Mathematics Full Syllabus Tests (Total - 110) for Class 10 CBSE

Test 001 - Mathematics Full Syllabus

CBSE Class 10 Pattern | Time: 3 Hours | Maximum Marks: 80

General Instructions: All questions are compulsory. Use of calculator is not allowed. Draw neat diagrams wherever required.

Section A - MCQ (1 mark each)

Q1. If x = 4 and y = 3, then the value of 2x + 3y is:

A. 15
B. 16
C. 17
D. 18

Q2. The value of (6)^2 - (5)^2 is:

A. 9
B. 10
C. 11
D. 12

Q3. For a right triangle with sides 3 cm and 4 cm, the hypotenuse is:

A. 3
B. 4
C. 5
D. 6

Q4. If the common difference of an AP is 7 and first term is 3, then second term is:

A. 8
B. 9
C. 10
D. 11

Q5. The zero of the polynomial x - 8 is:

A. 6
B. 7
C. 8
D. 9

Q6. If x = 2 and y = 3, then the value of 2x + 3y is:

A. 11
B. 12
C. 13
D. 14

Q7. The value of (5)^2 - (4)^2 is:

A. 7
B. 8
C. 9
D. 10

Q8. For a right triangle with sides 3 cm and 4 cm, the hypotenuse is:

A. 3
B. 4
C. 5
D. 6

Q9. If the common difference of an AP is 6 and first term is 3, then second term is:

A. 7
B. 8
C. 9
D. 10

Q10. The zero of the polynomial x - 6 is:

A. 4
B. 5
C. 6
D. 7

Q11. If x = 7 and y = 3, then the value of 2x + 3y is:

A. 21
B. 22
C. 23
D. 24

Q12. The value of (4)^2 - (3)^2 is:

A. 5
B. 6
C. 7
D. 8

Q13. For a right triangle with sides 3 cm and 4 cm, the hypotenuse is:

A. 3
B. 4
C. 5
D. 6

Q14. If the common difference of an AP is 5 and first term is 3, then second term is:

A. 6
B. 7
C. 8
D. 9

Q15. The zero of the polynomial x - 4 is:

A. 2
B. 3
C. 4
D. 5

Q16. If x = 5 and y = 3, then the value of 2x + 3y is:

A. 17
B. 18
C. 19
D. 20

Q17. The value of (3)^2 - (2)^2 is:

A. 3
B. 4
C. 5
D. 6

Q18. For a right triangle with sides 3 cm and 4 cm, the hypotenuse is:

A. 3
B. 4
C. 5
D. 6

Q19. If the common difference of an AP is 4 and first term is 3, then second term is:

A. 5
B. 6
C. 7
D. 8

Q20. The zero of the polynomial x - 2 is:

A. 0
B. 1
C. 2
D. 3

Section B - Very Short Answer (2 marks each)

Q21. Solve and show steps: 2x + 4 = 15.

Q22. Solve and show steps: 2x + 5 = 16.

Q23. Solve and show steps: 2x + 6 = 17.

Q24. Solve and show steps: 2x + 7 = 18.

Q25. Solve and show steps: 2x + 8 = 19.

Q26. Solve and show steps: 2x + 9 = 11.

Section C - Short Answer (3 marks each)

Q27. A sum of Rs 6000 is invested at simple interest. Find the interest for 2 years at 9% p.a.

Q28. A sum of Rs 7000 is invested at simple interest. Find the interest for 2 years at 10% p.a.

Q29. A sum of Rs 2000 is invested at simple interest. Find the interest for 2 years at 6% p.a.

Q30. A sum of Rs 3000 is invested at simple interest. Find the interest for 2 years at 7% p.a.

Q31. A sum of Rs 4000 is invested at simple interest. Find the interest for 2 years at 8% p.a.

Q32. A sum of Rs 5000 is invested at simple interest. Find the interest for 2 years at 9% p.a.

Section D - Long Answer (5 marks each)

Q33. Prove and apply: In a right triangle, verify Pythagoras theorem for sides generated in Test 001.

Q34. Prove and apply: In a right triangle, verify Pythagoras theorem for sides generated in Test 001.

Q35. Prove and apply: In a right triangle, verify Pythagoras theorem for sides generated in Test 001.

Q36. Prove and apply: In a right triangle, verify Pythagoras theorem for sides generated in Test 001.

Q37. Prove and apply: In a right triangle, verify Pythagoras theorem for sides generated in Test 001.

Q38. Prove and apply: In a right triangle, verify Pythagoras theorem for sides generated in Test 001.

Section E - Case Study (4 marks each)

Q39. Case study: A school records marks of 40 students in Mathematics. Prepare grouped data and answer the related sub-questions.

Q40. Case study: A school records marks of 40 students in Mathematics. Prepare grouped data and answer the related sub-questions.