FIRST TERM, SSS 1 MATHEMATICS EXAMINATION, 2024.

Objective ( Attempt all questions)

1. The characteristics of the logarithm of 489.43 is

2. If 25base x = 17, find the value of x

3. Find the value of Log (base4) 64

4. Change 5. 89 x 10 -³ to ordinary form

5. If 9 raised to power x is 27, find x.

6. Given that 2.09 times 10 raised to the power of n is 0.000000209. Find n.

7. Simplify ( - U)⁴

8. Solve 10x⁴y × 2x³y²

9. Evaluate 9 - 2 mod 5

10. Convert 11.1two to base ten.

11. Find the value of 3(base four) × 2(base four), leave your answer in base four

12. Reduce 25 to its simplest form in modulo 3

13. If this month is November, what month will it be 15 months from now?

14. In the number 4⁶, the digit 4 represents the ____

15. Find the value of (x²)⁸

16. Which of these numbers is in its standard form?

17. If P ={a, e, g, i, l, n,s,t}, n(P) = ___

18. Given that A = {1, 2, 3}, B ={2,3,4,5,6}. Find A n B

19. If Y = {Secondary school student of age, 5 years}, Y is then said to be a/an ______ set.

20. Which of these is NOT true?

Subjective (Attempt all questions)

21.Find the logarithm of 7.248 and express the answer as power of 10

22. If log n =5.3914, find n

23. Find the value of Log (base4) 2

24. Convert 3² = 9 to its equivalent logarithmic expression.

25. Solve the equation: 2X³ = 54

26. Simplify (8/125) raised to power minus ⅓

27. Evaluate 5 × 7 (mod 4)

28. Given that T = {x : - 3 < x < 5, x€ integer}, list all the elements of T.

29. Evaluate 443(base five) - 234(base five)

30. Expand 101.101(base two)

Theory ( Answer any FOUR questions)

31. Given the universal set £ ={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and sets A= {2, 4, 6, 8, 10}, B = {1, 3, 5, 7}, C ={1, 2, 4, 5, 6, 8, 9}. List the members of the following sets: (a) A U B (b) A n B (c) (A n C ) U B (d) A' (e) B' n C

32. Use four figure table to evaluate 29.86 × 105.2 × 19.7

33. Solve the following: (a) 3²× - ¹ = 27 (b) (⅛) ²/³ (c) a-² = 9

34(a). Find x, given that 2x = 3 (mod 7) (b) Complete the following addition table in modulo 4

35. 1010000two ÷ 1010two, leave your answer in base two

36. Given that sets A = {a, b, c, d, e, f, g, h, I, j, o, u } and B = {a, e, o,u}. (a) Find the cardinality of set A. (b) Use set notation(symbol) to write (bi) B is a subset of A (bii) u is an element of set B (c) Draw a Venn diagram showing the relationship between set A and set B.