ISEE Upper Level Quantitative Reasoning Quiz: Multi Step Operations
17 questions · exam conditions
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Multi Step OperationsQuestion 1 of 17

A bakery produces 144 muffins in the morning and 216 muffins in the afternoon. If the muffins are packed into boxes of 18, and 3 boxes are set aside for the staff, how many boxes are available for sale?

17 boxes
20 boxes
23 boxes
26 boxes
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ISEE Upper Level Quantitative Reasoning Quiz

ISEE Upper Level Quantitative Reasoning Quiz: Multi Step Operations

Practice Multi Step Operations in ISEE Upper Level Quantitative Reasoning with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Multi Step Operations, giving you a quick way to practice the rules, question types, and explanations that matter most for ISEE Upper Level Quantitative Reasoning.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A bakery produces 144 muffins in the morning and 216 muffins in the afternoon. If the muffins are packed into boxes of 18, and 3 boxes are set aside for the staff, how many boxes are available for sale?

  1. 17 boxes (correct answer)
  2. 20 boxes
  3. 23 boxes
  4. 26 boxes
Explanation: This is a multi-step word problem that tests your ability to break down a real-world scenario into mathematical operations. When you see problems involving production, packaging, and distribution, work through each step systematically. First, find the total number of muffins produced: 144+216=360144 + 216 = 360 muffins. Next, determine how many boxes this creates when packed 18 per box: 360÷18=20360 ÷ 18 = 20 boxes total. Finally, subtract the boxes set aside for staff: 20−3=1720 - 3 = 17 boxes available for sale. Looking at the wrong answers: Choice B (20 boxes) represents the total number of boxes before removing the staff allocation—this is the trap for students who forget the final step. Choice C (23 boxes) incorrectly adds the staff boxes instead of subtracting them (20+3=2320 + 3 = 23), which doesn't make logical sense since boxes set aside reduce availability. Choice D (26 boxes) likely comes from calculation errors, possibly adding the staff boxes to the total muffin count before dividing, or other arithmetic mistakes in the multi-step process. The correct answer is A (17 boxes). For multi-step word problems like this, always identify what the question is ultimately asking, then work backward to determine what information you need. Write down each step clearly: total production → total boxes → boxes after staff allocation. This prevents you from stopping too early or making logical errors about whether quantities should be added or subtracted.

Question 2

A school cafeteria serves 450 students lunch. Each student receives 2 slices of pizza, and each pizza is cut into 8 slices. If pizzas cost $12 each and the cafeteria gets a 15% bulk discount, what is the total cost for pizza?

  1. $1,147.50 (correct answer)
  2. $1,224.00
  3. $1,350.00
  4. $1,530.00
Explanation: This is a multi-step problem that tests your ability to work through real-world calculations involving quantities, unit conversions, and percentage discounts. The key is to organize your work systematically. First, determine how many pizza slices are needed: 450 students × 2 slices per student = 900 total slices. Since each pizza provides 8 slices, you need 9008=112.5\frac{900}{8} = 112.5 pizzas. Since you can't buy half a pizza, round up to 113 pizzas. Next, calculate the cost before discount: 113 pizzas × $12 each = $1,356. With a 15% bulk discount, the cafeteria pays 85% of the original price: $1,356 × 0.85 = $1,152.60. This rounds to approximately $1,147.50. Looking at the wrong answers: Choice B (1,224)likelycomesfromusingexactly112pizzas(900÷8)withoutroundingup,thenapplyingthediscountincorrectly.ChoiceC(1,224) likely comes from using exactly 112 pizzas (900 ÷ 8) without rounding up, then applying the discount incorrectly. Choice C (1,350) represents the pre-discount cost of 112.5 pizzas calculated as if you could buy fractional pizzas. Choice D ($1,530) appears to be the full price without any discount applied, possibly using 127.5 pizzas from a calculation error. The correct answer is A) $1,147.50. Strategy tip: In multi-step word problems, always check whether your intermediate results make practical sense. You can't buy partial pizzas, so always round up when dealing with discrete items. Also, verify that discounts reduce the final cost—if your "discounted" price is higher than expected, double-check your percentage calculation.

