1. Math Challenge
Grade 5

2. Dante’s bath towel is 1 yard long
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
A 3
B 12
C 36
D 108

3. How many inches are in a yard?
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
How many inches are in a yard?

4. Dante’s bath towel is 1 yard long
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
How many inches are in a yard?
Maybe we should start by figuring out how many feet are in 1 yard…

5. Dante’s bath towel is 1 yard long
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
3 feet = 1 yard

6. How many inches equal 1 foot?
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
How many inches equal 1 foot?

7. Dante’s bath towel is 1 yard long
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
12 inches = 1 foot

8. So how many inches are in 1 yard?
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
We know:
12 inches = 1 foot and
3 feet = 1 yard
So how many inches are in 1 yard?

9. Dante’s bath towel is 1 yard long
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
I could multiply 12 inches by 3 (the number of feet in a yard) to find the answer…

10. Dante’s bath towel is 1 yard long
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
A 3
B 12
C 36
D 108

11. Dante’s bath towel is 1 yard long
Dante’s bath towel is 1 yard long. What measure is equivalent to 1 yard, in inches?
A 3
B 12
C 36
D 108

12. Penn draws a triangle with one 90° angle
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?

13. I need to draw a picture…
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
I need to draw a picture…

14. I need to draw a picture and label it with what I know…
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
I need to draw a picture and label it with what I know…

15. All of the angles of a triangle add up to 180°.
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
All of the angles of a triangle add up to 180°.
90°

16. Penn draws a triangle with one 90° angle
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
I can subtract 90° from 180° to see how many degrees are left for the other 2 angles to share.
90°

17. Penn draws a triangle with one 90° angle
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
180 - 90
90°

18. There are 90° to share between the other 2 angles.
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
There are 90° to share between the other 2 angles.
180 - 90 90
90°

19. … So the 2 angles I choose should add up to 90°.
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
… So the 2 angles I choose should add up to 90°.
180 - 90 90
90°

20. … So the 2 angles I choose should add up to 90°.
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
… So the 2 angles I choose should add up to 90°.

21. Penn draws a triangle with one 90° angle
Penn draws a triangle with one 90° angle. What could be the measures of the other two angles in Penn’s triangle?
= 90°

23. I need to divide the numerator (top of the fraction) by the denominator (bottom of the fraction).

24. 27 / 4 = 6 R3
If I write that as a mixed number, the remainder is the numerator of the fraction and 4 is the denominator.

25. 27 / 4 = 6 R3
If I write that as a mixed number, the remainder is the numerator of the fraction and 4 is the denominator.

27. A factor is one of 2 numbers that can be evenly divided into a number...

28. I will write out the list of factors for each number and see what is the greatest factor they have in common.

29. 8: 1, 2, 4, 8
16: 1, 2, 4, 8, 16

30. 8: 1, 2, 4, 8
16: 1, 2, 4, 8, 16

31. 8: 1, 2, 4, 8
16: 1, 2, 4, 8, 16

33. In order to solve for n, I need to subtract 65 from both sides of the equation, so n is by itself behind the equals sign.

34. -65
- 65
n =

35. -65
- 65
n =
n = 245

38. A 8 meters B 10 meters C 16 meters D 20 meters
What is the perimeter of the rectangle shown below?
A 8 meters
B 10 meters
C 16 meters
D 20 meters

39. A 8 meters B 10 meters C 16 meters D 20 meters
What is the perimeter of the rectangle shown below?
Perimeter is the sum of the sides. First I will label the other 2 sides.
A 8 meters
B 10 meters
C 16 meters
D 20 meters

40. 2 m 8 m A 8 meters B 10 meters C 16 meters D 20 meters
What is the perimeter of the rectangle shown below?
2 m
8 m
Perimeter is the sum of the sides. First I will label the other 2 sides.
A 8 meters
B 10 meters
C 16 meters
D 20 meters

41. Then I will add up the sides.
What is the perimeter of the rectangle shown below?
2 m
8 m
Then I will add up the sides.

42. What is the perimeter of the rectangle shown below?=

43. What is the perimeter of the rectangle shown below?

44. A 8 meters B 10 meters C 16 meters D 20 meters
What is the perimeter of the rectangle shown below?
A 8 meters
B 10 meters
C 16 meters
D 20 meters

45. A 8 meters B 10 meters C 16 meters D 20 meters
What is the perimeter of the rectangle shown below?
A 8 meters
B 10 meters
C 16 meters
D 20 meters

46. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
A 0.7
B 0.07 C
D 7,000

47. First, I’ll look for keywords in the question.
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
First, I’ll look for keywords in the question.
A 0.7
B 0.07 C
D 7,000

48. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
The T-H-S tells me the answer is a decimal, so I can eliminate choice D!
A 0.7
B 0.07 C
D 7,000

49. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
Now, I just need to know the number of decimal places the answer should have.
A 0.7
B 0.07 C
D 7,000

50. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
ones

51. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
tenths
ones

52. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
hundredths
tenths
ones

53. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
hundredths
thousandths
tenths
ones

54. My answer should have 3 decimal places.
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
My answer should have 3 decimal places.
hundredths
thousandths
tenths
ones

55. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
A 0.7
B 0.07 C
D 7,000

56. Kay won a race by seven thousandths of a second
Kay won a race by seven thousandths of a second. Which number below represents seven thousandths?
A 0.7
B 0.07 C
D 7,000

58. A quick way to solve this is to cross multiply
A quick way to solve this is to cross multiply. If it is equal, then the fractions are equivalent.

59. 10 = 10

60. 10 = 10
9 = 9

61. 10 = 10
9 = 9
25 = 25

62. 10 = 10
9 = 9
25 = 25
12 = 9

63. 10 = 10
9 = 9
25 = 25
12 = 9

64. The table below shows some of the snack items sold at a football game.
What is the order of the items in the table from the least expensive to the most expensive?
A ice cream, chips, soda, hot dog, popcorn
B popcorn, hot dog, soda, chips, ice cream
C ice cream, hot dog, chips, soda, popcorn
D popcorn, soda, chips, ice cream, hot dog

65. The table below shows some of the snack items sold at a football game.
What is the order of the items in the table from the least expensive to the most expensive?
First I will number each of the snacks on the chart from least to greatest.
A ice cream, chips, soda, hot dog, popcorn
B popcorn, hot dog, soda, chips, ice cream
C ice cream, hot dog, chips, soda, popcorn
D popcorn, soda, chips, ice cream, hot dog

66. The table below shows some of the snack items sold at a football game.5 3 2 1 4
What is the order of the items in the table from the least expensive to the most expensive?
First I will number each of the snacks on the chart from least to greatest.
A ice cream, chips, soda, hot dog, popcorn
B popcorn, hot dog, soda, chips, ice cream
C ice cream, hot dog, chips, soda, popcorn
D popcorn, soda, chips, ice cream, hot dog

67. Then I can look at the answers to see which are in the correct order.
The table below shows some of the snack items sold at a football game. 5 3 2 1 4
What is the order of the items in the table from the least expensive to the most expensive?
Then I can look at the answers to see which are in the correct order.
A ice cream, chips, soda, hot dog, popcorn
B popcorn, hot dog, soda, chips, ice cream
C ice cream, hot dog, chips, soda, popcorn
D popcorn, soda, chips, ice cream, hot dog

68. Popcorn is most expensive, so I can eliminate B and D right away.
The table below shows some of the snack items sold at a football game. 5 3 2 1 4
What is the order of the items in the table from the least expensive to the most expensive?
Popcorn is most expensive, so I can eliminate B and D right away.
A ice cream, chips, soda, hot dog, popcorn
B popcorn, hot dog, soda, chips, ice cream
C ice cream, hot dog, chips, soda, popcorn
D popcorn, soda, chips, ice cream, hot dog

69. The table below shows some of the snack items sold at a football game.5 3 2 1 4
What is the order of the items in the table from the least expensive to the most expensive?
A ice cream, chips, soda, hot dog, popcorn
B popcorn, hot dog, soda, chips, ice cream
C ice cream, hot dog, chips, soda, popcorn
D popcorn, soda, chips, ice cream, hot dog

70. The table below shows some of the snack items sold at a football game.5 3 2 1 4
What is the order of the items in the table from the least expensive to the most expensive?
A ice cream, chips, soda, hot dog, popcorn
B popcorn, hot dog, soda, chips, ice cream
C ice cream, hot dog, chips, soda, popcorn
D popcorn, soda, chips, ice cream, hot dog

71. What is the value of the expression 4 + 16 ÷ 4 - 3 ?
B 5
C 11
D 20

72. A 2 B 5 C 11 D 20 What is the value of the expression 4 + 16 ÷ 4 - 3 ?
Remember your Order of Operations:
Please Excuse My Dear Aunt Sally
(Parentheses, Exponents, Multiply, Divide, Add, Subtract)
A 2
B 5
C 11
D 20

73. A 2 B 5 C 11 D 20 What is the value of the expression 4 + 16 ÷ 4 - 3 ?
In this number sentence, solve 16 ÷ 4 first.

74. What is the value of the expression 4 + 16 ÷ 4 - 3 ?
A 2
B 5
C 11
D 20
Next, add and then subtract 3.

75. What is the value of the expression 4 + 16 ÷ 4 - 3 ?
A 2
B 5
C 11
D 20

76. What is the value of the expression 4 + 16 ÷ 4 - 3 ?
B 5
C 11
D 20

77. Deena learned the population of her town is 5,342
Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?
A 5,500
B 5,400
C 5,300
D 5,000

