Shari studied these pictures of fractions.

2. 2 4 2 5 2 6 2 3 Shari studied these pictures of fractions. What pattern might she correctly notice in the fractions? Increasing the denominator increases the value of the fraction. If the denominator stays the same and the numerator increases, the fraction names a smaller amount. Increasing the denominator by 2 cuts the size of the fraction in half. If the numerator stays the same and the denominator increases, the fractions names a smaller amount.

3. 2 4 2 5 2 6 2 3 Shari studied these pictures of fractions. What pattern might she correctly notice in the fractions? Increasing the denominator increases the value of the fraction. If the denominator stays the same and the numerator increases, the fraction names a smaller amount. Increasing the denominator by 2 cuts the size of the fraction in half. If the numerator stays the same and the denominator increases, the fractions names a smaller amount.

4. If these decimal numbers are changed to reduced fractional form, in which sequence does the denominator always increase? • 2, 0.2, 0.02, 0.002 • 0.02, 0.03, 0.04, 0.05 • 0.005, 0.05, 0.5, 5 • 0.25, 0.025, 0.26, 0.026

5. If these decimal numbers are changed to reduced fractional form, in which sequence does the denominator always increase? • 2, 0.2, 0.02, 0.002 • 0.02, 0.03, 0.04, 0.05 • 0.005, 0.05, 0.5, 5 • 0.25, 0.025, 0.26, 0.026

6. Mr. Hammond asked his class, “Does 2 divide into 435 evenly?” Who answered correctly? • Mia answered, “Yes, because the first digit is even, so it divides evenly.” • Payton answered, “Yes, because if you add up all the digits in 435, the sum is even, so it divides evenly.” • Julie answered, “No, because the last digit in 435 is odd, so it will not divide evenly.” • Max answered, “No, because 435 is not a factor of 2.”

7. Mr. Hammond asked his class, “Does 2 divide into 435 evenly?” Who answered correctly? • Mia answered, “Yes, because the first digit is even, so it divides evenly.” • Payton answered, “Yes, because if you add up all the digits in 435, the sum is even, so it divides evenly.” • Julie answered, “No, because the last digit in 435 is odd, so it will not divide evenly.” • Max answered, “No, because 435 is not a factor of 2.”

8. Kyra needs to select from the list all numbers divisible by 6.54, 62, 66, 72, 77, 84, 93 Which numbers should Kyra choose? • 54, 62, 72, 77, and 84 • 54, 72, 84, and 93 • 54, 66, 72, and 84 • 54, 66, 72, 84, and 93

9. Kyra needs to select from the list all numbers divisible by 6.54, 62, 66, 72, 77, 84, 93 Which numbers should Kyra choose? • 54, 62, 72, 77, and 84 • 54, 72, 84, and 93 • 54, 66, 72, and 84 • 54, 66, 72, 84, and 93

10. Which of these numbers is divisible by 3? • 61,234 • 63,344 • 66,471 • 67,214

11. Which of these numbers is divisible by 3? • 61,234 • 63,344 • 66,471 • 67,214

12. There are 36 fifth graders in art class. The art teacher wants to arrange their pictures on the wall so that one is in the first row, two are in the second row, three are in the third row, etc. How many rows of pictures will there be? • 8 rows • 9 rows • 10 rows • 11 rows

13. There are 36 fifth graders in art class. The art teacher wants to arrange their pictures on the wall so that one is in the first row, two are in the second row, three are in the third row, etc. How many rows of pictures will there be? • 8 rows • 9 rows • 10 rows • 11 rows

29. In Mr. Wiggen’s class of 31 students, several were absent with the flu on Monday. On Tuesday 2 more were absent. On Wednesday 2 more were absent. This trend continued, until only 15 people were present on Friday. How many students had been absent on Monday? • 4 • 6 • 7 • 8

30. In Mr. Wiggen’s class of 31 students, several were absent with the flu on Monday. On Tuesday 2 more were absent. On Wednesday 2 more were absent. This trend continued, until only 15 people were present on Friday. How many students had been absent on Monday? • 4 • 6 • 7 • 8

31. A rectangular piece of paper is folded in half. It is folded in half again. If the paper is folded in half three more times, how many sections will there be when the paper is completely unfolded? • 8 • 16 • 32 • 64

32. A rectangular piece of paper is folded in half. It is folded in half again. If the paper is folded in half three more times, how many sections will there be when the paper is completely unfolded? • 8 • 16 • 32 • 64

