P6 Mathematics CA1 2016 — Rosyth

Q: In the numeral 642 051, the value of digit 2 is ____.

C. 2000. In 642 051, the digit 2 is in the thousands place, so its value is 2 × 1000 = 2000.

Q: 21/28 = 12/[ ? ]. What is the missing number in the box?

A. 16. 21/28 simplifies to 3/4. Writing 12 over the box: 3/4 = 12/16, so the missing number is 16.

Q: Find the area of triangle UVW.

A. 36 cm². Taking base VW = 8 cm with the perpendicular height of 9 cm (the dashed perpendicular from the base to U), area = ½ × 8 × 9 = 36 cm².

Q: Given that the ratio of a : b = 2 : 3, b : c = 4 : 7, find the ratio of a : c.

B. 8 : 21. Make b common: a:b = 2:3 = 8:12, b:c = 4:7 = 12:21. So a:c = 8:21.

Q: What is the percentage decrease when a number is reduced from 25 to 20?

A. 20%. Decrease = 25 − 20 = 5. Percentage decrease = 5/25 × 100% = 20%.

Q: The bar graph below shows the total number of Primary 6 pupils enrolled in the different classes in ASPIRE Primary School. Which two classes has the number of pupils in the ratio of 1 : 2?

B. 6E : 6C. From the bars, 6E = 20 pupils and 6C = 40 pupils, giving 20 : 40 = 1 : 2.

Q: A rectangle has an area of 24n cm². Its length is 6 cm. Calculate its perimeter.

D. (8n + 12) cm. Width = area ÷ length = 24n ÷ 6 = 4n cm. Perimeter = 2(length + width) = 2(6 + 4n) = (8n + 12) cm.

Q: In the figure below, Charlie is standing at the point marked A. He is facing the school gate. What will he face when he turns 135° clockwise?

A. Canteen. Facing the School Gate (east) and turning 135° clockwise passes General office (45°), Bookshop (90°) and lands on the Canteen (135°).

Q: The base of triangle PQR is PQ. What is the corresponding height of triangle PQR?

C. RT. The height corresponding to base PQ is the perpendicular distance from the opposite vertex R to line PQ, which is RT (RT is marked perpendicular to PQ).

Q: The figure is made up of a 28 cm square and three quarter of a circle. The centre of the circle is O. Find the area of the shaded part shown below. (Use π = 22/7)

C. 1848 cm². The shaded part is three-quarters of a circle of radius 28 cm. Area = ¾ × 22/7 × 28 × 28 = ¾ × 2464 = 1848 cm².

P6 Mathematics 2016 CA1 48 questions 100 marks

Source: Rosyth, 2016

This P6 Mathematics CA1 paper from Rosyth (2016) covers measurement, area and perimeter, money, geometry and angles, ratio and fractions 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.

← More P6 Maths past-year papers

Q1 Structured 2 marks 🖼 Visual

(Paper 2) In the number line below, S represents 2/5, U represents 2/3. ST = TU. What fraction is represented by T?

Q1 MCQ 1 mark

In the numeral 642 051, the value of digit 2 is ____.

Q2 Structured 2 marks 🖼 Visual

(Paper 2) The figure is made up of 4 semi-circles of different radius as shown in the diagram. The line AB is 20 cm. Find the perimeter of the figure. (Take π = 3.14)

Q2 MCQ 1 mark

21/28 = 12/[ ? ]. What is the missing number in the box?

Q3 Structured 2 marks

(Paper 2) Kim, Melinda and Noel share some beads in the ratio 7 : 4 : 2. Kim has 65 more beads than Noel. How many beads does Melinda have?

Q3 MCQ 1 mark

Express 1.2 as a percentage.

Q4 Structured 2 marks 🖼 Visual

(Paper 2) In the figure not drawn to scale, AC and DF are straight lines. Find ∠FBC.

Q4 MCQ 1 mark 🖼 Visual

Find the area of triangle UVW.

Q5 MCQ 1 mark

Given that the ratio of a : b = 2 : 3, b : c = 4 : 7, find the ratio of a : c.

Q5 Structured 2 marks 🖼 Visual

(Paper 2) The figure below is made up of a square and a triangle. The triangle has an area of 128 cm². Find the perimeter of the square.

