SECOND TERM SSS2 MATHEMATICS EXAMINATION, 2026.

Welcome to your SECOND TERM SSS2 MATHEMATICS EXAMINATION, 2026.

Name

Class

Objective (Attempt all questions)

1. Solve 2x - 3 < 5

x < 1

x > 2

x < 8

x < 4

2.Factorise y² + 7y - 30

(x+15)(x - 2)

(x - 15)(x +2)

(x + 10)(x - 3)

(x - 10)(x +3)

3. If x = - 2y and 4x - 3y = 11, find x +y

-1

- 3

4. Solve (2m - 2)(m +4) = 0

m = - 1 or -4

m = 0 or 5

m = 2 or 4

m = 1 or - 4

5.Expand ( 3x + y)²

9x² + 6xy + y²

6x² + 3xy +y²

3x² + 6xy +y

3x² + y²

6. Which of these is not true?

Opposite angles of a cyclic quadrilateral are supplementary.

Two tangents drawn to a circle from an external point are equal in length.

A line from the centre of a circle to the mid point of a chord is perpendicular to the chord.

None of the above

7. The point where a straight line touches a circle is called______

Chord

Point of tangency

Line of symmetry

alternate segment

8. Factorise x² - 1

x(x -1)

(x²+1)(x-1)

1(x²--1)

(x +1)(x -1)

9. What is the value of angle x in the figure?

80⁰, sum of angles in a triangle.

40⁰, base angles of isosceles triangle

10⁰, point of tangency and radius

90⁰, angle in a semicircle

10. Find angle m

52⁰

38⁰

142⁰

90⁰

11. In what quadrant is angle 243⁰?

4th

3rd

1st

2nd

12. Which of these is/are true? (i)Cosine is positive in the first and fourth quadrants. (ii) Tangent is positive in the second quadrant. (iii) Sine is negative in the third and fourth quadrant.

ii and iii only

I and iii only

i and ii only

All of the above.

13. Which of these inequalities is represented on the cartesian plane in figure13 ?

x < 2

x > 2

y < 2

y > 2

14. Which of these ranges of values of x is shown on the number line in figure 14?

-5 < x < 3

- 5 < x < or = 3

-5 < or = x < 3

- 5 > x > or = 3

15. If y is an integer, find the three greatest values of y in 3y + 6 < 10

2, 3, 4

0, -1, -2

2, 1, 0

1, 0, -1

16. Simplify bar 5.3 + bar 3.8

Bar 3.1

Bar 7.1

Bar 8.1

Bar 2.1

17. Use table to find the logarithm of 0.0967

Bar 2. 9854

1.9548

Bar 1.9548

2.9854

18. Log 1(base 9) = x. Find x

-1

19.Simplify (x² + xy)/(x² - y²)

X/(x - y)

x/(x+y)(x- y)

1/y

x(x +y)/x²- y²

20. Find the 10th term of the GP 1, 3, 9, 27,.....

270

19683

59049

6561

Subjective (Attempt all questions)

21. The radius of a circle is 12cm. The length of a chord of the circle is 26cm . Calculate the distance of the chord from the centre of the circle.

Find the sizes of angles marked by letters in the following diagrams ( for numbers 22 to 24). Give reason for your answer.

22. See diagram

23. See diagram

24. See diagram

25. In triangle ABC, angle A =29⁰, B = 36⁰, b = 15.8cm. Find a.

26a. Solve the inequality 4x + 1> 6x - 8 and (b) sketch the graph of its solution.

27. Find the gradient of lines joining the pair of points (6, 1) and (1, 5)

28. Find the equation of the straight line passing through the point (3, 7) whose gradient is 2

29. Expand ( 3x + y)²

30. Find the value of y when x = 2 in the equation 2x² - 3x - 8

Theory ( Attempt ONLY FOUR questions)

1. A two- digit number , x and y is such that the sum of the digits is 13 and the product of the digits is 40. Find the number.

2. In triangle ABC, b = 4cm, c = 5cm and A = 115⁰. Find a , correct your answer to 2 significant figures.

3. A chord of a circle is 15cm long. The perpendicular distance of the chord from the centre of the circle is 4.5cm. Calculate (a) the radius of the circle. (b)the angle subtended by the chord at the centre of the circle.

4. Find angles B and C in the triangle below

5. Find the lettered angles and give reason for each answer.

6. Find the equation of straight line passing through ( -3, -2) and ( 1, 2)

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