Arithmetic quiz

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.

1 Question 1 of 10
Not answered

Emma has 24 stickers. She gives 7 stickers to her friend and then buys 15 more. How many stickers does she have now?

Hint: First subtract the stickers she gave away, then add the stickers she bought.
Explanation: Emma starts with 24 stickers. After giving away 7, she has 24 - 7 = 17. Then she buys 15 more: 17 + 15 = 32.
2 Question 2 of 10
Not answered

A box contains 8 packs of pencils. Each pack has 12 pencils. How many pencils are in the box?

Hint: Multiply the number of packs by the number of pencils in each pack.
Explanation: There are 8 packs with 12 pencils each. So 8 × 12 = 96 pencils.
3 Question 3 of 10
Not answered

A pizza is cut into 8 equal slices. Leo eats 3 slices. What fraction of the pizza is left?

Hint: Subtract the slices eaten from the total number of slices.
Explanation: The pizza has 8 slices. Leo eats 3, so 8 - 3 = 5 slices are left. The fraction left is 5/8.
4 Question 4 of 10
Not answered

A jacket costs $60 and is on sale for 25% off. What is the sale price?

Hint: Find 25% of 60 first, then subtract it from the original price.
Explanation: 25% of $60 is one quarter of 60, which is $15. The sale price is $60 - $15 = $45.
5 Question 5 of 10
Not answered

A car travels 180 miles in 3 hours. What is its average speed?

Hint: Average speed = distance divided by time.
Explanation: The car travels 180 miles in 3 hours. Average speed = 180 ÷ 3 = 60 miles per hour.
6 Question 6 of 10
Not answered

Mia buys 4 notebooks for $3 each and 2 pens for $2 each. How much does she spend in total?

Hint: Find the cost of the notebooks and the cost of the pens separately, then add.
Explanation: The notebooks cost 4 × $3 = $12. The pens cost 2 × $2 = $4. Total cost = $12 + $4 = $16.
7 Question 7 of 10
Not answered

The average of three test scores is 80. Two scores are 75 and 85. What is the third score?

Hint: If the average of 3 scores is 80, their total is 3 × 80.
Explanation: The total of the three scores must be 3 × 80 = 240. The known scores add to 75 + 85 = 160. The third score is 240 - 160 = 80.
8 Question 8 of 10
Not answered

A rectangular garden is 12 meters long and 5 meters wide. What is its area?

Hint: Area of a rectangle = length × width.
Explanation: Area = 12 × 5 = 60. The garden has an area of 60 m².
9 Question 9 of 10
Not answered

A train leaves at 2:15 PM and arrives at 4:45 PM. How long is the trip?

Hint: Count from 2:15 to 4:15, then from 4:15 to 4:45.
Explanation: From 2:15 PM to 4:15 PM is 2 hours. From 4:15 PM to 4:45 PM is 30 minutes. The trip is 2 hours 30 minutes.
10 Question 10 of 10
Not answered

A class has 28 students. 3/4 of them brought lunch from home. How many students brought lunch from home?

Hint: Find one quarter of 28, then multiply by 3.
Explanation: One quarter of 28 is 7. Three quarters is 7 × 3 = 21. So 21 students brought lunch from home.

Your result

You answered 0 out of 10 questions correctly.

What this quiz checks

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.

Model before calculating

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.

total cost = adult cost + student cost

Translate in four steps

1 Adult tickets: 7 × $18 = $126
2 Student tickets: 12 × $11 = $132
3 Total: $126 + $132 = $258
4 Check: the answer must be a dollar amount larger than either subtotal.
Keywords are clues, not commands

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.

6 boxes with 15 each → multiply. $18 for 6 notebooks → divide to find each.

“Average”

May require total ÷ count, or reversing that relationship when the average is already known.

Average 80 for 3 scores → total must be 240.

“Left” or “remaining”

Often signals subtraction, but only after you identify the correct original total and any prior changes.

Pizza: 8 total slices − 3 eaten = 5 left.
Reverse an average

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.

Average × number of scores = total
80 × 3 = 240
75 + 85 = 160
240 − 160 = 80
Units tell you what the answer means

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.

Speed miles/hour
Area
Money $
Elapsed time hours + minutes
Example: 180 miles ÷ 3 hours = 60 miles per hour. The units divide along with the numbers.
Harder rate problem

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.

First leg time: 120 ÷ 60 = 2 hours
Second leg time: 120 ÷ 40 = 3 hours
Total distance: 240 miles
Total time: 5 hours
Average speed: 240 ÷ 5 = 48 mph
Common word-problem mistakes

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.

Identify the unknown and the relationship before choosing an operation.

Ignoring the reference quantity

Fractions and percentages describe part of a specific whole, so the base quantity matters.

3/4 of 28 means 28 is the whole being partitioned.

Answering an intermediate value

A multi-step problem may require several correct calculations before reaching the requested quantity.

A discount amount is not the same as the final sale price.
Use your result

What to review after this 10-question word problem quiz

0–4 correct

Focus on identifying the unknown, choosing the operation, and writing one step at a time before calculating.

5–7 correct

Review the problem types you missed: percentages, averages, fractions, rates, geometry, money, or elapsed time.

8–10 correct

Move toward multi-step rate problems, reverse percentages, proportions, systems, geometry constraints, and mixed exam-style modeling.

Continue practicing

Move from direct arithmetic stories to broader mathematical modeling

More word problems

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