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This printable reviews the Grade 7 Common Core Mathematics Standards. Use for review, test preparation, or benchmark assessment.

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Math Review (Grade 7)

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Math Review

1. 
A soup recipe calls for 2 cups of potatoes, [math]1 1/2 [/math]cups of carrots, and [math]3/4[/math] cup of onions for 5 cups of water. If you wanted to make the recipe using only [math]3 1/2 [/math] cups of water how many cups of carrots would you need?
  1. [math]2 1/2[/math]
  2. [math]1[/math]
  3. [math]2[/math]
  4. [math]3 1/4[/math]
2. 
A cyclist travels at 18 mph. Which equation represents the relationship between the cyclist's distance [math](d)[/math] and time [math](t)[/math]?
  1. [math]d=18/t[/math]
  2. [math]d=18t[/math]
  3. [math]t=18d[/math]
  4. [math]d=18[/math]
3. 
An airplane is taking off to begin a morning flight. If the airplane rises 20 feet per second, how high up is the plane after 5 seconds? Use a graph to find your answer.
  1. 15
  2. 25
  3. 10
  4. 100
4. 
A student is taking a final test with 100 questions. If she gets [math]4/5[/math] of the questions right, what percent of the questions did she get right?
  1. 40%
  2. 45%
  3. 75%
  4. 80%
5. 
The average tuition for a four-year public university was $7,613 in 2010. Average tuition increased to $8,244 in 2011. What was the percent increase in tuition from 2010 to 2011?
  1. 6.3%
  2. 7.7%
  3. 8.3%
  4. 9.7%
6. 
What is the distance between [math]| -45|[/math] and [math]| -35| ?[/math]
  1. [math]10[/math]
  2. [math]-10[/math]
  3. [math]80[/math]
  4. [math]-80[/math]
7. 
An architectural drawing of a building shows the elevation of the basement floor to be –12 feet. The elevation of the roof is 32 feet. What is the total distance in feet from the roof to the basement floor?
  1. 44
  2. -44
  3. 20
  4. -20
8. 
What number should be placed in the square to make the equation true?

[math]5.32 - square = 5.32 + (-7.89)[/math]
  1. 2.57
  2. -2.57
  3. -7.89
  4. 7.89
9. 
[math](1/2-3/2)xx(3-5/2)[/math]
  1. [math]-1/2[/math]
  2. [math]-13/2[/math]
  3. [math]-2[/math]
  4. [math]-5/2[/math]
10. 
[math]3/8-:8/5=[/math]
  1. [math]15/64[/math]
  2. [math]0.2[/math]
  3. [math]64/15[/math]
  4. [math]0.6[/math]
11. 
Factor.

[math]30x+6[/math]
  1. [math] 6(x+1) [/math]
  2. [math] 6(5x+1) [/math]
  3. [math] 24x [/math]
  4. [math] 6(x+5) [/math]
12. 
Simplify.

[math]2x+3+7x-1[/math]
  1. [math]9x+2[/math]
  2. [math]9x+3[/math]
  3. [math]5x+2[/math]
  4. [math]5x+3[/math]
13. 
Sam needs to buy 15 screws and 23 nails. Which of these equations would represent Sam's situation if the nails cost $0.59/nail and the screws cost $0.42/screw, and [math]x[/math] represents the total cost?
  1. [math]15(0.42)+23(0.59)=x[/math]
  2. [math]15(0.42)xx 0.59=23x[/math]
  3. [math]0.42/15+0.59/23=x[/math]
  4. [math]15/0.42+23/0.59=x[/math]
14. 
As a salesperson you get $40/day and $1.75/each sale you make. If you want to make $47 in one day, how many sales would you need to make?
  1. 3
  2. 4
  3. 5
  4. 6
15. 
The heights of trees in a park range from 5 feet to 38 feet tall. Which inequality would describe the height of the trees?
  1. [math] x>5 [/math]
  2. [math]5 < x < 38 [/math]
  3. [math]5>x>38[/math]
  4. [math]5<38[/math]
16. 
What 2 dimensional shape would be created by slicing this cone vertically through the apex?
Cone
  1. Circle
  2. Triangle
  3. Ellipse
  4. Square
17. 
What 2 dimensional shape would be created by slicing this cylinder horizontally?
Cylinder 2
  1. Square
  2. Circle
  3. Rectangle
  4. Oval
18. 
Based on the following information, where [math] ang ABD[/math] is a right angle, which equation could be used to solve for x?

