Class 7 Mathematics Sample Paper Set 2 — Free PDF
This mathematics sample paper tests competency in numbers, algebra, geometry, and data handling. It follows CBSE Class 7 curriculum and includes problems o
TL;DR: This mathematics sample paper tests competency in numbers, algebra, geometry, and data handling. It follows CBSE Class 7 curriculum and includes probl…
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This mathematics sample paper tests competency in numbers, algebra, geometry, and data handling. It follows CBSE Class 7 curriculum and includes problems of varying difficulty levels.
Board: CBSE · Class: Class 7 · Subject: Mathematics · Total: 80 marks · Time: 3 hours
Section A: Arithmetic and Algebra — 25 marks
Solve the following problems. Show all working.
Q1. Simplify: 3/4 + 5/6 - 1/2 (5 marks)
Answer: 3/4 + 5/6 - 1/2 = 9/12 + 10/12 - 6/12 = 13/12 = 1 1/12
Q2. Solve for x: 2x + 7 = 19 (5 marks)
Answer: 2x = 19 - 7 = 12, x = 6
Q3. Find the value of 5^3 - 3^2 + 2^4 (5 marks)
Answer: 5^3 = 125, 3^2 = 9, 2^4 = 16. Therefore, 125 - 9 + 16 = 132
Q4. What is 15% of 200? (5 marks)
Answer: 15% of 200 = (15/100) × 200 = 30
Q5. Solve: 3x - 5 = x + 7 (5 marks)
Answer: 3x - x = 7 + 5, 2x = 12, x = 6
Section B: Geometry — 25 marks
Answer geometry questions with proper reasoning.
Q1. Find the area of a rectangle with length 12 cm and breadth 8 cm. (5 marks)
Answer: Area = length × breadth = 12 × 8 = 96 square cm
Q2. What is the sum of interior angles of a triangle? (5 marks)
Answer: The sum of interior angles of a triangle is 180 degrees.
Q3. Find the perimeter of a square with side 10 cm. (5 marks)
Answer: Perimeter = 4 × side = 4 × 10 = 40 cm
Q4. Calculate the area of a circle with radius 7 cm (use π = 22/7). (5 marks)
Answer: Area = πr^2 = (22/7) × 7 × 7 = 22 × 7 = 154 square cm
Q5. If two angles of a triangle are 50 degrees and 60 degrees, find the third angle. (5 marks)
Answer: Third angle = 180 - 50 - 60 = 70 degrees
Section C: Data Handling and Mensuration — 30 marks
Interpret data and solve problems related to measurement.
Q1. The heights of 5 students are 150, 155, 160, 152, 158 cm. Find the mean height. (5 marks)
Answer: Mean = (150 + 155 + 160 + 152 + 158) / 5 = 775 / 5 = 155 cm
Q2. Find the median of the dataset: 10, 20, 15, 25, 30 (5 marks)
Answer: Arranging in order: 10, 15, 20, 25, 30. Median = 20 (middle value)
Q3. What is the volume of a cuboid with length 5 cm, breadth 4 cm, and height 3 cm? (5 marks)
Answer: Volume = length × breadth × height = 5 × 4 × 3 = 60 cubic cm
Q4. If a cylinder has radius 5 cm and height 10 cm, find its surface area (use π = 3.14). (5 marks)
Answer: Curved surface area = 2πrh = 2 × 3.14 × 5 × 10 = 314 square cm. Total surface area = 314 + 2π(5^2) = 314 + 157 = 471 square cm
Q5. The range of a dataset is 50. If the smallest value is 10, what is the largest value? (5 marks)
Answer: Range = Largest value - Smallest value. 50 = Largest - 10. Largest value = 60
Q6. Find the probability of rolling a 5 on a standard six-sided die. (5 marks)
Answer: Probability = Number of favorable outcomes / Total outcomes = 1/6
FAQs
Can I use a calculator for this exam?
A calculator may be used for complex calculations, but basic arithmetic should be done manually as per your schools guidelines.
Is all of Class 7 mathematics covered in this paper?
Yes, the sample paper covers major topics from the entire Class 7 mathematics curriculum.
How much time should I spend on each section?
Allocate approximately 50 minutes for each section of 25 marks and 60 minutes for the final section of 30 marks.
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