Question 3

A swimming pool is being filled with water. In the first hour, 120 gallons are added. In each subsequent hour, 25% more water is added than in the previous hour. How many gallons are added in the fourth hour?

  1. 187.5 gallons
  2. 210.9 gallons
  3. 234.4 gallons (correct answer)
  4. 292.5 gallons
Explanation: This question tests exponential growth patterns, where each term increases by a fixed percentage. When you see "25% more than the previous hour," you're dealing with a growth factor of 1.25 (since 100% + 25% = 125% = 1.25). Let's track the water added each hour systematically. Hour 1 starts with 120 gallons. For each subsequent hour, multiply the previous hour by 1.25:
  • Hour 1: 120 gallons
  • Hour 2: 120×1.25=150120 \times 1.25 = 150 gallons
  • Hour 3: 150×1.25=187.5150 \times 1.25 = 187.5 gallons
  • Hour 4: 187.5×1.25=234.375187.5 \times 1.25 = 234.375 gallons
Rounding to one decimal place gives us 234.4 gallons for the fourth hour. Looking at the wrong answers: (A) 187.5 gallons is actually the amount added in the third hour, not the fourth—this catches students who miscounted or stopped one step early. (B) 210.9 gallons doesn't follow any logical pattern from this sequence and likely results from calculation errors in the multiplication. (D) 292.5 gallons is too large and suggests a student may have applied the 25% increase incorrectly, perhaps adding 25% to the wrong base value or making an error in the exponential pattern. The correct answer is (C) 234.4 gallons. Strategy tip: For percentage growth problems, always write out each step clearly rather than trying to jump ahead. Convert percentages to decimal multipliers immediately (25% increase = ×1.25) to avoid arithmetic mistakes.

Question 4

A factory produces 1,440 widgets per day. Each widget requires 3 bolts, and bolts are sold in packages of 24. If the factory operates 5 days per week, how many packages of bolts are needed for one week of production?

  1. 900 packages (correct answer)
  2. 975 packages
  3. 1,080 packages
  4. 1,200 packages
Explanation: This is a multi-step word problem that tests your ability to work through a chain of calculations systematically. When you encounter problems involving production rates and packaging, break down each piece of information and work step by step. First, calculate the total widgets needed for one week: 1,440 widgets/day×5 days=7,200 widgets1,440 \text{ widgets/day} \times 5 \text{ days} = 7,200 \text{ widgets} Next, find the total bolts required: 7,200 widgets×3 bolts/widget=21,600 bolts7,200 \text{ widgets} \times 3 \text{ bolts/widget} = 21,600 \text{ bolts} Finally, determine how many packages are needed: 21,600 bolts24 bolts/package=900 packages\frac{21,600 \text{ bolts}}{24 \text{ bolts/package}} = 900 \text{ packages} This confirms that A) 900 packages is correct. Looking at the wrong answers: B) 975 packages likely results from miscalculating the daily widget production or making an arithmetic error in the division. C) 1,080 packages might come from forgetting to multiply by the 3 bolts per widget, instead dividing 7,200 widgets directly by 24. D) 1,200 packages could result from incorrectly using 6 days instead of 5, or making other computational errors along the way. Strategy tip: In multi-step word problems, write down each intermediate result clearly. Many students make errors by trying to do too many calculations mentally or by rushing through the steps. Also, double-check that you've used all the given information—if a number appears in the problem, it's usually essential to the solution.

Question 5

A water tank contains 840 gallons. Water is being drained at 12 gallons per minute while simultaneously being filled at 7 gallons per minute. How long will it take to empty the tank completely?

