Time: 1 hour
M.M. 30
Attempt all questions.
Q1. Which of the following is equal to 2³ × 2⁴? (1 Mark)
a) 2⁷
b) 2¹²
c) 2⁸¹
d) 2¹
Q2. The value of (3⁴) ÷ (3²) is: (1 Mark)
a) 3⁸
b) 3²
c) 3⁶
d) 3¹
Q3. Which of the following is NOT correct? (1 Mark)
a) am × an = am+n
b) (am)n = amn
c) am ÷ an = am+n
d) a0 = 1
Q4. The value of 2⁻³ is: (1 Mark)
a) -8
b) 8
c) 1/8
d) 1/-8
Q5. If 5ˣ = 125, then the value of x is: (1 Mark)
a) 2
b) 3
c) 4
d) 5
Q6: Express 4-3 as a power with base 2. (2 Marks)
Q7: Express 0.00000000837 in standard form. (2 Marks)
Q8: Simplify the expression: (4² × 4⁻³). (2 Marks)
Q9: Solve (3 Marks)
Q10: Find value of (3 Marks)
Q11: Express the following numbers in standard form. (3 Marks)
(i) 0.0000000015
(ii) 0.00000001425
(iii) 102000000000000000
Q12: Simplify the following (5 Marks)
Q13: The number of books in a library increases by 5 times every 2 years. A library starts with 100 books. How many books will there be in the library after: (5 Marks)
(a) 6 years
(b) 10 years
You can access the solutions to this Unit Test here.
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