1. What is the greatest common factor of 54 and 63?

2. What is the least common multiple of 15 and 20?

3. Fill in the missing number to make the fractions equivalent:

4. Simplify the following fraction:

5. Convert the following fraction to a mixed number:

6. What is

7. What is the following fraction as a decimal?

8. What is 17.458 ÷ 8.12?

9. What is 52% as a simplified fraction?

10. What percent of 40 is 18?

11. If the principal is $2,350, the period is 2 years, and the total payment with interest is $2,867, what is the annual rate of interest?

12. Complete the proportion:

13. Remember that 1000 m = 1 km. Fill in the blanks:

14. Convert 80°C to Fahrenheit.

15. Tammy wants to paint her bedroom. The wall dimensions are 14 feet by 10 feet for two walls and 12 feet by 10 feet for the other two walls. There is one door that is 3 feet by 8 feet and one window that is 5 feet by 5 feet.

a. What is the square footage of the walls in Tammy’s room?
b. If one gallon of paint covers 350 square feet. how many gallons of paint should she buy to do two coats?
c. If one gallon of paint is $45.59. How much will she pay for the paint?

16. Jenn and Karl want to install a fence around their yard. The width of their yard is 50 feet, and the length is 40 feet. They need a post every six feet to secure the fencing. The posts cost $13.50 each. Fencing costs $8.50 per foot. What is the total cost for the materials needed to fence their yard?

*For questions 17-20, remember that 1 inch = 2.54 centimeters and 1 kilogram = 2.2 pounds.

17. How tall is Jack in feet and inches if he is 185 cm tall? (Round to the nearest inch.)

18. How tall is Michael in centimeters if he is 6’3” tall? (Round to the nearest centimeter.)

19. How much does Sarah weigh in kilograms if she weighs 85 pounds? (Round to the nearest tenth.)

20. How much does Kiley weigh in pounds if she is 71 kilograms? (Round to the nearest pound.)

21. Naomi needs to be at work by 8:30 am. Given the following list of what she needs to do before leaving for work, what time does she need to wake up if she wants to make it to work on time?

Read her Bible/pray (30 minutes)
Exercise (30 minutes)
Shower (15 minutes)
Get dressed (5 minutes)
Eat breakfast (10 minutes)
Walk to work (10 minutes)

22. How many minutes are in 6 hours? How many seconds?

23. If the average shower uses 20 liters per minute, how many liters are used in a 9-minute shower?

24. You leave your gaming computer on 24 hours a day, consuming 330 watts of electricity per hour. How many kilowatt-hours are being used each year (round to the nearest hour)? If electricity costs 24 cents per kilowatt-hour, how much is it costing to run your computer each year (round to the nearest dollar)?

25. The average person throws out 2 kilograms, or 4.4 pounds, of trash each day. How much trash is that in kilograms and pounds per year?

26. If it costs $5,400 for a company to install a wind generator, and each wind generator saves $150 per month on their power bill, how long will it take to recover the costs if a company installs 3 wind generators?

27. If the closing costs on a mortgage are 1.5% of the purchase price, how much can you expect to pay in closing costs on a $459,000 house?

28. Your food budget for the month is $700. You spent $189 the first week, $200 the second week, and $150 the third week. How much do you have left for the last week?

29. You have $50 to buy cookies for your Bible study. Cookies are $5.21 per bag (including taxes). How many bags can you buy? How much money will you have left?

30. If 12 boxes of macaroni and cheese cost $5.89, how much is each box?

31. If bananas are $.89 per pound, how much is 5 pounds of bananas?

32. If 4 kg of chicken is $9.80 or 5 kg of chicken is $11.15, which is cheaper per unit?

33. If a toaster oven is regularly $120 and is marked as 20% off, how much will you pay for the toaster oven?

34. I need to triple a recipe that calls for 1 ½ pounds of meat. How much meat do I need?

35. Your cookie recipe makes a dozen cookies. You are having 14 people for a party and want 2 cookies per person. How many batches of the recipe do you need to make? How many cookies will be left over?

36. If you had a hamburger at 380 calories, French fries at 220 calories, and a milkshake at 520 calories, how many calories did you consume?

37. A serving of mixed vegetables gives you 20% of your daily vitamin A requirements and a serving of apples gives you 15%. Which gives you more vitamin A, 6 servings of mixed vegetables or 7 servings of apples?

38. Compare a salad from McDonald’s that was 103 grams and 138 calories and a salad from Burger King that was 118 grams and 150 calories. Which salad has more calories per gram?