Q1
MCQ
1 mark
Round off 56 048 to the nearest hundred.
P6 Mathematics CA1 2014 — Rosyth
Source: Rosyth, 2014
This P6 Mathematics CA1 paper from Rosyth (2014) covers area and perimeter, ratio, money, measurement, geometry and angles and percentage across 48 questions worth 91 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q1
Open-ended
2 marks
1/2 of X is equal to 3/5 of Y. What is the ratio of X : Y?
Q2
Open-ended
2 marks
🖼 Visual
What fraction of the figure is shaded?
Q2
MCQ
1 mark
7/9 x 6/13 = 14/□
Q3
Open-ended
2 marks
🖼 Visual
Draw and shade one more box in the grid below to form the net of a cube.
Q3
MCQ
1 mark
🖼 Visual
Which of the nets shown below can be folded to form a pyramid?
Q4
MCQ
1 mark
Simplify 7y - 2y x 3 + 5y x 2
Q4
Open-ended
2 marks
🖼 Visual
Find the area of the shaded part shown below.
Q5
Open-ended
2 marks
🖼 Visual
The figure below (not drawn to scale) is made up of 2 semi-circles. Given that AB is the diameter of the smaller semi-circle and AB = BC, find the perimeter of the shaded region using calculator π.
(Leave your answer correct to 2 decimal places)
Q5
MCQ
1 mark
🖼 Visual
100 pupils took part in a survey to find out their mode of transport. The results were tabulated as follows:
What is the ratio of the number of pupils who take the school bus to the number of pupils who take the public bus to the number of pupils who walk?
Q6
MCQ
1 mark
The usual price of a book was $25. It was sold for $10. What was the percentage discount on the book?
Q6
Open-ended
3 marks
Samuel had some money. He spent 20% of it on a book. He then bought a bag which cost $57 more than the book. He had $75 left. What percentage of his money was spent on the bag? (Leave your answer correct to 2 decimal places)
Q7
MCQ
1 mark
Boston invited 40 friends to his party. 12 of them were boys while the rest were girls. What percentage of the friends he invited were girls?
Q7
Open-ended
3 marks
🖼 Visual
The figure (not drawn to scale) shows a semi-circle and a circle of radius 5 cm. AB = BC = 5cm. Area of the shaded part is 33cm². Find the area of the figure. (Take π = 3.14)
Q8
MCQ
1 mark
🖼 Visual
Find the area of triangle XYZ. (The figure is not drawn to scale)
Q8
Structured
3 marks
Team B had 12 fewer players than Team A. When 3 players from Team B were transferred to Team A, Team A had 3 times as many players as Team B.
(a) How many players were in Team A at first?
(b) How many players were in Team B at first?
Q9
MCQ
1 mark
🖼 Visual
What is the area of triangle QRS as shown in the figure?
Q9
Structured
3 marks
Two years ago, Rajah was n years old. His brother was twice his age then.
(a) What was their total age 2 years ago?
(b) What is their total age now?
(c) What will be their total age 3 years from now?
Express all your answers in terms of n.
Q10
MCQ
1 mark
🖼 Visual
Which of the following nets can be folded to form this triangular prism?
Q10
Open-ended
3 marks
🖼 Visual
The figure below (not drawn to scale) shows rectangle ABCD. ADF and CEF are isoceles triangles. Given that BE = CE, find the area of the shaded triangle.
Q11
Open-ended
4 marks
Peter and Dew had some stamps in the ratio of 5 : 7. After both of them used up 22 stamps each, the ratio became 2 : 5. How many stamps did Peter have at first?
Q11
MCQ
2 marks
🖼 Visual
Find the ratio a : c.
Q12
Open-ended
4 marks
🖼 Visual
In the figure below (not drawn to scale), the square ABCD has sides of 10 cm. There is a semi-circle and two quadrants drawn in it. Find the perimeter of the shaded figure below. (Take π = 3.14)
Q12
MCQ
2 marks
The area of a rectangular science garden plot in a school is 3/10 m². Its width is 1/3 m. What is its length?
Q13
MCQ
2 marks
🖼 Visual
The figure below is made up of 3 identical quadrants with radius r = 6cm. What is the perimeter of the figure? Leave your answer in terms of π.
Q13
Open-ended
4 marks
Alice has 93 coins in her piggy bank that contains only $1 and 20¢ coins. She has counted her coins and they added up to $62.60 altogether. How many $1 coins does Alice have?
