Mastering Tree Diagrams
Mathematics
GCSE Foundation
0 questions
0 views0 downloads
About This Worksheet
A worksheet covering Tree Diagrams for GCSE Foundation students.
Topics covered:
Worksheet Preview
Full preview • 0 questions
Mastering Tree Diagrams
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key concept: Tree diagrams help us visualize all possible outcomes of a sequence of events. Probabilities can be calculated by multiplying along branches and adding probabilities at decision points.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A coin is flipped twice. Draw a tree diagram to show all possible outcomes.
[3 marks]2.
Calculate the probability of getting two heads when flipping a coin twice using the tree diagram.
[3 marks]3.
A bag contains 3 red balls and 2 blue balls. A ball is drawn, then not replaced. Draw a tree diagram to represent all possible outcomes.
[4 marks]4.
What is the probability of drawing a red ball first and then a blue ball, without replacement?
[3 marks]5.
A card is drawn from a standard deck, replaced, then a second card is drawn. Draw a tree diagram for these events.
[3 marks]6.
Calculate the probability of drawing an Ace first and then a King, with replacement.
[3 marks]7.
If a die is rolled twice, draw a tree diagram showing all possible outcomes.
[3 marks]8.
What is the probability of rolling a 4 and then a 6?
[3 marks]9.
A spinner has 3 red sections, 2 blue sections, and 1 green section. Draw a tree diagram showing the first spin's outcome.
[3 marks]10.
Calculate the probability of spinning red first and then green.
[3 marks]11.
A box contains 5 defective and 15 non-defective lightbulbs. Two bulbs are drawn without replacement. Use a tree diagram to determine the probability that both are non-defective.
[4 marks]12.
A survey shows that 60% of students like pizza, and 40% like pasta. If 3 students are surveyed, draw a tree diagram to represent the possible preferences.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Related Worksheets
Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet