Math Word Problem Quiz
Practice math word problems involving addition, subtraction, multiplication, division, fractions, percentages, money, distance, averages, and geometry. Use hints when needed, choose an answer, and review the explanation after each question.
A box contains 8 packs of pencils. Each pack has 12 pencils. How many pencils are in the box?
A pizza is cut into 8 equal slices. Leo eats 3 slices. What fraction of the pizza is left?
A jacket costs $60 and is on sale for 25% off. What is the sale price?
A car travels 180 miles in 3 hours. What is its average speed?
Mia buys 4 notebooks for $3 each and 2 pens for $2 each. How much does she spend in total?
The average of three test scores is 80. Two scores are 75 and 85. What is the third score?
A rectangular garden is 12 meters long and 5 meters wide. What is its area?
A train leaves at 2:15 PM and arrives at 4:45 PM. How long is the trip?
A class has 28 students. 3/4 of them brought lunch from home. How many students brought lunch from home?
Your result
You answered 0 out of 10 questions correctly.
Word problems test whether you can build the mathematics before calculating
These 10 questions mix addition, subtraction, multiplication, division, fractions, percentages, money, distance, averages, geometry, and elapsed time. The arithmetic is mostly straightforward; the real skill is deciding what each number means and how the quantities are related.
Choose the model
Decide whether the situation is about a total, a rate, a fraction of a quantity, an average, area, or elapsed time.
Sequence the steps
In multi-step problems, write the changes in the order they occur instead of combining everything mentally.
Track units
Miles per hour, dollars, square meters, minutes, and students are part of the mathematics, not decoration.
Check the result
Ask whether the final value is reasonable in context and whether it answers the quantity actually requested.
Separate the story from the mathematical structure
Suppose a museum sells adult tickets for $18 and student tickets for $11. A group buys 7 adult tickets and 12 student tickets. The wording is longer than the mathematics.
Translate in four steps
The same word can appear in problems that require different operations
Instead of searching for a magic keyword, identify the relationship between the quantities. That approach works better once word problems become less predictable.
“Each”
Often suggests a rate or equal groups, but you still need to decide whether to multiply or divide.
“Average”
May require total ÷ count, or reversing that relationship when the average is already known.
“Left” or “remaining”
Often signals subtraction, but only after you identify the correct original total and any prior changes.
An average can be used to reconstruct a missing value
The quiz asks for a missing third score when the average is 80 and two scores are 75 and 85. The key is to recover the total before finding the missing part.
A correct number with the wrong unit is an incomplete answer
The quiz includes speed, money, area, time, and people. Tracking units helps you choose the correct operation and often exposes a wrong setup before you calculate.
Average speed depends on total distance and total time, not the average of two speeds
A car travels 120 miles at 60 mph and then another 120 miles at 40 mph. Because the distances are equal but the times are different, the average speed is not (60 + 40) ÷ 2.
Three errors that happen before the arithmetic even starts
Calculating too soon
Starting with the first numbers you see can produce a correct calculation for the wrong relationship.
Ignoring the reference quantity
Fractions and percentages describe part of a specific whole, so the base quantity matters.
Answering an intermediate value
A multi-step problem may require several correct calculations before reaching the requested quantity.
What to review after this 10-question word problem quiz
Focus on identifying the unknown, choosing the operation, and writing one step at a time before calculating.
Review the problem types you missed: percentages, averages, fractions, rates, geometry, money, or elapsed time.
Move toward multi-step rate problems, reverse percentages, proportions, systems, geometry constraints, and mixed exam-style modeling.