Grade 11 Mathematics Practice Test and Solutions - NeSA - Ex. 1-2

 Grade 11 Mathematics Practice Test - NeSA

 

 Exercise 1

 Use the diagram below to answer the question.

 

Execise 1 Diagram

 

The area of each square is given in the diagram. What is the value of x + y?
A. 30 meters
B. 40 meters
C. 70 meters
D. 120 meters

 

Solution:

According to the diagram above: 

 

 So x + y = 40m + 30m = 70m

The correct answer is C.

 Exercise2

What is the value of the expression  ?

A. 32
B. 44
C. 84
D. 112

Solution:

The correct answer is B.

Calculating the Area and Perimeter of a Square

How to find the area of a square:

The area of a square can be found by multiplying the base times itself.

This is similar to the area of a rectangle but the base is the same length as the height.

If a square has a base of length 5 inches its area is 5*5=25 square inches

How to find the perimeter of a square:

The perimeter of a square is the distance around the outside of the square. A square has four sides of equal length. The formula for finding the perimeter of a square is 4*(Length of a Side).

Calculating the Area and Perimeter of a Square

Example

Let a square of base d =3 cm, calcualte the area S and the perimeter P of the square.

The area of the square is S = d*d = 3*3= 9 cm^2

The perimeter of the square is P = 4*d = 4*3= 12 cm