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Quizzes > High School Quizzes > Mathematics

Word Problems With Mixed Operations: Practice Quiz

Boost Confidence Solving Mixed Operations Word Problems

Difficulty: Moderate
Grade: Grade 4
Study OutcomesCheat Sheet
Colorful paper art promoting a Mixed Operation Challenge quiz for middle school students.

Sarah had 5 pencils and she bought 3 more. Then she gave 2 to her friend. How many pencils did she have left?
8
5
7
6
First, add 5 and 3 to get 8. Then, subtract 2 to obtain 6, which is the correct answer.
A farmer has 10 apples and divides them equally among 2 baskets. How many apples are in each basket?
7
4
6
5
Dividing 10 by 2 gives 5 apples per basket. The division evenly splits the total number among the baskets.
Liam multiplied a number by 2 and then added 3 to get 13. What was the original number?
4
5
7
6
Reversing the operations shows that 2 multiplied by 5 plus 3 equals 13. This confirms that 5 is the correct number.
Mia had 12 cookies and shared them equally among 4 friends. How many cookies did each friend get?
3
6
2
4
Dividing 12 cookies among 4 friends gives each friend 3 cookies. This division shows the correct distribution.
Tom had 7 marbles. He won 2 games and earned 3 more marbles per game. How many marbles does he have now?
13
12
10
14
Multiplying 2 wins by 3 marbles per win gives 6, and adding this to his original 7 results in 13. Therefore, 13 is correct.
A bookstore sold 15 books on Monday and twice as many on Tuesday. How many books were sold in total on both days?
40
30
45
60
The bookstore sold 15 books on Monday and 30 books on Tuesday, totaling 45 books. This sum confirms the correct total.
A baker made 24 muffins and arranged them equally into 4 boxes. Then, she added 2 extra muffins to each box. How many muffins are in each box now?
9
8
6
7
After dividing 24 muffins equally into 4 boxes, each box gets 6 muffins. Adding 2 extra muffins results in 8 muffins per box.
A classroom has 28 students who are divided equally into 4 groups and then 2 additional students join each group. How many students are in each group?
11
10
8
9
Dividing 28 by 4 gives 7 students per group. Adding 2 extra students to each group results in 9 students per group.
If you subtract 5 from a number and then multiply the result by 3, you get 18. What is the number?
11
9
10
8
To solve the problem, reverse the operations: divide 18 by 3 to get 6, then add 5 to obtain 11. This confirms that 11 is the correct number.
Julie read 3 chapters of a book on Monday and 5 chapters on Tuesday. If she had already read 7 chapters before Monday, how many chapters had she read in total after Tuesday?
13
12
14
15
She had read 7 chapters before Monday, and then she read 3 chapters on Monday and 5 on Tuesday, summing up to 15 chapters. This addition confirms the correct total.
A water tank holds 60 liters which is distributed equally into 3 smaller tanks, and then 5 liters are added to each small tank. How many liters are in each small tank?
30
20
25
22
Dividing 60 liters equally among 3 tanks yields 20 liters per tank. Adding 5 liters to each tank results in 25 liters, which is the correct answer.
A 50 cm long ribbon is cut into 5 equal pieces, and then each piece is shortened by 2 cm. What is the total length of the shortened pieces?
35
40
50
45
First, the ribbon is cut into 5 equal pieces of 10 cm each. After shortening each piece by 2 cm, they become 8 cm long, and 5 pieces of 8 cm total 40 cm.
In a game, each win earns 4 points and each tie earns 1 point. If a team played 5 games, winning 3 and tying 2, what total points did they earn?
16
12
14
10
The team earned 12 points from wins (3 wins à - 4 points) and 2 points from ties (2 ties à - 1 point). Adding these gives a total score of 14.
A cyclist traveled 30 miles on Monday and then 1.5 times that distance on Tuesday. How many miles did the cyclist travel in total?
60
70
80
75
On Tuesday, the cyclist traveled 1.5 Ã - 30 = 45 miles. Adding Monday's 30 miles results in a total of 75 miles.
A school buys 8 boxes of pencils, with 12 pencils in each box. Later, they discovered 10 pencils were missing. How many pencils do they have now?
90
86
96
88
The total number of pencils is 8 Ã - 12 = 96. After the loss of 10 pencils, the remaining count is 96 - 10 = 86.
A toy factory produces 150 toys in 5 hours. If the factory continues at this rate for 8 hours and then 10 defective toys are removed, how many toys remain?
230
250
220
240
The factory's production rate is 150 ÷ 5 = 30 toys per hour, so in 8 hours, 30 à - 8 = 240 toys are produced. Subtracting the 10 defective toys gives 240 - 10 = 230.
During a sale, a store reduced the price of a toy by 20% and then applied an additional discount of 10%. If the original price was $50, what is the final price?
$38
$40
$36
$37
A 20% discount on $50 reduces the price by $10, making it $40. A further 10% discount on $40 reduces it by $4, resulting in a final price of $36.
A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 8 cups of sugar, how many cups of flour are needed rounded to the nearest whole number?
7
4
5
6
Using the ratio 2:3, multiply 8 by 2/3 to get 16/3, which is approximately 5.33. Rounding to the nearest whole number gives 5 cups, which is the correct answer.
If a student correctly solves 4 problems out of every 7 attempted and they attempted 35 problems, how many problems did they solve correctly?
25
15
18
20
Dividing 35 by 7 gives 5 groups of problems. With 4 correctly solved problems per group, the student solved 5 Ã - 4 = 20 problems correctly.
A car travels at an average speed of 60 miles per hour for 2 hours before taking a 30-minute break. What is the distance traveled during the driving period?
90
150
100
120
The car travels 60 miles per hour for 2 hours, so the distance covered is 60 Ã - 2 = 120 miles. The break does not affect the driving distance, confirming that 120 miles is the correct answer.
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Study Outcomes

