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JAMB Mathematics · Algebra

Variation: JAMB Mathematics Past Questions and Answers

What the JAMB syllabus covers in Variation

Our summary: How one quantity changes with another: direct, inverse, joint and partial variation.

  • Direct
  • Inverse
  • Joint
  • Partial
  • Percentage increase and decrease

Objectives

  • Solve problems involving direct, inverse, joint and partial variations
  • Solve problems on percentage increase and decrease in variation

Syllabus content © The Joint Admissions and Matriculation Board (UTME).

JAMB Mathematics questions on Variation

  1. JAMB 2025P is partly constant and varies partly as Q. If P = 32 when Q = 16 and P = 20 when Q = 12, find P when Q = 28
  2. JAMB 2025A varies directly as b ^2 when A = 4, b = 1. Find A when b = 2
  3. JAMB 2025Y is partly constant and partly varies as x. When x = 3, y = 7 and when x = 5, y = 11. Find the constants of variation.
  4. JAMB 2024y is inversely proportional to x and y = 4, when x = 1/2 , find x when y = 10
  5. JAMB 2024If B varies inversely as c ^ 1/3 and C = 27 when B = 2, find the value of the constant of proportionality K.
  6. JAMB 2024If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y
  7. JAMB 2024U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.
  8. JAMB 2023It takes 12 men 8 hours a day to finish a piece of work in 4 days. In how many days will it take 4 men working 16 hours a day to complete the same piece of…
  9. JAMB 2022If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12
  10. JAMB 2022The cost C of running a school is directly proportional to the number of students N, if 20 students cost 10,000, How many students can 1,000,000 cover?
  11. JAMB 2021If w varies inversely as uv/u + v and w = 8 when u = 2 and v = 6, find a relationship between u, v, w.
  12. JAMB 2019If M varies directly as N and inversely as the root of P. Given that M = 3, N = 5 and P = 25. Find the value of P when M = 2 and N = 6.
  13. JAMB 2019If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.
  14. JAMB 2017A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old…
  15. JAMB 2017If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J
  16. JAMB 2015The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension…
  17. JAMB 2014y varies directly as w2. When y = 8, w = 2. Find y when w = 3
  18. JAMB 2014P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.
  19. JAMB 2013P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = 8/5
  20. JAMB 2012If y varies directly as √n and y = 4 when n = 4, find y when n = 1 7/9
  21. JAMB 2012U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3
  22. JAMB 2011If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1 7/9
  23. JAMB 2011T varies inversely as the cube of R. When R = 3, T = 2/81 , find T when R = 2
  24. JAMB 2010If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64
  25. JAMB 2010W is directly proportional to U. If W = 5 when U = 3, find U when W = 2/7
  26. JAMB 2010If x is inversely proportional to y and x = 2 1/2 when y = 2, find x if y = 4

Years with Variation questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2019
  • 2017
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
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