Basic Skills Math Diagnostic Test -No calculators are permitted. -Although time needed by each student to do the math portion of the exam varies, I wi...
Basic Skills Math Diagnostic Test -No calculators are permitted. -Although time needed by each student to do the math portion of the exam varies, I will give you approximately 1 hour and 15 minutes to work on this diagnostic test. -The actual number of questions that you see on the exam that are in the math section should be between 25 and 40.
1. We are making posters with a budget of $96.00. We want to make 20 posters. Each poster board costs $1.50 and the paint for each poster costs $1.08. How much money will be left over after making the posters? a. $34.40 b. $35.40 c. $44.40 d. $45.40
2. A recipe that makes 6 servings of macaroni and cheese uses
cups of milk. How many
cups of milk will be needed if we want to make 20 servings? a. b. c. d.
3. A student gets a 75% on his first exam and a 95% on his second exam. He has one more exam and hopes to get an overall average of an 80% in the class. What does he need to get on this final exam? a. 60% b. 70% c. 80% d. 90%
4. If 3x – 12 = 2x-4(x-2) then x= ? a. 1 b. 2 c. 3 d. 4
5. A study shows that the more you count calories, the less weight you will gain. What is most likely the correlation of counting calories and gaining weight? a. -3.0 b. -0.6 c. 0.6 d. 3.0
6. Twenty-four less than five times Bob’s age is 11. How old is Bob? a. 7 b. 9 c. 11 d. 13
7. Elena scored in the 65th percentile on her exam. Which of the following is the correct interpretation of her score? a. Elena got a D on her test. b. Elena answered 65% of the questions correctly. c. Elena’s score is higher than that of 65% of all examinees. d. Elena’s score is lower than that of 65% of all examinees.
8. Town B is due west of Town A. Town D is due south of town A. Town C is due north of Town A. The store is due North of Town C. Which of the following must be true? a. Town B is due west of the store. b. Town B is due east of the store. c. Town D is due south of the store. d. Town D is due east of Town B.
9. A man drives 200 miles in 7 hours. How far can he drive in 21 hours? a. 600 miles b. 300 miles c. 1200 miles d. 1000 miles
10. There are 400 students. 40% are girls. 20% of the girls play a sport. How many girls play a sport? a. 30 b. 32 c. 40 d. 42
11. We have 2 blue marbles, 3 red marbles, and 3 yellow marbles. What percent are blue? a. 20% b. 25% c. 40% d. 45%
12. A microwave oven is 24 inches wide, 9 inches deep and 6 inches high. What is the volume in cubic feet? a. .75 cubic feet b. 1.5 cubic feet c. 54 cubic feet d. 1296 cubic feet
13. Which of the following would be area of the figure shown?
30
20
a) b) c) d)
600+50π 600+100 π 600-50 π 600-100 π
14. If a triangle is as shown, what is the measure of angle C?
a) b) c) d)
30 45 60 75
15. Which of the following graphs represents the inequality a)
b)
c)
d)
?
16. A metal worker is building a wire frame for a cubic box that is to have a volume of 8 cubic feet. What is the length of wire the metal worker will need?
a) b) c) d)
8 feet 16 feet 20 feet 24 feet
17. A pizza is position on a square cutting board as shown. What is the area of the cutting board that is not covered by the pizza?
a) b) c) d)
8+16π 64-16π 64+16π 32-8π
18. If a > b and b > c and 11 > a > 7which of the following MUST be true? a) b) c) d)
19. In a recipe that calls for ¼ teaspoon of garlic and ¾ teaspoon of oregano, what is the ratio of oregano to garlic? a) b) c) d)
1:3 3:1 1:4 3:4
20. Tom and Jerry put up $80 and $20 respectively to buy a toaster oven. A year later, they sell the toaster oven for $30. How much of this money should Jerry get? a) b) c) d)
$4 $6 $8 $20
21. An instructor gives three lectures—a morning lecture, an afternoon lecture and an evening lecture. There are a total of 160 people attending the lectures. The afternoon lecture is attended by 10 more people than the morning lecture. The evening lecture is attended by 20 more people than the afternoon lecture. How many people attended the afternoon lecture?
a) b) c) d)
40 50 60 70
22. A six-foot tall person casts a 4 foot shadow. Next to the person, a lamppost casts a 30 foot shadow. How tall is the lamppost? a) b) c) d)
45 feet 48 feet 50 feet 55 feet
23. A part-time gym membership costs one-quarter of the cost of a full-time gym membership. We have 20 part-time members and 30 full-time members. We know that the monthly amount that the gym collects from its members is $7000. What is the cost of a full-time membership?
a) b) c) d)
$160 $200 $240 $280
24. A new design of the Redbox machine allows for 40% more movies to be stocked in a single machine. Each machine already holds 30 different movie titles and a total of 500 discs. How many additional discs will the new Redbox machine be able to hold? a) b) c) d)
120 200 400 600
25. Alex is hosting a dinner at his house. He found a recipe that uses 2 ounces of dough for one biscuit. He has prepared 4 pounds of dough. If each person attending the dinner will be given 3 biscuits, how many total people can we feed?
