Home/
Competitive Exams/
JEE Main & Advanced/
Physics/
Mathematics Mock Test 3/
Practice
Competitive Practice

Mathematics Mock Test 3 Practice

Start the live physics subject mock, then use the result screen to retry, take the next mock, or practice weak topics.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Subject Mock Test

JEE Main & Advanced Physics Mathematics Mock Test 3

This subject-wise test sits between chapter-wise questions and a full mock so students can validate retention across multiple topics before moving deeper into exam simulation.

Questions
30
Time
35 min
Coverage
Physics mixed topics
Back to Physics
Preview all 30 questions in JEE Main & Advanced Physics Mathematics Mock Test 3 (no login required)
  1. JEE Maths High-Yield Mixed Drills

    1. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,6} is:

    • A. 6
    • B. 30
    • C. 36 (Correct)
    • D. 12

    Explanation: There are 6 choices for a and 6 choices for b, so total = 6 x 6 = 36.

  2. JEE Maths High-Yield Mixed Drills

    2. If f(x) = 5x^2 + 1x + 5, then f'(x) is:

    • A. 5x^2 + 1
    • B. 10x + 1 (Correct)
    • C. 5x + 1
    • D. 10x

    Explanation: Differentiate term-wise: d(5x^2)/dx = 10x and d(1x)/dx = 1.

  3. JEE Maths High-Yield Mixed Drills

    3. The value of integral from 0 to 1 of 2x dx is:

    • A. 2/2 (Correct)
    • B. 2
    • C. 4
    • D. 1/2

    Explanation: Integral 2x dx from 0 to 1 = 2[x^2/2]_0^1 = 2/2.

  4. JEE Maths High-Yield Mixed Drills

    4. Distance between (2,1) and (5,5) is:

    • A. 4
    • B. 3
    • C. 7
    • D. 5 (Correct)

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  5. JEE Maths High-Yield Mixed Drills

    5. In an AP, first term is 5 and common difference is 3. The 10th term is:

    • A. 35
    • B. 18
    • C. 32 (Correct)
    • D. 29

    Explanation: a_n = a + (n - 1)d = 5 + 9 x 3 = 32.

  6. JEE Maths High-Yield Mixed Drills

    6. A quadratic has roots 5 and 8. Its equation is:

    • A. x^2 + 40x - 13 = 0
    • B. x^2 - 13x + 40 = 0 (Correct)
    • C. x^2 + 13x + 40 = 0
    • D. x^2 - 40x + 13 = 0

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  7. JEE Maths High-Yield Mixed Drills

    7. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,4} is:

    • A. 16 (Correct)
    • B. 8
    • C. 4
    • D. 12

    Explanation: There are 4 choices for a and 4 choices for b, so total = 4 x 4 = 16.

  8. JEE Maths High-Yield Mixed Drills

    8. If f(x) = 3x^2 + 1x + 5, then f'(x) is:

    • A. 3x + 1
    • B. 6x
    • C. 3x^2 + 1
    • D. 6x + 1 (Correct)

    Explanation: Differentiate term-wise: d(3x^2)/dx = 6x and d(1x)/dx = 1.

  9. JEE Maths High-Yield Mixed Drills

    9. The value of integral from 0 to 1 of 3x dx is:

    • A. 6
    • B. 1/3
    • C. 3/2 (Correct)
    • D. 3

    Explanation: Integral 3x dx from 0 to 1 = 3[x^2/2]_0^1 = 3/2.

  10. JEE Maths High-Yield Mixed Drills

    10. Distance between (2,1) and (5,5) is:

    • A. 7
    • B. 5 (Correct)
    • C. 4
    • D. 3

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  11. JEE Maths High-Yield Mixed Drills

    11. In an AP, first term is 6 and common difference is 3. The 8th term is:

    • A. 27 (Correct)
    • B. 24
    • C. 30
    • D. 17

    Explanation: a_n = a + (n - 1)d = 6 + 7 x 3 = 27.

  12. JEE Maths High-Yield Mixed Drills

    12. A quadratic has roots 3 and 6. Its equation is:

    • A. x^2 + 9x + 18 = 0
    • B. x^2 - 18x + 9 = 0
    • C. x^2 + 18x - 9 = 0
    • D. x^2 - 9x + 18 = 0 (Correct)

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  13. JEE Maths High-Yield Mixed Drills

    13. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,6} is:

    • A. 6
    • B. 30
    • C. 36 (Correct)
    • D. 12

    Explanation: There are 6 choices for a and 6 choices for b, so total = 6 x 6 = 36.

  14. JEE Maths High-Yield Mixed Drills

    14. If f(x) = 5x^2 + 1x + 5, then f'(x) is:

    • A. 5x^2 + 1
    • B. 10x + 1 (Correct)
    • C. 5x + 1
    • D. 10x

    Explanation: Differentiate term-wise: d(5x^2)/dx = 10x and d(1x)/dx = 1.

