Mathematics 3rd Term Exam for JSS2, 2024 – Regent school of science

Welcome to your Mathematics 3rd Term Exam for JSS2, 2024

Name

Class

Objective ( Attempt all questions)

1. What is the bigger angle between NE and W directions?

a) 135⁰

b)225⁰

c)45⁰

d)180⁰

2. Face south, turn through 135⁰ in clockwise direction; state the final direction that you face.

a)NE

b)N

c)W

d)NW

3. Find the scale factor

(a)3:1

b)3:2

c) 4:3

d) 2:1

4. Which is true?

(a) a = 43⁰, vertically opposite angles

b) a = 43⁰, corresponding angles

d)a = 137⁰, adjacent angles on a straight line.

5. In the figure, find the value of Sin α

a) 12/13

b) 5/13

c) 12/ 5

(d) 5/12

6. An angle greater than 180⁰ but less than 360⁰ is ______ angle

(a) acute

b) obtuse

d) reflex.

7. If the bearing of Lagos from Calabar is 349⁰ , what is the bearing of Calabar from Lagos?

a)169⁰

b)529⁰

c)259⁰

d)11⁰

8. The probability of passing an examination is 0.7. What is the probability of failing the examination?

(a)0.5.

b)0.3

c)0

(d)1

9. If a coin is tossed twice, how many outcomes do we expect?

(a)2

b)3.

c)4

(d)1

10. Find b in the figure below

a. 54

b. 63

c. 27

d. 117

11. A polygon with nine equal sides and nine equal angles is called _______

a)irregular heptagon

(b)regular heptagon

c) regular nonagon

d) irregular nonagon

12. Which of these is NOT a property of a parallelogram?

a) . Adjacent sides are equal

b) Opposite sides are equal and parallel

d) The diagonals bisect each other.

13. If x and y are complementary angles, then x is ___

a) y-180.

b) 180-y

d) 90-y

14. A box contains 3 red balls, 5 yellow balls and 7 white balls. If a ball is picked at random, what is the probability of picking a red ball?

a) 3/5.

b) 1/3.

c) 7/15

1/5

15. The graph represents the inequality

A.-3 < x <1

B .-3 < x ≤1

C. 3 < x < -1

D. . -3 < x ≥ 1

16. Simplify 5a -3b - a + 2b

A. 6a+5b

B. 4a–5b

C.4a– b

D. 4a+5b

17. A _________ divides an object into two mirror parts.

.a) line of symmetry

b. diagonal

c. diameter

d. lateral side.

18. The sum of exterior angles of a polygon is equal to _____ degrees.

(a)90

(b)360

c. 180

d. 270

19. Which is not a quadrilateral?

(a)kite

b)Rhombus

(d)pyramid

20. Which angle is constructed? (

a)90⁰

b) 60⁰

(d) 30⁰

Subjective (Answer all and show working clearly)

21. Find out if 8, 15 and 17 are Pythagorean triples.

22. Use your four figure table to find the square root of 361

23. Sketch this: the bearing of X from Y is 160⁰

24. Find the value of x in the figure

25. How many sides has a polygon if the sum of its angle is 26 right angles?

26. Find the value of x

27. On a scale drawing, the distance between Ikedu and Isha is 4cm, find the actual distance if the scale is 1cm : 5km

28. When the angle on a straight line is divided into four parts, each part contains angle ___

29. Remove the bracket -a (-b + c)

30. Factorise dc + d² completely

Theory (Answer any FOUR questions)

1. From the top of a building, 50cm high, the angle of depression of a car is 55⁰. Find the distance of the car from the foot of the building. (Sketch the information)

2. A pencil which has been sharpened at each end just fits along the diagonal of the base of a box. If the box measures 20cm by 15cm, find the length of the pencil. (Sketch the information)

3. Find the (a) acute angle bearing (b) three-figure bearing of A from B in the figure below

4. Find the lettered angles, give reasons

5. Out of 10 students, the favourite drink of seven is coke and the favourite drink of the rest is Fanta. One of the students is chosen at random. What is the probability that the favourite drink of the student is (a) coke (b) Fanta (c)sprite (d) either Fanta or coke.

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