Polygons
QUADERLADERALS
Graphs
Word Problems
Order of operation
100

Which ones are polygons?

A. ,C. ,and D.

100

Name the quadrilaterals below:


Solution

  1. The quadrilateral has 4 sides of the same length and all angles are right, so it is a square.  
  2. The quadrilateral has 2 pairs of opposite sides of the same length and all angles are right, so it is a rectangle.
  3. No two sides of this quadrilateral are parallel, so it is a trapezium. 
  4. The quadrilateral has 2 pairs of opposite sides of the same length but the angles are not right, so it is a parallelogram.
  5. The quadrilateral has 4 sides of the same length but the angles are not right, so it is a rhombus. 
  6. The quadrilateral has exactly 1 pair of parallel sides, so it is a trapezoid.
100

There are four species of fish in an aquarium. The figure below shows all the fish grouped by their species.

  1. How many goldfish are in the aquarium? 
  2. How many angelfish are in the aquarium? 
  3. How many guppies are in the aquarium? 
  4. How many catfish are in the aquarium? 


  1. There are 5 goldfish. 
  2. There are 3 angelfish. 
  3. There are 4 guppies. 
  4. There is 1 catfish. 
100

A king wants to transport 7 carriages and 45 horses to a castle. How many horses should pull each carriage so that the numbers are as similar as possible?

Four of the carriages should be pulled by 6 horses and three of the carriages should be pulled by 7 horses.

100

Ivy is solving the following problem:


She is deciding between two ways of simplifying the expression. Which way is correct?

 

Ivy must first multiply and then subtract:


200

Name the polygons below and determine if they are regular or irregular:

Solution

  1. The polygon has 7 sides of different lengths, so it is an irregular heptagon.
  2. The polygon has  sides of the same length and all angles of the same measure, so it is a regular triangle, which is called an equilateral triangle.
  3. The polygon has  sides of different lengths, so it is an irregular quadrilateral. 
  4. The polygon has 8 sides of the same length but the angles don't have the same measure, so it is an irregular octagon.
  5. The polygon has 4 sides of the same length and all angles of the same measure, so it is a regular quadrilateral, which is called a square.
  6. The polygon has 5 sides of the same 
200

Name the quadrilaterals below:





  1. rectangle 
  2. trapezoid
  3. square
  4. parallelogram
  5. trapezoid
200

The bar graph below represents the number of cups of coffee Alfred drank throughout a week:

  1. On which day did Alfred drink the least amount of coffee?
  2. How many cups of coffee did he drink on Wednesday?
  3. What is the total number of cups of coffee he drank throughout the whole week? 


  1. Alfred drank the least amount of coffee on Tuesday.
  2. Alfred drank 4 cups of coffee on Wednesday.
  3. Altogether, Alfred drank 16 cups of coffee. 
200

Each photo takes up 5 megabytes of storage in your cellphone. You currently have 843 megabytes of free space. How many photos can you take?

You can take 168 photos.

200

Simplify:6+12-4

14

300


hat shape do the following objects have?

  1. circle
  2. triangle
  3. rectangle
300

Name the quadrilaterals below:





  1. trapezium
  2. trapezoid
  3. parallelogram
  4. rhombus
300

A group of volunteers collected trash on a beach. The number of garbage bags that were filled with trash over the span of five weeks is shown in the line graph below: 

 

  1. What is the total number of garbage bags filled over the five weeks?
  2. In which week did the volunteers fill the highest amount of garbage bags?  
  3. Between which weeks was there a decrease in the number of filled garbage bags? 
  1. The volunteers collected a total of  bags of garbage.
  2. They filled the highest amount of garbage bags in the fifth week.
  3. The decrease in the number of filled garbage bags was between the third and the fourth week.
300

A wood carver wants to make sculptures of wild beasts. He needs one log to make 4 sculptures. How many logs does he need to make 70 sculptures?

The carver needs 18 logs.

300

9+4x9

29

400

What is a polygon?

A polygon is a closed shape with a border made of line segments, which are called the sides of the polygon. There are no curves in the border of a polygon.

400

Which of the statements are true?

  1. A trapezoid has at least two sides of the same length.
  2. A trapezoid cannot have a right angle.
  3. Every trapezoid is a parallelogram.
  4. Every trapezoid is a quadrilateral.


Only statement d is true.

400

Anna was taking care of a plant for five months. At the beginning of each month, Anna measured the plant's height. The height for each month is shown in the line graph below:

 

  1. How tall was the plant in May and in September?
  2. By how many centimeters did the plant grow from May to September? 
  3. Between which months did the plant's height remain the same? 
  4. In which month was the plant 27cm tall?
  1. In May, the plant was 21cm tall. In September, the plant was 28cm tall.
  2. The plant grew 7cm from May to September. 
  3. The height of the plant remained the same between June and July. 
  4. The plant was 27cm tall in August.
400

Courtney has 60 minutes to practice 8 dance moves. How many minutes should she spend for each move if she wants to have a well-balanced training session?

Courtney should spend 7 1/2 minutes on each move.

400

20x9+49

229

500

What are Irregular and Regular Polygons?

A regular polygon has all equal sides and all equal angles. 

An irregular polygon has a least two sides of different lengths or at least two angles 

500

Which of the statements are true?

  1. A rhombus is a parallelogram.
  2. There are right angles in a rhombus.
  3. All sides of a rhombus have the same length.
  4. A rhombus has only one pair of parallel sides.

A rhombus is a parallelogram.

500

The bar graph below illustrates the weather in Terranova in February: 

 

 

  1. How many sunny days were there?
  2. Which type of weather was there for 9 days? 
  3. Which types of weather were there for the same number of days?
  1. There were 5 sunny days.
  2. It was cloudy for 9 days.
  3. It was snowy and stormy for the same number of days. 
500

Nibaa has 25 dreamcatchers and he wants to hang them in 4 rooms to protect his children from nightmares. How many dreamcatchers should he hang in each room so that the numbers are as similar as possible? 


Nibaa should hang 6 dreamcatchers in three rooms and 7 dreamcatchers in one room.

500

7+4-9+798-29

771

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