Quarter 4

1

The mode of the data: 1, 1, 2, 2, 2, 3, 4 is:

A 1 B 2 C 3 D 4

2

Shahid is drawing the median from vertex A to side BC of triangle ABC. If the centroid is G, what is the ratio AG : GM where M is the midpoint of BC?

A 1 : 1 B 2 : 1 C 1 : 2 D 3 : 1

3

What is the incenter of a triangle?

A Point of intersection of angle bisectors B Point of intersection of medians C Point of intersection of altitudes D Point of intersection of perpendicular bisectors

4

What is the point equidistant from all sides of a triangle?

A Incenter B Circumcenter C Centroid D Orthocenter

5

Find the mode of the grouped data with frequencies: 5, 8, 12, 9, 6.

A The class with frequency 12 B The class with frequency 8 C The class with frequency 9 D The class with frequency 6

6

Which triangle construction criterion uses two angles and the included side?

A ASA B SAS C SSS D AAS

7

Which tool is used to draw perpendicular bisectors in practical geometry?

A Compass and ruler B Protractor only C Set square only D Divider

8

A triangle can be constructed if the sum of its two angles is:

A Less than 180° B Equal to 180° C Greater than 180° D Any value

9

What is the first step in constructing a triangle when given three sides?

A Draw the longest side as the base B Draw the shortest side as the base C Draw any side as the base D Draw an angle first

10

If the mean of 3 numbers is 8 and the numbers are 6, 9, and x, what is x?

A 9 B 8 C 7 D 10

11

Sadia is making a frequency distribution table. The data is: 1, 1, 2, 2, 2, 3, 3, 4. What is the frequency of 2?

A 1 B 2 C 3 D 4

12

Usman has the data set: 12, 15, 18, 21, 24. He wants to find the mean. What is the mean?

A 15 B 18 C 21 D 24

13

Mehwish is constructing a triangle given side AB = 4 cm, side BC = 5 cm, and side AC = 6 cm. Which construction method is she using?

A SSS B SAS C ASA D RHS

14

Fatima is constructing a triangle given two sides and the included angle (SAS). She draws the included angle first. What should she do next?

A Draw the third side B Mark the two given sides on the angle arms C Draw the altitude D Draw a perpendicular bisector

15

Jibran is constructing a triangle with angles 120°, 30°, and 30°. What type of triangle is formed?

A Acute-angled B Right-angled C Obtuse-angled isosceles D Equilateral

16

What is the altitude of a triangle in an obtuse triangle from an acute vertex?

A Falls outside the triangle B Falls inside the triangle C Falls on the opposite side D Coincides with a side

17

Imran is drawing a median from vertex A to side BC of triangle ABC. Where does the median meet side BC?

A At the midpoint of BC B At the vertex B C At the vertex C D At the orthocenter

18

What is the altitude of a triangle in an obtuse triangle from an acute vertex?

A Falls outside the triangle B Falls inside the triangle C Falls on the opposite side D Coincides with a side

19

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

20

What is the orthocenter of an acute triangle?

A Inside the triangle B On the triangle C Outside the triangle D At the vertex

21

In a histogram, the area of each rectangle is proportional to:

A The frequency of the class B The class width C The class midpoint D The cumulative frequency

22

In a scalene triangle, the perpendicular bisectors:

A Meet at a point inside or outside B Always meet inside C Never meet D Always meet on the triangle

23

In a frequency distribution, the difference between upper and lower class boundaries is the:

A Class size B Class mark C Class limit D Frequency

24

Saima is constructing a triangle with sides 6 cm, 8 cm, and 10 cm. What is the measure of the largest angle?

A 30° B 45° C 60° D 90°

25

Hassan is finding the point of concurrency of the medians of a triangle. What is this point called?

A Centroid B Circumcenter C Orthocenter D Incenter