Q14
MCQ
2 marks
🖼 Visual
The figure below is made up of a three-quarter circle and a quadrant. X is the centre of the circle. What is the area of the figure? Leave your answer in terms of π.
Q14
Open-ended
4 marks
At a gift shop, the number of $2 gift packs, $5 gift packs and $10 gift packs were in the ratio of 16 : 9 : 7. 1/8 of the $2 gift packs and 34 of the $5 gift packs were sold. The remaining gift packs were worth $1975. How many of the $10 gift packs were there?
Q15
MCQ
2 marks
Mary buys 3 notebooks and 2 pencils from a bookshop. A notebook costs 2 times as much as a pencil. How much does each notebook cost if she pays $6 altogether?
Q15
Open-ended
🖼 Visual
A rectangular piece of paper (not drawn to scale) was folded along the dotted lines to form the figure as shown below. FGHJ is a square, AJF is a triangle and ABEF is a rectangle. AF = 12cm. F is the midpoint of AG. The ratio area of the shaded triangle AFJ to the shaded rectangle BCDE to the rectangular piece of paper is 2 : 3 : 24. Find the area of rectangle ABEF
Q16
Open-ended
1 mark
Write the following in numerals:
Two hundred and fifty-three thousand, one hundred and eight.
Q16
Structured
5 marks
A bookstore offered a discount of $15 for every $100 spent. If the total spending exceeds $200, an additional discount of 7% is given.
(a) Ahmad bought $248 worth of books from the bookstore. How much did he pay after the discount?
(b) Dave paid $192.60 for some books inclusive of GST of 7%. What was the price without GST?
Q17
Open-ended
1 mark
Express 4 7/8 as a decimal.
Q17
Open-ended
5 marks
Joy and Hassan had a collection of 240 magnets at first. Then Hassan borrowed 1/5 of the number of magnets that Joy had. Later, Hassan lent out 1/4 of the number of magnets that he had to Joy. Finally, Joy gave 40 magnets to Hassan. In the end, Joy had 26 magnets fewer than Hassan. How many magnets did Hassan have at first?
Q18
Structured
Anna and Bella had a total of 330 coloured papers. Bella had 20 more coloured papers than Anna. Anna used 3 times as many coloured papers Bella and was left with half the amount of coloured papers that Bella had left
(a) How many coloured papers did Bella have at the beginning?
(b) How many coloured papers did Anna have at last?
Q18
Open-ended
1 mark
Express 0.22 as a percentage.
Q19
Open-ended
1 mark
🖼 Visual
Extend the tessellation by drawing 1 more unit shape in the space provided within the dot diagram.
Q20
Open-ended
1 mark
🖼 Visual
How many line(s) of symmetry does this figure have?
Q21
Open-ended
1 mark
🖼 Visual
The figure below shows an incorrectly drawn net of a pyramid.
Put an 'X' on the part which is wrongly drawn and should be removed.
Q22
Open-ended
1 mark
What is the value of 8p/3 when p = 5?
Q23
Open-ended
1 mark
3 x 7 – 10 + 54 ÷ 9 = □
What is the missing value in the box?
Q24
Open-ended
1 mark
Mike had 360 picture cards. He gave 5/6 of them to his sister. How many picture cards had he left?
Q25
Open-ended
1 mark
🖼 Visual
The graph below shows the number of patients at a clinic from Monday to Sunday.
On which day was the number of patients 1 1/2 times that of Saturday?
Q26
Open-ended
2 marks
🖼 Visual
The graph below that shows the temperature from 6am to 6pm on Sunday.
What is the average temperature from 6am to 6pm on Sunday?
Give your answer correct to one decimal place.
Q27
Open-ended
2 marks
The ratio of Tina's mass to Farah's mass to Ginny's mass is 3 : 5 : 7. Tina is 16 kg lighter than Ginny, find the total mass of the three girls.
Q28
Open-ended
2 marks
Roy has 4y marbles. Ken has thrice as many marbles as Roy. Don has 8 marbles less than Ken. How many marbles do they have altogether?
Q29
Open-ended
2 marks
🖼 Visual
The figure below is not drawn to scale. Triangle ABC is an isosceles triangle and the perimeter is 14 cm. Find the area of Triangle ABC.
Q30
Open-ended
2 marks
🖼 Visual
The figure below consists of a square and a circle with diameter of 8 cm. What is the area of the shaded part? Leave your answer in terms of π.