Geometry: Angles & Shapes — Chapter Test | Class 5 IMO

Q1

Which is the odd one out (three are types of triangle)?

A rhombus is a quadrilateral; the others are triangles.

Q2

A straight angle is to 180° as a complete angle is to ___ ?

A complete angle is 360°.

Q3

An angle of 250° is a ___ angle.

Between 180° and 360° is a reflex angle.

Q4

A triangle has 3 sides; a quadrilateral has ___ ?

A quadrilateral has 4 sides.

Q5

A complete angle measures ___ ?

A complete angle is 360°.

Q6

A triangle with all 3 sides equal is ___ ?

Three equal sides make an equilateral triangle.

Q7

A triangle with exactly 2 equal sides is ___ ?

Two equal sides make an isosceles triangle.

Q8

Euler's formula is F + V − E = ___ ?

Faces + Vertices − Edges = 2.

Q9

For a cube, F + V − E equals ___ ?

6 + 8 − 12 = 2.

Q10

The distance all the way around a circle is the ___ ?

The distance around a circle is its circumference.

Q11

At 6 o'clock, the two hands of a clock make a ___ angle.

At 6:00 the hands point opposite ways, making a straight angle (180°).

Q12

A slice of pizza is shaped most like a ___ of a circle.

A pizza slice is a sector.

Q13

A solid has 5 faces and 6 vertices. How many edges does it have (use Euler's formula)?

F + V − E = 2, so 5 + 6 − E = 2, giving E = 9.

Q14

A triangle has angles 60°, 60° and 60°. What type of triangle is it?

Equal angles mean equal sides, so it is equilateral.