Class 6 Mathematics: Sample Paper -3 | Sample Papers For Class 6 PDF Download

 General Instructions:

• All questions are compulsory.
• Section A comprises 12 questions carrying 1 mark each.
• Section B comprises 12 questions carrying 2 marks each.
• Section C comprises 8 questions carrying 3 marks each.
• Section D comprises 5 questions carrying 4 marks each.

Q1: The perimeter of a rectangle is calculated as:    (1 mark)
(a) Length × Width
(b) 2 × (Length + Width)
(c) (Length + Width) / 2
(d) Length × Width × 2

Q2: An elevator is on the 6th floor. It moves down 10 floors. Which floor is it on now?      (1 mark)
(a) 16th floor
(b) -4th floor
(c) 4th floor
(d) -10th floor

Q3: If a shape is rotated 180° around a fixed point and looks the same, it has:    (1 mark)
(a) Reflection symmetry
(b) Line symmetry
(c) Rotational symmetry of order 2
(d) No symmetry

Q4: Convert the mixed fraction into an improper fraction.   (1 mark)
(a) 15/5
(b) 16/5
(c) 17/5
(d) 14/5

Q5: What is the prime factorization of 60?      (1 mark)
(a) 2 × 2 × 3 × 5
(b) 2 × 3 × 5
(c) 2 × 2 × 5 × 7
(d) 3 × 3 × 5

Q6: A triangle has a base of 10 cm and a height of 6 cm. What is its area?     (1 mark)
(a) 30 cm²
(b) 60 cm²
(c) 16 cm²
(d) 40 cm²

Q7: Which of the following shapes has infinite lines of symmetry?     (1 mark)
(a) Square
(b) Rectangle
(c) Circle
(d) Triangle

Q8: The temperature in a city was recorded as -12°C at night and rose by 15°C in the morning. What is the morning temperature?    (1 mark)
(a) -3°C
(b) 3°C
(c) -27°C
(d) 27°C

Q9: Which of the following is a straight angle?     (1 mark)
(a) 45°
(b) 90°
(c) 180°
(d) 360°

Q10: Two numbers are co-prime if they have:    (1 mark)
(a) No common factor other than 1
(b) At least one common factor
(c) Only even factors
(d) Only odd factors

Q11: Which fraction is equivalent to 3/7?   (1 mark)
(a) 6/14
(b) 5/14
(c) 3/14
(d) 4/7

Q12: Which of the following statements about bar graphs is correct?      (1 mark)
(a) They have bars of varying widths
(b) The height or length of the bars represents frequency
(c) The bars must always be horizontal
(d) Bar graphs do not require a scale

Q13:  Why are 2, 5, 9, 14, 20, ... called pentagonal numbers? Why are 1, 6, 12, 18, 24, ... called hexagonal numbers? Why are 1, 4, 10, 20, 35, ... called tetrahedral numbers?   (2 marks)

Q14: Find the remainders obtained when each of the following numbers are divided by      (2 marks)
(i) 85
(ii) 102

Q15: Arrange the following numbers in ascending order on a number line: 1920, 3840, 2760, 4680.     (2 marks)

Q16: How many pieces of length 1/5 will make a length of 2/3?   (2 marks)

Q17: A triangle has three sides measuring 5 cm, 6 cm, and 7 cm. Find its perimeter.    (2 marks)

Q18:  Do you see any Line of symmetry in the figures given below?    (2 marks)

Q19: Construct a four-digit palindrome using the digits 2, 5, and 7, and explain why it works.  (2 marks)

​Q20: Observe the sequence: 11, 22, 33, 44, 55. Extend the pattern to the next two terms and explain. (2 marks)

Q21: What is the sum of 2/3 and 5/7?  (2 marks)

Q22: A tailor wants to put lace around a square tablecloth of side 20 cm. He bought 1 m lace from the market. Find the length of lace left with him after completing the task.  (2 marks)

Q23: Solve the following and fill in the blanks   (3 marks)
(a) (+60) + _______________ = +300
(b) (+80) + _______________ = -250
(c) (-90) + _______________ = +150

Q24: Can you fill in the missing numbers in the ladder? Justify your answer.  (3 marks)

Q25: Following are the marks obtained by 72 students in Geography. Arrange these marks in a table using tally marks. (3 marks)
(a) students obtained more than 6 marks. 
(b) students obtained marks equal to or below 2.

Q26: Identify the Image   (3 marks)

Q27: Read and Answer the Pictograph Questions (3 marks)

(i) How many oranges were picked on Monday?
(ii) When was the maximum number of oranges picked?
(iii) When was the maximum number of oranges picked?

Q28: A lift in a building moves up and down between different floors. The basement is represented by negative numbers, and floors above the ground floor are represented by positive numbers. The ground floor is 0. (3 marks)
(A) A lift starts at the 5th floor and moves down 8 floors. What floor does it reach?
(B) From that floor, it moves up 6 floors. Where is the lift now?
(C) If the lift goes down 4 more floors, which floor will it stop at?

Q29: Suppose you start with ₹0 in your bank account, and then you have debits of ₹3, ₹6, ₹12, ₹24, ₹48, ₹96, and then a single credit of ₹200. What is your bank account balance now?  (3 marks)

​Q30: A farmer wants to fertilize a rectangular field that is 500 m long and 200 m wide. The cost of fertilization is ₹8 per 100 sq. m. What will be the total cost of fertilizing the entire field? (3 marks)

​Q31: 2032 is a leap year (as February has 29 days).  (5 marks)
Leap years occur in years that are multiples of 4, except for those years that are evenly divisible by 100 but not 400.
(a) From the year 2015 till now, which years were leap years?
(b) From the year 2032 till 2100, how many leap years are there?

Q32: Find the perimeter of the shape given: (5 marks)