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Mth – Quarter 1

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Question 1 of 20 0% read

1. Simplify: log₂(8) + log₂(4).

A 4

B 5

C 6

D 7

2. What is the multiplicative inverse of 5?

A 5

B -5

C 1/5

D 5/1

3. Simplify: 5√3 - 2√3.

A 3√3

B 7√3

C 3√6

D 10√3

4. Convert 6.02 × 10²³ to standard notation.

A 602000000000000000000000

B 60200000000000000000000

C 0.000000000000000000000602

D 6020000000000000000000

5. What is the value of log₁₀(0.001)?

A -3

B 3

C -2

D 0.001

6. What is log₂(0.5) equal to?

A 1

B -1

C 0.5

D -0.5

7. If A = {1, 2} and B = {2, 3, 4}, what is A ∪ B?

A {1, 2, 3, 4}

B {1, 2}

C {2, 3, 4}

D {1, 3, 4}

8. If log₁₀(2) ≈ 0.3010, then log₁₀(8) is approximately:

A 0.9030

B 0.6020

C 0.3010

D -

9. What is the domain of R = {(3, 9), (4, 16), (5, 25)}?

A {3, 4, 5}

B {9, 16, 25}

C {3, 9, 4, 16, 5, 25}

D {9, 16}

10. Simplify: √8 × √2.

A 4

B √16

C 2√2

D 8

11. Which of the following is a relation from set X = {1, 2} to set Y = {a, b}?

A {(1, a), (1, b)}

B {(1, 1), (2, 2)}

C {(a, 1), (b, 2)}

D {(1, 2, a)}

12. What is (a²)³ equal to?

A a⁶

B a⁵

C a⁸

D a⁹

13. The distributive property of intersection over union is:

A A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

B A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)

C (A ∩ B) ∩ C = A ∩ (B ∩ C)

D A ∩ B = B ∩ A

14. If A = {x | x is a factor of 12} and B = {x | x is a factor of 18}, what is A ∩ B?

A {1, 2, 3, 6}

B {1, 2, 4, 6, 12}

C {1, 2, 3, 6, 9, 18}

D {1, 2, 3}

15. If logₓ(81) = 4, what is the value of x?

A 3

B 9

C 27

D 81

16. The multiplicative identity for real numbers is:

A 0

B 1

C -1

D The number itself

17. Which of the following is the correct representation of the union of sets in a Venn diagram?

A Shaded area covering both circles entirely

B Shaded area where circles overlap

C Shaded area inside one circle only

D No shading

18. The decimal expansion of 1/7 is:

A Repeating

B Terminating

C Non-repeating and non-terminating

D Integer

19. If log₁₀(3) ≈ 0.4771, then log₁₀(300) is approximately:

A 2.4771

B 4.771

C 0.4771

D 3.4771

20. The property used in the equation 7 × (5 + 3) = (7 × 5) + (7 × 3) is:

A Associative Property

B Commutative Property

C Distributive Property

D Identity Property

Mth – Quarter 1

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