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Mth – Full Book

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Question 1 of 20 0% read

1. Which of the following is used to draw the perpendicular bisector of a line segment?

A Compass arcs from both endpoints

B Ruler alone

C Protractor alone

D Set square alone

2. A conjecture is a statement that is:

A Proven to be true

B Accepted without proof

C Believed to be true but not yet proven

D Always false

3. If two similar polygons have areas in ratio 4:9, what is the ratio of their perimeters?

A 2:3

B 4:9

C 16:81

D 4:6

4. If log₁₀(2) = 0.3010, what is log₁₀(200)?

A 1.3010

B 2.3010

C 3.3010

D 0.3010

5. In a frequency distribution, what does the class width represent?

A The difference between upper and lower class boundaries

B The number of data points in each class

C The midpoint of the class interval

D The total number of classes

6. In a frequency distribution, the sum of all relative frequencies is:

A 1

B 0

C Total frequency

D 100

7. Solve for x: 3√x - 2 = 10

A 4

B 16

C 8

D 36

8. Which of the following is a subset of A = {1, 2, 3}?

A {1, 2, 3, 4}

B {1, 2}

C {0, 1}

D {3, 4}

9. What is the product of 3² and 3⁴?

A 3⁶

B 3⁸

C 9⁶

D 3²

10. What is the mode of the following distribution: 2, 2, 3, 4, 4, 4, 5?

A 4

B 2

C 3

D 5

11. What is the point of intersection of the medians of a triangle called?

A Centroid

B Orthocenter

C Circumcenter

D Incenter

12. The altitude of a triangle is a line segment drawn from a vertex:

A Perpendicular to the opposite side

B Parallel to the opposite side

C Bisecting the opposite side

D Bisecting the angle at the vertex

13. What is the range of the relation R = {(1, a), (2, b), (3, c)}?

A {1, 2, 3}

B {a, b, c}

C {1, a, 2, b, 3, c}

D {a, b}

14. If the mean of 4, 6, 8, and x is 7, what is the value of x?

A 6

B 8

C 10

D 12

15. A histogram differs from a bar chart because:

A There are no gaps between bars

B Bars have spaces between them

C It uses categorical data

D It has no axes

16. What is the distance between (1, 3) and (5, 6)?

A 3

B 4

C 5

D 6

17. Solve: |3x - 6| = 0

A 2

B -2

C 0

D 6

18. The midpoint of (a, b) and (c, d) is:

A ((a+c)/2, (b+d)/2)

B ((a+b)/2, (c+d)/2)

C (a+c, b+d)

D ((a-c)/2, (b-d)/2)

19. Simplify: 2⁻³.

A 1/8

B -8

C 8

D -1/8

20. What is the sum of interior angles of a quadrilateral?

A 180°

B 270°

C 360°

D 540°

Mth – Full Book

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