  1. Understand the order of operations in mixed arithmetic scenarios.
  2. Solve word problems involving addition, subtraction, multiplication, and division.
  3. Apply strategies to select and execute the correct sequence of operations.
  4. Analyze problem situations to determine the appropriate numeric method.
  5. Evaluate solutions for accuracy using logical reasoning.

Word Problems with Mixed Operations Cheat Sheet

  1. Master the Four Operations - Addition, subtraction, multiplication, and division are your math tools - get comfortable with them! Being able to flip between 8 × 7 = 56 or subtract 15 from 42 will speed up solving mixed problems like a pro. Mixed Operations Guide
  2. Learn PEMDAS Order - Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right) - this acronym is your secret weapon for order! Follow PEMDAS and you'll never mix up 3 + 6 × (5 + 4) ÷ 3 − 7 again. PEMDAS Explained
  3. Crush Word Problems - Identify key info, choose the right operations, and break the problem into bite‑sized steps. Picture a farmer with 3 fields, each with 4 rows of 5 plants - multiplying 3 × 4 × 5 quickly gives you 60 plants! Word Problems Help
  4. Translate Words to Equations - "Sum of," "difference between," "product of," and "quotient of" are math code words. Once you decode them, you can turn "the sum of 8 and 12" straight into 8 + 12 without breaking a sweat. Expression Translator
  5. Estimation Superpower - Need a quick reality check? Round numbers and use mental math to see if answers make sense. Estimating 198 + 203 as 200 + 200 = 400 proves your answer is in the right ballpark. Mixed Problems Worksheets
  6. Visualize with Diagrams - Drawing pictures, making tables, or sketching bar models turns abstract problems into visual puzzles. A quick diagram can transform a tricky fraction problem into an "aha!" moment. Diagram Strategies
  7. Tackle Multi‑Step Challenges - When problems need more than one operation, stay organized and go step by step. Calculating an order total, applying a discount, and adding tax in sequence shows you've got this! Multi‑Step Practice
  8. Review Key Math Properties - The commutative, associative, and distributive properties can make calculations snap together like puzzle pieces. Use distributive property to turn 3 × (4 + 5) into 3 × 4 + 3 × 5 and breeze through sums. Properties Refresher
  9. Boost Fractions & Decimals Skills - Converting 0.75 to ¾ or changing 125% to 1.25 drinks means you'll handle mixed operations with ease. Comfort with fractions, decimals, and percents opens doors to advanced problems. Fractions & Decimals Tips
  10. Practice Makes Perfect - Regularly challenge yourself with mixed operation problems to build speed and confidence. Online quizzes and worksheets turn practice into a game - level up your skills every day! Daily Practice Worksheets
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