Exam: 086097RR - Math for the Trades
1. Which one of the following formulas correctly expresses the following statement: The number x is equal to another number n plus the square root of 3.
A. x = √(n + 3)
B. x = n + 32
C. x = 3n2
D. x = n + √3
2. In percent problems, the term rate refers to the
A. whole amount that's being considered.
B. percent of increase or decrease.
C. comparison of one ratio to another.
D. part of the whole amount that's being considered.
3. You want to apply a weed killer to your lawn. The directions on the bottle call for mixing 3 ounces of weed killer with 2 gallons of water. Your sprayer holds 5 gallons. In order to completely fill the sprayer with a proper mixture, how many ounces of weed killer must you use?
A. 3(1/3)
B. 7(1/2)
C. 5(2/3)
D. 6(1/5)
4. A triangle-shaped machine part has sides of 2(1/2) inches, 3(1/4) inches, and 5 inches. The triangle's perimeter is
A. 10(3/4) inches.
B. 10(1/8) inches.
C. 11(3/8) inches.
D. 11(1/2) inches.
5. Find the area of a circle with a radius r of 6 feet. Round off your answer to one decimal point. Hint: the formula for the area of a circle is A = π r2 and π should be approximated to four decimal places.
A. 355.3 sq ft
B. 113.1 sq ft
C. 18.8 sq ft
D. 59.2 sq ft
6.
Take a look at the figure. Use the formula I = E/R to calculate the current in the circuit shown.
A. 100 A
B. 4 A
C. 10 A
D. 0.25 A
7. The length of a room is 20 feet and its width is 12 feet. What is the perimeter?
A. 52 feet.
B. 64 feet
C. 32 feet.
D. 44 feet.
h = (1/2)gt2
8. Take a look at the figure. The distance h a body will move in free fall is expressed by the formula shown. If g = 980 centimeters per second2 and t = 20 seconds, what is the distance?
A. 196,000 centimeters
B. 49,000 centimeters
C. 9,800 centimeters
D. 368,000 centimeters
(3 x 62 - 2) / 2
9. Take a look at the figure. What is the first step you should take to solve the formula?
A. Subtract 2 from 3.
B. Multiply 3 by 6.
C. Cancel 6 into 6.
D. Find the value of 6 squared.
10. Find the value of y in the formula y = 5a - 3b + c, if a = 12, b = 4, and c = 8.
A. 80
B. 56
C. 40
D. 64
11. Corrugated Specialties produces boxes of all kinds, and they manufacture an average of 67,000 shirtsize boxes per month. In November, they were told to increase production by 35%. How many shirt-size boxes will they produce in November? Hint: This question requires two calculations.
A. 23,450
B. 91,125
C. 23,625
D. 90,450
√2y + 3 = 11
12. Take a look at the figure. What is the value of y?
A. y = 64
B. y = 16
C. y = 32
D. y = 14
13. What is the product of 2/8 and 3/5?
A. 3/20
B. 7/11
C. 5/13
D. 5/12
14. Fractions can be added and subtracted only if they're __________ fractions.
A. unlike
B. like
C. proper
D. improper
15. Express the fraction 2/7 as a rounded decimal.
A. 2.86
B. 0.286
C. 2.85
D. 0.285
16. Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?
A. R = 5t
B. R = 5s
C. R = 3(s + t)
D. R = 3(s + 2t)
17. An electric heater uses 3/5 watts of power each hour. How many watts of power will the heater use in 1/2 hour?
A. 3/10
B. 1(1/5)
C. 3/5
D. 1(1/10)
18. A pipe that's 36 inches long needs to be cut into 2(1/4) -inch long pieces. How many pieces can be cut from this length of pipe? Hint: Change 2(1/4) to an improper fraction before calculating.
A. 9
B. 11(1/4)
C. 16
D. 4(4/9)
19. The expression a = 3b2+ 2 can be written in words as: the quantity a is equal to
A. two plus the square root of three 3 b.
B. three times the quantity two plus b squared.
C. three times the square root of b plus two.
D. two more than three times the quantity b squared.
20. Write the decimal 0.006 as a fraction.
A. 6/1,000
B. 6/10
C. 6/100
D. 6/10,000.