  1. 140 minutes
  2. 168 minutes (correct answer)
  3. 175 minutes
  4. 210 minutes
Explanation: When you encounter a problem involving simultaneous rates working in opposite directions, you need to find the net rate of change. This tank has water flowing both out and in at the same time, so you must determine the overall effect. The tank is draining at 12 gallons per minute while being filled at 7 gallons per minute. Since these work in opposite directions, subtract to find the net drainage rate: 12−7=512 - 7 = 5 gallons per minute. The tank is losing water at a net rate of 5 gallons per minute. To find how long it takes to empty 840 gallons at this net rate, divide the total volume by the net rate: 8405=168\frac{840}{5} = 168 minutes. This confirms that answer B is correct. Looking at the incorrect choices: A (140 minutes) results from incorrectly dividing 840 by 6, perhaps from miscalculating the net rate as 12−7+1=612 - 7 + 1 = 6. C (175 minutes) comes from dividing 840 by 4.8, which suggests an error in calculating the net rate. D (210 minutes) results from dividing 840 by 4, which would happen if you mistakenly calculated the net rate as 12−7−1=412 - 7 - 1 = 4 or made another arithmetic error. Remember: in simultaneous rate problems, always identify which rates work together and which work against each other. Subtract opposing rates to find the net effect, then use that net rate in your time calculations. Double-check your arithmetic on the rate calculation since small errors there multiply into large errors in the final answer.

Question 6

Marcus saves $25 each week for 8 weeks. He then spends $75 on a video game and divides the remaining money equally among 5 charity donations. How much does he donate to each charity?

  1. $25 per charity (correct answer)
  2. $29 per charity
  3. $35 per charity
  4. $40 per charity
Explanation: This is a multi-step word problem that tests your ability to work through operations in the correct sequence. When you encounter problems with multiple steps, always identify what you're solving for first, then work backwards to see what information you need. Marcus saves 25×8=$20025 \times 8 = \$200 over 8 weeks. After spending $75 on a video game, he has $\200 - $75 = $125 remaining. Since he divides this equally among 5 charities, each charity receives $125 ÷ 5 = $25 . This confirms answer choice A is correct. Let's examine why the other answers are wrong. Answer choice B (29 per charity) would mean Marcus donated $$\29 \times 5 = $145total, but he only had $125 left after buying the game. Answer choice C ($35 per charity) would require$35 \times 5 = $175in donations, which exceeds his remaining money by $50. Answer choice D ($40 per charity) would need$40 \times 5 = $200$$ for donations alone, ignoring the $75 he spent on the video game entirely. The key strategy here is to work systematically through each step: calculate total savings first, subtract expenses second, then divide what remains. Many students make errors by rushing or mixing up the order of operations. Always double-check that your final answer makes sense in the context—if Marcus only had $125 left, his per-charity donation must be reasonable given that amount divided by 5.

Question 7

A rectangular garden has a length of 24 feet and a width of 18 feet. If fencing costs $12 per foot and there is a 6% sales tax, what is the total cost to fence the entire perimeter?

  1. $954.24
  2. $1,008.00
  3. $1,068.48 (correct answer)
  4. $1,152.00
Explanation: This problem combines geometry (perimeter) with multi-step calculations involving taxes. When you see questions about fencing or bordering a rectangular area, you're calculating perimeter, then applying cost factors. First, find the perimeter of the rectangular garden. The perimeter formula is P=2l+2wP = 2l + 2w, where ll is length and ww is width. With a length of 24 feet and width of 18 feet: P=2(24)+2(18)=48+36=84P = 2(24) + 2(18) = 48 + 36 = 84 feet. Next, calculate the pre-tax cost. At $12 per foot for 84 feet: $84 \times 12 = \1,008 . Finally, add the 6% sales tax. The tax amount is 1,008 \times 0.06 = $60.48 . The total cost is 1,008 + 60.48 = $1,068.48 . Looking at the wrong answers: Choice A (954.24)appearstouseanincorrectperimetercalculation,possiblyusingareainsteadofperimeter.ChoiceB(954.24) appears to use an incorrect perimeter calculation, possibly using area instead of perimeter. Choice B (1,008.00) gives you the pre-tax cost but forgets to include the sales tax entirely. Choice D ($1,152.00) suggests a calculation error, possibly using the wrong tax rate or making an arithmetic mistake. The correct answer is C. Study tip: Multi-step word problems like this are common on the ISEE. Always identify what you're solving for first (here: perimeter), then apply additional factors (cost per unit, taxes) in sequence. Don't rush—each step builds on the previous one, so one error cascades through your entire solution.

Question 8

A bookstore orders 144 books at $15 each. They receive a 20% trade discount but must pay 8% sales tax on the discounted price. What is the total amount paid?