[math]mangDBC = x[/math]
[math]mangCBA = 2x[/math]
Complementary Angle #1
  1. [math]2x - x = 90[/math]
  2. [math]2x + x = 90[/math]
  3. [math]2x - x = 180[/math]
  4. [math]2x + x = 180[/math]
19. 
A Christmas present is being wrapped before the holidays. The box is 13 inches wide, 9 inches tall, and 17 inches long. What is the surface area of the box?
  1. 982 square inches
  2. 442 square inches
  3. 676 square inches
  4. 748 square inches
20. 
Circle
What is the circumference of a circle, to the nearest foot, if the area of the circle is 16 [math]"ft"^2[/math]?
  1. 32 ft
  2. 14 ft
  3. 8 ft
  4. 16 ft
21. 
What is area of a circular plate if the circumference is 20 inches?
  1. 32 square inches
  2. 6.4 square inches
  3. 62 square inches
  4. 16 square inches
22. 
Which of the following would be the best way to estimate the average number of songs a seventh grade student in your school downloads each month?
  1. Survey 25 sixth grade students in your school.
  2. Survey 2 seventh grade students in your school.
  3. Survey half of the seventh grade students in your school.
  4. Survey 100 seventh grade students from two middle schools.
23. 
A group of naturalists wants to track a herd of bison during their grazing patterns across a grassland. They've tagged 40 bison at random. If 20% of the tagged bison have been tracked to a lake and the other 80% of the bison have been tracked to a distant canyon, which of the following statements is the most logical conclusion about the location of the entire herd?
  1. All of the bison are at the lake
  2. All of the bison are at the canyon
  3. 20% are at the lake and 80% are at the canyon
  4. The bison haven't moved at all
24. 
A fair numbered cube has sides numbered 1 through 6. When the cube is rolled 100 times, which event would be MOST likely to occur?
  1. All numbers rolled would be odd.
  2. The number 6 would never be rolled.
  3. The number 7 would be rolled at least once.
  4. An even number would be rolled 50 times.
25. 
If an event has a 0.1 probability of occurring, the event is
  1. certain to occur.
  2. unlikely to occur.
  3. certain to not occur.
  4. very likely to occur.
26. 
Tonya flipped a dime six times, and it landed on heads all six times. Which statement best describes the probability of the coin landing on tails the seventh time?
  1. Not likely
  2. Less likely than heads
  3. Just as likely as heads
  4. More likely than heads
27. 
If a dice is rolled once, what is the probability of rolling a number higher than 3 if all outcomes have an equal probability?
  1. [math]1/2[/math]
  2. [math]2/3[/math]
  3. [math]1/3[/math]
  4. [math]1/4[/math]
28. 
Which scenario for the spinner has the following probability of occurring?
[math]P(?) = 2/3[/math]
Spinner With Numbers
  1. The spinner lands on a number less than 2.
  2. The spinner lands on a number less than 4.
  3. The spinner lands on a number greater than 2.
  4. The spinner lands on a number greater than 4.
29. 
You spin the two spinners shown. How many outcomes are possible?
Spinner With Colors - UnevenSpinner With Letters
  1. 8
  2. 15
  3. 24
  4. 30
30. 
A coin is flipped 5 times. It landed heads up 4 of those times, making the experimental probability of the coin landing heads up on the next flip [math]4/5[/math]. If the coin is flipped another 50 times, which of the fractions below is most likely to be the updated experimental probability of the coin landing heads up on the next flip?
  1. [math]5/9[/math]
  2. [math]5/6[/math]
  3. [math]6/8[/math]
  4. [math]8/9[/math]

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