ISEE Middle Level Quiz: Four Operations Fluency
20 questions · exam conditions
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Four Operations FluencyQuestion 1 of 20

A farmer starts with 2,500 pounds of grain. He sells 825 pounds to one customer and 1,150 pounds to another customer. He then divides the remaining grain equally into 25 bags. How many pounds of grain are in each bag?

21
25
79
100
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ISEE Middle Level Quiz

ISEE Middle Level Quiz: Four Operations Fluency

Practice Four Operations Fluency in ISEE Middle Level 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 Four Operations Fluency, giving you a quick way to practice the rules, question types, and explanations that matter most for ISEE Middle Level.

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 farmer starts with 2,500 pounds of grain. He sells 825 pounds to one customer and 1,150 pounds to another customer. He then divides the remaining grain equally into 25 bags. How many pounds of grain are in each bag?

  1. 21 (correct answer)
  2. 25
  3. 79
  4. 100
Explanation: First, find the total amount of grain sold: 825+1150=1975825 + 1150 = 1975 pounds. Next, find the amount of remaining grain by subtracting the amount sold from the starting amount: 2500−1975=5252500 - 1975 = 525 pounds. Finally, divide the remaining grain by the number of bags: 525÷25=21525 \div 25 = 21 pounds per bag.

Question 2

In a school with 15 classrooms, seven of the classrooms each have 24 students. The remaining classrooms each have 27 students. What is the total number of students in the school?

  1. 168
  2. 216
  3. 384 (correct answer)
  4. 405
Explanation: First, calculate the number of students in the first seven classrooms: 7×24=1687 \times 24 = 168 students. Next, find the number of remaining classrooms: 15−7=815 - 7 = 8 classrooms. Then, calculate the number of students in these remaining classrooms: 8×27=2168 \times 27 = 216 students. Finally, add the student totals from both groups of classrooms to find the total number of students in the school: 168+216=384168 + 216 = 384 students.

Question 3

A rectangular garden is 24 feet long and 15 feet wide. A fence is to be built around the garden, and a gate 3 feet wide will be installed. If fencing costs $5 per foot, what is the total cost of the fencing material needed, not including the gate?

  1. 375 (correct answer)
  2. 390
  3. 405
  4. 1800
Explanation: First, calculate the perimeter of the garden: 2×(length+width)=2×(24+15)=2×39=782 \times (\text{length} + \text{width}) = 2 \times (24 + 15) = 2 \times 39 = 78 feet. This is the total length around the garden. A 3-foot gate will be installed, so the length of fencing needed is the perimeter minus the width of the gate: 78−3=7578 - 3 = 75 feet. Finally, calculate the total cost of the fencing: (75 \text{ feet} \times 5/foot=5/\text{foot} = 375).

Question 4

What is the result when the product of 16 and 9 is subtracted from the sum of 215 and 85?

  1. 144
  2. 156 (correct answer)
  3. 300
  4. 444
Explanation: First, find the product of 16 and 9: 16×9=14416 \times 9 = 144. Next, find the sum of 215 and 85: 215+85=300215 + 85 = 300. Finally, subtract the product from the sum: 300−144=156300 - 144 = 156.

Question 5

A factory produces 360 widgets per hour. The factory operates for 8 hours a day. At the end of one day, inspectors find that 125 widgets are defective and must be discarded. The non-defective widgets are then packed into boxes that hold 15 widgets each. How many boxes can be completely filled?

  1. 183 (correct answer)
  2. 184
  3. 192
  4. 2755
Explanation: First, calculate the total number of widgets produced in a day: 360×8=2880360 \times 8 = 2880. Next, subtract the defective widgets to find the number of non-defective widgets: 2880−125=27552880 - 125 = 2755. Finally, divide the number of non-defective widgets by the number of widgets per box: 2755÷15=1832755 \div 15 = 183 with a remainder of 10. Since the question asks for how many boxes can be completely filled, the answer is 183.

Question 6

At a school fundraiser, the fifth grade raised $480 and the sixth grade raised $620. They decided to combine their money to buy new P.E. equipment. They purchased 8 basketballs for $25 each and 12 soccer balls for $22 each. How much money was left after these purchases?

  1. 264
  2. 464
  3. 636 (correct answer)
  4. 1100
Explanation: First, find the total amount of money raised: (480+480 + 620 = 1100\). Next, calculate the cost of the basketballs: \(8 \times 25 = 200\). Then, calculate the cost of the soccer balls: \(12 \times 22 = 264\). Find the total cost of the equipment: \(200 + 264=264 = 464). Finally, subtract the total cost from the total money raised to find the remaining amount: (1100−1100 - 464 = $636).

