1.cdn.edl.io Web viewWord problems #7. A red light flashes ... c) 27 and 35. d) 40 and 54. e) 36 and 50. Find the GCF of two whole numbers. # 11. Find the GCF of 20 and 32 using METHOD

Name (First/Last) _____________________________ Date__________________Period______________

Math 6: Pre-AlgebraProblem Packet

September 19-23

Least Common Multiple: Method 1

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#1. Use Method 1 to find the LCM of 3 and 7


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Least Common Multiple : Method 2



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Least Common Multiple: Method 3: Dividing by prime factor

#5. Find the LCM using Method 3 of 5 and 8

#6. Find the LCM using Method 3 of 9 and 11

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Word problems

#7. A red light flashes every 14 minutes. A blue light flashes every 24 minutes. When will the two lights flash together again, if they last flashed together at 8am?

#8. a) Find the product of 84 and 90

b) Find the product of the greatest common factor and the least common multiple of 84 and 90

c) What do you observe about your answers to parts a) and b)?

d) Choose two other numbers and repeat parts a) and b). Do you get the same results?

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Review of Prime Factorization, GCF, GCF with Distributive Property, and LCM

#9. Express each number as a product of its prime factors:

a) 6

b) 144

c) 36

d) 81

e) 900

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#10. Identify the common factors of the following numbers:

a) 10 and 28

b) 16 and 24

c) 27 and 35

d) 40 and 54

e) 36 and 50

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Find the GCF of two whole numbers.

# 11. Find the GCF of 20 and 32 using METHOD 1, the listing method.

#12. Find the GCF of 45 and 75 using METHOD 1, the listing method.

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GCF: Method 2: Prime Factorization method of finding GCF

#13. Use Method 2 to find GCF of 48 and 72

#14. Use Method 2 to find GCF of 12 and 96

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GCF: Method 3: Dividing by a Prime Factor to find GCF

#15. Find the GCF using Method 3 of 18 and 45

#16. Find the GCF using Method 3 of 24 and 64

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USING GCF with the Distributive Property

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#17. Express the sum of each pair of numbers as a product of the greatest common factor of the numbers and another sum:

a) 35 + 91

b) 60+85

c) 24+64

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#18. Tim has a bag of 36 orange-flavoured sweets and Peter has a bag of 44 grape-flavoured sweets. They have to divide up the sweets into small trays with equal number of sweets; each tray containing either orange-flavoured or grape-flavoured sweets only. If there is no remainder, find the largest possible number of sweets in each tray.

Answer: ___________sweets

#19. Martin is pasting pieces of square colored paper of equal size onto a board measuring 72 cm by 90 cm. If only whole square pieces are used, and the board is to be completely covered, find the largest possible length of the side of each square colored paper.

Answer: _______________cm

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#20. Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without remainder. Find the greatest possible length of the pieces.

Answer: _____________cm

#21. On a track for remote-controlled racing cars, racing car A completes the track in 28 seconds, while racing car B completes it in 24 seconds. If they both start at the same time, after how many seconds will they be side by side again?

Answer: _________ seconds

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Lesson 1.4 Squares and Square Roots

Remember in base and exponent form, the base is a repeating factor, and the exponent tells you how many times to repeat it.

#22 Find the square of the following numbers:

a) 2 b) 6

c) 9 d) 11

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#23. Find the square root of each number:

a) 25 b) 64

c) 144 d) 196

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#24.

#25.

#26.

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CUBES AND CUBE ROOTS

#27. Find the cubes of the following numbers:

a) 5

b) 6

c) 9

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#28. Find the cube root of the following numbers:

a) 216

b) 243

c) 1,000

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#29. Find the value of the following:

a)

b)

c)

d)

e)

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Documents

1.cdn.edl.io Web viewWord problems #7. A red light flashes ... c) 27 and 35. d) 40 and 54. e) 36 and 50. Find the GCF of two whole numbers. # 11. Find the GCF of 20 and 32 using METHOD