1. Math Challenge
Grade 6

2. Maxine is taking 5 gallons of drinking water on a camping trip
Maxine is taking 5 gallons of drinking water on a camping trip. How many quarts of drinking water is Maxine taking on the camping trip?
1 Gallon = 4 Quarts

3. Make a proportion and solve for x!
Maxine is taking 5 gallons of drinking water on a camping trip. How many quarts of drinking water is Maxine taking on the camping trip?
Make a proportion and solve for x!
1 Gallon = 4 Quarts

4. Maxine is taking 5 gallons of drinking water on a camping trip
Maxine is taking 5 gallons of drinking water on a camping trip. How many quarts of drinking water is Maxine taking on the camping trip?
1 Gallon = 4 Quarts
1 Gallon
5 Gallons
4 Quarts
x Quarts

5. Maxine is taking 5 gallons of drinking water on a camping trip
Maxine is taking 5 gallons of drinking water on a camping trip. How many quarts of drinking water is Maxine taking on the camping trip?
1 Gallon = 4 Quarts
20 Quarts

6. A (3, 2), (7, 5), and (5, 8) B (2, 3), (7, 5), and (8, 5)
Which coordinates represent, in order, the locations of point R, point S, and point T ?
A (3, 2), (7, 5), and (5, 8)
B (2, 3), (7, 5), and (8, 5)
C (2, 3), (5, 7), and (8, 5)
D (3, 2), (5, 7), and (5, 8)

7. Label the coordinates on the graph first!
Which coordinates represent, in order, the locations of point R, point S, and point T ?
A (3, 2), (7, 5), and (5, 8)
B (2, 3), (7, 5), and (8, 5)
C (2, 3), (5, 7), and (8, 5)
D (3, 2), (5, 7), and (5, 8)

8. Label the coordinates on the graph first!
(5, 7)
Which coordinates represent, in order, the locations of point R, point S, and point T ?
(8, 5)
(2, 3)
A (3, 2), (7, 5), and (5, 8)
B (2, 3), (7, 5), and (8, 5)
C (2, 3), (5, 7), and (8, 5)
D (3, 2), (5, 7), and (5, 8)

9. Label the coordinates on the graph first!
(5, 7)
Which coordinates represent, in order, the locations of point R, point S, and point T ?
(8, 5)
(2, 3)
A (3, 2), (7, 5), and (5, 8)
B (2, 3), (7, 5), and (8, 5)
C (2, 3), (5, 7), and (8, 5)
D (3, 2), (5, 7), and (5, 8)

10. Label the coordinates on the graph first!
(5, 7)
Which coordinates represent, in order, the locations of point R, point S, and point T ?
(8, 5)
(2, 3)
A (3, 2), (7, 5), and (5, 8)
B (2, 3), (7, 5), and (8, 5)
C (2, 3), (5, 7), and (8, 5)
D (3, 2), (5, 7), and (5, 8)

11. David measures a side of a piece of wood
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the length. What is the area, in square feet, of the piece of wood?
A = lw

12. David measures a side of a piece of wood
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the length. What is the area, in square feet, of the piece of wood?
Draw a picture. Label each side of the rectangle. Then use the formula to figure out the area!
A = lw

13. David measures a side of a piece of wood
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the length. What is the area, in square feet, of the piece of wood?
Draw a picture. Label each side of the rectangle. Then use the formula to figure out the area!
A = lw
8 feet
4 feet
(half of 8 feet)

14. David measures a side of a piece of wood
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the length. What is the area, in square feet, of the piece of wood?
Draw a picture. Label each side of the rectangle. Then use the formula to figure out the area!
A = lw
8 feet
A = 32 feet2
4 feet
(half of 8 feet)

15. The spinner below is divided into 6 equal sections
The spinner below is divided into 6 equal sections. Isabel spins the arrow on the spinner once.
What is the probability the arrow will land on green?

16. What is the probability the arrow will land on green?
The spinner below is divided into 6 equal sections. Isabel spins the arrow on the spinner once.
What is the probability the arrow will land on green?
Only one out of the 6 parts on the spinner is green…

17. What is the probability the arrow will land on green?
The spinner below is divided into 6 equal sections. Isabel spins the arrow on the spinner once.
What is the probability the arrow will land on green?
Only one out of the 6 parts on the spinner is green, so there is a 1 out of 6 chance of spinning green, or 1/6.

20. The Associative Property of Multiplication:
(a . b) . c = a . (b . c)

21. A 8 B 10 C 12 D 14 What is the median, in millimeters, of the data?
The table below shows the average lengths of different types of beetles.
What is the median, in millimeters, of the data?
A 8
B 10
C 12
D 14

22. The table below shows the average lengths of different types of beetles.
What is the median, in millimeters, of the data?
Put the numbers in order and find the number in the middle of the set of numbers.

