Full Book

1

What is the weighted mean if scores are 4, 6, 8 with weights 1, 2, 3 respectively?

A 6.67 B 7.00 C 6.00 D 7.33

2

Faisal is evaluating (8^2) ÷ (8^2). He uses the quotient property of exponents. What is the simplified result?

A 8^4 B 8^0 C 8^2 D 1^2

3

The midpoint of (x, y) and (u, v) is:

A ((x+u)/2, (y+v)/2) B ((x+y)/2, (u+v)/2) C (x+u, y+v) D ((x-u)/2, (y-v)/2)

4

Solve for x: √x = 5

A 5 B 25 C √5 D 10

5

A histogram is used to represent:

A Frequency distribution of continuous data B Frequency distribution of categorical data C Cumulative frequency distribution D Percentage distribution

6

Simplify log₃(81).

A 3 B 4 C 27 D 9

7

Simplify: (2a³b)⁰

A 1 B 0 C 2a³b D Undefined

8

How many altitudes can a triangle have?

A 3 B 1 C 2 D Infinite

9

Nadia rolls a fair six-sided die. What is the probability of getting an even number?

A 1/6 B 1/3 C 1/2 D 2/3

10

Bilal is evaluating the expression √(16 × 25). He uses the product property of radicals. What is the result?

A 20 B 40 C 41 D 9

11

Fatima is studying binary relations. She defines a relation R from set A = {1,2} to set B = {3,4} as R = {(1,3), (2,4)}. What is the domain of R?

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

12

What is the weighted mean of scores 5, 7, 9 with weights 2, 3, 1 respectively?

A 6.83 B 7.00 C 6.00 D 7.33

13

What is the reciprocal of cos θ?

A sec θ B cosec θ C cot θ D tan θ

14

What is the locus of points at a fixed distance from a given point?

A A line B A circle C A parabola D An ellipse

15

A sector has an angle of 45° and radius 8 cm. What is its area?

A 8π cm² B 4π cm² C 16π cm² D 32π cm²

16

Find the median of: 14, 16, 18, 20, 22, 24.

A 18 B 19 C 20 D 21

17

Tahir is calculating the weighted mean of scores: 60 (weight 3) and 80 (weight 2). What is the weighted mean?

A 66 B 68 C 70 D 72

18

What is the point of intersection of the perpendicular bisectors of the sides of a triangle called?

A Circumcenter B Orthocenter C Centroid D Incenter

19

What is the length of the median from vertex A in triangle ABC if the sides are AB = 6, AC = 8, and BC = 10?

A 5 B 7 C 6 D 4

20

The estimated probability of an event based on 100 trials is 0.4. How many times did the event occur?

A 40 B 60 C 100 D 4

21

Which equation is equivalent to √x = 7?

A x = 49 B x = 14 C x = √7 D x = 7

22

Rizwan is solving √(4x + 1) = 7. He squares both sides. What is the value of x?

A 12 B 11 C 13 D 10

23

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}

24

Tahir is finding the slope of the line 5x - 2y + 4 = 0. What is the slope?

A 5/2 B -5/2 C 2/5 D -2/5

25

What is the HCF of 6x²y and 9xy³?

A 3xy B 3x²y C 18xy D 3x²y³