Question 7

A delivery truck starts the day with 300 packages. At the first stop, the driver delivers 4 boxes, each containing 12 packages. At the second stop, the driver delivers 7 boxes, each containing 8 packages. How many packages are left on the truck?

  1. 104
  2. 196 (correct answer)
  3. 244
  4. 289
Explanation: First, calculate the number of packages delivered at the first stop: 4×12=484 \times 12 = 48 packages. Next, calculate the number of packages delivered at the second stop: 7×8=567 \times 8 = 56 packages. Then, find the total number of packages delivered: 48+56=10448 + 56 = 104 packages. Finally, subtract the total delivered packages from the starting number of packages: 300−104=196300 - 104 = 196 packages.

Question 8

In a trivia game, a player earns 5 points for each correct answer and loses 3 points for each incorrect answer. If a player starts with 0 points, answers 12 questions correctly, and answers 7 questions incorrectly, what is the player's final score?

  1. 39 (correct answer)
  2. 53
  3. 60
  4. 81
Explanation: First, calculate the total points earned from correct answers: 12×5=6012 \times 5 = 60 points. Next, calculate the total points lost from incorrect answers: 7×3=217 \times 3 = 21 points. Finally, subtract the points lost from the points earned to find the final score: 60−21=3960 - 21 = 39 points.

Question 9

What is the value of 300−(25×4+50÷2)300 - (25 \times 4 + 50 \div 2)?

  1. 125
  2. 175 (correct answer)
  3. 225
  4. 250
Explanation: According to the order of operations (PEMDAS/BODMAS), first evaluate the expressions inside the parentheses. Within the parentheses, perform multiplication and division from left to right. 25×4=10025 \times 4 = 100 and 50÷2=2550 \div 2 = 25. Now, perform the addition inside the parentheses: 100+25=125100 + 25 = 125. Finally, perform the subtraction: 300−125=175300 - 125 = 175.

Question 10

17. You buy 4 shirts at seven dollars and twenty-five cents ($7.25) each. What is the total cost?​​

  1. $28.00
  2. $29.00 (correct answer)
  3. $30.00
  4. $27.00
Explanation: This question tests middle school students' fluency in the four basic operations: addition, subtraction, multiplication, and division. Mastery of these operations is crucial for solving real-world problems and is foundational for higher-level math concepts. In this specific problem, students are asked to multiply the cost per shirt by four to find the total cost. The correct answer, $29.00, is obtained by accurately performing the multiplication, demonstrating an understanding of multiplying decimals. A common mistake, such as $28.00, occurs when students forget to account for the cents properly. To improve, students should practice identifying the operation required by a problem and double-check computations for errors. Teaching strategies include using visual aids, such as number lines or grids, and providing step-by-step problem-solving frameworks.

Question 11

16. A video game costs forty-nine dollars and ninety-nine cents (49.99).Itisdiscountedbytendollars(49.99). It is discounted by ten dollars (10.00). What is the new price?​​

  1. $59.99
  2. $39.99 (correct answer)
  3. $40.99
  4. $49.89
Explanation: This question tests middle school students' fluency in the four basic operations: addition, subtraction, multiplication, and division. Mastery of these operations is crucial for solving real-world problems and is foundational for higher-level math concepts. In this specific problem, students are asked to subtract the discount from the original price to find the new price. The correct answer, $39.99, is obtained by accurately performing the subtraction, demonstrating an understanding of decimal places in money. A common mistake, such as $59.99, occurs when students add instead of subtract. To improve, students should practice identifying the operation required by a problem and double-check computations for errors. Teaching strategies include using visual aids, such as number lines or grids, and providing step-by-step problem-solving frameworks.

Question 12

13. A hat costs nine dollars and eighty cents ($9.80). You buy 3 hats. What is the total cost?​​

  1. $29.40 (correct answer)
  2. $19.60
  3. $29.80
  4. $30.40
Explanation: This question tests middle school students' fluency in the four basic operations: addition, subtraction, multiplication, and division. Mastery of these operations is crucial for solving real-world problems and is foundational for higher-level math concepts. In this specific problem, students are asked to multiply the cost per hat by three to find the total cost. The correct answer, $29.40, is obtained by accurately performing the multiplication, demonstrating an understanding of carrying over in decimals. A common mistake, such as $19.60, occurs when students multiply by two instead of three. To improve, students should practice identifying the operation required by a problem and double-check computations for errors. Teaching strategies include using visual aids, such as number lines or grids, and providing step-by-step problem-solving frameworks.

Question 13

An athlete runs 3 miles every day. If there are 5,280 feet in one mile, how many total feet does the athlete run in one week?

