Name:______
Mid Term Review Exam
1. mean, median, mode and range
Following are the ages (in years) of 10 teachers in a school:
32, 41, 28, 54, 35, 26, 23, 33, 38, 40
1) What is the mean age of these teachers?
2) What is the median age of these teachers?
3) What is the range of the ages of the teachers?
4) What is most number of teachers are in the same age?
5) How much would the mean change if we added an 11th teacher who was 30? (hint: you need to add them all up again and then divide by 11!!!)
2. About how many feet are in 50 meters? (need to convert from metric system to customary unit system- not easy)
3. What is the missing angle measurement?
Two angles are 35O The other angle is ______
Think: What degrees does a triangle add up to?
4
a) If you saved $2.00 on January 1, $4.00 on February 1, $6.00 on March 1, $8.00 on April 1, and so on, how much money would you save in one year?
b) If you saved $2.00 on January 1, $4.00 on February 1, $8.00 on March 1, $16.00 on April 1, and so on. How much money would you save in one year?
5. A number line from 0 to 2 is divided into seven equal segments. What fraction names point A? What fraction names point B?
6. Dennis the Menace is thinking of two numbers. Their greatest common factor is 6. Their least common multiple is 36. One of the numbers is 12. What is the other number?
7. Hot dogs come in packages of 8. Hot dog buns come in packages of 10. Mark wants to buy the fewest number of hot dogs and buns, but wants to buy the same number of each. Show and explain how many of each packages he needs to buy in order to reach his goal? (this has to deal with LCM)
8. What is the prime factorization of 24
a. 22x6 b. 3x2x4 c. 23x3
9.
What is the number you started with?
10. Maria needed to sell $20 of tickets. Which table displays this information? (Circle the table that shows this information)
Persons / ItemQuantity / Price per item
boys / 3 / $1.50
girls / 3 / $2.50
Adults / 1 / $4.50
Persons / Item
Quantity / Price per item
Student / 4 / $1.50
Senior / 1 / $7.50
Athlete / 4 / $2.50
Persons / Item
Quantity / Price per item
Adult / 3 / $3.50
Children / 5 / $1.00
Teens / 2 / $2.25
Persons / Item
Quantity / Price per item
Adults / 3 / $6
Senior / 1 / $3.50
Child / 4 / $2.25
11.
a) Mr. and Mrs. Callahan and their 3 children paid $7.00 for tickets. Which game do they plan to see?
SOFTBALL: Adults $2.00 Children $1.00
BASKETBALL: Adults $3.00 Children $1.50
SOCCER: Adults $5.00 Children $2.50
b) How much change would Mr. and Mrs. Callahan get if they took their children to see the basketball game and paid for it with a $20.00 bill?
12. Farmer Tom put a square fence around his vegetable garden to keep the deer from eating his corn. One side was 10m in length. If the posts were placed 2m apart, how many posts did he use?
13. A rectangular kitchen table is three times as long as it is wide.
If it were 3m shorter and 3 m wider it would be a square.
What are the dimensions of the rectangular table?
14. What statement is true?
a. the lamppost is perpendicular to the building
b. the lamppost is similar to the building
c. The lamppost is parallel to the height of the building
d. The building is double the height of the lamppost.
15. The greatest common factor of two numbers is 30. Their least common multiple is 420. One of the numbers is 210. Can you find the other number?
16. In how many different ways can the cars of a three car train be arranged?
A recipe calls for ¾ c of water and 1/3 c of milk. How much more water than milk is needed?
a. 1/12c b. 5/12c c. 7/12c d. 1 ½ c
17. A line of length 4 is divided into nine equal segments. Find a fraction to describe the length AB.
18. Evaluate 9 - 5 ÷ (8 - 3) x 2 + 6 using the order of operations.
19.Hint: do the top and bottom first then divide the numerator by the denominator
20. 21.
5 x 8 + 6 ÷ 6 - 12 x 2
22. What is the value if m= 4 and z= 2: z+30
14-m
23.Rashid started a new exercise program on April 1. The table shows how many minutes of exercises he has done so far.
Rashid Exercise times
Date / April1 / April2 / April 3 / April 4 / April 5 / April 6 / April 7Minutes / 10 / 20 / 15 / 25 / 20 / 30 / 25
· Explain the rule for the pattern in words
· Assume the pattern continues. How many minutes will Rashid exercise on April 12th?
· ON which day (s) of April will Rashid exercise for 55 min?
24. Which of the following equations gives the rule for finding the numbers in the column on the right?
x / y1 / 6
2 / 9
3 / 12
a. y= x+5
b. y= 3x+3
c. y=x+9
d. Y= 4x