What is the value of (300 - (25 \times 4 + 50 \div 2))?
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ISEE Middle Level Mathematics Achievement Quiz
Practice Four Operations Fluency in ISEE Middle Level Mathematics Achievement with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.
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What is the value of (300 - (25 \times 4 + 50 \div 2))?
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 Mathematics Achievement.
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.
What is the value of (300 - (25 \times 4 + 50 \div 2))?
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 \times 4 = 100) and (50 \div 2 = 25). Now, perform the addition inside the parentheses: (100 + 25 = 125). Finally, perform the subtraction: (300 - 125 = 175).
17. You buy 4 shirts at seven dollars and twenty-five cents ($7.25) each. What is the total cost?
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,isobtainedbyaccuratelyperformingthemultiplication,demonstratinganunderstandingofmultiplyingdecimals.Acommonmistake,suchas28.00, 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.
16. A video game costs forty-nine dollars and ninety-nine cents (49.99).Itisdiscountedbytendollars(10.00). What is the new price?
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,isobtainedbyaccuratelyperformingthesubtraction,demonstratinganunderstandingofdecimalplacesinmoney.Acommonmistake,suchas59.99, 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.
13. A hat costs nine dollars and eighty cents ($9.80). You buy 3 hats. What is the total cost?
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,isobtainedbyaccuratelyperformingthemultiplication,demonstratinganunderstandingofcarryingoverindecimals.Acommonmistake,suchas19.60, 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.
Daniel had a certain amount of money. He spent 25onabook.Then,hegavehalfoftheremainingmoneytohisbrother.Ifhenowhas40, how much money did Daniel have initially?
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 25onabook.Tofindhisinitialamount,addthe25 back: (80+25 = $105).
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?
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 \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 \times 150 = 18,000) books.
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?
Explanation: First, find the total amount of grain sold: (825 + 1150 = 1975) pounds. Next, find the amount of remaining grain by subtracting the amount sold from the starting amount: (2500 - 1975 = 525) pounds. Finally, divide the remaining grain by the number of bags: (525 \div 25 = 21) pounds per bag.
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?
Explanation: Follow the operations in order. First, multiply 100 by 4: (100 \times 4 = 400). Second, subtract 60 from the result: (400 - 60 = 340). Third, divide this result by 2: (340 \div 2 = 170). Finally, add 15 to this result: (170 + 15 = 185).
A recipe for 12 cookies requires 2 cups of flour. How many cups of flour are needed to make 90 cookies?
Explanation: First, determine the scaling factor for the recipe. You want to make 90 cookies instead of 12. The scaling factor is (90 \div 12 = 7.5). Now, multiply the amount of flour by this scaling factor: (2 \text{ cups} \times 7.5 = 15) cups. Alternatively, find how many cookies one cup of flour makes: (12 \div 2 = 6) cookies per cup. Then divide the desired number of cookies by this rate: (90 \div 6 = 15) cups.
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?
Explanation: First, calculate the number of students in the first seven classrooms: (7 \times 24 = 168) students. Next, find the number of remaining classrooms: (15 - 7 = 8) classrooms. Then, calculate the number of students in these remaining classrooms: (8 \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 = 384) students.
A store bought 50 shirts for 12each.Itsold35oftheshirtsfor20 each. The remaining shirts were sold on clearance for $8 each. What was the store's total profit from selling all 50 shirts?
Explanation: First, calculate the total cost of the shirts: (50 \times 12=600). Next, calculate the revenue from the 35 shirts sold at the regular price: (35 \times 20=700). Then, find the number of remaining shirts: (50 - 35 = 15). Calculate the revenue from the clearance shirts: (15 \times 8=120). Find the total revenue by adding the regular and clearance sales: (700+120 = 820\). Finally, calculate the profit by subtracting the total cost from the total revenue: \(820 - 600=220).
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?
Explanation: First, calculate the total number of miles the athlete runs in one week (7 days): (3 \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 \text{ miles} \times 5,280 \text{ feet/mile} = 110,880) feet.
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?
Explanation: First, calculate the perimeter of the garden: (2 \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 = 75) feet. Finally, calculate the total cost of the fencing: (75 \text{ feet} \times 5/foot=375).
What is the result when the product of 16 and 9 is subtracted from the sum of 215 and 85?
Explanation: First, find the product of 16 and 9: (16 \times 9 = 144). Next, find the sum of 215 and 85: (215 + 85 = 300). Finally, subtract the product from the sum: (300 - 144 = 156).
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?
Explanation: First, calculate the total number of widgets produced in a day: (360 \times 8 = 2880). Next, subtract the defective widgets to find the number of non-defective widgets: (2880 - 125 = 2755). Finally, divide the number of non-defective widgets by the number of widgets per box: (2755 \div 15 = 183) with a remainder of 10. Since the question asks for how many boxes can be completely filled, the answer is 183.
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?
Explanation: Represent the initial depth as -350 feet. Ascending 120 feet is adding 120: (-350 + 120 = -230) feet. This means the submarine is 230 feet below sea level. Diving another 200 feet is subtracting 200: (-230 - 200 = -430) feet. The final depth is 430 feet below sea level.
Maria starts with 200inherbankaccount.Shedeposits15 each week for 8 weeks. She then withdraws enough money to buy 3 concert tickets that cost $45 each. How much money is left in her account?
Explanation: First, calculate the total amount Maria deposits: (15 \times 8 = 120\). Add this to her starting amount: \(200 + 120=320). Next, calculate the total cost of the concert tickets: (3 \times 45=135). Finally, subtract the cost of the tickets from her new balance: (320−135 = $185).
The average of four numbers is 25. Three of the numbers are 17, 26, and 32. What is the fourth number?
Explanation: If the average of four numbers is 25, their sum must be (4 \times 25 = 100). Find the sum of the three given numbers: (17 + 26 + 32 = 75). To find the fourth number, subtract the sum of the three numbers from the total sum: (100 - 75 = 25).
4. A game costs eighteen dollars and fifty cents (18.50).Itisonsaleforfivedollarsandtwenty−fivecents(5.25) off. What is the sale price?
Explanation: This question tests middle school students' fluency in the four basic operations: addition, subtraction, multiplication, and division. Mastery of these operations is crucial for solving real-world problems and is foundational for higher-level math concepts. In this specific problem, students are asked to subtract the discount from the original price to find the sale price. The correct answer, 13.25,isobtainedbyaccuratelyperformingthesubtraction,demonstratinganunderstandingofdecimalalignment.Acommonmistake,suchas23.75, occurs when students add instead of subtract. To improve, students should practice identifying the operation required by a problem and double-check computations for errors. Teaching strategies include using visual aids, such as number lines or grids, and providing step-by-step problem-solving frameworks.
At a school fundraiser, the fifth grade raised 480andthesixthgraderaised620. They decided to combine their money to buy new P.E. equipment. They purchased 8 basketballs for 25eachand12soccerballsfor22 each. How much money was left after these purchases?
Explanation: First, find the total amount of money raised: (480+620 = 1100\). 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=464). Finally, subtract the total cost from the total money raised to find the remaining amount: (1100−464 = $636).