Probability
Polyhedrons & Nets
Euler's Theorem
Circle Graphs
Perimeter, Area, and Volume
100

What is the theoretical probability of getting one heads and one tails if you toss two coins?

1/2 

100

What is the difference between a prism and a pyramid? 

A prism: a solid with 2 bases (congruent and parallel polygons) connected by multiple parallelograms (lateral faces).

A pyramid: a solid with only one base (a polygon) that connects multiple triangles (lateral faces). 

100

What is Euler's Formula? 

F (faces) + V (vertices) - 2 = E (edges) 

100

In a circle graph, what does it mean when there is a right angle? 

That sector represents 1/4 of the graph or 25%

100

What is the volume of a rectangular prism if the length is 25 cm, the width is 10 cm, and the height is 10 cm?

2500 cm3

200

A nurse hands out 3 types of masks and 3 different-coloured surgical caps. How many possible combinations of masks and caps are there?

9 combinations 

200

What shape is this?  

Pentagonal Pyramid

200

How many edges does a prism with 9 faces and 14 vertices have? 

21 edges 

200

How many students signed up to listen to airline pilot?

39 students

200

A rectangle has a perimeter of 20 cm and a height of 4 cm. What is its area?

24 cm2

300

There are 15 red cubes and 5 blue cubes in a box. What is the probability of picking a blue cube. Write the answer in fraction notation. 

5/20 or 1/4

300

Draw 2 different nets that could be folded into a cube.

:) 

300

How many edges does a pentagonal pyramid have? Solve using Euler's Formula. 

10 edges

300

How many students signed up to listen to the real estate agent? 

26 students

300

What is the perimeter of a square with an area of 49 m2?

28m

400

In a bag, there are 7 green marbles, 5 blue marbles, 6 red marbles, and 2 yellow marbles. What is the probability of picking a red marble in percentage. 

30%

400

What are the possible nets for this polyhedron?

:)

400

Felicia has created an original die for a new board game. The die has 20 vertices and 30 edges. How many faces does it have? 

12 faces

400
What percentage signed up to listen to the microbiologist?

10%

400

Tristan has to install a wooden floor in the staff room. The room is 45 m long, and its width is 4/9 of its length. What area must Tristan cover with wooden flooring?

900 m2

500

There are 2 green tokens, 1 blue token and 2 yellow tokens in a bag. What is the probability, in decimal notation, of picking a green or blue token?

0.60 

500

What is a non-convex polyhedron? Provide an example.

A solid with at least 1 line segment connecting 2 vertices is outside the polyhedron. 

example: star 

500

Calculate the number of edges the prism has based on the number of vertices. 

# of Vertices: 14 vertices. 

21 edges 

500

How many students signed up for the electrician? 

25 students

500

A building has a volume of 80 000 m3. The building is 40 m long across the front, and it is 100 m high. The owner would like to get the bricks on the left and the right sides of the building painted. A can of point covers 50 m2. How many cans of paint will be needed?

80 cans

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