Practice Set 1 – Exponential Growth - 1.6.1 | 11.Exponential Growth and Decay | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the initial amount in the formula \( y = a(1 + r)^t \) when a town has 1,500 people growing at 3% per year?

💡 Hint: Look for the starting value, which is labeled as **a**.

Question 2

Easy

If a tree grows by 10% each year from 5 meters, what is the initial height?

💡 Hint: What do we start measuring the growth from?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

Which of the following depicts exponential growth?

  • a steady increase
  • a doubling trend
  • a linear drop

💡 Hint: Think of situations where quantities increase rapidly!

Question 2

True or False: Exponential decay reaches zero after a certain time.

  • True
  • False

💡 Hint: Reflect on the graph's behavior near the X axis.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A city’s population is 5,000 and increases by 12% a year. What will the population be in 10 years?

💡 Hint: Think carefully about applying the formula repeatedly!

Question 2

A rare species of butterfly has 100 individuals and doubles every 15 days. How many will there be in 90 days?

💡 Hint: Count how many doubling periods fit in that time frame.

Challenge and get performance evaluation