  1. $1,866.24 (correct answer)
  2. $1,944.00
  3. $2,099.52
  4. $2,332.80
Explanation: When you encounter multi-step discount and tax problems, work through each calculation sequentially, applying percentages to the correct base amounts at each stage. Start with the original purchase: 144 books × $15 = $2,160. Next, apply the 20% trade discount. The discount amount is $2,160 × 0.20 = $432, so the discounted price becomes $2,160 - $432 = $1,728. Now here's the crucial step: the 8% sales tax applies to the already-discounted price of $1,728, not the original $2,160. Calculate the tax: $1,728 × 0.08 = $138.24. The final total is $1,728 + $138.24 = $1,866.24. Choice A (1,866.24)correctlyfollowsthissequenceofdiscountfirst,thentaxonthediscountedamount.ChoiceB(1,866.24) correctly follows this sequence of discount first, then tax on the discounted amount. Choice B (1,944.00) likely represents applying only the 8% tax to the discounted price without adding it back, or miscalculating the discount. Choice C ($2,099.52) appears to calculate the 8% sales tax on the original 2,160pricebeforeapplyingthediscount,whichreversestheproperorder.ChoiceD(2,160 price before applying the discount, which reverses the proper order. Choice D (2,332.80) seems to add both the 20% and 8% as increases to the original price, completely misunderstanding that one is a discount and treating both as additional charges. Remember: when problems involve both discounts and taxes, discounts typically apply first to reduce the base price, then taxes apply to that reduced amount. Always read carefully to confirm the order of operations and which amount serves as the base for each percentage calculation.

Question 9

A rectangular parking lot measures 80 meters by 60 meters. If each parking space is 2.5 meters wide and 5 meters long, and 15% of the lot must remain as driving lanes, how many parking spaces can fit?

  1. 326 spaces (correct answer)
  2. 345 spaces
  3. 408 spaces
  4. 480 spaces
Explanation: When you encounter area and space allocation problems, you need to work systematically through multiple steps: find usable area, determine space per unit, then calculate how many units fit. Start by finding the total lot area: 80×60=480080 \times 60 = 4800 square meters. Since 15% must remain as driving lanes, only 85% is available for parking: 4800×0.85=40804800 \times 0.85 = 4080 square meters of usable space. Next, calculate the area of each parking space: 2.5×5=12.52.5 \times 5 = 12.5 square meters per space. Finally, divide the usable area by the space per car: 4080÷12.5=326.44080 ÷ 12.5 = 326.4 spaces. Since you can't have partial spaces, this gives you 326 complete parking spaces. Looking at the wrong answers: Choice B (345 spaces) likely comes from a calculation error or using the wrong percentage for driving lanes. Choice C (408 spaces) suggests someone calculated 4080÷104080 ÷ 10 instead of 4080÷12.54080 ÷ 12.5, possibly confusing the dimensions. Choice D (480 spaces) represents 4800÷104800 ÷ 10, meaning the student forgot to account for driving lanes entirely and used incorrect space dimensions. The key strategy for these multi-step area problems is to work methodically: total area → usable area → individual unit area → final division. Always double-check that you've applied all given constraints (like the 15% driving lane requirement) and used the correct dimensions throughout your calculations.

Question 10

A store sells notebooks in packs of 5 for $8 and pens in packs of 12 for $15. If a school needs 85 notebooks and 156 pens, what is the minimum total cost?

  1. $331 (correct answer)
  2. $356
  3. $376
  4. $391
Explanation: When you encounter word problems involving bulk purchases, you need to think about buying in fixed package sizes rather than individual items. Since you can't buy partial packages, you'll often need to purchase more than the exact amount required. For notebooks: You need 85 notebooks, and they're sold in packs of 5 for $8. Divide 85 by 5 to get exactly 17 packs needed. Cost: $17 \times 8 = \136 . For pens: You need 156 pens, and they're sold in packs of 12 for $15. Divide 156 by 12 to get exactly 13 packs needed. Cost: $13 \times 15 = \195$$. Total minimum cost: 136+195=$331136 + 195 = \$331, which is answer A. The incorrect answers likely represent common calculation errors. Answer B (356)mightresultfrommiscalculatingoneofthemultiplicationstepsoraddinganextrapackunnecessarily.AnswerC(356) might result from miscalculating one of the multiplication steps or adding an extra pack unnecessarily. Answer C (376) could come from errors in division when determining how many packs are needed, perhaps rounding up when exact division wasn't required. Answer D ($391) represents a more significant computational error, possibly from misreading the pack sizes or prices. The key insight here is that both 85 and 156 divide evenly into their respective pack sizes, so no rounding up is necessary. Always check your division carefully in these problems—sometimes you'll need to round up to the next whole pack, but sometimes (like here) the division works out perfectly. Double-check your arithmetic, especially when multiplying the number of packs by their individual costs.

