Mathematics 2nd Term Exam 2024 for JSS3 – Regent school of science

Welcome to your Mathematics 2nd Term Exam 2024 for JSS3

What is your name

Objective ( Attempt all questions)

1. The reciprocal of 6 is

- 6

¹/6

2. Write 0.6543 in standard form

6.543 × 10¹

6.543 × 10 -¹

0.6543 10-¹

0.6543 × 10¹

3. Angle 67ⁿ is complementary with

23⁰

113ⁿ

337ⁿ

157ⁿ

4. Sin-¹ 0.5878 is ________

54 degrees

36 degrees

56.7 degrees

33.5 degrees

5. Find the value of tan 50.8⁰

6.13

1.226

0.4366

1. 2543

6. If Cos 30 = 0.8660, Sin 60 =

0.5

0.8660

1.7321

0.5774

7. Solve (y - 5) /4 = 8

10.

8. Expand -2(2b - 7)

4b - 14

- 4b - 14

- 4b + 14

- 4b + 7

11.

9. Find the value of x in 3x - y = 1 if y = 5

x = -4/3

x= 2

x =½

x = ¾

12.

10. The formula v = kr²h is an example of _________ variation.

direct

inverse

Joint

Partial

13.

11. The sum of angles in a triangle is _____

180⁰

360⁰

90⁰

270⁰

14.

12. Which is true? Two figures are said to be similar if ___________

Their hypotenuse are equal

when all their sides are equal

When their corresponding angles are equal and their ratio of their corresponding sides are equal

When their angles are unequal and the ratio of their corresponding sides are equal

15.

13. Find the square root of 6.25

2.5

0.25

0.025

16.

14. Simplify 8j -10j + 6j -7j + 4j

17.

15. Find the third angle of a triangle if two angles are 110⁰ and 32⁰

142⁰

38⁰

52⁰

78⁰

18.

16. Hypotenuse and adjacent can be used to find

Cosine

Sine

Tangent

Reciprocal

19.

17. Angle of elevation and angle of depression both form _________ angle

Vertically opposite

corresponding

alternate

interior

20.

18. The highest digit of a binary number is

21.

19. Which of these is/ are true? (i) Alternate angles are equal. (ii) All equiangular triangles are similar (iii)Complementary angles sum up to 180⁰

i and ii only

i, ii and iii

i only

ii only

22.

20. This is not a method of solving simultaneous equation

Graphical

Trigonometric

Substitution

Elimination

23.

Subjective (Answer all and show working clearly)

24.

21. Write y is inversely proportional to the cube of x using (a) proportionality symbol and (b) constant of proportionality k

25.

22. Simplify (t + 6) (t -8)

26.

23. Factorise 18xy - 6x²

27.

24. Find the difference between 63 and the product of 10 and 5

28.

25. Subtract 111two from 11010two

29.

26. Use table to find the angle whose tangent is 7/3

30.

27. Find the HCF of 30ad and 28ax

31.

28. Change 57 to base two

32.

29. If y = (x +9)/(x - 3), find y when x = 5

33.

30. Given a right angled triangle, the side facing angle 30⁰ is y and the adjacent is 20cm. Find y

34.

Theory ( Answer any five questions and neatly show all working)

35.

1. Solve (x -4)/3 +(x - 2)/5 = 14/3

36.

2. When twelve is subtracted from a number and the answer is divided by 10, the result obtained is one quarter of the original number. Find the number

37.

3. Solve simultaneously x - y = 1 ......(1) and x +2y = 7 ....(2)

38.

4. If y is directly proportional to x and y = 10 when x = 4 (a) Find the formula connecting y and x (b) Find y when x = 8

39.

5. A ladder, 5m long, leans against a wall. It makes an angle 60⁰ with the horizontal ground, calculate how far up the wall the ladder reaches. (Sketch before solving)

40.

6. A cone is 6cm high and its vertical angle is 54⁰. Calculate the radius.

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