M8 Study Guide 1B Squares, Cubes, & Real Numbers
Name: ______________________________________________________
1. Circle the IRRATIONAL numbers from the list.
2ߨ
3ߨ
√12 √144
5
6
0.89321 … . 3.14 0. 98തതതത
9
√5
−4
ଶ
ଷ
π
ହ
ଷగ
−2. 59തതതത √45 0 − 2√2 3ߨ
ଵ
ଽ
2. Estimate 110 to the nearest tenth. __________
3. Which point represents√50? ________________
M A T H
4. Which point represents√45? ________________
M A T H
5. Which point represents√37? ________________
M A T H
6. Which point represents√58? ________________
M A T H
7. Complete the table.
side
length
perimeter area volume
11 in
24 in
81 in2
27in3
7. Evaluate:
a. √361 b. 4√144
c. −2√121 d. −√225
e. ට
ଵ଺
ଶହ
f. ට
଼଴଴
଼
g. √27
య
h. √216
య
i. √125
య
j. √729
య
k. √8
య
l. √64
య
m. ට
଼
ଶ଻
య
n. ට
଺ସ
ଷସଷ
య
8. The area of Scout’s room is 400 ft2. He wants to
place a border along the perimeter of the room.
How much border will be needed? _________________
9. Dax is putting border around three sides of his
100 ft2 bedroom. How much border will he use?
10. The volume of Mrs. Cheatham’s cube flask holds
512cm3 of liquid. What is the side length of the
cubed flask? ______________________
11. Zeke and Jude are getting a puppy for
Christmas. The area where the dogpen will go is
250 ft2. How much fence is needed to place around
the perimeter of the area? ___________________

12. Write the following repeated decimals as fractions
a) . 45തതതതത b) . 66തതതതത c) . 8ഥ d) . 356തതതതതത
e) What repeating decimal would result in
଺
ଵଵ
?