Name: ______________________
Class: _________________
Date: _________
Square Roots and Surface Area Unit Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. List all the whole numbers between 63 and 101 that are perfect squares.
a. 64, 81, 96
c. 64, 81, 100
b. 64, 81
d. 64, 72, 81, 100
____
2. Determine the value of 0.0225 .
a. 0.225
b. 0.15
____
____
____
____
c.
0.015
d.
2.25
3. Calculate the number whose square root is 0.9.
a. 0.81
b. 0.0081
c.
0.081
d.
0.09
4. Which fraction is a perfect square?
49
i)
60
49
ii)
225
28
iii)
225
7
iv)
15
a. ii
b. iii
iv
d.
i
d.
16, 25
d.
16, 25
7. Which decimal has a square root between 14 and 15?
i) 240.3
ii) 169
iii) 14.5
iv) 204.5
a. ii
b. iii
c. i
d.
iv
8. A square has an area of 27.8 cm2 .
Determine the side length of the square, to the nearest millimetre.
a. 5 cm
b. 5.2 cm
c. 5.27 cm
d.
5.3 cm
5. Name the two whole numbers whose squares are closest to 22.5.
a. 9, 25
b. 4, 5
c. 4, 9
6. Name the two whole numbers whose squares are closest to
a.
____
____
c.
49, 64
b.
4, 9
c.
1
525
10
.
7, 8
ID: A
Name: ______________________
____
ID: A
9. This composite object is made using centimetre cubes. Determine its surface area.
a.
24 cm2
b.
20 cm2
c.
15 cm2
d.
18 cm2
____ 10. This object is made from 7 centimetre cubes. Determine its surface area.
a.
30 cm2
b.
42 cm2
c.
26 cm2
d.
22 cm2
____ 11. This composite object is made of a 10-cm cube on top of a 20-cm cube.
Determine its surface area.
a.
2800 cm2
b.
2500 cm2
c.
2900 cm2
d.
3000 cm2
____ 12. This object is composed of two identical cubes joined by a right rectangular prism.
The edge length of each cube is 8 cm.
The rectangular prism is 9 cm long and has square ends of side length 3 cm.
Determine the surface area of the object.
a.
660 cm2
b.
894 cm2
c.
2
876 cm2
d.
858 cm2
Name: ______________________
ID: A
____ 13. This object is composed of a rectangular prism on top of a cylinder.
The rectangular prism has height 8 cm and square ends of side length 4 cm.
The cylinder has diameter 16 cm and height 6 cm.
Determine the surface area of the object, to the nearest square centimetre.
a.
631 cm2
b.
816 cm2
c.
832 cm2
d.
848 cm2
____ 14. An object is composed of a right rectangular prism and a triangular prism.
Determine the surface area of this composite object, to the nearest square centimetre.
a.
422 cm2
b.
405 cm2
c.
447 cm2
d.
342 cm2
Short Answer
15. Determine the value of
2.89 .
16. Calculate the number whose square root is
12
.
13
17. Identify the decimals that are perfect squares.
36, 3.6, 0.36, 0.036, 0.0036
18. To estimate the value of
1580
1580
, determine the two whole number perfect squares closest to
and
20
20
their square roots.
19. Replace
4.5 <
with a decimal to make this statement true.
< 5.5
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Name: ______________________
ID: A
20. Determine the length of the hypotenuse, h.
21. Determine the length of side s.
22. This composite object is made using centimetre cubes. Determine its surface area.
23. This object is composed of a right rectangular prism attached to the side of a larger right rectangular
prism.
Determine the surface area of the object.
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Name: ______________________
ID: A
24. Determine the surface area of this composite object, to the nearest square centimetre.
The cylinder has diameter 3 cm and height 4 cm.
The prism has length 10 cm, width 9 cm, and height 9 cm.
Problem
25. The side length of square PQRS is half the side length of square ABCD.
Square ABCD has area 121 cm2 .
a) What is the area of square PQRS?
b) What is the length of each side of square PQRS?
26. On this grid, the side length of each small square represents 0.5 m.
Determine the length of AB, to the nearest tenth of a metre.
5
Name: ______________________
ID: A
27. Determine the values of s and h. Show your work.
28. Two identical equilateral triangular prisms are joined by a cylinder as shown.
The equilateral triangle has side length 14 cm and the rectangular sides have length 5 cm.
The cylinder has diameter 5 cm and length 9 cm.
Determine the surface area of the composite object, to the nearest square centimetre.
Show your work.
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