Q1
MCQ
1 mark
Which of the following numbers has the digit '9' in the ten thousands place?
P6 Mathematics SA1 2012 — Tao Nan
Source: Tao Nan, 2012
This P6 Mathematics SA1 paper from Tao Nan (2012) covers money, ratio, percentage, measurement, area and perimeter and geometry and angles across 48 questions worth 99 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
MCQ
1 mark
Which one of the following is likely to be the speed of a sprinter running in a 100-metre dash?
Q3
MCQ
1 mark
How many litres are there in 10 000 cm³?
Q4
MCQ
1 mark
Which one of the following is equivalent to 30%?
Q5
MCQ
1 mark
The value of the digit '6' in 963 975 is ____ times as large as the number 6.
Q6
MCQ
1 mark
Ahmad left Johor Bahru at 18 45. He arrived in Singapore 55 min later. What time did he reach Singapore?
Q7
MCQ
1 mark
In a class of 40 pupils, there are 25 girls. What percentage of the pupils are boys?
Q8
MCQ
1 mark
Leonard is facing Southwest. If he turns 135° in the anticlockwise direction, which direction will he be facing?
Q9
MCQ
1 mark
At a farm, there are 33 more ducks than chickens. If there are 11 chickens, what is the ratio of the number of ducks to the number of chickens?
Q10
MCQ
1 mark
🖼 Visual
The figure shows a cube with a hollow centre. Which one of the following is a net of the cube?
Q11
MCQ
1 mark
🖼 Visual
Points E and F are mid-points of Square ABCD. What fraction of the square is unshaded?
Q12
MCQ
2 marks
The length of a rectangle is twice its breadth. What is the ratio of the breadth to its perimeter?
Q13
MCQ
2 marks
It takes 60 painters 12 days to paint a school. How many painters are required to paint the same school in 20 days?
Q14
MCQ
2 marks
Jasmine, Susan and Yvonne shared a sum of money. The ratio of Jasmine's share to Susan's share was 3 : 2. The ratio of Susan's share to the sum of Jasmine's and Yvonne's share was 3 : 5. If Yvonne received $8, find the sum of money shared by the three of them.
Q15
MCQ
2 marks
🖼 Visual
In the figure below, AB, BC, CD, DE, and EA are straight lines. Find the value of ∠a + ∠b + ∠c + ∠d + ∠e.
Q16
Open-ended
1 mark
Find the value of 54.48 ÷ 6.
Q17
Open-ended
1 mark
Round off 19 999 to the nearest thousand.
Q18
Open-ended
1 mark
Express 1.05 as a mixed number in the simplest form.
Q19
Open-ended
1 mark
The area of a square is 121 cm². What is the perimeter of the square?
Q20
Open-ended
1 mark
🖼 Visual
The table below shows the prices of identical toy guns sold at two stalls in a market. Stall X: 2 for $3. Stall Y: 3 for $4. Which stall offers a lower price for a toy gun?
Q21
Open-ended
1 mark
🖼 Visual
The figure below is made up of squares. Shade three more squares so that the figure has two lines of symmetry.
Q22
Open-ended
1 mark
Express 1/6 as a percentage.
Q23
Open-ended
1 mark
Simplify 14k − 3 − 6k + 6.
Q24
Open-ended
1 mark
How many one-thirds are there in 5 1/3?
Q25
Open-ended
1 mark
🖼 Visual
ACD is a right-angled triangle. Find the area of Triangle BCD.
Q26
Structured
2 marks
🖼 Visual
The pie chart shows the types of flowers in a nursery. The number of orchids is equal to the number of lilies. What fraction of the flowers are orchids and lilies?
Q27
Structured
2 marks
🖼 Visual
The figure below is made up of two identical rhombuses, ABCH and CDEF. ∠HAB is 112°, ∠EFC is 112° and ∠CHG is 12°. Find ∠GCH.
Q28
Structured
2 marks
Malik and Jonas have some coins. If Malik gives 41 coins to Jonas, both of them will have an equal amount of coins. If Jonas gives 41 coins to Malik, Malik will have thrice as many coins as Jonas. How many coins does Jonas have?
Q29
Structured
2 marks
🖼 Visual
Square tiles are used to form the patterns as shown below (Figure 1, Figure 2, Figure 3). How many tiles are needed to form Figure 10?
Q30
Structured
2 marks
🖼 Visual
The figure below is made up of 2 squares and a circle. The area of the Square EFGH is 98 cm², what is the area of Square ABCD?
Q31
Open-ended
2 marks
(Paper 2) Mrs Tan is now 36 years old and is four times as old as her daughter. Find the sum of their ages two years ago.
Q32
Open-ended
2 marks
🖼 Visual
(Paper 2) The table below shows the number of cups of Milo drank by pupils in a school. Number of cups of Milo: 0, 1, 2, 3 with Number of pupils: 10, 130, 110, 150. What fraction of the pupils drank at least 2 cups of Milo?