23. The table below shows the average lengths of different types of beetles.
What is the median, in millimeters, of the data?
6, 8, 8, 10, 16, 16, 20

24. The table below shows the average lengths of different types of beetles.
What is the median, in millimeters, of the data?
6, 8, 8, 10, 16, 16, 20

25. A 8 B 10 C 12 D 14 What is the median, in millimeters, of the data?
The table below shows the average lengths of different types of beetles.
What is the median, in millimeters, of the data?
A 8
B 10
C 12
D 14

26. A arc B chord C diameter D radius
The circle below has four labeled parts.
Which part of the circle does segment U represent?
A arc
B chord
C diameter
D radius

27. A arc B chord C diameter D radius
The circle below has four labeled parts.
Which part of the circle does segment U represent?
A arc
B chord
C diameter
D radius S
R, T

28. At a school carnival, a group of 47 students played the Fish Pond game
At a school carnival, a group of 47 students played the Fish Pond game. Each student in the group won a prize. A stuffed animal was won by 24 students, a rubber ball was won by 7 students, and the rest of the students won a baseball cap. What fraction of the group won a baseball cap?

29. At a school carnival, a group of 47 students played the Fish Pond game
At a school carnival, a group of 47 students played the Fish Pond game. Each student in the group won a prize. A stuffed animal was won by 24 students, a rubber ball was won by 7 students, and the rest of the students won a baseball cap. What fraction of the group won a baseball cap? 24
First, find out how many students won stuffed animals and rubber balls… + 7 31

30. At a school carnival, a group of 47 students played the Fish Pond game
At a school carnival, a group of 47 students played the Fish Pond game. Each student in the group won a prize. A stuffed animal was won by 24 students, a rubber ball was won by 7 students, and the rest of the students won a baseball cap. What fraction of the group won a baseball cap?
We know that 31 out of 47 students won stuffed animals and rubber balls. We need to subtract 31 from 47 to find out how many students won baseball caps. 47 - 31 16

31. 16 students out of 47 won a baseball cap:
At a school carnival, a group of 47 students played the Fish Pond game. Each student in the group won a prize. A stuffed animal was won by 24 students, a rubber ball was won by 7 students, and the rest of the students won a baseball cap. What fraction of the group won a baseball cap?
16 students out of 47 won a baseball cap: 47 - 31 16 16 47

32. 16 students out of 47 won a baseball cap:
At a school carnival, a group of 47 students played the Fish Pond game. Each student in the group won a prize. A stuffed animal was won by 24 students, a rubber ball was won by 7 students, and the rest of the students won a baseball cap. What fraction of the group won a baseball cap?
16 students out of 47 won a baseball cap: 16 47

33. Mr. Cohen wrote the expression below for his 3 cousins to use to find his age.
n 2 x
If n represents the number of cousins, what is Mr. Cohen’s age?
A 12
B 18
C 36
D 60

34. n 2 x 7 - 3 Remember your Order of Operations:
Please Excuse My Dear Aunt Sally
(Parentheses, Exponents, Multiply, Divide, Add, Subtract)
Mr. Cohen wrote the expression below for his 3 cousins to use to find his age.
n 2 x
If n represents the number of cousins, what is Mr. Cohen’s age?
A 12
B 18
C 36
D 60

35. Because Mr. Cohen has 3 cousins, remember to substitute 3 for n.
Mr. Cohen wrote the expression below for his 3 cousins to use to find his age.
n 2 x
If n represents the number of cousins, what is Mr. Cohen’s age?
A 12
B 18
C 36
D 60

36. Mr. Cohen wrote the expression below for his 3 cousins to use to find his age.
n 2 x
If n represents the number of cousins, what is Mr. Cohen’s age?
A 12
B 18
C 36
D 60

38. Cross multiply. If it is equal, then the proportion is correct!

39. Cross multiply. If it is equal, then the proportion is correct!

41. The lines around -1/4 mean they are asking for the ABSOLUTE VALUE of that number.

42. Absolute value is a number's distance from zero on a number line.
The lines around -1/4 mean they are asking for the ABSOLUTE VALUE of that number.
Absolute value is a number's distance from zero on a number line.

43. Absolute value is a number's distance from zero on a number line.
The lines around -1/4 mean they are asking for the ABSOLUTE VALUE of that number.
Absolute value is a number's distance from zero on a number line.

44. What algebraic equation represents “three times the difference of a number, x, and nine equals fifteen”?

45. What algebraic equation represents “three times the difference of a number, x, and nine equals fifteen”?

46. What algebraic equation represents “three times the difference of a number, x, and nine equals fifteen”?