BASIC 9 MATHEMATICS PLACEMENT TEST

Solve for x in the exponential equation: (½)^x = 8

• 3

• -3

• 2

• -2

Solve for x, such that 3(3)X = 27

• 1

• -1

• -2

• 2

SECTION B: ESSAY

INSTRUCTION: ANSWER ANY THREE (3) QUESTIONS

1. (a) Calculate the 4th angle of a quadrilateral whose other three angles are 520 , 1200 and 1250 (4 marks)

(b) Given a set 𝑇 = {𝑎, 𝑏 , 𝑐}, list all the subsets of T (6 marks)

2. Solve for x, the exponential equation given by 25x -5 x -20 = 0 (10 marks)

3. 3. Solve the following logarithmic equation completely log2 (x2 -2x +5) = 2 (10 marks)

5. 4. Find the value of x in logarithmic equation log4 (x2 +15) = 3 (10 marks)

Solve the exponential equation; 52x – 26(5x ) + 25 =0

• 0 or 2

• 1 or 2

• 2 or 3

• 3 or -3

Write the logarithmic form in index form: log₁₀ (0.001), the index is

• -2

• 2

• -3

• 3

Simplify log₃ √81

• 2

• 3

• 4

• 5

Simplify (2a³ ) ² x (4a⁵ ) ^-2

• 1/ 4a²

• 1 /4a⁴

• 1 /4a³

• 1 /4a²

Evaluate: 8^1/3

• 1

• 2

• 3

• 4

Evaluate (0.008)^1/3

• 0.2

• 0.3

• 0.4

• 0.5

Evaluate (5x)³÷ (25x⁶ ) ^1/2

• 27

• 26

• 25

• .24