Class 6 Mathematics Sample Paper — Free PDF
This sample paper introduces fundamental mathematical concepts including numbers, fractions, geometry basics, and data interpretation. It is designed to as
TL;DR: This sample paper introduces fundamental mathematical concepts including numbers, fractions, geometry basics, and data interpretation. It is designed…
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This sample paper introduces fundamental mathematical concepts including numbers, fractions, geometry basics, and data interpretation. It is designed to assess foundational skills in Class 6 mathematics.
Board: CBSE · Class: Class 6 · Subject: Mathematics · Total: 80 marks · Time: 3 hours
Section A: Numbers and Operations — 20 marks
Solve the following number problems.
Q1. Write the place value of 7 in 27,543. (5 marks)
Answer: The place value of 7 in 27,543 is 7,000 (thousands place).
Q2. Add: 234 + 567 + 123 (5 marks)
Answer: 234 + 567 + 123 = 924
Q3. Multiply: 15 × 12 (5 marks)
Answer: 15 × 12 = 180
Q4. Divide: 144 ÷ 12 (5 marks)
Answer: 144 ÷ 12 = 12
Section B: Fractions and Decimals — 20 marks
Work with fractions and decimal numbers.
Q1. Simplify: 8/12 (5 marks)
Answer: 8/12 = 2/3
Q2. Add: 1/4 + 1/2 (5 marks)
Answer: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
Q3. Convert 0.5 to a fraction. (5 marks)
Answer: 0.5 = 5/10 = 1/2
Q4. Which is greater: 3/5 or 1/2? (5 marks)
Answer: 3/5 = 6/10, 1/2 = 5/10. Therefore, 3/5 > 1/2
Section C: Geometry and Measurement — 20 marks
Solve geometry and measurement problems.
Q1. Find the perimeter of a square with side 8 cm. (5 marks)
Answer: Perimeter = 4 × side = 4 × 8 = 32 cm
Q2. What is the area of a rectangle with length 10 cm and width 5 cm? (5 marks)
Answer: Area = length × width = 10 × 5 = 50 square cm
Q3. How many sides does a pentagon have? (5 marks)
Answer: A pentagon has 5 sides.
Q4. Convert 500 grams to kilograms. (5 marks)
Answer: 500 grams = 500/1000 = 0.5 kilograms
Section D: Data and Probability — 20 marks
Interpret and analyze data.
Q1. Find the mean of: 5, 10, 15, 20, 25 (5 marks)
Answer: Mean = (5 + 10 + 15 + 20 + 25) / 5 = 75 / 5 = 15
Q2. What is the mode in this dataset: 2, 3, 3, 4, 5, 5, 5? (5 marks)
Answer: Mode = 5 (appears most frequently)
Q3. If a bag has 3 red balls and 5 blue balls, what is the probability of drawing a red ball? (5 marks)
Answer: Probability = 3 / (3 + 5) = 3/8
Q4. Find the range of the dataset: 10, 20, 25, 35, 40 (5 marks)
Answer: Range = 40 - 10 = 30
FAQs
Is this paper suitable for self-assessment?
Yes, this sample paper is ideal for self-assessment and identifying areas that need more practice.
How difficult is this paper compared to the actual exam?
This sample paper covers a similar difficulty level as the actual CBSE Class 6 examination.
Can parents use this to help their child prepare?
Absolutely, this paper provides a good practice resource for parents to support their childs learning.
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