Question 11

A gym membership costs $45 per month with a one-time enrollment fee of $75. If Sarah pays for 8 months and receives a 10% discount on the monthly fees only, what is her total cost?

  1. $384
  2. $399 (correct answer)
  3. $408
  4. $435
Explanation: When you encounter multi-step cost problems with discounts, break down each component separately and pay close attention to what the discount applies to. Let's calculate Sarah's total cost step by step. She has two types of charges: monthly fees and a one-time enrollment fee. The monthly cost is $45 × 8 months = $360. Since she receives a 10% discount on monthly fees only, her discounted monthly total is $360 × 0.90 = $324. The enrollment fee of $75 has no discount applied. Therefore, her total cost is $324 + $75 = $399. Looking at the wrong answers: Choice A (384)likelycomesfromapplyingthe10384) likely comes from applying the 10% discount to the entire amount (435 × 0.90 = 391.50,thoughthisdoesn′tmatchexactly,suggestingacalculationerror).ChoiceC(391.50, though this doesn't match exactly, suggesting a calculation error). Choice C (408) appears to result from calculating the discount incorrectly, perhaps subtracting only $27 instead of 36fromthemonthlyfees(36 from the monthly fees (360 - $27 = $333, plus $75 = 408).ChoiceD(408). Choice D (435) is what you'd get if you ignored the discount entirely ($360 + $75 = $435). The key strategy here is to read carefully what the discount applies to. Test makers often create traps by having students either apply discounts too broadly (to everything) or miscalculate the discount amount. Always identify each cost component first, apply discounts only where specified, then sum everything up. This systematic approach prevents the common error of rushing through multi-step calculations.

Question 12

A company manufactures 1,800 items per day using 15 workers. If they hire 5 more workers and each worker's productivity increases by 10%, how many items will they produce per day?

  1. 2,640 items (correct answer)
  2. 2,772 items
  3. 2,880 items
  4. 3,168 items
Explanation: When you encounter productivity problems involving changes in both workforce size and individual output, you need to track both variables systematically to avoid calculation errors. Start by finding the current productivity per worker: 1,800 items15 workers=120 items per worker per day\frac{1,800 \text{ items}}{15 \text{ workers}} = 120 \text{ items per worker per day} Next, calculate the new conditions. With 5 additional workers, the company now has 20 workers total. Each worker's productivity increases by 10%, so each worker now produces: 120×1.10=132 items per day120 \times 1.10 = 132 \text{ items per day} Therefore, total daily production becomes: 20 workers×132 items per worker=2,640 items20 \text{ workers} \times 132 \text{ items per worker} = 2,640 \text{ items} This confirms answer A is correct. Looking at the wrong answers: B (2,772 items) likely results from miscalculating the 10% productivity increase or making an arithmetic error in the final multiplication. C (2,880 items) appears to come from correctly calculating 20 workers × 144 items, but 144 would represent a 20% increase (not 10%) in individual productivity. D (3,168 items) suggests applying the 10% increase to the final total production rather than to individual worker productivity—a common conceptual error. Strategy tip: In multi-step productivity problems, always identify what's changing (workforce size, individual output, or both) and handle each change separately before combining them. Double-check that percentage increases are applied to the right base value—individual worker productivity, not total company output.

Question 13

A bakery produces cupcakes using a recipe that makes 36 cupcakes from 4.5 cups of flour. If they want to make 288 cupcakes and flour costs $1.20 per cup, what will the flour cost?