Q6 Structured 3 marks

(Paper 2) Siti rented a car for 2 days. She was charged $160 per day and $2 for every kilometre that she travelled. She paid $548. What was the total distance she travelled for the 2 days?

Q6 MCQ 1 mark

What is the percentage decrease when a number is reduced from 25 to 20?

Q7 MCQ 1 mark 🖼 Visual

The bar graph below shows the total number of Primary 6 pupils enrolled in the different classes in ASPIRE Primary School. Which two classes has the number of pupils in the ratio of 1 : 2?

Q7 Structured 3 marks

(Paper 2) The chairs in a school hall were arranged in rows. There were 14 rows of 3w chairs in each row and there were 5 remaining chairs. (a) Express the total number of chairs in the school hall in terms of w. (b) If w = 9, how many chairs are there in the hall?

Q8 MCQ 1 mark

A rectangle has an area of 24n cm². Its length is 6 cm. Calculate its perimeter.

Q8 Structured 3 marks 🖼 Visual

(Paper 2) During a sale, Keith bought a laptop at a discount of 15%. The usual price of a laptop was $2 890. The GST was 7% of the discounted price. How much GST did Keith pay? Round off your answer to the nearest 10-cent.

Q9 MCQ 1 mark 🖼 Visual

In the figure below, Charlie is standing at the point marked A. He is facing the school gate. What will he face when he turns 135° clockwise?

Q9 Structured 3 marks 🖼 Visual

(Paper 2) The figure below is made up of a rectangle ABCD and a semi-circle. E and F are mid-points of AD and BC respectively. The line BC is 16 cm and EO is half of EF. Find the area of the shaded part of the figure. (Take π = 3.14)

Q10 Structured 3 marks 🖼 Visual

(Paper 2) A rectangular piece of paper is folded to form the figure shown below. The area of the shaded triangle is 18 cm². What is the area of the rectangular piece of paper before it was folded?

Q10 MCQ 1 mark 🖼 Visual

The base of triangle PQR is PQ. What is the corresponding height of triangle PQR?

Q11 MCQ 2 marks 🖼 Visual

The figure is made up of a 28 cm square and three quarter of a circle. The centre of the circle is O. Find the area of the shaded part shown below. (Use π = 22/7)

Q11 Structured 4 marks 🖼 Visual

(Paper 2) The figure below, not drawn to scale, shows a circle with centre O, with a diameter of 14 cm. ABCD and AOBT are squares. Find the total area of the shaded portions of the figure. (Take π = 22/7)

Q12 Structured 4 marks

(Paper 2) Jesse and Murni went shopping with a total amount of $237. Jesse spent twice as much as Murni. The amount Murni had left was $23 more than what she had spent. She had twice as much money left as Jesse. (a) How much money did Jesse spend? (b) How much money did Murni have at first?

Q12 MCQ 2 marks

2/3 of Sophia's money is equal to 3/4 of Benny's. Express Benny's money as a fraction of the total sum of money.

Q13 Structured 4 marks 🖼 Visual

(Paper 2) A pattern was formed by arranging matchsticks in the manner shown below. (a) How many matchsticks are there in row 7? (b) Which row will have 40 matchsticks? (c) How many matchsticks will I need altogether to form a total of 15 rows?

Q13 MCQ 2 marks

Carol, Shirley and Julia shared $500 in the ratio 2 : 5 : 3. Shirley spent $120 of her share of money. How much money had she left?

Q14 MCQ 2 marks 🖼 Visual

The figure is made up of 2 identical semi-circles of radius 10 cm. O is the centre of one of the semi-circle as shown below. Find the perimeter of the figure in terms of π.

Q14 Structured 4 marks 🖼 Visual

(Paper 2) The figure below shows two squares ABCD and DEFG. The figure CDEF has an area of 150 cm². The length AE = ED. KJ is 8 cm and KL is 12 cm. Find the area of the shaded parts.

Q15 MCQ 2 marks

A maximum capacity for 14 adults or 21 children can enter a lift at a time. After 2 adults and 15 children have entered the lift, what is the maximum number of children who can still enter the lift?

Q15 Structured 4 marks

(Paper 2) The value of $2 notes in Alynna's wallet is equal to the value of $5 notes in Si Qi's wallet. Si Qi spent $60 and the ratio of the number of notes in Alynna's wallet to the number of notes in Si Qi's wallet became 25 : 6. How much money was in Alynna's wallet?

