SECOND TERM, SSS 1 MATHEMATICS EXAMINATION, 2026.

Objective( Attempt all questions)

1. Construct a quadratic equation whose roots are 3 and -1

2. Solve (4t - 5)(2t - 3) = 0

3. Factorise 16 - y²

4. If C and K are the roots of x² + x - 6 = 0, find c + k.

5. Evaluate 15 × 26 in mod 5

6. Evaluate 3241five - 1342five

7. If ( x + 6) is a factor of x² + 4x - 12, find the other factor.

8. If x = 64 and y = 8, evaluate X^½/y - Y^⅓/ X^ ⅔

9. Simplify 2⅓ ÷ 2⅔ × 1¹/7

10. If - 3 is one of the roots of the quadratic equation 3d² +7d - 6 = 0, what is the other root?

11. Factorise y² + 4xy + 3x²

12. If P varies directly as q and p = 49 when q = 7, find p when q = 3

13. M is inversely proportional to N, if m = 20 when N = 20, find N when m = 40

14. Given that 1/f = 1/ u + 1/ v, make v the subject of the formula

15.Solve 4/3r - 1/r = 1

16. Solve 3(14 - x) = 30 + x

17. If v² = u² + 2as, find the value of a when v = 14, u = 0 and s = 10

18. Find the coefficient of t in the expansion (3t - 2)²

19. Evaluate bar 3.5 × 4

20. Find the number whose logarithm is 5.3914

Subjective ( Attempt all questions)

21. Write 4³ = 64 in its equivalent logarithmic form

22. If x varies inversely as y and x = 22 when y = 3 . Find the relationship between x and y.

23. Find the HCF of 10m² and 15m

24. Find the quadratic equation whose roots are 6 and - ⅔

25. Solve ( a + 1)(a - 3) = 0

26. Evaluate bar 5 .3 + bar 2 .8

Use the graph to answer questions 27 to 30

27. Find the minimum value of x² + 4x - 2

28. Find the roots of the equation

29. Find the value of y when x = 2

30. What is the value of x when y = - 2 ?

Theory ( Attempt ONLY FOUR questions)

1. Simplify and find the coefficient of x in (x + 1)(2x - 3) + ( x - 4)²

2. If x - 3 is directly proportional to the square of y and x = 5 when y = 2. Find x when y = 6

3. The result of adding 15 to x and dividing the answer by 4 is the same as taking x from 80. (a) Express this statement as an algebraic equation. (b) Find the value of x.

4. Use four figure table to evaluate 0.25² × 0.417³

5. Given that 5 and 9 are the roots of the equation ax² + bx + c = 0. What are the values of a, b and c where a, b and c are the least possible integers.

6. Using the graph , find the equation