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Graphing Real-World Problems: A 6th Grade Challenge

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A farmer has a plot of land shaped like a rectangle. The length of the plot is 10 meters and the width is 5 meters. Plot the points representing the corners of the rectangle on a graph. What are the coordinates of the corners?

a)

[(0,0), (10,0), (10,5), (0,5)]

b)

[(0,0), (10,0), (0,5), (10,5)]

c)

[(0,0), (10,5), (0,10), (10,0)]

d)

[(0,0), (5,0), (5,10), (0,10)]

2.

A school is planning to build a playground. They have a budget of $5000. If each piece of equipment costs $250, how many pieces can they buy? Plot this information on a graph with the budget on the x-axis and the number of pieces on the y-axis.

a)

10 pieces

b)

15 pieces

c)

25 pieces

d)

20 pieces

3.

A car travels 60 miles in 1 hour. If it continues at the same speed, how far will it travel in 3 hours? Plot the distance on a graph with time on the x-axis and distance on the y-axis. What point represents the distance after 3 hours?

a)

300 miles

b)

180 miles

c)

240 miles

d)

120 miles

4.

A store sells apples for $2 each and bananas for $1 each. If you buy 3 apples and 4 bananas, plot the total cost on a graph where the x-axis represents the number of apples and the y-axis represents the total cost. What point do you plot?

a)

(2, 8)

b)

(3, 10)

c)

(4, 12)

d)

(3, 7)

5.

In a science experiment, a plant grows 2 cm each week. If it starts at 5 cm, plot the height of the plant over 5 weeks. What will be the height of the plant at week 5?

a)

15 cm

b)

10 cm

c)

12 cm

d)

20 cm

6.

A bike rental shop charges a flat fee of $10 plus $5 for each hour rented. If you rent a bike for 3 hours, plot the total cost on a graph. What point represents the cost for 3 hours?

a)

(3, 20)

b)

(3, 25)

c)

(3, 30)

d)

(3, 15)

7.

A student scores 80, 85, and 90 on three tests. Plot these scores on a graph with the test number on the x-axis and the score on the y-axis. What is the average score?

a)

82

b)

85

c)

87

d)

90

8.

A local bakery sells cupcakes for $3 each. If you buy 6 cupcakes, plot the total cost on a graph where the x-axis represents the number of cupcakes and the y-axis represents the total cost. What point do you plot for 6 cupcakes?

a)

(5, 15)

b)

(6, 12)

c)

(7, 21)

d)

(6, 18)

9.

A train travels at a speed of 50 miles per hour. How far will it travel in 4 hours? Plot this information on a graph with time on the x-axis and distance on the y-axis. What point represents the distance after 4 hours?

a)

150 miles

b)

250 miles

c)

200 miles

d)

100 miles

10.

A gardener plants 5 rows of flowers, with 4 flowers in each row. Plot the total number of flowers on a graph where the x-axis represents the number of rows and the y-axis represents the total number of flowers. What point do you plot for 5 rows?

a)

(5, 20)

b)

(5, 15)

c)

(6, 24)

d)

(4, 16)