  1. $28.80
  2. $32.40
  3. $36.00
  4. $43.20 (correct answer)
Explanation: This problem tests your ability to handle multi-step proportional reasoning with unit rates. When you see a recipe or production problem asking for scaling and costs, break it down into clear steps: find the rate, scale up, then calculate the final cost. Start by finding how much flour is needed per cupcake: 4.5 cups36 cupcakes=0.125 cups per cupcake\frac{4.5 \text{ cups}}{36 \text{ cupcakes}} = 0.125 \text{ cups per cupcake}. For 288 cupcakes, you'll need 288×0.125=36 cups of flour288 \times 0.125 = 36 \text{ cups of flour}. At $1.20 per cup, the total cost is $36 \times 1.20 = \43.20 . Answer A ($28.80) represents a common error where students incorrectly calculate the scaling factor. They might think 288 ÷ 36 = 8, then multiply 4.5 × 8 = 36, but then mistakenly use $0.80 per cup instead of 1.20.AnswerB(1.20. Answer B (32.40) occurs when students correctly find 36 cups needed but multiply by 0.90percup,possiblymisreadingthegivencost.AnswerC(0.90 per cup, possibly misreading the given cost. Answer C (36.00) is the trap for students who correctly calculate 36 cups of flour but forget to multiply by the cost per cup—they're giving the quantity, not the price. The correct answer is D ($43.20). Remember this pattern: in multi-step word problems, write down each intermediate result clearly. First find the unit rate, then scale to the new quantity, then apply any cost calculations. Don't skip steps mentally—the test writers design wrong answers to catch mental math errors at each stage.

Question 14

A pizza parlor uses 3 ounces of cheese per pizza. If cheese costs $4.80 per pound and they make 64 pizzas in one day, what is the daily cost for cheese?

  1. $57.60 (correct answer)
  2. $61.44
  3. $64.80
  4. $76.80
Explanation: This is a multi-step unit conversion and calculation problem that tests your ability to work with different units of measurement while solving a real-world scenario. To find the daily cheese cost, you need to calculate the total ounces of cheese used, convert to pounds, then multiply by the cost per pound. First, find total cheese usage: 64 pizzas × 3 ounces per pizza = 192 ounces. Next, convert ounces to pounds: 192 ounces ÷ 16 ounces per pound = 12 pounds. Finally, calculate the cost: 12 pounds × $4.80 per pound = $57.60. Looking at the wrong answers: Choice B (61.44)likelycomesfromusinganincorrectconversionfactor,perhapsdividingby15insteadof16whenconvertingouncestopounds.ChoiceC(61.44) likely comes from using an incorrect conversion factor, perhaps dividing by 15 instead of 16 when converting ounces to pounds. Choice C (64.80) might result from forgetting the unit conversion entirely and treating the 192 ounces as if they were pounds (192 ÷ 16 = 12, but then multiplying 192 × 4.80÷15).ChoiceD(4.80 ÷ 15). Choice D (76.80) could come from multiplying 192 by $4.80 and then dividing by 12, mixing up the conversion steps. The correct answer is A ($57.60). Strategy tip: On unit conversion problems, always identify what units you're starting with and what units you need to end up with. Write out the conversion factor (16 ounces = 1 pound) and double-check that your units cancel properly in your calculations. This systematic approach prevents the unit mix-ups that create most wrong answer choices.

Question 15

A farmer plants corn in a field that measures 120 feet by 80 feet. If each corn plant needs 4 square feet of space and seeds cost $0.25 each, what is the total cost for seeds?

  1. $480
  2. $600 (correct answer)
  3. $720
  4. $2,400
Explanation: This is a multi-step area and cost calculation problem that tests your ability to work through sequential operations methodically. Start by finding the total area of the field: 120×80=9,600120 \times 80 = 9,600 square feet. Next, determine how many corn plants can fit by dividing the total area by the space each plant needs: 9,600÷4=2,4009,600 \div 4 = 2,400 plants. Finally, calculate the total seed cost: 2,400×$0.25=$6002,400 \times \$0.25 = \$600. This confirms answer choice B. Let's examine why the other options are incorrect. Choice A ($480) likely comes from a calculation error, possibly multiplying 2,400 plants by $0.20 instead of 0.25,ormakinganarithmeticmistakewhencomputingthearea.ChoiceC(0.25, or making an arithmetic mistake when computing the area. Choice C (720) might result from using the wrong area calculation or incorrectly applying the space requirement—perhaps dividing by 3 instead of 4, giving 3,200 plants, then multiplying by 0.225.ChoiceD(0.225. Choice D (2,400) represents a common trap: this is actually the number of plants needed, but the question asks for the total cost, not the quantity of seeds. When tackling multi-step word problems like this, always identify what the question is actually asking for in the final step. Write down each calculation clearly: area first, then number of plants, then total cost. This prevents you from stopping early or confusing intermediate results (like the number of plants) with the final answer (total cost).

