1 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
2 The relative frequency of an event is defined as: A Frequency / Total number of trials B Total trials / Frequency C Frequency × Total trials D Frequency - Total trials
4 What is the distance from the vertex to the centroid compared to the median length? A 2/3 of the median B 1/3 of the median C 1/2 of the median D 3/4 of the median
5 What is the point equidistant from all sides of a triangle? A Incenter B Circumcenter C Centroid D Orthocenter
6 The incenter of a triangle is the point of concurrency of: A Angle bisectors B Medians C Altitudes D Perpendicular bisectors
9 What is the circumcenter of a triangle? A The point equidistant from all vertices B The point equidistant from all sides C The point where medians meet D The point where altitudes meet
10 What is the centroid of a triangle? A The point of intersection of the medians B The point of intersection of the altitudes C The point of intersection of perpendicular bisectors D The point of intersection of angle bisectors
11 The medians of a triangle are concurrent at a point that divides each median in the ratio: A 2:1 from the vertex B 1:1 C 3:1 from the vertex D 1:2 from the vertex
12 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
13 What is the perpendicular bisector of the hypotenuse in a right triangle? A Passes through the circumcenter B Passes through the orthocenter C Passes through the centroid D Passes through the incenter
15 How many medians are needed to find the centroid of a triangle? A Two medians B One median C Three medians D All three medians
16 What is the orthocenter of an acute triangle? A Inside the triangle B On the triangle C Outside the triangle D At the vertex
17 In an isosceles triangle, the median from the vertex angle to the base is also: A Altitude and angle bisector B Only altitude C Only angle bisector D Neither altitude nor angle bisector
18 What is the median from a vertex to the opposite side? A A segment joining the vertex to the midpoint of the opposite side B A perpendicular from the vertex to the opposite side C A line bisecting the angle at the vertex D A line joining the midpoints of two sides
20 How many medians are needed to find the centroid of a triangle? A Two medians B One median C Three medians D All three medians