencils and notebooks sold at a bookshop. Pencil = p cents, Notebook = (3p - 5) cents.
(a) Siti bought 4 pencils and 1 notebook. Express the amount of money that she spent at the bookshop in terms of p in its simplest form.
(b) Ming Wen paid $7.50 for 8 pencils and some notebooks. If p = 30, how many notebooks did he buy?
Q8
Open-ended
3 marks
🖼 Visual
A rectangular piece of paper was folded at two of its corners, A and C, as shown below. Find ∠ABC.
Q9
Open-ended
3 marks
🖼 Visual
Tina had two rectangular tanks as shown below. Tank A was 2/5 full. There was a pipe attached to Tank A, 15 cm from the base, where water can flow out of it and into Tank B. When Tina poured 1.7 litres of water into Tank A, how much water will flow out of Tank A into Tank B?
Q10
Open-ended
3 marks
🖼 Visual
The figure below is made up of 2 squares, ABCD and EFGH, and 2 identical semicircles. E is the mid-point of AB and G is the mid-point of DC. Find the total area of the shaded parts. (Take π = 22/7)
Q11
Open-ended
4 marks
After selling 693 concert tickets at $75 each, there were 2/9 of the tickets left. 2/3 of the remaining tickets were sold at $60 each and the rest of the tickets were given away free. What was the total amount of money collected from the sale of tickets?
Q12
Open-ended
4 marks
Mr Suraj saves 40% of his salary every month. He gives 4/15 of the remainder to his wife and divides the remaining amount of his salary equally among his two parents and two daughters. Given that both of his daughters receive a total of $352 from him, find Mr Suraj's monthly salary.
Q13
Structured
4 marks
🖼 Visual
The figure below is not drawn to scale. ABCD is a rhombus and ACE is a straight line.
(a) Find ∠CFE.
(b) Find ∠BCF.
Q14
Structured
4 marks
Bernice and Andrew drove from Town G to Town H. Bernice drove at an average speed of 90 km/h and took 40 min to reach Town H. Andrew drove at an average speed of 80 km/h and reached Town H later than Bernice by 3 minutes.
(a) What was the distance between Town G and Town H?
(b) How many minutes earlier did Andrew start driving than Bernice?
Q15
Open-ended
4 marks
There were some chicken pies, beef pies and mutton pies for sale at a bakery. 3/5 of the pies were chicken pies. The ratio of the number of beef pies to the number of mutton pies was 7 : 3. There were 56 fewer beef pies than chicken pies. After some beef pies were sold, 30% of the remaining pies in the bakery were beef pies and mutton pies. How many beef pies were sold?
Q16
Open-ended
1 mark
Express 8.02 as a mixed number in its simplest form.
Q16
Structured
5 marks
🖼 Visual
Mr Lim and Mr Wong bought some light bulbs at prices shown below. Small Bulbs: 4 for $14.50. Large Bulbs: 3 for $19.30.
(a) Mr Lim bought 40 small bulbs and 66 large bulbs to fix in his office. He fixed an equal number of small bulbs in each room in his office and had 1 small bulb left. He also fixed an equal number of large bulbs in each room in his office and had 1 large bulb left. How many rooms were there in Mr Lim's office?
(b) 2/5 of the bulbs that Mr Wong bought were small bulbs. Given that he paid $159.30 in total, how many bulbs did Mr Wong buy altogether?
Q17
Open-ended
1 mark
Use the digits 9, 5, 4 and 2 to form a 4-digit number that is closest to 5000. Each digit can only be used once.
Q17
Structured
5 marks
🖼 Visual
The rectangle below is divided into 5 parts, A, B, C, D and E. The ratio of the area of A to the area of D to the area of E is 5 : 3 : 4. The ratio of the area of A to the area of B is 3 : 4.
(a) Find the ratio of the area of B to the area of C to the area of E in the simplest form.
(b) Given that the area of A is 90 cm², find the area of the rectangle.
Q18
Open-ended
5 marks
There were some green and red apples in a box. Ted took out 2/11 of the green apples from the box. He replaced each of these green apples taken out with red apples. After that, he took out 2/5 of the green apples and 1/3 of the red apples. There were 108 green apples and 228 red apples left in the box in the end. What was the total number of green and red apples in the box at first?
Q18
Open-ended
1 mark
🖼 Visual
The figure below is made up of two identical rectangles. Each rectangle measures 10 cm by 4 cm. Find the perimeter of the figure.
Q19
Open-ended
1 mark
🖼 Visual
The figure below is made up of 2 identical squares of side 7 cm. A semi-circle is drawn inside the figure. Find the area of the shaded part. (Take π = 22/7)
Q20
Open-ended
1 mark
🖼 Visual
A rectangular piece of paper measuring 14 cm by 2 cm is folded into the shape as shown below. What is the area of the shaded part?
Q21
Open-ended
1 mark
🖼 Visual
The following bar graph shows the favourite fruits voted by some students. Each student could only vote once. Given that 6 students voted for "Apple" as their favourite fruit, find the total number of students.
Q22
Open-ended
1 mark
🖼 Visual
The table below shows the time taken by 5 different runners in a race. What was the average time taken by the two slowest runners?
Q23
Open-ended
1 mark
🖼 Visual
Complete the figure below so that line AB is the line of symmetry.
Q24
Open-ended
1 mark
A car travelled 60 km from 16 00 to 16 40. What is the average speed at which the car travelled?
Q25
Open-ended
1 mark
The ratio of the cost of one shirt to the total cost of one shirt and 2 similar blouses is 3 : 7. Given that each blouse costs $30, find the cost of one shirt.
Q26
Open-ended
2 marks
🖼 Visual
The figure below is not drawn to scale. ABCD is a rectangle. EB is 2/3 the length of AB. Find the area of the shaded region.
Q27
Open-ended
2 marks
🖼 Visual
In the figure, CBD is an isosceles triangle and ∠ACD is 152°. Find ∠CBA.
Q28
Open-ended
2 marks
🖼 Visual
Cupcakes on Sale
$2 each
Buy 5 and get 1 free
What is the least amount of money needed to buy 30 such cupcakes?
Q29
Open-ended
2 marks
There were some children in a sports hall. 2/5 of them are girls. After 1/4 of the girls had left, there were 36 more boys than girls remaining in the sports hall. How many children were there in the sports hall at first?
Q30
Open-ended
2 marks
The usual price of a handbag is $250. Michelle bought the bag and was given a 20% discount. She had to pay a 7% GST on the discounted price. How much did she pay for the handbag in the end?