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Unit 1, Part 2 Test: Number Sense
Review Packet
List the following integers in order from least to greatest.
1.
9, 0, -6, -17, 2, -3
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2.
-20, 15, 4, 0, -11, -10
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List the following integers in order from greatest to least.
3.
14, -1, -7, 15, -3, -15
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4.
17, -2, 2, 13, -17, 0
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Express the given situation using an appropriate integer.
5.
The temperature dropped 15° F.
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6.
The NY Giants gained 8 yards on first down.
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What are prime and composite numbers?
7.
A prime number is ______________________________________________
_____________________________________________________________.
8.
A composite number is __________________________________________
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9.
List the first ten prime numbers.
_____, _____, _____, _____, _____, _____, _____, _____, _____, _____
10.
List the first ten composite numbers.
_____, _____, _____, _____, _____, _____, _____, _____, _____, _____
Find the prime factorization of each number.
11.
21
PF =
12.
36
PF =
List all of the factors for each number.
13.
16
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14.
54
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Find the greatest common factor (GCF) for each set of numbers. Show your work!
15.
18 and 27
16.
24 and 44
17.
15 and 16
18.
12, 36, and 102
List the first ten multiples of each number.
19.
10
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20.
12
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Find the least common multiple (LCM) for each set of numbers. Show your work!
21.
2 and 7
22.
14 and 28
23.
10 and 25
24.
4, 12, and 15
Solve the following word problem by finding GCF. Show your work!
25.
Danny is organizing his art supplies. He has 15 red markers, 20 blue
markers, and 30 green markers. He wants to put the markers into groups so
there is the same number of markers in each group.
a. What is the greatest number of markers he can put in each group?
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b. How many groups of red, blue, and green markers will Danny have?
_____________________________________________________________
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Solve the following word problem by finding LCM. Show your work!
26.
You are purchasing hamburgers, rolls, and plates for an upcoming barbeque.
Hamburgers are sold in packs of 4, rolls are sold in packs of 8, and plates are
sold in packs of 10.
a. What is the least number of each item you can purchase so you have the
same number of hamburgers, rolls, and plates?
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b. How many packs of each item do you need to buy?
_____________________________________________________________
_____________________________________________________________
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Unit 2, Part 2 Test: Review Packet
Answer Key
1.
-17, -6, -3, 0, 2, 9
2.
-20, -11, -10, 0, 4, 15
16.
24 – 1, 2, 3, 4, 6, 8, 12, 24
44 – 1, 2, 4, 11, 22, 44
GCF = 4
3.
15, 14, -1, -3, -7, -15
4.
17, 13, 2, 0, -2, -17
15 – 1, 3, 5, 15
16 – 1, 2, 4, 8, 16
5.
-15
GCF = 1
6.
8
7.
A prime number is a number
with only two factors – one and
itself.
17.
8.
A composite number is a
number with more than two
factors.
18.
12 – 1, 2, 3, 4, 6, 12
36 – 1, 2, 3, 4, 9, 12, 18, 36
102 – 1, 2, 3, 6, 17, 34, 51, 102
GCF = 3
19.
10 – 10, 20, 30, 40, 50, 60, 70, 80, 90,
100
20.
12 – 12, 24, 36, 48, 60, 72, 84, 96,
108, 120
9.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
10.
4, 6, 8, 9, 10, 12, 14, 15, 16, 18
21.
2 x 7 = 14
LCM = 14
11.
PF = 3 x 7 = 21
22.
28 ÷ 14 = 2
LCM = 28
12.
PF = 2 x 2 x 3 x 3 = 36 or
PF = 22 x 32 = 36
23.
10 – 10, 20, 30, 40, 50
25 – 25, 50
13.
16 – 1, 2, 4, 8, 16
14.
54 – 1, 2, 3, 6, 9, 18, 27, 54
15.
18 – 1, 2, 3, 6, 9, 18
27 – 1, 3, 9, 27
4 – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,
44, 48, 52, 56, 60
12 – 12, 24, 36, 48, 60
15 – 15, 30, 45, 60
GCF = 9
LCM = 60
LCM = 50
24.
25a. 15 – 1, 3, 5, 15
20 – 1, 2, 4, 5, 10, 20
30 – 1, 2, 3, 5, 6, 10, 15, 30
GCF = 5
Danny can put 5 markers in each group.
25b. 15 ÷ 5 = 3
20 ÷ 5 = 4
30 ÷ 5 = 6
Danny will have 3 groups of red markers, 4 groups of blue markers, and 6 groups
of green markers.
26a. 4 – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
8 – 8, 16, 24, 32, 40
10 – 10, 20, 30, 40
LCM = 40
I can buy 40 of each item.
26b. 40 ÷ 4 = 10
40 ÷ 8 = 5
40 ÷ 10 = 4
I need to buy 10 packs of hamburgers, 5 packs of rolls, and 4 packs of plates.