Q33
Open-ended
2 marks
🖼 Visual
(Paper 2) In the figure below, ABC and AOD are triangles. O is the centre of the circle. AC is the diameter of the circle. Find ∠DAB.
Q34
Open-ended
2 marks
(Paper 2) Mr Lee spent some money on a trip and used 20% of the remaining amount to pay for his household bills amounting to $100. He then gave what was left to his wife. How much money did Mr Lee have at first if his wife received 50% of it?
Q35
Open-ended
2 marks
(Paper 2) There were 52 questions in a Mathematics quiz. 3 points were awarded for each correct answer and 1 point was deducted for each incorrect answer. If Amy attempted all 52 questions and scored 108 points, how many questions did she answer correctly?
Q36
Open-ended
3 marks
(Paper 2) Joan completed 1/5 of a jigsaw puzzle on the first day. On the second day, she completed 2/3 less than the first day. If she completed 48 pieces on the second day, how many pieces are there in the jigsaw puzzle?
Q37
Open-ended
3 marks
(Paper 2) Faizal and Zainal took part in a marathon. When Faizal finished the marathon in 5 hours, Zainal had completed 4/7 of the race. Faizal's speed was 6 km/h faster than Zainal's. Find Zainal's speed.
Q38
Open-ended
3 marks
(Paper 2) Suhailin and Muthu shared some sweets. Suhailin had 80 more sweets than Muthu. After Suhailin gave 20% of her sweets to Muthu, Muthu had 20 more sweets than Suhailin. How many sweets did Suhailin give to Muthu?
Q39
Open-ended
3 marks
(Paper 2) Joshua is studying for a Science test. He has read 1/4 of the textbook. After reading another 15 pages, the number of pages he has read became 2/3 of the number of pages left unread. How many pages did Joshua read?
Q40
Open-ended
3 marks
🖼 Visual
(Paper 2) The area of Rectangle Y is 4 times that of Rectangle Z. The area of Rectangle X is 2.5 times that of Rectangle Y. Express the total area of Rectangle X and Rectangle Z as a fraction of the whole figure.
Q41
Open-ended
3 marks
(Paper 2) The sum of Abel's and Beth's money was 3 times as much as Carl's money. Abel and Beth each gave 1/3 of their money to Carl. Carl then had $40 more than Abel while Beth had $100 less than Carl. How much money did they have altogether?
Q42
Open-ended
4 marks
🖼 Visual
(Paper 2) Water is poured into Tank A and Tank B as shown below. The height of the water level in both tanks is the same. If the difference in the volume of water of both tanks is 1400 cm³, what is the volume of water in Tank B? Tank A base 42 cm by 6 cm; Tank B base 14 cm by 13 cm. (Diagrams are not drawn to scale.)
Q43
Open-ended
4 marks
(Paper 2) At a birthday party, the ratio of the number of adults to the number of children was 1 : 4. Each boy was given 3 chocolates, each girl was given 2 chocolates while each accompanying adult received 1 chocolate. Given that 403 chocolates were distributed and that the ratio of the number of boys to the number of girls was 1 : 2, how many children were there at the birthday party?
Q44
Open-ended
4 marks
(Paper 2) Huiling had 160 less marbles than George. George gave 75% of his marbles to Huiling. Huiling then gave 20% of her marbles to George. If Huiling had 192 more marbles than George in the end, how many marbles did Huiling have at first?
Q45
Open-ended
5 marks
(Paper 2) 2/3 of the beads in Bag A is the same as 3/4 of the beads in Bag B. 23 beads were added to Bag A while 27 beads were removed from Bag B. The ratio of the number of beads left in Bag A to the number of beads in Bag B became 2 : 1. How many beads were there in Bag A in the end?
Q46
Structured
5 marks
🖼 Visual
(Paper 2) The following figures are formed by unshaded and shaded triangles. The table gives Figure vs Number of unshaded triangles vs Number of shaded triangles: Figure 1: 1 unshaded, 3 shaded; Figure 2: 3 unshaded, 6 shaded; Figure 3: 6 unshaded, 10 shaded. (a) Complete the table for Figure 4. (b) Find the number of unshaded triangles in Figure 50. (c) Find the figure that has 4095 shaded triangles.
Q47
Structured
5 marks
🖼 Visual
(Paper 2) The figure below is made of 3 circles. The ratio of the area of Circle A to the area of Circle B is 1 : 4. If the diameter of Circle A is 14 cm, find the perimeter of the shaded region in the figure. (Give your answer in terms of π.)
Q48
Structured
5 marks
(Paper 2) At 08 35, Tom started driving his lorry from Town A to Town B at an average speed of 70 km/h. At 10 05, Roy started driving his sports car from Town A to Town B at an average speed of 100 km/h. (a) At what time did Roy catch up with Tom on the road? (b) Find the distance between Town A and Town B if Roy reached Town B in 3/4 h after overtaking Tom.