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Direct and Inverse Variation · CSEC Mathematics

25 past-paper questions on Direct and Inverse Variation, part of ALGEBRA, from every CSEC Mathematics paper on Quelpr.

Practise Direct and Inverse Variation
  1. 2(c)(i)1 mark· CSEC Mathematics · 2022 · Paper 2Write an equation showing the relationship between h and p.
  2. 2(c)(ii)2 marks· CSEC Mathematics · 2022 · Paper 2Given that h = 5.4 when p = 1.44, determine the value of h when p = 2.89.
  3. 2(c)3 marks· Mathematics Q2 2(c)Calculate the values of t and u.
  4. 2(c)2 marks· Mathematics Q2 2(c)Given that y varies inversely as x, use the values of x and y from the table to calculate the value of a.
  5. 2(c)(i)1 mark· Mathematics Q2 2(c)(i)Represent this information as an equation in terms of F, e and an appropriate constant, k.
  6. 2(c)(ii)2 marks· Mathematics Q2 2(c)(ii)Using the equation obtained in (c)(i), or otherwise, determine the value of x and y.
  7. 2(d)3 marks· Mathematics Q2 2(d)Calculate the values of a and b.
  8. 4(a)(i)2 marks· Mathematics Q4 4(a)(i)Find the value of k.
  9. 4(a)(i)1 mark· Mathematics Q4 4(a)(i)Using the letters P, V and k, form an equation connecting the quantities P and V.
  10. 4(a)(ii)2 marks· Mathematics Q4 4(a)(ii)Calculate the value of y when x = 30.
  11. 4(a)(ii)2 marks· Mathematics Q4 4(a)(ii)Given that V = 3 when P = 4, determine the positive value of V when P = 1.
  12. 5(a)2 marks· Mathematics Q5 5(a)Write an equation in x, y and k to describe the inverse variation, where k is the constant of variation.
  13. 5(a)(i)1 mark· Mathematics Q5 5(a)(i)Express A in terms of R and a constant k.
  14. 5(a)(ii)2 marks· Mathematics Q5 5(a)(ii)Calculate the value of the constant k.
  15. 5(a)(iii)2 marks· Mathematics Q5 5(a)(iii)Copy and complete the table.
  16. 5(b)(i)6 marks· Mathematics Q5 5(b)(i)Using the information in the table above, calculate the value of k, the constant of variation.
  17. 5(b)(ii)1 mark· Mathematics Q5 5(b)(ii)Using the information in the table above, calculate the value of r.
  18. 5(b)(iii)1 mark· Mathematics Q5 5(b)(iii)Using the information in the table above, calculate the value of f.
  19. 9(a)6 marks· Mathematics Q9 9(a)Calculate the values of m and n.
  20. 9(a)(i)1 mark· Mathematics Q9 9(a)(i)Express y in terms of x and a constant k.
  21. 9(a)(i)2 marks· Mathematics Q9 9(a)(i)Write an equation relating V and P.
  22. 9(a)(ii)1 mark· Mathematics Q9 9(a)(ii)Calculate the value of the constant k.
  23. 9(a)(ii)2 marks· Mathematics Q9 9(a)(ii)If V = 12.8 when P = 500, determine the constant of variation.
  24. 9(a)(iii)2 marks· Mathematics Q9 9(a)(iii)Calculate the value of V when P = 480.
  25. 9(a)(iii)2 marks· Mathematics Q9 9(a)(iii)Determine the values of a and b.

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