  15. JEE Maths High-Yield Mixed Drills

    15. The value of integral from 0 to 1 of 4x dx is:

    • A. 4/2 (Correct)
    • B. 4
    • C. 8
    • D. 1/4

    Explanation: Integral 4x dx from 0 to 1 = 4[x^2/2]_0^1 = 4/2.

  16. JEE Maths High-Yield Mixed Drills

    16. Distance between (2,1) and (5,5) is:

    • A. 4
    • B. 3
    • C. 7
    • D. 5 (Correct)

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  17. JEE Maths High-Yield Mixed Drills

    17. In an AP, first term is 2 and common difference is 3. The 10th term is:

    • A. 32
    • B. 15
    • C. 29 (Correct)
    • D. 26

    Explanation: a_n = a + (n - 1)d = 2 + 9 x 3 = 29.

  18. JEE Maths High-Yield Mixed Drills

    18. A quadratic has roots 5 and 8. Its equation is:

    • A. x^2 + 40x - 13 = 0
    • B. x^2 - 13x + 40 = 0 (Correct)
    • C. x^2 + 13x + 40 = 0
    • D. x^2 - 40x + 13 = 0

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  19. JEE Maths High-Yield Mixed Drills

    19. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,4} is:

    • A. 16 (Correct)
    • B. 8
    • C. 4
    • D. 12

    Explanation: There are 4 choices for a and 4 choices for b, so total = 4 x 4 = 16.

  20. JEE Maths High-Yield Mixed Drills

    20. If f(x) = 3x^2 + 1x + 5, then f'(x) is:

    • A. 3x + 1
    • B. 6x
    • C. 3x^2 + 1
    • D. 6x + 1 (Correct)

    Explanation: Differentiate term-wise: d(3x^2)/dx = 6x and d(1x)/dx = 1.

  21. JEE Maths High-Yield Mixed Drills

    21. The value of integral from 0 to 1 of 5x dx is:

    • A. 10
    • B. 1/5
    • C. 5/2 (Correct)
    • D. 5

    Explanation: Integral 5x dx from 0 to 1 = 5[x^2/2]_0^1 = 5/2.

  22. JEE Maths High-Yield Mixed Drills

    22. Distance between (2,1) and (5,5) is:

    • A. 7
    • B. 5 (Correct)
    • C. 4
    • D. 3

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  23. JEE Maths High-Yield Mixed Drills

    23. In an AP, first term is 2 and common difference is 3. The 8th term is:

    • A. 23 (Correct)
    • B. 20
    • C. 26
    • D. 13

    Explanation: a_n = a + (n - 1)d = 2 + 7 x 3 = 23.

  24. JEE Maths High-Yield Mixed Drills

    24. A quadratic has roots 3 and 6. Its equation is:

    • A. x^2 + 9x + 18 = 0
    • B. x^2 - 18x + 9 = 0
    • C. x^2 + 18x - 9 = 0
    • D. x^2 - 9x + 18 = 0 (Correct)

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

  25. JEE Maths High-Yield Mixed Drills

    25. Number of ordered pairs (a,b) with a,b chosen from {1,2,...,6} is:

    • A. 6
    • B. 30
    • C. 36 (Correct)
    • D. 12

    Explanation: There are 6 choices for a and 6 choices for b, so total = 6 x 6 = 36.

  26. JEE Maths High-Yield Mixed Drills

    26. If f(x) = 5x^2 + 1x + 5, then f'(x) is:

    • A. 5x^2 + 1
    • B. 10x + 1 (Correct)
    • C. 5x + 1
    • D. 10x

    Explanation: Differentiate term-wise: d(5x^2)/dx = 10x and d(1x)/dx = 1.

  27. JEE Maths High-Yield Mixed Drills

    27. The value of integral from 0 to 1 of 5x dx is:

    • A. 5/2 (Correct)
    • B. 5
    • C. 10
    • D. 1/5

    Explanation: Integral 5x dx from 0 to 1 = 5[x^2/2]_0^1 = 5/2.

  28. JEE Maths High-Yield Mixed Drills

    28. Distance between (2,1) and (5,5) is:

    • A. 4
    • B. 3
    • C. 7
    • D. 5 (Correct)

    Explanation: Distance = sqrt(3^2 + 4^2) = 5.

  29. JEE Maths High-Yield Mixed Drills

    29. In an AP, first term is 3 and common difference is 3. The 10th term is:

    • A. 33
    • B. 16
    • C. 30 (Correct)
    • D. 27

    Explanation: a_n = a + (n - 1)d = 3 + 9 x 3 = 30.

  30. JEE Maths High-Yield Mixed Drills

    30. A quadratic has roots 5 and 8. Its equation is:

    • A. x^2 + 40x - 13 = 0
    • B. x^2 - 13x + 40 = 0 (Correct)
    • C. x^2 + 13x + 40 = 0
    • D. x^2 - 40x + 13 = 0

    Explanation: For roots alpha and beta, equation is x^2 - (alpha+beta)x + alpha beta = 0.

Subject Mock Banner
Physics Mock Test Banner

High-intent ad placement around the subject mock decision and review flow.