Q1
Open-ended
2 marks
Sam bought 40 pencils at $4y and 10 erasers at 90 cents each. He paid the cashier $30 for all the pencils and erasers. How much change did he receive? (Answer in $)
P6 Mathematics CA1 2014 — Methodist Girls
Source: Methodist Girls, 2014
This P6 Mathematics CA1 paper from Methodist Girls (2014) covers measurement, ratio, geometry and angles, percentage, money and area and perimeter 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
What does the digit 8 stand for in 5 068 134?
Q2
MCQ
1 mark
Simplify 12 + 7m - 8 - 4m
Q2
Open-ended
2 marks
The ratio of the number of books Anne had to the number of books Shannon had was 2 : 3. After Anne gave away 5 of her books, Shannon had twice as many books as Anne. How many books did Anne have at first?
Q3
Structured
2 marks
🖼 Visual
Find the area of the shaded part in the figure below. (Answer in cm²)
Q3
MCQ
1 mark
30 books cost $p. What is the expression for the cost of 2 such books? Express your answer in terms of p.
Q4
MCQ
1 mark
Find the value of 5 ÷ 3/8
Q4
Structured
2 marks
🖼 Visual
In the figure below, ABC and DBE are straight lines.
∠ADB = 94°, ∠BCE = 90° and ∠BEC = 27°. Find ∠DAB. (Answer in degrees)
Q5
MCQ
1 mark
🖼 Visual
ABCD is a rhombus. ∠ABC = 110°. Find ∠ACD.
Q5
Structured
2 marks
🖼 Visual
In the figure below, find the sum of ∠e, ∠f, ∠g and ∠h. (Answer in degrees)
Q6
MCQ
1 mark
Li Ming has 4/5 as many stickers as Yee Mun. What is the ratio of the total number of stickers they have to the number of stickers Yee Mun has?
Q6
Structured
3 marks
5/8 of the animals on a farm are goats. 4/9 of the remaining animals are sheep and the rest are cows. Express the ratio of the number of goats to the number of sheep to the number of cows on the farm.
Q7
MCQ
1 mark
🖼 Visual
MN and PQ are straight lines. Find ∠x.
Q7
Structured
3 marks
Miss Lim wants to distribute a packet of sweets to her pupils. If she gives 4 sweets to each pupil, she will have 8 sweets left. If she gives 6 sweets to each pupil, she will be short of 68 sweets. How many pupils are there in the class?
Q8
MCQ
1 mark
🖼 Visual
What is the area of triangle ABC in the figure?
Q8
Structured
3 marks
🖼 Visual
The figure below is made up of a rectangle and a square.
What is the ratio of the area of the shaded part to the area of the unshaded part?
Q9
MCQ
1 mark
What is the missing number in the box?
45 : 18 = 10 : ____
Q9
Structured
3 marks
4 different odd numbers, each greater than 33, have an average of 50.
Given that the sum of 2 numbers is 108, what is the largest possible value of one of the remaining 2 numbers?
Q10
MCQ
1 mark
Ribbon A is 12 m long. The total length of Ribbon B and Ribbon C is 12 m long. What is the average length of the 3 ribbons?
Q10
Structured
4 marks
During Chinese New Year, Mrs Lim used 145 $2 notes to pack red packets. Each red packet contained a value of either $4 or $6. After packing, she counted all the red packets and found that she had 60 red packets.
Find the number of red packets that contained $4.
Q11
Structured
3 marks
🖼 Visual
The figure below shows a rectangle ABCD. M is the mid-point of AB, N is the mid-point of AM and O is the mid-point of AD. Find the shaded area. (Answer in cm²)
Q11
MCQ
2 marks
The mass of a box with 40 identical screws is 700 g. When 10 more screws were added into the box, the mass of the box and the screws became 850 g. What is the mass of each screw in grams?
Q12
Structured
4 marks
Ashley is 8a years old. She is 6 years younger than her sister but 33 years younger than her mother.
(a) How old will her sister be in 4 years' time? Give your answer in terms of a.
(b) If a = 3, what is the total age of Ashley and her mother in 4 years' time?
Q12
MCQ
2 marks
🖼 Visual
The table below shows the savings of Siti over 4 weeks.
The average savings for the 4 weeks was $160.
How much did she save in Week 2?
Q13
MCQ
2 marks
A number X is 20% less than another number Y.
If Y = 150, what is the value of X?
Q13
Structured
4 marks
🖼 Visual
In the figure below, EFGH is a parallelogram and ∠FEH = 120°.
FOG is an isosceles triangle with OF = OG and ∠OGF = 40°.
