Q1
Open-ended
2 marks
🖼 Visual
(Paper 2) In the figure below, not drawn to scale, ABCD is a rhombus and CDEF is a rectangle. BD is parallel to CG. ∠BAD = 66°. Find the value of ∠DCG.
P6 Mathematics CA1 2012 — Methodist Girls
Source: Methodist Girls, 2012
This P6 Mathematics CA1 paper from Methodist Girls (2012) covers geometry and angles, ratio, patterns and algebra, money, percentage and measurement 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.
Q1
MCQ
1 mark
Mother baked y cookies. She gave 12 cookies to her neighbour and distributed the rest among her three children. Which mathematical statement below shows the correct way to calculate the number of cookies each child received?
Q2
Open-ended
2 marks
🖼 Visual
(Paper 2) The figure below shows a pyramid consisting of four similar isosceles triangular faces. Complete the net of this pyramid within the grid provided below.
Q2
MCQ
1 mark
Carol saves $4 a week. How many weeks will she take to save $m?
Q3
Open-ended
2 marks
(Paper 2) An apple cost w cents and a mango cost three times as much. May bought 3 apples and 2 mangoes. She gave the cashier a $10 note and received some change. Express the amount of change received in terms of w.
Q3
MCQ
1 mark
🖼 Visual
In the figure below, not drawn to scale, PQR is an isosceles triangle and QS is a straight line. Find the value of ∠a.
Q4
Open-ended
2 marks
🖼 Visual
(Paper 2) In the figure below, not drawn to scale, PQRS is a parallelogram and UPS is a straight line. RS = ST and ∠d = ∠e = ∠f. Find the value of ∠g.
Q4
MCQ
1 mark
🖼 Visual
In the figure below, not drawn to scale, ABC is a triangle. Find ∠r + ∠s + ∠t.
Q5
MCQ
1 mark
Tim had 8 identical straws. He made an object using all 8 straws without cutting or bending any of them. Which object did he make?
Q5
Open-ended
2 marks
🖼 Visual
(Paper 2) The figure below is not drawn to scale. QR is 18 cm and RS is 24 cm. RS is three times as long as PS. Find the area of triangle PQR.
Q6
MCQ
1 mark
15 tenths + 213 hundredths = ____
Q6
Open-ended
3 marks
(Paper 2) Two sisters, Jen and Kara, divided $28 000 between themselves in the ratio 3 : 4. Kara kept 5/8 of her share for herself and gave the rest to her mother and son in the ratio 2 : 3. How much money did Kara's son receive?
Q7
Open-ended
4 marks
(Paper 2) Susan paid $59.50 for some pens and files. She paid $2.35 for each file and $0.55 less for each pen. She bought half as many files as pens. How many files did she buy?
Q7
MCQ
1 mark
John spent half of his salary. He gave 75% of the remainder to his parents and saved the rest. Find the ratio of the amount he spent to the amount he saved.
Q8
MCQ
1 mark
Find the smallest whole number that will give a value of 1 200 when rounded off to the nearest hundred.
Q8
Open-ended
3 marks
(Paper 2) The ratio of Lisa's mass to Claire's mass is 5 : 4. If Lisa loses 1 kg and Claire gains 5 kg, both of them will have the same mass. What is Lisa's original mass?
Q9
MCQ
1 mark
The average of 3 consecutive numbers is 26. Find the biggest number.
Q9
Open-ended
4 marks
(Paper 2) The ratio of the number of ducks to the number of chickens is 25 : 37. The ratio of the number of female ducks to the number of male ducks is 4 : 9. If there are 450 male ducks, how many chickens are there in the farm?
Q10
Open-ended
3 marks
(Paper 2) A, B, C and D are whole numbers such that A × B = 8, B × C = 28, C × D = 63 and B × D = 36. Find the value of A × B × D.
Q10
MCQ
1 mark
Which of the following has the largest value?
Q11
Open-ended
3 marks
(Paper 2) Tom scored 78, 81, 75 and 66 marks for his first four Mathematics tests. If he wants to increase his average mark by 3, how many marks should he score for his next Mathematics test?
Q11
MCQ
2 marks
🖼 Visual
The length of the square below is 20 cm. Find the area of the shaded part.
Q12
Open-ended
3 marks
🖼 Visual
(Paper 2) The figure below, not drawn to scale, is made up of a square and 4 identical right-angled triangles. The perimeter of the square is 28 cm. The height of each triangle is twice its base. Find the total area of this figure.
Q12
MCQ
2 marks
The ratio of the number of pens that Rita has to the number of pens that Siti has is 1 : 2. The ratio of the number of pens that Tania has to the number of pens that Siti has is 5 : 4. If Siti has 20 pens how many more pens does Tania have than Rita?
Q13
MCQ
2 marks
Look at this pattern of numbers.
