Math 6
Name_______________________________
Review for the test
Date_______________ Period__________
1. Determine to which set(s) of Real Numbers each number below belong to.
RATIONAL
IRRATIONAL
INTEGER
WHOLE
COUNTING
a) -9.3 __________________________________________________________________________________________
b)
49 _________________________________________________________________________________________
c) 0 ____________________________________________________________________________________________
d) 8.5199872…____________________________________________________________________________________
e) -12 ___________________________________________________________________________________________
f) 2.3333…_______________________________________________________________________________________
g)
88 ___________________________________________________________________________________________
h)
9
____________________________________________________________________________________________
13
2. Fill in the chart. Put an X or a check mark in the appropriate box
IRRATIONAL
NUMBER
0 1 RATIONAL
ONLY
RATIONAL AND
INTEGER
WHOLE
COUNTING
8.7599317…. 1 4
9
25 ‐10.999999 16π ‐9.2 31 Determine the GCF and LCM – CIRCLE YOUR ANSWERS (USE SCRAP PAPER IF YOU NEED MORE ROOM)
3b) Determine the GCF of …
3a) Determine the LCM of…
108
126
112
54
45
135
GCF = _________
GCF = _________
LCM = __________
LCM = __________
3c) Determine the GCF of …
135
252
189
3d) Determine the LCM of …
96
168
210
GCF = _________
GCF = _________
LCM = __________
4a) Alex is away at college. He keeps up a regular
communication with his three friends Lucas, Ned and
Jacob. He gets an e-mail from Lucas every 12 days, an
e-mail from Ned every 15 days, and an email from
Jacob every 10 days. He received an email from all
three boys today. When is the next time he will receive
an email from all of them on the same day?
LCM = __________
4b) Caroline is making bead necklaces. She has 36
green beads and 48 blue beads. What is the greatest
number of identical necklaces Caroline can make if
she wants to use all the beads?
Answer: ______________
Answer: _______________
4c) RMS cafeteria receives a delivery of vegetables
4d) Emily is making identical flower arrangements for
every 4 days. Every 6 days it receives a delivery of
meat. Every 10 days it receives a delivery of juice.
Every 12 days it receives a delivery of bottled water.
If there was a shipment of all these goods today, when
is the next time all 4 items will arrive on the same
day?
a senior prom. She has 128 roses, 80 lilies, and 112
carnations. What is the greatest number of bouquets
she can make if all flowers are used?
Answer: _______________
Answer: _______________
5) Determine if each number below is a perfect square. Explain your reasoning.
a) 40 ____________________________________________________________________________________________
b) 144 ___________________________________________________________________________________________
c) 66 _____________________________________________________________________________________________
6) Determine in between which two whole numbers each imperfect square root below is located.
105 is in between _____ and _____. It is closer to _____
44 is in between _____ and _____. It is closer to _____
151 is in between _____ and _____. It is closer to _____
219 is in between _____ and _____. It is closer to _____
60 is in between _____ and _____. It is closer to _____
125 is in between _____ and _____. It is closer to _____
7) Round the square root to the nearest tenth.
List the first 15 perfect squares: (Use a calculator)
Ex: √ = 1 a) √8 ____ ________ b) √121_______________________________ c) √169_________________________________ d) √62 _________________________________ e) √81 _________________________________ Find the LCM or GCF of each word problem: 8)
Three pigs entered a race around a track. Piggly takes 9 minutes to run one lab, Piglet takes 12 minutes
to run one lap and it takes Wiggly 15 minutes to run one lap. If all three pigs begin the race at the same
time, how many minutes will it take for all three pigs to be at the starting point again? Answer: _______________
9)
Grace is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is
the greatest number of arrangements that she can make if every balloon is used? Answer: _______________
10) Define the words below.
Real numbers:
Rational numbers:
Irrational numbers:
Integers:
Counting numbers or natural numbers:
Review your other vocabulary words from the GCF and LCM quiz.
11. Round each number to the underlined place value AND state the place value.
a) 9.469 __________________________ b) 736,560 __________________________ c) 89,995.3 __________________________ d) 434.182 __________________________ b) √
12) Find the value of X:
a) √
÷ √
= √
– √
13) Solve: Use ORDER OF OPERATIONS a) √
+ (√
– √
× √
)2 x √
+ √
b) √
× √
– ( + √
√
)2 – √
÷ √
)2 √
= √