What is \(30\%\) of \(150\)?
- A \(30\)
- B \(180\)
- C \(50\)
- D \(45\)
Check answer and explanation
Answer D: \(45\)
\(30\%\) of \(150\) is \(0.30\times150=45\).
CH02-01 lesson
Solving Percent Problems Learning Activity
A focused Grade 7 learning session for Solving Percent Problems using visual models, worked examples, strategy guidance, and a short mastery check.
- 15
- minutes
- 6
- lesson parts
- 11
- practice items
Students will build Grade 7 mastery of solving percent problems using models, equations, and test-style reasoning.
Student goal: I can solve problems involving solving percent problems.
Learn the Idea
Solving Percent Problems is part of Grade 7 Percents and Financial Literacy. This activity focuses on the central idea students need before they move into independent practice.
Students will build Grade 7 mastery of solving percent problems using models, equations, and test-style reasoning.
See the Math
| What to notice | How to use it |
|---|---|
| Numbers, units, labels, diagrams, or graphs | Identify what each part represents before calculating. |
| The relationship in the problem | Connect the model to an equation, comparison, or explanation. |
Use the figures and worked questions in the practice set below as the visual model for this skill.
Follow a Worked Example
Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.
For Solving Percent Problems, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.
Connect It to a Real Situation
Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.
After solving, explain what the answer means in the situation, not just the number you calculated.
Avoid Mistakes and Choose a Strategy
- Underline the exact question before solving.
- Label units, variables, or graph axes when they appear.
- Estimate first so unreasonable answers are easier to catch.
- Review missed questions and write the reason for each mistake.
Remember the Key Idea
I can solve problems involving solving percent problems.
Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.
Solve before opening the answer
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
warmup
2 questionsA soccer team won \(75\%\) of their \(20\) games. How many games did they win?
- A \(5\)
- B \(12\)
- C \(15\)
- D \(18\)
Check answer and explanation
Answer C: \(15\)
\(75\%\) of \(20\) is \(0.75 \times 20 = 15\) games.
guided
1 questionWhat percent of \(80\) is \(20\)?
- A \(20\%\)
- B \(60\%\)
- C \(40\%\)
- D \(25\%\)
Check answer and explanation
Answer D: \(25\%\)
\(\frac{20}{80} = \frac{1}{4} = 0.25 = 25\%\).
practice
5 questionsA store has a \(40\%\) off sale. If a jacket originally costs \($80\), what is the discount?
- A \($16\)
- B \($48\)
- C \($40\)
- D \($32\)
Check answer and explanation
Answer D: \($32\)
The discount is \(40\%\) of \($80\): \(0.40 \times 80 = 32\) dollars.
If \(12\) is \(15\%\) of a number, what is the number?
- A \(60\)
- B \(72\)
- C \(80\)
- D \(100\)
Check answer and explanation
Answer C: \(80\)
If \(12 = 0.15 \times n\), then \(n = \frac{12}{0.15} = 80\).
The grid above shows a percent model. What percent is shaded?
- A \(40\%\)
- B \(50\%\)
- C \(60\%\)
- D \(75\%\)
Check answer and explanation
Answer C: \(60\%\)
The shaded region is \(\frac{60}{100} = 60\%\) of the grid.
Maria scored \(85\%\) on a test with \(40\) questions. How many questions did she answer correctly?
- A \(24\)
- B \(30\)
- C \(34\)
- D \(36\)
Check answer and explanation
Answer C: \(34\)
\(85\%\) of \(40\) is \(0.85 \times 40 = 34\) questions.
If a bicycle costs \($120\) and the sales tax is \(8\%\), what is the tax amount?
- A \($8\)
- B \($14.40\)
- C \($12\)
- D \($9.60\)
Check answer and explanation
Answer D: \($9.60\)
The tax is \(8\%\) of \($120\): \(0.08 \times 120 = 9.60\) dollars.
exit
3 questionsWhat is \(5\%\) of \(200\)?
- A \(5\)
- B \(20\)
- C \(15\)
- D \(10\)
Check answer and explanation
Answer D: \(10\)
\(5\%\) of \(200\) is \(0.05 \times 200 = 10\).
By how much did the video game price increase?
- A \($4\)
- B \($20\)
- C \($12\)
- D \($8\)
Check answer and explanation
Answer D: \($8\)
A \(20\%\) increase of \($40\) is \(0.20 \times 40 = 8\) dollars.
A restaurant bill is \($50\). If you tip \(18\%\), what is the tip amount?
- A \($5\)
- B \($6\)
- C \($9\)
- D \($12\)
Check answer and explanation
Answer C: \($9\)
The tip is \(18\%\) of \($50\): \(0.18 \times 50 = 9\) dollars.
