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Pesticide Math Practice Problems (Basic)
Use these conversion factors and equations to help you answer the following problems. You will have access to this information when you take the actual exam.

Length

1 inch (in) = 25.4 mm (millimeter) = 2.54 cm

1 foot (ft) = 12 in = 30.48 cm = 0.3048 m

1 yard (yd) = 3 ft = 0.914 m

1 mile (mi) = 5,280 ft = 1,760 yd

1 mile (mi) = 1,609.3 m = 1.6093 km

1 millimeter (mm) = 0.03937 in

1 centimeter (cm) = 10 mm = 0.3937 in

1 meter (m) = 100 cm = 1,000 mm = 39.37 in

1 meter (m) = 3.281 ft = 1.094 yd

1 kilometer (km) = 1,000 m = 0.62137 mi

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Area

1 in2 = 6.4516 cm2

1 ft2 = 144 in2 = 929.03 cm2 = 0.0929 m2

1000 ft2 = 92.9 m2

1 yd2 = 9 ft2 = 0.83613 m2

1 acre = 43,560 ft2 = 4,840 yd2 = 0.407 ha

1 cm2 = 100 mm2 = 0.15500 in2

1 m2 = 10,000 cm2 = 10.764 ft2 = 1.1960 yd2

1 hectare (ha) = 10,000 m2 = 0.01 km2

1 hectare (ha) = 2.471 acre

1 km2 = 100,000 m2 = 100 ha = 0.3861 mi2

Circle = π × r2
r = radius of the circle

Triangle = ½ × b × h
b = base, h = height

Rectangle = l × w
l = length, w = width

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Mass and Weight

1 ounce (oz) = 28.350 g

1 pound (lb.) = 16 oz = 453.59 g = 0.45359 kg

1 ton = 2,000 lb. = 907.18 kg

1 gram (g) = 1,000 mg = 0.035274 oz

1 kilogram (kg) = 1,000 g = 2.2046 lb.

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Liquid Volume

1 fluid ounce (fl oz) = 29.573 milliliters

1 quart (qt) = 2 pints = 32 fl oz = 0.94635 liters

1 gallon (gal) = 4 qt = 128 fl oz = 3.7854 liters

1 milliliter (mL) = 1 cm3 = 0.033814 fl oz

1 liter (L) = 1000 mL = 1.0567 qt = 0.26417 gal

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A pesticide label indicates that you should mix 2 ounces of liquid concentrate per gallon of water. How many ounces of concentrate are required to prepare a 25-gallon spray tank solution?
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You need to treat a rectangular turfgrass area that measures 150 feet by 300 feet. What is the total area of this site in square feet?
1 point
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An herbicide product contains 4 pounds of active ingredient (a.i.) per gallon of formulation. If you apply 2 quarts of this formulation to a field, how many pounds of active ingredient have you applied?
1 point
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During a calibration test, a boom sprayer delivers 10 gallons of water over a measured test area of 0.25 acres. What is the application rate of this sprayer in gallons per acre (GPA)?
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A label calls for 3 pounds of dry wettable powder formulation per 100 gallons of water. How many pounds of formulation are needed for a 300-gallon spray tank?
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An orchard contains a circular planting zone with a radius of 70 feet. What is the approximate area of this site in square feet? (Use pi = 3.14)
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A granular insecticide formulation contains 5% active ingredient by weight. If you apply a total of 40 pounds of this granular product to a field, how many pounds of active ingredient were applied?
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To calibrate a backpack sprayer, you spray a test area measuring 10 feet wide by 43.5 feet long. It takes 32 ounces of water to cover this area. What is the application rate in gallons per acre? (1 acre = 43,560 square feet; 1 gallon = 128 ounces)
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A label instructs you to mix 1.5 quarts of surfactant per 100 gallons of water spray solution. How many quarts of surfactant do you need for a 400-gallon tank mixture?
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A commercial property landscape has a shaped site that can be broken down into a triangle with a base of 80 feet and a height of 50 feet. What is the area of this site?
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You apply 10 pounds per acre of a dry pesticide product that contains 80% active ingredient by weight. How many pounds of active ingredient are applied per acre?
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A sprayer nozzle has a rated output of 0.4 gallons per minute (GPM) at 40 PSI. If a boom has 6 identical nozzles operating under these identical parameters, what is the total output of the boom in GPM?
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A liquid pesticide label directs the user to mix 0.5 fluid ounces of product per gallon of water. How many fluid ounces are needed to mix a full 150-gallon batch?
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An area of land measures 348,480 square feet. How many acres does this site represent? (1 acre = 43,560 square feet)
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A liquid formulation is listed as containing 2 pounds of active ingredient per gallon. If you need to deliver exactly 5 pounds of active ingredient to a test plot, how many gallons of the product must you measure out?
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Your sprayer travels at a speed of 4 miles per hour (MPH). You want to check your calibration over a distance of 176 feet. How many seconds should it take for the equipment to travel this distance? (1 MPH = 1.467 feet per second)
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A professional sprayer is configured to mix a pesticide at a dilution ratio of 1:50 (1 part pesticide concentrate to 50 parts water). To prepare a total mixture volume of 102 gallons, how many gallons of pesticide concentrate are required?
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A right-triangular field section has a base of 200 feet and a hypotenuse side extending out, with a perpendicular height measured at 90 feet. What is the area of this field sector?
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A 20-pound bag of dry granular pesticide lists its active ingredient concentration as 1.5%. How many pounds of active ingredient are contained inside this single bag?
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To calibrate your broadcast sprayer, you find that it delivers 4 gallons of water over an area of 5,445 square feet. What is the calculated application rate in gallons per acre?
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A label dictates a maximum application rate of 0.75 fluid ounces of concentrate per 1,000 square feet. If you are treating a property that measures 12,000 square feet, how much pesticide concentrate should you mix?
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A circular putting green has a diameter of 60 feet. What is the calculated surface area of this site? (Use pi = 3.14)
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You mix 5 pounds of a wettable powder product into a spray tank. The product data sheet states it contains 50% active ingredient. How much active ingredient is now present in the tank?
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A calibration check reveals your tractor-mounted spray boom treats a swath width of 20 feet. Traveling at a constant speed, it covers a linear distance of 1,089 feet. What total area in acres was covered during this run?
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If a pesticide label states that 1 gallon of concentrate must be mixed with water to make a total of 20 gallons of spray solution, what is the percentage concentration of pesticide concentrate in the final mix?
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An irregular site can be simplified into a rectangular center (40 ft x 60 ft) and an attached triangular wing (base 40 ft, height 30 ft). What is the total combined area of this application site?
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A liquid product label specifies an application of 0.1 pounds of active ingredient per acre. If the container states the product holds 2 pounds of active ingredient per gallon, how many fluid ounces of liquid formulation are required per acre? (1 gallon = 128 fluid ounces)
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During a calibration test, a technician determines that a handgun nozzle fills a 1-quart container with water in exactly 15 seconds. What is the output rate of this nozzle in gallons per minute (GPM)?
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A label states: Mix 8 ounces of product per 100 gallons of water. If your spray tank holds only 25 gallons, how many ounces of product do you need to add for a full tank?
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An applicator drives a tractor at 5 MPH to apply pesticide to a field. The adjacent field requires a slower speed of 2.5 MPH due to the terrain. How will the application rate change in the adjacent field if the sprayer output volume remains completely constant?
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