6th Mathematics Mock EOG

  1. A switch on a garden sprinkler controls the distance the water sprays.
  • When the switch is set at the number 3, the water reaches a distance of 2 feet.
  • When the switch is set at the number 6, the water reaches a distance of 4 feet.
  • This rate of change remains the same as the switch is set to different numbers.
At what number should the switch be set to in order to make the water reach a distance of 12 feet?
A. 8
B. 13
C. 14
D. 18
/ 4. Simon is using a recipe that calls for pint of orange juice. He has pint of orange juice. He stated he has enough orange juice to make recipes. Explain whether or not Simon's statement is true.
  1. An airplane left Atlanta with 52 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?
A. 117
B. 127
C. 156
D. 208
/ 5. Melinda determined that . Explain why Melinda is incorrect.
  1. Otto has 24 purple beads and 42 white beads to use for a pattern. He decided to find the greatest common factor of 24 and 42 to help him choose what pattern to use. Which expression uses the greatest common factor to represent the total number of purple and white beads Otto has?
A.
B.
C.
D.
/ 6. Explain why the expression can be written as an equivalent expression with a single term.

7. A fire truck sprays 17 gallons of water per second on a fire.
Part A
Write and solve an equation to find the number of seconds, x , the truck takes to spray 1,513 gallons of water on a fire. Show your work.
Part B
There are 25 fire fighters who work at a fire station. Twenty of the fire fighters work on weekdays, and the rest of the fire fighters work on the weekends. What is the ratio of the number of fire fighters who work on the weekends to the number of fire fighters who work on weekdays? Explain your answer.
Part C
It takes fire fighters 3 hours to put out 1 fire. At that rate, how long would it take the fire fighters to put out 5 fires? Show your work or explain your answer.

8. A jazz band plans to sell 425 tickets to their spring concert. If each of the 18 band members received the same number of tickets to sell, how many unassigned tickets would still be remaining to sell?
  1. 11
  2. 23
  3. 407
  4. 6
/ 11. DeSean found the volume of a right rectangular prism by packing it with unit cubes. He used cubes that measured centimeter (cm) by cm by cm to pack into the prism.

What is the volume of the prism in cubic cm?
9. The graph shows the number of calories, c , in different numbers of apples, a .

Daniel wrote the equation to represent the graph. Which error did Daniel make?
A. He chose a positive coefficient.
B. He reversed the variables in the equation.
C. He did not include the point where the graph intercepts the y -axis.
D. He chose a coefficient that is half the value of the correct coefficient.
/ 12. The diagram shows a top view of a concrete foundation for a tool shed. All of the angles are right angles and the dimensions are in feet.

What is the area of the foundation?
A. 234 square feet
B. 252 square feet
C. 270 square feet
D. 288 square feet
10. The total cost for 5 cupcakes is $6.00. What is the total cost for 3 cupcakes at the same rate?
A. $1.20
B. $2.50
C. $3.60
D. $4.00
/ 13. Ms. Hall wrote the equation on the board. What value of x makes the equation true?

14. Nolan recorded the number of hours, he spent reading over the summer for a library reading program.
Part A

Taylor read for twice as many hours as Nolan. If Taylor read for 54 hours, write an equation that can be used to find the number of hours Nolan read. Solve the equation to determine the number of hours Nolan read.
Part B
McKinley read more hours than Nolan. Write an inequality showing the number of hours, that McKinley read.
Part C
McKinley is saving for a book at the bookstore. McKinley’s mother gave her $0.15 for each full hour she read during the summer. What is the least amount of money McKinley earned? Show your work or explain your answer.
Part D
The book McKinley is saving for costs $6.90. How many hours would McKinley need to read to earn $6.90?

15. The net of a three-dimensional figure is shown on the grid.

What is the surface area of the three-dimensional figure represented by the net?
A. 28 square units
B. 32 square units
C. 36 square units
D. 52 square units / 18. The two right rectangular prisms shown in the diagram are the same size and shape. The liquid shown in the first prism is foot deep.

The same amount of liquid is poured into the second prism. How many unit cubes, with edge lengths of ft, would be needed to represent the volume of the liquid in the second prism?
A. 6
B. 18
C. 24
D. 48
16. Molly uses exactly 112 bags of fertilizer to fertilize 25% of the total number of acres in a field each year. It takes bags to fertilize 1 acre of the field. What is the total number of acres in the field?
A. 3
B. 12
C. 36
D. 48 / 19. The total amount repaid on a loan is found by using the formula where A is the total amount paid, p is the principal, r is the rate, and t is the time. If what is the value of A ?
A. $180
B. $200
C. $260
D. $300
17. In a new school building, Cindy painted the walls in 2 classrooms in 5 hours. In the same school building, Rebecca took 2 hours longer to paint the walls in 3 classrooms. What was Rebecca's rate in classrooms per hour?
A.
B.
C.
D.
/ 20. The table shows the names and times of the first-place swimmer and second-place swimmer in the men’s 100 meter (m) backstroke.

The total time for each swimmer is the sum of the two parts. How much faster did the first-place swimmer swim than the second-place swimmer?
A. 0.24 seconds
B. 0.66 seconds
C. 0.76 seconds
D. 0.84 seconds