7 × 11 × 13 × 1 = 1 001
7 × 11 × 13 × 2 = 2 002
7 × 11 × 13 × 3 = 3 003
What is 7 × 55 × 26?
Q13
Structured
4 marks
(Paper 2) Sufen has three times as many marbles as Aidah. Belle has twice as many marbles as Sufen. Belle has 35w marbles more than Aidah.
(a) How many marbles does Aidah have? Give your answer in terms of w.
(b) If w = 3, how many marbles do the three children have altogether?
Q14
MCQ
2 marks
The average of 2 numbers is 30. Half of one number is twice of the other. What is the smaller number?
Q14
Open-ended
4 marks
🖼 Visual
(Paper 2) In the figure below, not drawn to scale, STUV is a parallelogram and QSTU is a trapezium. PR is parallel to SV and PX is a straight line. ∠RQU = 138° and ∠WTX = 62°. Find the value of ∠PVU.
Q15
MCQ
2 marks
Naomi deposits $200 every month in a bank which pays 1% interest per year. How much money will she have in the bank after 1 year?
Q15
Structured
5 marks
(Paper 2) There were 3/5 as many boys as girls in a hall during recess. After recess, 18 boys and 16 girls entered the hall. Then there were 5/6 as many boys as girls.
(a) How many boys were there in the hall at first?
(b) What fraction of the total number of pupils in the hall after recess were girls? Give your answer in the simplest form.
Q16
Open-ended
1 mark
🖼 Visual
In this figure, not drawn to scale, AB and CD are straight lines. Find the sum of ∠AGF and ∠CGE.
Q16
Open-ended
5 marks
(Paper 2) Zoe, Sally and Mandy sold balloons at a funfair. Zoe sold 1/5 of the total number of balloons. Mandy and Sally sold the rest of the balloons in the ratio 5 : 7. If Zoe sold 24 balloons less than Mandy, how many balloons did the three girls sell altogether?
Q17
Structured
5 marks
(Paper 2) Ali has five times as many paper clips as Paul and 10 more. Natalie has one tenth of what Ali has and 4 more. The number of paper clips that Natalie has is 3 fewer than Paul's.
(a) What is the total number of paper clips the three children have altogether?
(b) How many of Ali's paper clips must be given to Paul if both of them want the same number of paper clips?
Q17
Open-ended
1 mark
🖼 Visual
Gregory is facing the cinema. If he turns 225° anti-clockwise, where will he be facing?
Q18
Open-ended
4 marks
(Paper 2) Susan and Kevin had a total of 45 storybooks. When their mother bought each of them 9 storybooks, Kevin had 25% more books than Susan. Find the ratio of the number of books that Susan had at first to the number of books that Kevin has now.
Q18
Open-ended
1 mark
🖼 Visual
How many faces are there in the solid below?
Q19
Open-ended
1 mark
Carl and Mel together drank 4/5 of a bottle of apple juice. Carl drank half as much as Mel. What fraction of the bottle of juice did Carl drink?
Q20
Open-ended
1 mark
🖼 Visual
What is the decimal represented by the letter X?
Q21
Open-ended
1 mark
Express 2 1/2 hours as a ratio of 24 minutes in its simplest form.
Q22
Open-ended
1 mark
Max uses the four letters Q, R, S and T to form a pattern. The first 10 letters are shown below. Which letter is in the 143rd position?
Q, R, S, T, Q, R, S, T, Q, R .
Q23
Open-ended
1 mark
What is the missing number in the box?
13 × 9 + ____ × 9 + 27 = 30 × 9 - 9
Q24
Open-ended
1 mark
🖼 Visual
In the figure below, BD is a straight line and AD = CD. What is the area of triangle ABC?
Q25
Open-ended
1 mark
In a class of 40 pupils, 20% of the pupils do not wear spectacles. How many more pupils wear spectacles than those who do not wear spectacles?
Q26
Open-ended
2 marks
Fiona is 3 kg lighter than Eliza and 7 kg heavier than Tina. If Fiona is j kg, find the total weight of the 3 girls.
Q27
Open-ended
2 marks
🖼 Visual
In the figure below, not drawn to scale, KL and MN are parallel lines. Find ∠x.
Q28
Structured
2 marks
🖼 Visual
The net below forms a cube.
(a) Which shape is opposite the black filled circle when the net is folded to make a cube?
(b) Another net of the same cube is shown below. Fill in the symbols on the net given below.
Q29
Open-ended
2 marks
4/5 of Jan's marbles is equal to 2/3 of Sue's marbles. What fraction of Sue's marbles must be given to Jan such that both of them have the same number of marbles?
Q30
Open-ended
2 marks
Mr Ong earns $4 000 a month. His wife earns 15% less than him. How much do they earn altogether in one month?