Greatest Common Factor
Least Common Multiple
<>, Prime Factorization, and Problem Solving
Squares and Square Roots
Cubes and Cubed Roots
100

GCF of 4 and 10

2

100

LCM of 9 and 21

63

100

Write an inequality (<>) to compare the following numbers:

5.02   5.2

5.02 < 5.2

100

92

81

100

Cubed Root of 27

3

200

GCF of 30 and 75

15

200

LCM of 12 and 20

60

200

Write an inequality (<>) to compare the following numbers:

3 1/2   3.4

3 1/2 > 3.4

200

152

225

200

53

125

300

GCF of  84 and 56

14

300

LCM of 20 and 30

60

300

Write the number as a product of prime numbers.

54

54 = 2 x 3 x 3 x 3 Or

54 = 2 x 33

300

The square root of 361

19 

300

7x 5+ 10

8585

400

Express the sum of each pair as the product of the greatest common factor and another sum.

63 + 90

9(7+10)

400

LCM of 48 and 84

346

400

Write the number as the product of prime numbers.

580

580 = 2 x 2 x 5 x 29 or

580 = 2x 5 x 29
































































































































400

The square root of 576

24

400

Find two consecutive numbers whose cubes differ by 19.

2 and 3

500

Nicole has two ribbons.  The first ribbon measures 90 centimeters and the second string measures 75 centimeters.  She wants to cut the ribbons into equal lengths so she'll have a bunch of smaller ribbons that are all the same length.  What is the least number of ribbons of equal lengths that she can get? (Hint: The least number of smaller strings means each smaller piece is the largest it could possibly be.)

Each smaller ribbon will be 15 centimeters long.  The 90 cm ribbon will be cut into 6 pieces that are 15 cm each. The 75 cm ribbon will be cut into 5 pieces that are 15 cm each.  Together she will have 11 small pieces. 

500

Johnny takes 45 seconds to run around the track.  Ms. Hagan takes 60 seconds to run around the track.  If they both start at the same time, when will they both be back at the starting line, starting a new lap together?

180 seconds

500

There are 40 turnips, 32 carrots, and 28 tomatoes in a basket.  The vegetables are packed into bags. An equal number of EACH vegetable is put into each bag and all of the vegetables are packed into bags meaning that while the amount of turnips, carrots, and tomatoes differ every bag is the same.  What is the LEAST possible number of bags of vegetables packed?

4 bags.  Each bag has 10 turnips, 8 carrots, and 7 tomatoes.

500

Find two consecutive whole numbers whose squares differ by 9

4 and 5

500

Find two consecutive numbers whose cubes produce a sum of 91

3 and 4

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