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### Math Challenge

7th Grade

Challenge 1

Lazlo rents bicycles by the hour. The amount of money he charges for renting a bicycle is shown in the table below.

- Based on the table, which of the following statements best describes the amount of money Lazlo charges for renting a bicycle?
- A. He charges $10 for each hour of rental time.
- B. He charges $15 for each hour of rental time.
- C. He charges $15 for the first hour plus $5 for each additional hour
- of rental time.
- D. He charges $15 for the first hour plus $10 for each additional
hour of rental time.

Challenge 2

- In the year 2000, the United States House of Representatives had 35 more members than 4 times the number of members in the United States Senate.
- Let s represent the number of members in the Senate.
- Which expression could be used to find the number of members in the House of Representatives?
- A. 4(s - 35)
- B. 4s - 35
- C. 4(s + 35)
- D. 4s + 35

Challenge 3

Points A, B, C, and D are shown on the number line below.

- Which point best represents the location of -5.75?
- A. point A
- B. point B
- C. point C
- D. point D

Challenge 4

Figures ABCD and EFGH are similar. The ratio of their

corresponding sides is 2:1.

What is the length of GH?

- 2 units
- 3 units
- 4.5 units
- 18 units

Challenge 5

The graph corresponds to Mr. Davis’s shopping trip to a mall by car.

What most likely happened between 6:30 P.M. and 7:00 P.M.?

Mr. Davis:

- A) was looking for a parking space.
- B) got tired and went home.
- C) was at the mall shopping.
- D) backed out of his driveway.

Challenge 8

- 8 feet
- 8.5 feet
- 13 feet
- 13.5 feet

Challenge 9

- Y = 3x + 2
- Y = 2.5x + 6
- Y = 3.5x + 2
- Y = 3x + 6

Challenge 11

- $0.75
- $0.89
- $1.33
- $1.76

Challenge 12

What statement is supported by the graph?

- A. Tanesha practice twice as many new words on Saturday as on Friday.
- B. Tanesha practiced 5 time as many new words on Wednesday as
- Monday.
- C. Beginning on Tuesday, Tanesha practiced more new words each day
- on the previous day.
- D. Thursday, Tanesha practiced a greater number of new words than on
Tuesday and Wednesday combined.

Challenge 16

Paul plotted points to show the locations of his friends’houses.

Challenge 18

Hilde wanted to draw a parallelogram on a coordinate

plane.

She gave the following

coordinates for three of the

four vertices of the

parallelogram: (3, 3), (5, 1),

and (1, -3).

Which coordinates best represent

the location of the fourth

vertex of the figure?

A. (1, -1)

B. (-1, -1)

C. (-1, 1)

D. (5, -4)

Challenge 19

Nina is taking a dance class twice a weeks

for 6 weeks. Each class will last hours.

How many hours all together will Nina have

spent in dance class at the end of the 6

weeks?

Challenge 23

A brochure advertises a new public golf course. The cover

of the brochure shows a picture of the 18th hole on the

course.

The distance from the tee to the 18th hole is 4.5 inches on the

brochure. Based on the scale above, what is the distance in yards?

- A. 900 yards
- B. 450 yards
- C. 225 yards
- D. 113 yards

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