33. The librarian is setting up tables in the media center. He can place 4 chairs around one table. If he pushes 2 tables together, he can place six chairs around the table. If 10 people need to sit around the table, how many tables should the librarian push together? • 3 • 4 • 5 • 6 X X X X X X X X X X

34. The librarian is setting up tables in the media center. He can place 4 chairs around one table. If he pushes 2 tables together, he can place six chairs around the table. If 10 people need to sit around the table, how many tables should the librarian push together? • 3 • 4 • 5 • 6 X X X X X X X X X X

35. Josh wants to save $165.00 to buy a pair of roller blades. He plans to save $1 the first month, $3 the second month, $6 the third month, and $10 the fourth month. Josh’s Savings If Josh continues this savings pattern, how many months will it take Josh to save $165.00? • 5 months C. 9 months • 7 months D. 13 months

36. Josh wants to save $165.00 to buy a pair of roller blades. He plans to save $1 the first month, $3 the second month, $6 the third month, and $10 the fourth month. Josh’s Savings If Josh continues this savings pattern, how many months will it take Josh to save $165.00? • 5 months C. 9 months • 7 months D. 13 months

37. If _________________, which of the following is also true? • ___________________ • ___________________ • ___________________ • ___________________

38. If _________________, which of the following is also true? • ___________________ • ___________________ • ___________________ • ___________________

39. A rabbit, a squirrel, and a hamster eat more than two squirrels eat. A rabbit eats more than a hamster eats. Which of the following is also true? • Two rabbits eat more than one squirrel heats. • One squirrel eats as much as two hamsters eat. • One rabbit eats more than one squirrel eats. • One rabbit eats less than one hamster eats.

40. A rabbit, a squirrel, and a hamster eat more than two squirrels eat. A rabbit eats more than a hamster eats. Which of the following is also true? • Two rabbits eat more than one squirrel heats. • One squirrel eats as much as two hamsters eat. • One rabbit eats more than one squirrel eats. • One rabbit eats less than one hamster eats.

41. Patrick and Susan both collect stamps. Susan has 5 times as many stamps as Patrick. If is used to represent the number of stamps that Patrick has, which expression describes the total number of stamps that Patrick and Susan have together? • (5 + ) x • (5 - ) + • (5 + ) + • (5 x ) +

42. Patrick and Susan both collect stamps. Susan has 5 times as many stamps as Patrick. If is used to represent the number of stamps that Patrick has, which expression describes the total number of stamps that Patrick and Susan have together? • (5 + ) x • (5 - ) + • (5 + ) + • (5 x ) +

43. 50 Using the diagram above, which of the following statements is true? A. B. C. D.

44. 50 Using the diagram above, which of the following statements is true? A. B. C. D.

45. Which word problem matches this equation? 3 x + 2 = 11 • Mariah ate two slices of pizza and drank three cups of water. If she spent $11, how much did one slice of pizza cost? • Shannon chopped three onions in order to make 11 servings of onion rings. How much onion was used for one serving? • Beth swam for three hours on Saturday and two hours on Sunday. If she swims two hours each day, how many more days will it take her to swim a total of 11 hours? • Hilary washed pickup trucks for $3 each and cars for $2 each. If she earned $11 in one morning, and washed only one car, how many pickup trucks did she wash?

46. Which word problem matches this equation? 3 x + 2 = 11 • Mariah ate two slices of pizza and drank three cups of water. If she spent $11, how much did one slice of pizza cost? • Shannon chopped three onions in order to make 11 servings of onion rings. How much onion was used for one serving? • Beth swam for three hours on Saturday and two hours on Sunday. If she swims two hours each day, how many more days will it take her to swim a total of 11 hours? • Hilary washed pickup trucks for $3 each and cars for $2 each. If she earned $11 in one morning, and washed only one car, how many pickup trucks did she wash?

47. If the greatest common factor (GCF) of s and r is 1 and the GCF of r and t is 4, then which of the following must be true? • r is even. • t is odd. • r + s is even. • s x t is odd.

48. If the greatest common factor (GCF) of s and r is 1 and the GCF of r and t is 4, then which of the following must be true? • r is even. • t is odd. • r + s is even. • s x t is odd.

49. Shannon began her book by reading five pages the first day, eight pages the second day, eleven pages the third day, 14 pages the fourth day, and so on. How many pages will she read on the twelfth day if she continues this pattern? • 35 pages • 38 pages • 41 pages • 44 pages

50. Shannon began her book by reading five pages the first day, eight pages the second day, eleven pages the third day, 14 pages the fourth day, and so on. How many pages will she read on the twelfth day if she continues this pattern? • 35 pages • 38 pages • 41 pages • 44 pages