Math Fundamentals Diagnostic Test

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If your score is a 13/20 or lower, we highly recommend that you take course #1009

Solve the following problems using proper Order of Operations.

8 + 96 ÷ 2

1 point

42 – 15 ÷ 5

1 point

8 + 9 – 2 × 3

1 point

(93 + 4) – 14 × 6

1 point

(10 – 5)2 + ((12 + 6) x 52)

1 point

Set up the following ratios.

A pattern has 14 blue triangles to every 18 yellow triangles. What is the ratio of yellow triangles to blue triangles?

1 point

14:18

7:9

18:14

9:7

Clear selection

A herd of 16 horses has 3 white and some black horses. What is the ratio of black horses to white horses?

1 point

13:3

16:3

3:13

3:16

Clear selection

Set up and solve the following proportions.

In a certain class, the ratio of passing grades to failing grades is 7 to 5.How many of the 36 students failed the course?

1 point

Clear selection

One gallon is equivalent to 3.785 liters. How many gallons are equivalent to 75 liters?

1 point

19.5 gal

18.8 gal

19.8 gal

18.5 gal

Clear selection

On average one bag of chemical is used up in 3.5 days. At this rate, how many bags of chemical will be required during a 120-day period?

1 point

33.4

34.3

32.3

33.2

Clear selection

Solve for X

(0.785)(0.33)(0.33)(x) = 0.49

1 point

5.75

5.37

5.30

5.73

Clear selection

19,747 = (20)(12)(x)(7.48)

1 point

11.0

12.1

11.1

12.0

Clear selection

1 point

35.0

.35

3.5

5.3

Clear selection

1 point

509.4

905.4

409.5

590.4

Clear selection

(x²)(10)(7.48) = 10,771.2

1 point

144

Clear selection

Solve the following conversions using dimensional analysis. Conversions can be found in the formula book on our website.

https://www.tn.gov/environment/program-areas/wr-water-resources/fleming-training-center/ftc-redirect/course-books-and-reference-material.html

One cubic foot will hold 7.48 gallons of water. If a tank is measured to be 1,400 ft³, how many gallons can the tank hold?

1 point

187.1 gal

10,472 gal

10,748 gal

100,187.1 gal

Clear selection

A positive displacement pump can move 3.9 cfs. The plant operator needs to know how many gallons per day the pump will feed.

1 point

2,520,460.8 gal/day

2,520 gal/day

2,460,520.8 gal/day

2,460.8 gal/day

Clear selection

If a plant produces 3.7 MGD, how many gallons per minute must the high service pump be able to provide?

1 point

2659.4 gal/min

2965.4 gal/min

2695.4 gal/min

2569.4 gal/min

Clear selection

The chemical feed rate for chlorinator is 7.9 lb/day. How many gallons of chlorine will be feed in a day? Assume the a gallon of chemical weighs 8.34 lb.

1 point

.59 gal

.45 gal

.95 gal

.54 gal

Clear selection

A sedimentation pond has a volume of 45,000 ft³. Determine the volume of the pond in acre-feet.

1 point

1.03 ac-ft

1.30 ac-ft

1.003 ac-ft

10.03 ac-ft

Clear selection

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