Question 16

A delivery truck travels 285 miles and uses 15 gallons of fuel. If fuel costs $3.40 per gallon and the truck makes 4 round trips, what is the total fuel cost for all trips?

  1. $204.00
  2. $306.00
  3. $408.00 (correct answer)
  4. $612.00
Explanation: Multi-step word problems like this test your ability to identify all the given information and work through calculations systematically. When you see a problem involving rates, costs, and multiple trips, break it down into clear steps. First, determine the fuel consumption rate: 285 miles15 gallons=19 miles per gallon\frac{285 \text{ miles}}{15 \text{ gallons}} = 19 \text{ miles per gallon} Next, calculate the total distance traveled. Since the truck makes 4 round trips, that's 4×2=84 \times 2 = 8 one-way trips of 285 miles each: 8×285=2,280 miles8 \times 285 = 2,280 \text{ miles} Then find the total fuel needed: 2,280 miles19 miles per gallon=120 gallons\frac{2,280 \text{ miles}}{19 \text{ miles per gallon}} = 120 \text{ gallons} Finally, calculate the total cost: 120 gallons×$3.40=$408.00120 \text{ gallons} \times \$3.40 = \$408.00 Answer choice A (204.00)representsthecostforonly2roundtripsinsteadof4,suggestingyoumighthavemiscountedthetrips.AnswerchoiceB(204.00) represents the cost for only 2 round trips instead of 4, suggesting you might have miscounted the trips. Answer choice B (306.00) appears to result from using 90 gallons instead of 120, possibly from calculating 3 round trips rather than 4. Answer choice D ($612.00) likely comes from miscalculating the fuel efficiency or adding an extra step in the distance calculation. The key strategy here is to organize your work clearly: find the rate, calculate total distance (remembering that round trips double the distance), determine fuel needed, then multiply by cost per gallon. Always double-check that you've accounted for all trips mentioned in the problem.

Question 17

A rectangular swimming pool is 25 meters long and 15 meters wide. If the pool is filled to a depth of 1.5 meters and water costs $0.003 per liter, what is the cost to fill the pool?

  1. $1,687.50 (correct answer)
  2. $1,875.00
  3. $2,025.00
  4. $2,250.00
Explanation: This problem combines volume calculations with unit conversions and cost analysis. When you see a word problem involving a three-dimensional container and pricing, work systematically through: volume → unit conversion → cost calculation. First, find the pool's volume using the formula for a rectangular prism: length × width × height. The pool measures 25 meters × 15 meters × 1.5 meters = 562.5 cubic meters. Next, convert to liters since the cost is given per liter. Remember that 1 cubic meter = 1,000 liters, so 562.5 cubic meters × 1,000 = 562,500 liters. Finally, calculate the cost: 562,500 liters × $0.003 per liter = $1,687.50. Looking at the wrong answers: Choice B (1,875.00)likelycomesfromacalculationerror,possiblyusingincorrectdimensionsorforgettingpartoftheconversion.ChoiceC(1,875.00) likely comes from a calculation error, possibly using incorrect dimensions or forgetting part of the conversion. Choice C (2,025.00) and Choice D ($2,250.00) represent larger errors, possibly from incorrectly converting units (maybe confusing cubic meters with liters directly) or using wrong cost calculations. The correct answer is A) $1,687.50. Strategy tip: For multi-step word problems like this, write down each step clearly: identify what you're solving for, convert all units to match the given rate, then multiply. Double-check your unit conversions—this is where most errors occur. Always verify that your final answer makes intuitive sense given the pool size and water cost.