  1. 15,840
  2. 36,960
  3. 110,880 (correct answer)
  4. 132,440
Explanation: First, calculate the total number of miles the athlete runs in one week (7 days): 3 miles/day×7 days=213 \text{ miles/day} \times 7 \text{ days} = 21 miles. Next, convert this distance to feet by multiplying the total miles by the number of feet in a mile: 21 miles×5,280 feet/mile=110,88021 \text{ miles} \times 5,280 \text{ feet/mile} = 110,880 feet.

Question 14

A submarine is at a depth of 350 feet below sea level. It then ascends 120 feet, then dives 200 feet. What is the submarine's final depth in feet below sea level?

  1. 30
  2. 270
  3. 430 (correct answer)
  4. 670
Explanation: Represent the initial depth as -350 feet. Ascending 120 feet is adding 120: −350+120=−230-350 + 120 = -230 feet. This means the submarine is 230 feet below sea level. Diving another 200 feet is subtracting 200: −230−200=−430-230 - 200 = -430 feet. The final depth is 430 feet below sea level.

Question 15

The average of four numbers is 25. Three of the numbers are 17, 26, and 32. What is the fourth number?

  1. 25 (correct answer)
  2. 28
  3. 75
  4. 100
Explanation: If the average of four numbers is 25, their sum must be 4×25=1004 \times 25 = 100. Find the sum of the three given numbers: 17+26+32=7517 + 26 + 32 = 75. To find the fourth number, subtract the sum of the three numbers from the total sum: 100−75=25100 - 75 = 25.

Question 16

Daniel had a certain amount of money. He spent $25 on a book. Then, he gave half of the remaining money to his brother. If he now has $40, how much money did Daniel have initially?

  1. 65
  2. 80
  3. 105 (correct answer)
  4. 130
Explanation: This problem is best solved by working backward. Daniel has 40 left, which is half of the money he had before giving some to his brother. So, before giving money to his brother, he had \(40 \times 2 = $80). This $80 was the amount remaining after he spent $25 on a book. To find his initial amount, add the 25 back: \(80 + $25 = $105).

Question 17

A library has 3 floors. Each floor has 40 bookshelves. Each bookshelf holds 150 books. What is the total number of books in the library?

  1. 600
  2. 6,193
  3. 18,000 (correct answer)
  4. 24,000
Explanation: First, find the total number of bookshelves in the library by multiplying the number of floors by the number of bookshelves per floor: 3×40=1203 \times 40 = 120 bookshelves. Then, find the total number of books by multiplying the total number of bookshelves by the number of books per bookshelf: 120×150=18,000120 \times 150 = 18,000 books.

Question 18

Start with the number 100. Multiply it by 4, subtract 60, divide the result by 2, and then add 15. What is the final number?

  1. 35
  2. 185 (correct answer)
  3. 205
  4. 355
Explanation: Follow the operations in order. First, multiply 100 by 4: 100×4=400100 \times 4 = 400. Second, subtract 60 from the result: 400−60=340400 - 60 = 340. Third, divide this result by 2: 340÷2=170340 \div 2 = 170. Finally, add 15 to this result: 170+15=185170 + 15 = 185.

Question 19

A recipe for 12 cookies requires 2 cups of flour. How many cups of flour are needed to make 90 cookies?

  1. 15 (correct answer)
  2. 18
  3. 30
  4. 45
Explanation: First, determine the scaling factor for the recipe. You want to make 90 cookies instead of 12. The scaling factor is 90÷12=7.590 \div 12 = 7.5. Now, multiply the amount of flour by this scaling factor: 2 cups×7.5=152 \text{ cups} \times 7.5 = 15 cups. Alternatively, find how many cookies one cup of flour makes: 12÷2=612 \div 2 = 6 cookies per cup. Then divide the desired number of cookies by this rate: 90÷6=1590 \div 6 = 15 cups.

Question 20

A store bought 50 shirts for $12 each. It sold 35 of the shirts for $20 each. The remaining shirts were sold on clearance for $8 each. What was the store's total profit from selling all 50 shirts?

  1. 100
  2. 220 (correct answer)
  3. 600
  4. 820
Explanation: First, calculate the total cost of the shirts: (50 \times 12=12 = 600). Next, calculate the revenue from the 35 shirts sold at the regular price: (35 \times 20=20 = 700). Then, find the number of remaining shirts: 50−35=1550 - 35 = 15. Calculate the revenue from the clearance shirts: (15 \times 8=8 = 120). Find the total revenue by adding the regular and clearance sales: (700+700 + 120 = 820\). Finally, calculate the profit by subtracting the total cost from the total revenue: \(820 - 600=600 = 220).