Q16 Structured 5 marks

(Paper 2) ABC bakery sells cupcake at $2.80 each. For every 10 cupcakes bought, a 10% discount will be given. (a) Eunike bought 10 cupcakes. How much discount did she get? (b) Si Qi bought some cupcakes from the bakery. She paid $149.80 inclusive of the 7% GST for all her cupcakes. How many cupcakes did she buy altogether?

Q16 Open-ended 1 mark

Find the quotient when 6024 is divided by 6.

Q17 Structured 5 marks

(Paper 2) Candy had some sweets. She gave 3/10 of them to Harley and 2/5 of the remainder to Kumar. She had 252 sweets left. (a) How many sweets did Candy have at first? (b) Candy packed all the sweets she wanted to give to Kumar into bags of 12 each. How many bags would she need to pack all the sweets?

Q17 Open-ended 1 mark

Find the value of 7/9 ÷ 5.

Q18 Structured 5 marks

(Paper 2) In a shop, apples are packed in bags of 8, oranges in bags of 5 and pears in bags of 3. Jermaine, Karen and Linda each bought an equal number of bags of fruits. Jermaine and Karen bought both apples and pears while Linda bought oranges only. a(i) Jermaine bought 2 more bags of pears than apples while Karen bought 2 more bags of apples than pears. Who bought more fruits in total? (ii) How many more? (b) Linda counted all her oranges and Jermaine counted all her apples and pears. Linda had 2 more fruit than Jermaine. How many bags of fruits did the 3 girls buy in all?

Q18 Open-ended 1 mark 🖼 Visual

In the figure below, ABC is a straight line and DBF are straight lines. Name the angle which has the same value as angle x.

Q19 Open-ended 1 mark

Express 20 min as a fraction of 3 hours. Give your answer in the simplest form.

Q20 Open-ended 1 mark

There are some red and blue marbles in a box. There are 3/5 as many red marbles as blue marbles. Find the ratio of the number of red marbles to the total number of marbles.

Q21 Open-ended 1 mark

Sean's luggage weighs 12.3 kg. Muthu's luggage is 940 g lighter than Sean's. What is the mass of Muthu's luggage? Express your answer in kilogrammes and grams.

Q22 Open-ended 1 mark

The average of 3 numbers is 3y. One of the numbers is y and another number is 5. Express the third number in terms of y in the simplest form.

Q23 Open-ended 1 mark

Express 4.5% as a decimal.

Q24 Open-ended 1 mark 🖼 Visual

The 2 figures shown have a line of symmetry XY. Shade the minimum number of squares such that the 2 figures are symmetrical to each other.

Q25 Open-ended 1 mark 🖼 Visual

The graph below shows the number of dengue cases in Lorong Lew Lian from January 2015 to April 2015. What is the difference in the number of dengue cases between February and March?

Q26 Structured 2 marks 🖼 Visual

The graph shows the number of stars Mr Wong gave to the pupils in his class during week 1 of school. What was the total number of stars Mr Wong gave to his class?

Q27 Structured 2 marks

Rosemary paid $7.20 for 6 pencils and a number of erasers. Each pencil cost w cents and each eraser cost twice as much. How much did she pay for the erasers? Give the answer in terms of w in the simplest form.

Q28 Structured 2 marks 🖼 Visual

The figure below shows 2 identical equilateral triangles CDE and FGH which overlapped each other. The length DF, FE and EH are equal. The area of the figure is 49 cm². Find the area of the triangle CDE.

Q29 Structured 2 marks 🖼 Visual

The shape [an L/flag-shaped tile] can be tessellated. One of the shapes does not fit into the tessellation shown below. Shade it.

Q30 Structured 2 marks 🖼 Visual

In the figure below, the shaded and unshaded parts form a square QRST of side 25 cm. XAB and YCD are quadrants of radius 10 cm. Find the area of the shaded part. (Take π = 3.14)

Related Sparks

Why You Can't Divide by Zero

Understanding Fractions

Long Division

Multiplication Table Memory Tricks

P6 Mathematics CA1 2016 — Rosyth

Related papers

Related Sparks

Related reads