Class 6 Mathematics : Sample Paper - 2

General Instructions

All questions are compulsory.

• Section A comprises 12 questions carrying 1 mark each.
• Section B comprises 10 questions carrying 2 marks each.
• Section C comprises 8 questions carrying 3 marks each.
• Section D comprises 2 questions carrying 5 marks each.

Q1: A rectangle has a length of 12 cm and a width of 5 cm. What is its area?  (1 mark)
(a) 30 cm²
(b) 40 cm²
(c) 60 cm²
(d) 70 cm²

Q2: A submarine is 120 meters below sea level. If it ascends 50 meters, what is its new position?   (1 mark)
(a) -170 m
(b) -70 m
(c) 70 m
(d) 170 m

Q3: Which fraction is the largest?   (1 mark)
(a) 2/5 
(b) 3/8
(c) 1/2
(d) 4/9

Q4: Which of the following represents the shortest distance between two points?   (1 mark)
(a) A line
(b) A line segment
(c) A ray
(d) A curve

Q5: Which of the following statements is true?  (1 mark)
(a) All prime numbers are odd
(b) 1 is a prime number
(c) Every number greater than 1 can be written as a product of prime numbers
(d) Composite numbers have only two factors

Q6: What is the benefit of reading pictographs and bar graphs accurately?  (1 mark)
(a) It helps to make inferences about the data presented
(b) It makes the graph look more colorful
(c) It avoids using numbers in calculations
(d) It eliminates the need for data collection

Q7: Which instrument is used to measure angles?  (1 mark)
(a) Ruler
(b) Compass
(c) Protractor
(d) Divider

Q8: What is the sum of -15 and 9?  (1 mark)
(a) -24
(b) -6
(c) 6
(d) 24 

Q9: Which of the following is a prime number?   (1 mark)
(a) 12
(b) 15
(c) 17
(d) 18

Q10: Reduce 12/18 to its lowest terms.  (1 mark)
(a) 3/5
(b) 2/3
(c) 4/9
(d) 6/9

Q11: Which number should come next? 
5, 10, 20, 40, __?  (1 mark)
(a) 50
(b) 60
(c) 80
(d) 100

Q12: The center of rotation is the point around which a shape is rotated. Which shape always has its center of rotation at the center of the shape?     (1 mark)
(a) Rectangle
(b) Equilateral triangle
(c) Square
(d) All of the above

Q13: Read and Answer the Pictograph Questions    (2 marks)

(i) Who picked the most apples? ________________
(ii) Which two children picked the same amount? ________________
(iii) Who picked the least amount of apples? ________________
(iv) How many more apples did Hannah pick than Andrew? ________________

Q14:  Do you see any Line of symmetry in the figures given below?    (2 marks)

Q15: By imagining a large version of your picture, or drawing it partially, can you see what the value will be for 1 + 2 + 3 + ... + 99 + 100 + 99 + ... + 3 + 2 + 1?  (2 marks)

Q16: A rectangle has a length of 12 m and a width of 8 m. Find its perimeter.    (2 marks)

Q17: Below is a sequence of matchstick patterns. Observe the pattern carefully and continue it forward. also, give number pattern for the same : 

Q18: A diver is swimming 5 meters below sea level. He then dives 3 meters deeper. What is his new depth?    (2 marks)

Q19: Identify the type of angle formed between the hands of each clock:  (2 marks)

Q20: Number of right angles turned by the hour hand of a clock when it goes from 3 to 6.  (2 marks)

Q21: Write the fraction representing the shaded portion.   (2 marks)

(i)

(ii)

Q22: Explain why 343 is a palindrome.  (2 marks)

Q23: Which of the following pairs of numbers are co-prime?   (3 marks)
(a) 21 and 44

​(b) 25 and 49

​(c) 36 and 90

Q24:  Complete the number pattern shown in the stars and justify your answer.   (3 marks)

Q25:  Find the area of the shape below:   (3 marks)

​Q26: A miner is working in a mineshaft. The entrance of the mineshaft is at 0 meters (ground level).      (3 marks)
(A) He descends 15 meters into the mine. What is his position now?
(B) Then, he climbs up 7 meters. What is his new position?
(C) Later, he descends 10 more meters. Where is he now?

​Q27: A rectangular billboard is 150 m long and 50 m wide. If a company wants to cover the entire board with an advertisement that costs ₹5 per square meter, what will be the total cost?   (3 marks)

Q28: Represent 5/8 and 3/8 ​on the number line.     (3 marks)

​Q29: Subtract (-25) from the sum of 15 and 35.    (3 marks)

Q30: Which of the following figure has a greater perimeter?    (3 marks)

Q31: The following tally marks table shows data for a card drawn from a well-shuffled deck of cards:    (5 marks)

Answer the following questions:
(i) From which suit are the cards drawn the maximum times?
(ii) From which suit are the cards drawn the minimum times?
(iii) How many total cards were drawn?
(iv) How many more spade cards are drawn than club cards?
(v) Which two suits were drawn same number of times?

​Q32: On the number line mark the following numbers : 5, 0, -3, -9   (5 marks)