Quarter 1

1

In a class of 35 students, 20 like tea, 15 like coffee, and 5 like both. How many like only tea?

A 15 B 10 C 20 D 5

2

Simplify: √(1/4).

A 1/2 B 1/4 C 1/16 D 2

3

What is the product of -3 and -5?

A 15 B -15 C 8 D -8

4

What is log₂(0.5) equal to?

A 1 B -1 C 0.5 D -0.5

5

Zara is verifying the associative property for sets. She has A = {1}, B = {2}, C = {3}. Which of the following is true?

A (A ∪ B) ∪ C = A ∪ (B ∪ C) B (A ∩ B) ∪ C = A ∩ (B ∪ C) C A ∪ (B ∩ C) = (A ∪ B) ∩ C D A ∩ (B ∪ C) = (A ∩ B) ∪ C

6

Tahir is checking the identity property for union. If A = {1,2} and ∅ is the empty set, what is A ∪ ∅?

A A B ∅ C {1,2,∅} D U

7

What is the value of log₂(128)?

A 6 B 7 C 8 D 9

8

A relation R is defined as R = {(1,1), (2,4), (3,9)}. What is the domain of R?

A {1,4,9} B {1,2,3} C {1,2,3,4,9} D {(1,1),(2,4),(3,9)}

9

What is the domain of the relation R = {(1,2), (2,3), (3,4)}?

A {1, 2, 3} B {2, 3, 4} C {1, 2, 3, 4} D {1, 3}

10

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}

11

Simplify log₄(64) + log₄(1).

A 3 B 4 C 0 D 64

12

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

13

If A = {1, 3, 5, 7} and B = {1, 2, 3, 4}, what is A - B?

A {5, 7} B {2, 4} C {1, 3} D {1, 2, 3, 4, 5, 7}

14

What is log₁₀(10⁵)?

A 5 B 10 C 50 D 0.5

15

Sana has a universal set U = {1,2,3,4,5} and set A = {1,3,5}. She wants to find A'. What is A'?

A {1,3,5} B {2,4} C {1,2,3,4,5} D {}

16

Ayesha draws a Venn diagram with sets X = {a,b,c} and Y = {b,c,d}. She shades the region that represents X ∪ Y. Which elements are in the shaded region?

A {a,b} B {b,c} C {a,b,c,d} D {d}

17

Simplify: √(1.44).

A 1.2 B 12 C 0.12 D 1.44

18

Simplify log₅(125) - log₅(5).

A 2 B 3 C 25 D 1

19

Hina has set A = {1,2,3,4}. She wants to find the number of elements in the power set of A. How many subsets does A have?

A 4 B 8 C 16 D 32

20

The decimal expansion of an irrational number is:

A Terminating B Non-terminating and repeating C Non-terminating and non-repeating D Terminating and repeating

21

If logₐ b = c, then which is true?

A aᶜ = b B bᶜ = a C cᵃ = b D aᵇ = c

22

Which of the following is a rational number?

A π B √2 C 0.75 D √3

23

Which logarithmic law is used to simplify logₐ(xⁿ)?

A Product law B Quotient law C Power law D Change of base law

24

Saima has set A = {1,2} and set B = {1,2,3,4}. How many elements are in A × B?

A 2 B 4 C 6 D 8

25

What is the base of a common logarithm?

A 2 B e C 10 D 1