(a) Find ∠x.
(b) Find ∠y.
Q14
MCQ
2 marks
The ratio of the length of a rectangle to the breadth of the rectangle is 7 : 4. How much longer is the length of the rectangle than the breadth of the rectangle if the perimeter of the rectangle is 132 cm?
Q14
Structured
4 marks
There were 1250 adults in a train at the start of the journey.
40% of the adults were men. At the next train station, some adults boarded the train and then the number of men became 4/11 of the total number of adults. There were twice as many women as men that boarded the train.
(a) How many women boarded the train?
(b) How many adults were there in the train in the end?
Q15
MCQ
2 marks
🖼 Visual
In the figure below, ACDE is a square. The length of BC is 1/3 of the length of CD. What fraction of the figure is not shaded?
Q15
Structured
4 marks
🖼 Visual
The graph below shows the mass of a jug when empty and when different combinations of objects A, B and C are placed in the jug.
What is the ratio of the mass of object A to the mass of object C?
Q16
Open-ended
1 mark
2 hundreds + 20 tenths + 20 hundredths is ____________.
Q16
Structured
5 marks
Dinesh had some fiction and non-fiction books. The number of fiction books was 4/9 of the total number of books he had. After he had donated 80 fiction books and 25 non-fiction books, there were 20% as many fiction books as non-fiction books. Find the total number of books Dinesh had at first.
Q17
Structured
5 marks
Mrs Raja bought some butter cakes and chocolate cakes for a party.
She bought 4 more butter cakes than chocolate cakes. Each butter cake cost $12 and each chocolate cake cost $6 more than a butter cake. She spent $378 on all the cakes. How many cakes did Mrs Raja buy altogether?
Q17
Open-ended
1 mark
Mrs Chan bought 1 kg 500 g of flour. She used some flour to bake 48 muffins. For every 12 muffins, she used 200 g of flour. How much flour was left? (Answer in kg)
Q18
Structured
5 marks
Betty had 25% as many red buttons as blue buttons. For every dress she made, 3/8 of the buttons used were red and the rest were blue.
She used up all her red buttons to make the dresses. She had 28 blue buttons left.
(a) How many red buttons did she have at first?
(b) How many dresses did she make?
Q18
Open-ended
1 mark
Find the value of 21.84 ÷ 8.
Q19
Open-ended
1 mark
Express 2.08 as a percentage.
Q20
Open-ended
1 mark
The ratio of the number of pears to the number of oranges is 7 : 2. Express the number of oranges as a fraction of the total number of pears and oranges.
Q21
Open-ended
1 mark
🖼 Visual
The figure below is made up of a square and a triangle. The perimeter of the figure is 18 cm. Find the area of the triangle. (Answer in cm²)
Q22
Open-ended
1 mark
Highlighters are sold in packets of 3 highlighters. Each packet is sold at $4. John has $30. What is the maximum number of highlighters that he can buy?
Q23
Open-ended
1 mark
1 742 849 people visited the zoo in 2013. Round off the number of visitors to the nearest thousand.
Q24
Open-ended
1 mark
🖼 Visual
In the figure below, ACD is a straight line. ABC is an isosceles triangle, AC = BC, ∠BAC = 65°, ∠CBD = 26°. Find ∠CDB. (Answer in degrees)
Q25
Open-ended
1 mark
🖼 Visual
In the figure below, PQRS is a parallelogram, ∠QRS = 50° and ∠TPQ = 60°. Find ∠w. (Answer in degrees)
Q26
Open-ended
2 marks
Andy had some marbles. 20% of them are blue and the rest are yellow. He gave away half of his blue marbles and 25% of his yellow marbles. What percentage of his marbles were left?
Q27
Open-ended
2 marks
Jean and Peter had some sweets in the ratio 7 : 5. After Jean gave away 26 sweets, the ratio became 3 : 4. How many sweets did they have altogether at first?
Q28
Open-ended
2 marks
The total height of Ali and John is Y m. Ali is 5 cm shorter than John. Express John's height in terms of Y. (Answer in cm)
Q29
Open-ended
2 marks
The ratio of the number of pupils in Class A to the number of pupils in Class B is 5 : 3. 60% of the pupils in Class A wear spectacles while 1/3 of the pupils in Class B do not wear spectacles. Find the ratio of the number of pupils in Class A who wear spectacles to the number of pupils in Class B who wear spectacles.
Q30
Open-ended
2 marks
🖼 Visual
EFGH is a rhombus and EIJ is an isosceles triangle. HG is parallel to IJ, EI = EJ and ∠FGH = 110°. Find ∠IEJ. (Answer in degrees)