Math 7 (Grade 7) Midterm — Units 5–6

Part 1: Multiple Choice

1. Two angles are complementary. One angle measures 34°. What is the measure of the other angle?
   1. A. 66°
   2. B. 56°
   3. C. 146°
   4. D. 34°
2. What is the surface area of a cube with edges 3 inches long?
   1. A. 54 square inches
   2. B. 27 square inches
   3. C. 18 square inches
   4. D. 36 square inches
3. Two lines intersect. One of the four angles formed measures 47°. What is the measure of the angle vertical to it?
   1. A. 133°
   2. B. 43°
   3. C. 94°
   4. D. 47°
4. A triangle has a base of 12 cm and a height of 7 cm. What is its area?
   1. A. 84 square cm
   2. B. 19 square cm
   3. C. 38 square cm
   4. D. 42 square cm
5. What is the circumference of a circle with a radius of 5 cm?
   1. A. 5π cm
   2. B. 25π cm
   3. C. 20π cm
   4. D. 10π cm
6. Two angles are supplementary. One angle measures 118°. What is the measure of the other angle?
   1. A. 72°
   2. B. 242°
   3. C. 62°
   4. D. 28°
7. What is the area of a circle with a diameter of 8 inches?
   1. A. 32π square inches
   2. B. 64π square inches
   3. C. 8π square inches
   4. D. 16π square inches
8. Which set of side lengths can form a triangle?
   1. A. 4 cm, 4 cm, 9 cm
   2. B. 2 cm, 5 cm, 7 cm
   3. C. 5 cm, 6 cm, 9 cm
   4. D. 3 cm, 4 cm, 8 cm
9. A triangular prism has triangle bases with a base of 6 m and a height of 4 m. The prism is 10 m long. What is its volume?
   1. A. 60 cubic meters
   2. B. 120 cubic meters
   3. C. 240 cubic meters
   4. D. 34 cubic meters
10. A rectangular prism is 4 ft long, 5 ft wide, and 6 ft tall. What is its volume?
    1. A. 60 cubic feet
    2. B. 15 cubic feet
    3. C. 148 cubic feet
    4. D. 120 cubic feet
11. What is the mean of 4, 8, 6, 10, and 7?
    1. A. 7
    2. B. 6
    3. C. 8
    4. D. 35
12. A spinner landed on red 18 times in 60 spins. Based on this, how many times would you predict red in 200 spins?
    1. A. 36
    2. B. 18
    3. C. 60
    4. D. 120
13. A bag has 3 red, 5 blue, and 2 green marbles. One marble is picked at random. What is P(blue)?
    1. A. 3/10
    2. B. 1/2
    3. C. 5/8
    4. D. 1/5
14. An event has a probability of 0.95. Which description fits this event best?
    1. A. Equally likely to happen or not happen
    2. B. Very likely to happen
    3. C. Unlikely to happen
    4. D. Impossible
15. In a random sample of 50 students, 20 prefer basketball. The school has 600 students. About how many students prefer basketball?
    1. A. 120
    2. B. 20
    3. C. 300
    4. D. 240
16. What is the median of 3, 9, 4, 12, 7, and 5?
    1. A. 6
    2. B. 7
    3. C. 8
    4. D. 5
17. You flip a coin and roll a number cube. How many outcomes are in the sample space?
    1. A. 8
    2. B. 6
    3. C. 36
    4. D. 12
18. A student council wants to know what all students at the school think about lunch. Which sample is most likely to be representative?
    1. A. Students on the soccer team
    2. B. The council members' closest friends
    3. C. Every 10th student on an alphabetical list of all students
    4. D. Students who buy lunch on pizza day
19. A fair number cube is rolled. What is the probability of rolling a number greater than 4?
    1. A. 1/2
    2. B. 2/3
    3. C. 1/3
    4. D. 1/6
20. A fair coin is flipped twice. What is the probability of getting heads both times?
    1. A. 1/3
    2. B. 1/4
    3. C. 1/2
    4. D. 3/4

Part 2: Written Response

21. Two fair number cubes are rolled and the numbers are added. (a) What is the probability the sum is 7? (b) If the cubes are rolled 120 times, how many times would you expect a sum of 7? Show your work.