Basic Math & Pre-Algebra: Quiz: Solving Process and Key Words

1. Julio earned a total of $500 in 10 days. What were his average daily earnings?

a. $5

b. $50

c. $100

2. Max earned $22 per day for Monday, Tuesday, and Wednesday, then earned $32 per day for Thursday and Friday. What were Max's average daily earnings for the five days?

a. $26

b. $27

c. $28

3. Jill got scores of 52, 82, and 34 on her first three tests. What must she average on her next two tests so that her average for all five tests is 60?

a. 64

b. 65

c. 66

4. If five teachers each worked five days and seven custodians each worked seven days, what is the average number of days worked for all these people?

Which of the following is a correct set up to solve this problem?

5. One number is 5 less than the largest number. If x represents the larger of the two numbers, what would represent the average of the two numbers?

6. A car can be purchased for $3,600 down and equal monthly payments thereafter. If the total cost of the car is $18,000 and it is to be paid over a 3-year period, what would be the monthly payment?

a. $400

b. $450

c. $500

7. A bicycle at store A can be bought by cash for $2,450. Store B offers the same bicycle for a payment method. The method requires you to put a down payment of $150 and $100 monthly payments for two years. Which store charges less and by how much?

a. A by $100

b. B by $50

c. They charge the same amount.

8. Ivan purchased five tubes of toothpaste at $1.25 each, four deodorant sticks at $2.30 each, and three bars of soap at $0.75 each. Assuming no tax is charged, how much change should he get from a $50 bill?

a. $33.70

b. $32.30

c. $17.20

9. If Maria can purchase seven oranges for $2.45, what is the maximum number of oranges she can buy with $10.00?

a. 4

b. 28

c. 30

10. The cost of 12 notebooks is $1.56 more than the cost of 8 notebooks. Find the cost of 3 notebooks.

a. $0.39

b. $1.17

c. $1.56

11. Garland High School has grades 9, 10, 11, and 12. The total enrollment is 3600 students. If 40% of the enrollment are 9th graders, 25% are 10th graders, and the 11th graders and 12th graders have equal numbers, then how many students are 12th graders?

a. 630

b. 1170

c. 1260

12. On average, it is expected that 75% of the people attending a concert are 35 years old or under the age of 35. If 400 people attended the concert, how many were older than 35 years old?

a. 300

b. 200

c. 100

13. If 45 out of 60 interviewers think candidate A is best for the job, then what percent of the 60 people think Candidate A is the best for the job?

a. 25%

b. 45%

c. 75%

14. Which of the following has the greatest percent change?

a. Tom's yearly earnings went from $24,000 to $30,000.

b. The temperature dropped from 70 degrees to 50 degrees.

c. The population of the city went up to 60,000 from 50,000.

15. If Mario spends 40% of his total income on housing, and his monthly housing expense is $3,600, what is his total monthly income?

a. $5,040

b. $9,000

c. $14,400

16. Twelve people have signed up for the pep rally. This is equation

of the maximum number of people allowed at the rally. How many more people can still sign up?

a. 90

b. 88

c. 78

17. If it takes equation

yards of material to make one flag, then how many flags can be made from 10 yards of material?

a. 7

b. 8

c. 9

18. John read equation

of the entire book on Monday, equation

of the entire book on Tuesday, and finished reading the book on Wednesday. What part of the entire book did he read on Wednesday?

19. Which of the following produces the fraction of greatest value?

a. A saltwater solution is 4 parts salt to 12 parts water. What fraction of the solution is salt?

b. A family went to a ball game. They spent $30 on food, $45 on souvenirs, and $25 on drink. What fraction of these expenses was spent on food?

c. Of 300 people polled, 115 said “yes” to the question, 125 said “no” to the question, and the rest had no opinion. What fraction of those polled had no opinion?

20. Cement can only be bought in whole bags. A certain construction requires equation

bags of cement to make one object. What is the least number of bags of cement needed to make 12 of these objects?

a. 3

b. 4

c. 5

21. On a series of football plays, Pablo's team had a gain of 12 yards, a loss of 15 yards, a loss of 7 yards, and a gain of 4 yards. What was the average yards/play for Pablo's team in this series of plays?

a. a loss of 1.5 yards per play

b. a loss of 9.5 yards per play

c. a gain of 1.5 yards per play

Use the table below for question 22.

22. What was the total number of degrees of temperature change from Sunday to Wednesday?

a. 14

b. 24

c. 42

23. A train traveled for 5 hours at 65 miles per hour. Then it traveled for 3 hours at 45 miles per hour. What was the train's average speed for the entire trip?

a. 57.5 miles per hour

b. 55 miles per hour

c. 53.5 miles per hour

24. Juan can travel 325 miles in 15 hours. Joe can travel 475 miles in 19 hours. Marcus can travel 645 miles in 35 hours. Whose average speed is the greatest?

a. Juan

b. Joe

c. Marcus

25. Inez can walk at a rate of 4 miles every 55 minutes. At that rate, how many miles can she go in 3 hours and 40 minutes?

a. 4 miles

b. 12 miles

c. 16 miles

26. Paula has traveled for 3 hours at an average rate of 25 miles per hour. Her total trip is to be 320 miles. If she plans on averaging 35 miles per hour for the rest of the trip, how long will the entire trip have taken her?

a. 7 hours

b. 10 hours

c. 12 hours

27. Catherine wants to buy a prom dress. It costs $235. If she has $108 and can save $25 a week from her babysitting jobs, after how many weeks will she save enough money to buy the dress?

a. 4

b. 5

c. 6

28. The high school football team has room for 24 players. Ten have been chosen. If originally there were 42 players trying out for the team, how many of those remaining will not be chosen?

a. 32

b. 18

c. 14

29. A ratio of 4 inches to 2 feet is the same as which of the following ratios?

a. 6 minutes to equation

hours

b. 9 ounces to equation

pounds

c. both A and B

30. A number is decreased by 12 and the result is multiplied by 6. This value is then increased by 4 to get the value 22. What is three more than the original number?

a. 18

b. 15

c. 12

31. Which two of the following three problems produce the same numerical result?

How many inches are there in feet?
How many hours will it take to go 2,451 miles at 43 miles per hour?
How many full weeks are there in 392 days?

a. I and II

b. I and III

c. II and III

32. Right now, Sam is six years older than Freda and Gloria is four years younger than Freda. The sum of their ages is 35 years. How old will Sam be in three years?

a. 14

b. 17

c. 20

33. Car A costs ten times the price of Car B. Car C costs half the price of Car A. Car D costs $1,000 less than Car C. If the four different cars cost a total of $20,000, what is the cost of Car D?

a. $1,000

b. $4,000

c. $5,000

34. The perimeter of a square is 48 inches. A rectangle with the same area as the square has one side of 8 inches. What is the perimeter of the rectangle?

a. 18 inches

b. 26 inches

c. 52 inches

35. A triangle has an area of 72 square inches with a height of 4 inches. How long is the base associated with this height?

a. 9 inches

b. 18 inches

c. 36 inches

36. A trapezoid has bases of lengths 4 feet and 8 feet. Its area is the same as that of a triangle with a base of 15 feet and a height of 8 feet. What is the height of the trapezoid?

a. 10 feet

b. 15 feet

c. 20 feet

37. Circle A has a radius of 8 inches. Circle B has a diameter of 12 inches. What is the ratio of the area of circle A to the area of circle B?