78. Look for key words in the question.
Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?
Look for key words in the question.
A 5,500
B 5,400
C 5,300
D 5,000

79. Look at the choices and underline the number in the hundreds place.
Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?
Look at the choices and underline the number in the hundreds place.
A 5,500
B 5,400
C 5,300
D 5,000

80. Look at the number to the right. Is it 5 or more ? Or is it 4 or less?
Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?
Look at the number to the right. Is it 5 or more ? Or is it 4 or less?
A 5,500
B 5,400
C 5,300
D 5,000
5,342

81. Deena learned the population of her town is 5,342
Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?
A 5,500
B 5,400
C 5,300
D 5,000

82. Deena learned the population of her town is 5,342
Deena learned the population of her town is 5,342. What is 5,342 rounded to the nearest hundred?
A 5,500
B 5,400
C 5,300
D 5,000

83. The diagram below shows two skateboard ramps
The diagram below shows two skateboard ramps. The ramps are similar triangles.
Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?

84. First look at the corresponding sides of each triangle.
The diagram below shows two skateboard ramps. The ramps are similar triangles.
Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?
First look at the corresponding sides of each triangle.

85. Now make ratios for each corresponding side.
The diagram below shows two skateboard ramps. The ramps are similar triangles.
Now make ratios for each corresponding side. 5 12 13 10 24 26

86. Reduce the fractions to lowest terms.
The diagram below shows two skateboard ramps. The ramps are similar triangles.
Reduce the fractions to lowest terms. 5 12 13 10 24 26

87. Reduce the fractions to lowest terms.
The diagram below shows two skateboard ramps. The ramps are similar triangles.
Reduce the fractions to lowest terms. 5 12 13 10 24 26 1 2

88. The diagram below shows two skateboard ramps
The diagram below shows two skateboard ramps. The ramps are similar triangles.
Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?

89. The diagram below shows two skateboard ramps
The diagram below shows two skateboard ramps. The ramps are similar triangles.
Which fraction represents the ratio of the measures of the smaller skateboard ramp to the measures of the larger skateboard ramp?

90. Devon is practicing writing fractions on a number line
Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

91. 1/5 is less than 1, so I can eliminate B.
Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?
1/5 is less than 1, so I can eliminate B.

92. 1 1/5 is greater than 1, so I can eliminate D.
Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?
1 1/5 is greater than 1, so I can eliminate D.

93. Devon is practicing writing fractions on a number line
Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?
In choice C, they have placed 1/5 half-way between 0 and 1. 1/5 does not equal ½.

94. Devon is practicing writing fractions on a number line
Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

95. Devon is practicing writing fractions on a number line
Devon is practicing writing fractions on a number line. Which number line shows the fractions in the correct locations?

96. A 0.2 meter B 0.5 meter C 0.625 meter D 0.635 meter
Tony has a ribbon that measures 0.75 meter in length. He cuts meter off the ribbon and gives it to a friend. How much ribbon is left?
A 0.2 meter
B 0.5 meter
C meter
D meter

97. Look for keywords and work it out on paper!
Tony has a ribbon that measures 0.75 meter in length. He cuts meter off the ribbon and gives it to a friend. How much ribbon is left?
Look for keywords and work it out on paper!
0.750 -
0.125

98. Make sure the decimal points line up!
Tony has a ribbon that measures 0.75 meter in length. He cuts meter off the ribbon and gives it to a friend. How much ribbon is left?
Make sure the decimal points line up! 4 10
0.750 -
0.125 5

99. Tony has a ribbon that measures 0. 75 meter in length. He cuts 0
Tony has a ribbon that measures 0.75 meter in length. He cuts meter off the ribbon and gives it to a friend. How much ribbon is left?
Subtract carefully. 4 10
0.750 -
0.125 2 5

100. Is this answer one of the choices?
Tony has a ribbon that measures 0.75 meter in length. He cuts meter off the ribbon and gives it to a friend. How much ribbon is left?
Is this answer one of the choices? 4 10
0.750 -
0.125 . 6 2 5

101. A 0.2 meter B 0.5 meter C 0.625 meter D 0.635 meter
Tony has a ribbon that measures 0.75 meter in length. He cuts meter off the ribbon and gives it to a friend. How much ribbon is left?
A 0.2 meter
B 0.5 meter
C meter
D meter

102. A 0.2 meter B 0.5 meter C 0.625 meter D 0.635 meter
Tony has a ribbon that measures 0.75 meter in length. He cuts meter off the ribbon and gives it to a friend. How much ribbon is left?
A 0.2 meter
B 0.5 meter
C meter
D meter