Lesson 4: Revision and Practice

📝 Introduction

Congratulations on reaching the final lesson of this module! 🎉
In this session, we will quickly review the important concepts you have learned about Exponents, Data Handling, and Probability.
After the review, you’ll practice mixed questions to test your understanding and prepare for your BECE exam.

🧠 Quick Revision Summary

⚡ Exponents (Indices)

• Exponents mean repeated multiplication.
• Example:
• Key laws of exponents:
  • Product Rule:
  • Quotient Rule:
  • Power Rule:

📊 Data Handling (Statistics)

• Data is collected through surveys, observation, or experiments.
• We organize data using frequency tables.
• We display data with bar charts, pictograms, pie charts, and line graphs.
• Example: A pie chart shows the proportions of favorite fruits among students.

🎲 Probability

• Probability measures the chance of an event happening.
• Formula:
• Example: Tossing a coin:
  
• Words like “Impossible,” “Unlikely,” “Even Chance,” “Likely,” and “Certain” describe events.

📊 Mixed Practice Questions

🔢 Section A: Short Answer

1. Find the value of
2. Write in its simplest form.
3. In a survey, 18 students chose Mango, and 12 chose Banana.
   What fraction of the students chose Mango?
4. What is the probability of getting an odd number when rolling a fair die?

✅ Section B: Multiple Choice

1. Which of the following represents ?
   1. 3 × 4
   2. 3 × 3 × 3 × 3
   3. 4 × 4 × 4
   4. 4 × 3
2. A die is rolled. What is the probability of getting a number greater than 4?
   1. 1. 

    

   1. 1. 

    

   1. 1. 

    

   1. 
3. Which chart is best for showing how students travel to school?
   1. Line Graph
   2. Pictogram
   3. Frequency Table
   4. Pie Chart

🧩 Section C: Problem Solving

1. A pie chart shows students’ favorite subjects:
   – Maths: 120°
   – English: 90°
   – Science: 90°
   – Others: 60°

   How many students like Maths if the total number is 60 students?

2. A bag contains 3 red balls, 2 blue balls, and 5 yellow balls.
   What is the probability of picking a yellow ball?

📝 Answers and Explanations

Section A:

1. 1. Total students = 18 + 12 = 30;

      Fraction choosing Mango =

1. Odd numbers: 1, 3, 5 → 3 outcomes;
   

Section B:

1. Answer: (ii) 3 × 3 × 3 × 3
2. Answer: (i)
3. Answer: (iv) Pie Chart

Section C:

1. Pie chart total = 360°.
   Fraction for Maths = .
   Students liking Maths =
2. Total balls = 10;
   Yellow balls = 5;
   Probability =

✅ Recap

Well done! In this revision lesson, you reviewed powers and exponents, organizing data into tables and charts, and calculating simple probabilities.
You practiced applying what you’ve learned through mixed exercises that combined different skills.

💭 Reflection Prompt

Which topic (Exponents, Data Handling, or Probability) do you feel most confident in?
Which one do you need to practice more?
List one question you would ask your teacher or tutor to help you understand even better!