THIRD TERM, SSS 1 MATHEMATICS EXAMINATION, 2024/2025

Welcome to your THIRD TERM, SSS 1 MATHEMATICS EXAMINATION, 2024/2025

Name

Class

Objective ( Attempt all questions)

1. Which quadrant does - 202⁰ lie?

3rd

1st

4th

2nd

2. Which is correct about tan x?

Tan x = 1 - Cos x

Tan x = Sin x ÷ Cos x

Tan x = Sin x - 1

Tan x = Sin²x

3. Express - 125⁰ as its equivalent positive angle between 0⁰ and 360⁰

125⁰

55⁰

145⁰

235⁰

4. Solve the equation Cos x = Sin 40⁰

X = 50⁰

X= 90⁰

X = 40⁰

X = 35⁰

5. Find the diagonal of a square whose side is 3cm

Root 3cm

9cm

3 root 2cm

6cm

6. In the figure below, DC = 8cm, what is the length AD?

24cm

16cm

8cm

4cm

7. Which of these is not true?

The diagonals od a parallelogram bisect each other.

None of the above

One of the conditions of congruency of a triangle is SAS.

Base angles of an isosceles triangle are equal.

8. If the exterior angles of a quadrilateral are x⁰, ( x + 3)⁰, ( x + 4)⁰ and ( x + 5)⁰, find x

87⁰

29⁰

348⁰

80⁰

9. Find the sum of interior angle of a regular hexagon

720⁰

1080⁰

900⁰

540⁰

10. If x is a set of the number of dogs that lay eggs. This means that x is

None of the above

{1}

{ }

{0}

11. What is the length of an arc which subtends an angle of 30⁰at the centre of a circle of radius 3½cm, take pie as ²²/7

4.83cm

2 ⅗cm

1.893cm

1 ⅚cm

12. If M : 3x² = 12 and N : X = ±2, is M N a bi implication?

Yes

Not always true

Complicated

13. ABC is an isosceles triangle in which/AB/=/AC/ and angle A = 46⁰. Calculate angle B

46⁰

23⁰

134⁰

67⁰

14. Which of these are complementary angles?

220⁰ and 50⁰

45⁰ and 135⁰

17⁰ and 73⁰

215⁰ and 145⁰

15. Find x in the figure below

25cm

625cm

5cm

7cm

16. Root 3 over 2 is equivalent to

Cos 30⁰

tan 60⁰

Sin 45⁰

Sin 60⁰

17. If Cos P = ⅘ and P is an acute angle find the value of Sin P.

⅘

⅗

5/3

18. The figure below is the graph of

Sin x

Cos x

Tan x

None of the above

19. If the roots of the equation are x = 4 and x = - 3, find the equation

X² - 7x + 12

X² + x - 12

X² - x - 12

X² + 7x - 12

20. How many sides has a heptagon?

Subjective (Attempt all questions)

21. Make t the subject of the formula L = t/ 360⁰ x 2pr

22. Find the total surface area of a cuboid whose length is 9cm, width 7cm and height 4cm

23. In terms of pie, find the radius of the sector which subtends angle 60⁰ at the centre of a circle with 22cm as the length of the arc.

24. Find the value of tan 150⁰ without using calculator

25. If y = 2x² + x - 2, find the value of y when x = - 2

26. Find the number of sides of a regular polygon whose sum of interior angles is 1260⁰

27. What is the name of the triangle below?

28. Find the value of x in the figure in number 27 question.

29. State whether the triangles below are congruent or not. If yes, State the condition of congruency.

30.Calculate the area of a sector which subtends an angle of 36⁰ at the centre of the circle with radius 7cm

Theory ( Answer any four questions)

1. Calculate the area of the shaded segment of the circle below

2. A chord is drawn 21cm away from the centre of a circle of radius 29cm. Calculate the length of the chord.

3. At a point 20m from the base of the tower, the angle of elevation of the topos the tower is 45⁰, what is the height of the tower?

4. Form the table of values of y = 2sin x for values of x from 0⁰ to 180⁰, using intervals of 45⁰

5. If tan x =5/12, find the value of ( Sin x + Cos x ) ÷ Cos x

6a. Evaluate Sin y = Cos ( y + 20). (5b)Evaluate the following angles without using calculator(i) Cos (- 100⁰) (ii) Sin 400⁰

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