FIRST TERM, JSS3 MATHEMATICS EXAMINATION, 2025.

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Welcome to your FIRST TERM, JSS3 MATHEMATICS EXAMINATION, 2025.

Objective (Attempt all questions)

1. A coin is tossed once. What is the probability of getting a tail?

2. The probability of an event happening is ⅜. What is the probability of the event not happening?

3. What is the HCF of 3x² and 6x ?

4. Factorise x² - 9

5. Factorise X² + 7x + 10

6. Which of these is NOT a rational number?

7. Express 0.125 as a fraction

8. If one quantity increases as the other decreases, it is ________

9. Expand (x + 3)(x + 2)

10. Remove the bracket - 4(y² - 1)

11. The reciprocal of ⅛ is

12. Factorise 3x(2x + 1) - 2(2x + 1)

13. Find the simple interest on #2000 at 5% per annum for 3years

14. Write the values of x in this inequality - 2 < x < 3

15. What is the value of 2^ - ³ ?

16. In base four, 3 + 1 is equivalent to ____

17. Change 45 base 10 to base 5

18. If E = mc², find £ when m = 3 and c = 2

19. If S = (P + Q) / 2, make Q the subject of the formula.

20. Add 16 to the product of 2 and 8

Subjective ( Attempt all questions)

21. From 1101two, take away 111two

22. Write 6.282828...... using dot notation

23. Expand 213 base four

24. In tabular form, group into rational and irrational numbers ( 0, - 3, 2⅕, 1.3333333..., square root of 11)

25. Factorise 121 - 4t²

26. Factorise t + 2tr + 3s + 6sr

27. Find the amount that would yield a simple interest of #33 for 2years at 3% per annum

28. Multiply 121 base three by 12 three

29. Find the coefficient of u² in the expansion of (4u - 5)(2u - 7)

30. A machine makes 3360 pencils in 42 hours. How many pencils does it produce in 1 hour?

Theory ( Attempt any four questions)

1. Find the compound interest on #10 000 for 3years at 5% per annum.

2. Change 3.22222... to a fraction.

3a. Make r the subject of v = 2pr / t. 3b. The area of a triangle is given by A = ½bh. If A = 24cm² and h = 8cm, find b.

4. If #1500 gives an interest of #450 in 3years, find the rate per annum.

5. Divide 110110 two by 110two leave your answer in base two.

6. Factorise the following: a. 4w² - 49 b. d² - 5d + 6

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