CHAPTER 1 MIDTERM EXAM REVIEW
Square Roots and Pythagorean Theorem
Name:__________________
Part A- Multiple Choice (2 Marks)
1
Which square number is represented by the diagram below?
a) 4
b) 16
c) 8
d) 20
2
3
4
5
Which number is a perfect square?
a)
34
b)
63
c)
81
d)
99
The perimeter of a square is 28 cm, the area of this square would be:
a)
196 cm²
b)
56 cm²
c)
49 cm²
d)
144 cm²
The area of a square measures 81 cm², calculate the side length of this
square.
a)
18 cm
b)
9 cm
c)
8 cm
d)
11 cm
Complete the following statement 13² = _____ x _____ = _____.
a)
13 x 13 = 169
b)
13 + 13 = 169
c)
13 x 13 = 144
d)
13 x 13 = 196
6
7
8
9
10
11
12
Complete the following statement √144 = _____ x _____.
a)
8 x 18
b)
2 x 72
c)
4 x 36
d)
12 x 12
Find the square root of 9² .
a)
9
b)
81
c)
18
d)
36
Find the number whose square root is 9.
a)
3
b)
18
c)
36
d)
81
The square root of 29 lies between _____ and _____.
a)
2 and 3
b)
3 and 4
c)
4 and 5
d)
5 and 6
Find the approximate side length of the square with an area of 60 cm².
a)
8 cm
b)
7.4cm
c)
7.5cm
d)
7.8 cm.
What is the correct order of factors for the number 40.
a)
1, 2, 4, 5, 8, 10, 20, 40
b)
1, 2, 4, 10, 20, 40
c)
1, 2, 4, 5, 10, 20, 40
d)
1, 2, 4, 5, 10, 20, 40.
Which statement best simplifies 14².
a)
14 x 14 = 144
b)
14 + 14= 196
c)
14 x 14 = 196
d)
14 + 14 = 28
13
14
15
Calculate the side length of the given triangle.
a)
7 cm
b)
17 cm
c)
15cm
d)
13cm
5 cm
?
12 cm
Find the Area of the indicated square.
a)
11 cm²
b)
22 cm²
c)
53cm²
d)
68 cm²
Find the Area of the indicated square.
a) 11 cm²
76 cm2
b) cm²
c) 61 cm²
?
d) 91cm²
15cm2
Part B- Short Answer – Show your workings.
1.
Draw a diagram to show that 25 is a perfect square. Explain. (3 Marks)
2.
Use Prime Factorization to determine that the square root of 100 = 10.
(4 Marks)
3.
A car travels for 12 km toward south. It then changes direction and travels
for 10 km toward the East. How far does the car have to travel to return
directly to its starting point? (Show all workings and answer to one decimal
place.) (4 Marks)
4
Trista needs to change a light bulb, she uses a ladder (see diagram). How
high up the wall does the ladder reach? (Show all workings and answer to 2
decimal places) (4 Marks)
8 cm