Q1
MCQ
1 mark
Which of the following are common multiples of 2 and 3?
P6 Mathematics SA1 2012 — Henry Park
Source: Henry Park, 2012
This P6 Mathematics SA1 paper from Henry Park (2012) covers measurement, money, area and perimeter, geometry and angles, patterns and algebra 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.
Q2
MCQ
1 mark
What is the difference between 6 tenths and 140 thousandths?
Q3
MCQ
1 mark
Melanie took a plane from Singapore and reached Sydney at 15 00 Singapore time. Her flight lasted 7 h 55 min. At what time did her plane depart from Singapore?
Q4
MCQ
1 mark
🖼 Visual
Which of the following is closest to the reading indicated by A in the number line shown below?
Q5
MCQ
1 mark
The average of 4 numbers is 22. Three of the numbers are 24, 26 and 28. What is the fourth number?
Q6
MCQ
1 mark
🖼 Visual
Study the following pattern. What is the 38th shape?
Q7
MCQ
1 mark
🖼 Visual
In which of the following figures below is the dotted line a line of symmetry?
Q8
MCQ
1 mark
🖼 Visual
The diagram shown below is not drawn to scale. WOX is a straight line. Find ∠a.
Q9
MCQ
1 mark
The ratio of the number of boys to the number of girls in a class is 7 : 3. What is the percentage of the boys in the class?
Q10
MCQ
1 mark
Anna and Emma shared p sweets. Anna got twice as many sweets as Emma. Given that Emma ate 6 sweets, how many sweets had Emma left?
Q11
MCQ
2 marks
🖼 Visual
A square table can seat 8 people, two at each side of the table, as shown in Figure A. How many such tables are required to form a long table, as shown in Figure B, to seat 32 people?
Q12
MCQ
2 marks
🖼 Visual
The table below shows the different games played by children at a carnival. Each child only played one game at the carnival. Given that 2/5 of the total number of children at the carnival played 'Pick a duckling', how many children played 'Pick a duckling'?
Q13
MCQ
2 marks
🖼 Visual
The figure below is not drawn to scale. ABCD is a square. AE = ED and ∠BEC = 58°. Find ∠DCE.
Q14
MCQ
2 marks
There are 12 shaded stars and 28 unshaded stars on a piece of drawing. How many more stars must Joel shade so that 3/4 of the total number of stars are shaded?
Q15
MCQ
2 marks
🖼 Visual
Amy took 3 identical sticks to form a structure as shown below. Find the length of each stick.
Q16
Open-ended
1 mark
Find the value of the missing number in the box. 7 11/12 = 7 + 5/12 + [?]/6
Q17
Open-ended
1 mark
Find the value of 4 × ( 7 − 5 ) + 9 ÷ 3
Q18
Open-ended
1 mark
🖼 Visual
The figure below shows two semicircles. O is the centre of the bigger semicircle. Find the perimeter of the shaded portion. Leave your answer in terms of π.
Q19
Open-ended
1 mark
🖼 Visual
What is the area of triangle ABC as shown in the figure?
Q20
Open-ended
1 mark
🖼 Visual
A solid figure is made up of exactly 10 identical cubes as shown below. The side of each cube is 5 cm. What is the volume of the figure?
Q21
Open-ended
1 mark
🖼 Visual
The table below shows the parking rates of a carpark. Mr Liu parked his car from 4.30 p.m. to 6.45 p.m. How much did he pay for parking charges?
Q22
Open-ended
1 mark
🖼 Visual
The chart below shows the number of family members in each household in a block of flats. What is the total number of family members in households that have 3 or fewer members?
Q23
Open-ended
1 mark
🖼 Visual
PQRS is a rectangular piece of paper. A corner of the paper was folded to form triangle RTU. Find ∠x.
Q24
Open-ended
1 mark
🖼 Visual
Jean is standing on Square M. She has to move according to the instructions given on the card. On which square will she be standing after Step 5? Instructions — Step 1: Move north 2 squares. Step 2: Move south-east 2 squares. Step 3: Move south 1 square. Step 4: Move north-west 3 squares. Step 5: Move east 1 square.
Q25
Open-ended
1 mark
The ratio of the number of apples in box A to the number of apples in box B is 2 : 5. The ratio of the number of apples in box A to the number of apples in box C is 3 : 7. What is the ratio of the number of apples in box A to the number of apples in box B to the number of apples in box C?
Q26
Open-ended
2 marks
36 m of ribbon were shared among some children. How many children were there if each child received 3/4 m of ribbon?
Q27
Open-ended
2 marks
🖼 Visual
Box A measures 22 cm by 8 cm by 16 cm. John wants to put as many cubes of side 3 cm as possible into Box A. What is the maximum number of such cubes he can put into the box?
Q28
Open-ended
2 marks
4/5 of Ryan's marbles is equal to 3/7 of Nick's marbles. Express Ryan's marbles as a fraction of Nick's marbles.
Q29
Open-ended
2 marks
🖼 Visual
Mr Lee covered a square floor completely with identical rectangular black and white tiles by using the tiling pattern shown below. How many white tiles did he use altogether?
