Download Math Benchmark Review – 3rd Nine Weeks

Math 7 Merit
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Benchmark Review – Honors Accelerated-1st Nine Weeks
1. List the two dimensional shapes that can be
a cross section of a cube.
8. Solve for x:
2. The Smith family has a circular swimming
pool with a diameter of 9 feet. Find the
circumference and area of the pool to the
nearest tenth.
9. Solve for x:
3.-4. Find the circumference and area of the
given figure:
10. Solve for x:
5.-6. Find the circumference and area of the
given figure:
7. Solve for x:
11. Solve for x:
12. Solve for x:
13. Can these three numbers be the measures
of the sides of a triangle? Why or why not?
4, 8, 2
14. Solve for x:
15. A restaurant offers daily specials of 3 meats, 3 vegetables, soup or salad, and two desserts. How
many ways can you order the special?
16. A spinner numbered 1 through 10 is spun 200 times. The results of the experiment are shown in
the table below. What is the experimental probability of spinning a 5?
17. There are 15 pennies, 8 nickels, and 7 dimes in a bowl. If 2 coins are selected at random, find
the probability of selecting a nickel then a dime if the first coin is NOT replaced.
18. A bag contains 4 green marbles, 3 red marbles and 3 blue marbles. Sharon picks a marble
without looking. What is the probability that she will pick a green marble?
19. There are 600 students at Davis Middle School. Three hundred fifty students have purchased
tickets to the spring picnic. What is the probability that a student picked at random has NOT
purchased a ticket?
20. In a survey, 100 students were asked to name their favorite season of the year. The results are
shown in the table. Suppose 1,500 students attend Jefferson Middle School. How many can be
expected to choose fall as their favorite season?
21. Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 9 and
then a Jack if the first card is NOT replaced?
22. Identify the following events as likely, unlikely, or equally likely to occur:
_____________ The probability of selecting a red marble from a bag of marbles is 0.52
_____________ The probability of selecting a tile with a vowel on it is 7/20.
_____________ The probability of tossing a number cube and rolling a number greater than 1 is 5/6.
23. Jack and Brad are playing a game using a :
Spinner divided into six equal parts with the letters A, B, C, D, E, F.
Jack needs to spin a vowel to win.
Brad needs to spin a consonant to win.
How likely is Jack’s chance of winning compared to Brad’s chance of winning?
24. The chart shows the data from rolling a number cube. What is the experimental probability of
rolling a 5?
25. Erin has two flat plates, each the same size. She stores them in a drawer, as shown, so that
they fit snugly inside, with no space between the edges of the drawer and the plates. Approximately,
how many square inches of the bottom of the drawer are NOT covered by plates? The length of the
rectangle is 25 inches, and the width is 10 inches. Show how to solve it, and explain your work.