FIRST TERM, SSS 2 MATHEMATICS EXAMINATION, 2025.

Welcome to your FIRST TERM, SSS 2 MATHEMATICS EXAMINATION, 2025.

Name

Class

Objective (Attempt all questions)

1. Find the number whose logarithm is bar 3.5711

0.0372

0.372

3.72

0.00372

2. Simplify bar 6.5 minus bar 4.2

Bar 10.3

10.3

Bar 2.3

2.3

3. Evaluate bar 1.8 × 2

Bar 3.6

Bar 2.6

Bar 4.6

Bar 1.6

4. If c and k are the roots of x² + x - 6 = 0 find c + k

- 1

- 3

5. If x² + kx + 16/9 is a perfect square, find the value of k

8/3

3/8

2/3

4/3

6. Solve the equation (2m + 1)/6 - (3m - 1)/4 = 0

0.5

- 0.23

7. Factorise 3x² - 2x - 5

(2x + 1)(3x + 4)

(X + 1)( 3X - 5)

( x+ 2) ( 2x - 5)

( x - 1)(3x + 5)

8. Solve the equation x² - 3x - 10 = 0

X = -3 or - 10

X = -2 or 5

X = 3 or 10

X = -5 or -2

9. Multiply 0.072 by 0.13 and leave your answer in 2 significant figures

0.0093

0.0094

0.00936

0.01

10. What is the range of values of a farm of area 500ha to 1 significant figure?

450ha and 550ha

4.95ha and 5.50ha

495ha and 505ha

490.5ha and 500.5ha

11. Find the sum to infinity of a GP 48 + 12 + 3 +0.75+ ....

192

12. What will be added to d² - 20d to make it a perfect square?

- 10

100

400

13. Find the sum and product of the roots of the equation 2x² - 10x + 7 = 0

5 and 3½

10 and 7

- 10 and 7

- 5 and 3½

14. Find the equation whose roots are 3 and -4

X² - x + 12

X² - 7x + 12

X² + 7x - 12

X² + x - 12

15. Solve (x + 7)² = 25

X = 5 and- 5

X = 12 and - 2

X =2 and - 2

X = - 12 and - 2

16. Determine the value of x for which ( 5x - 6)/ ( 5x + 15) is undefined.

6/5

- 6/5

- 3

17. If x/y = ⅔, evaluate (4x - y)/5x - 2y

1 ¹⁰/29

10/11

1 ¹⁰/31

1¼

18. Which is the formula for the sum of AP?

S = a/ r- 1

S = n/2 (2a + ( n - 1) d

S = a(r^n - I)/r - 1

S = n/2 (2a( n - 1)d)

19. What is the value of Log 6 base 6?

20 Evaluate 13 ÷ 0

Undefined

Subjective ( Attempt all questions and show working clearly)

21. Find the value of x for which 8/(15+ 3x) is undefined.

22. Solve (x - 2)² = 9

23. What must be added to u² - ½u to make the expression a perfect square?

24. Simplify bar 3 . 2 ÷ 4

25. Simplify bar 2.5 - bar 4.6

26. Solve Log 32 base c =5

27. Solve x² = 2x + 15

28. Solve for n when 3.9023 = Log n

29. The length of a stick is 8cm. A student measures the length as 8.5cm, find the percentage error in the measurement.

30. Find the 10th term of the AP 5, 10, 15, 20,.......

Theory ( Attempt any five questions)

1. Using four figure table, evaluate (85.3 × 7.28)⁴

2a. Simplify the fraction (d² - 9) / (d² - 7d + 12) (2b) State the value of x for which the simplified expression is undefined.

3 . Find two consecutive odd numbers whose product is 195.

4. The 28th term of an AP is - 5. Find its common difference if its first term is 31.

5. Solve 4x + 6y = 21 and 7x - 3y = 3 simultaneously

6. A GP has 8 terms. Its first and last terms are 3 and 384 respectively. Calculate (a) the common ratio (b) the sum of the terms of the GP.

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