Mathematics Second Term Examination For JSS 3, 2024/ 2025 Session

Objective ( Attempt all questions)

1. The reciprocal of 6 is

2. Find the value of c in the equation 7c - 6 = c

3. Angle 67ⁿ is complementary with

4. Sin-¹ 0.5878 is ________

5. Find the value of tan 50.8⁰

6. If Cos 30 = 0.8660, Sin 60 =

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

8. Expand -2(2b - 7)

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

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

11. The sum of angles in a triangle is _____

12. Which is the smallest number?

13. Find the square root of 6.25

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

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

16. Hypotenuse and adjacent can be used to find

17. A line that divides a circle into two equal parts is called a ______

18. The highest digit of a binary number is

19. Solve the equation ¹⁴/(1 + y) = 2

20. This is not a method of solving simultaneous equation

Subjective (Answer all and show working clearly)

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

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

23. Factorise 18xy - 6x²

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

25. Subtract 111two from 11010two

26. Use table to find the angle whose tangent is 5/8

27. Find the HCF of 30ad and 28ax

28. Change 57 to base two

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

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

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

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

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

3. Solve simultaneously x - y = 1 ......(1) and x +2y = 7 ....(2) [State the method used]

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

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)

6. Given that y = 3x - 7, construct the table of values for values of x = - 4, -1, 0, 2, 3