Q30
Open-ended
2 marks
Mrs Wong had $480. She gave 60% of it to her son. Her daughter was given 75% of the remainder. How much money did her daughter get?
Q31
Open-ended
2 marks
Paper 2, Question 1: There are 25 000 pupils in a school. If 0.4 of them are girls, how many more boys than girls are there?
Q32
Open-ended
2 marks
🖼 Visual
Paper 2, Question 2: The bar chart shows the number of votes received by four contestants in a beauty contest. Given that Chloe had 102 votes, what is the total number of votes received by the four contestants?
Q33
Open-ended
2 marks
🖼 Visual
Paper 2, Question 3: Tank X and Tank Y are completely filled with water. What is the difference in the volume of the water in both tanks?
Q34
Open-ended
2 marks
🖼 Visual
Paper 2, Question 4: The table below shows the average number of fish sold by Nibbles Fish Farm over three periods last year. Find the average number of fish sold per month last year.
Q35
Open-ended
2 marks
🖼 Visual
Paper 2, Question 5: Cheng Hao dropped the block of wood shown below into a tin of grey paint. He then cut it into six identical cubes along the dotted lines shown and took it apart. The total unpainted area of the six cubes was 360 cm². Find the volume of each cube.
Q36
Structured
3 marks
🖼 Visual
Paper 2, Question 6: The figure below is not drawn to scale. PQRS is a rhombus. TRU is a straight line. ∠QRU is 106° and ∠PQR is 62°. Find ∠TRS.
Q37
Structured
3 marks
Paper 2, Question 7: Nadyne bought 100 whistles and party hats for her birthday party. After giving 0.6 of the whistles and another 37 party hats away, she had the same number of whistles and party hats left. How many party hats did she buy?
Q38
Structured
3 marks
Paper 2, Question 8: Daniel had a total of 240 red and yellow rubber bands. In a game, he lost 3/4 of his red rubber bands and 3/5 of his yellow rubber bands. Given that he had 72 rubber bands left after the game, how many yellow rubber bands were there at first?
Q39
Structured
3 marks
Paper 2, Question 9: 5 shirts cost $(2p + 10) and 2 pairs of pants cost $3p each pair. If p = 25, how much money does it cost to buy 2 shirts and 2 pairs of pants?
Q40
Structured
3 marks
Paper 2, Question 10: A quadrant with a radius of 15 cm has the same area as a triangle with a height of 15 cm. Find the base of the triangle. (Take π = 3.14)
Q41
Structured
4 marks
🖼 Visual
Paper 2, Question 11: The figure below is drawn on square grids and made up of similar quadrants and similar squares. (a) Find the area of the shaded figure. (Take π = 3.14) (b) Find the perimeter of the shaded figure. (Take π = 3.14)
Q42
Structured
4 marks
🖼 Visual
Paper 2, Question 12: In the figure below, ABCD is a square and CDE is an equilateral triangle. (a) Find ∠CAE. (b) Find ∠CEA.
Q43
Structured
4 marks
Paper 2, Question 13: Nicholas drove from Village A to Village B for 1/2 h at 60 km/h. Then he drove for another 2 h from Village B to Village C at 70 km/h. (a) What was the total distance travelled by Nicholas? (b) What was the average speed taken to drive from Village A to Village C?
Q44
Structured
4 marks
Paper 2, Question 14: The ratio of the number of boys to the number of girls in the school hall was 5 : 3. The number of boys to the number of girls in the AVA room was 7 : 1. There were twice as many children in the school hall as in the AVA room. (a) What was the ratio of the number of boys in the school hall to the number of girls in the AVA room? (b) When 18 boys left and 16 girls went into the AVA room, the ratio of the number of boys to the number of girls became 2 : 1. How many girls were there in the AVA room in the end?
Q45
Structured
4 marks
Paper 2, Question 15: Darren bought some watermelons, jackfruits and durians. 5/12 of the fruits bought were watermelons, 1/4 of the fruits bought were jackfruits and the rest were durians. A watermelon costs $2, a jackfruit costs $4 and a durian costs twice as much as a jackfruit. How many fruits did Darren buy given that he paid $324 altogether?
Q46
Structured
5 marks
Paper 2, Question 16: Anita was given an allowance of $160 where she spent 20% of it on transport, 50% on food and saved the rest. Her allowance was increased the following month. She spent the same amount of money on transport and increased her spending on food by $50. The remaining 19% of the allowance was saved. What was the percentage increase in her allowance?
Q47
Structured
5 marks
Paper 2, Question 17: Carina and Elaine each had some money. If Carina spent 3 times as much as Elaine, Carina would have $85 left when Elaine had used up all her money. If Elaine spent 3 times as much as Carina, Carina would have $597 left when Elaine had used up all her money. How much money did Carina and Elaine each have?
Q48
Structured
5 marks
🖼 Visual
Paper 2, Question 18: James cut out four identical right-angled triangles and formed the figure shown below. The figure has a perimeter of 72 cm. The shortest side of the triangle, BC, measures 9 cm. (a) Find the perimeter of each triangle. (b) The longest side of the triangle, AC, measures 6 cm shorter than the sum of the other 2 sides of the triangle. Find the area of the whole figure.