Multiplying Along Branches: Problem Solving & Reasoning
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on multiplying along branches in tree diagrams to solve probability problems. Designed for Grade 7 students to develop procedural mastery and reasoning skills.
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Multiplying Along Branches: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the probability of flipping a coin and then rolling a six-sided die, and getting heads and a 4 respectively.
[2 marks]2.
A bag contains 3 red balls and 2 blue balls. A ball is drawn at random, then replaced. Next, a second ball is drawn. Find the probability that both balls are red.
[3 marks]3.
If the probability of rain is 0.3 and the probability of a windy day is 0.5, and these two events are independent, what is the probability that it is both rainy and windy?
[2 marks]4.
Construct a tree diagram to represent the following: A student chooses a snack (Chocolate or Chips) and then a drink (Juice or Water). If the probability of choosing Chocolate is 0.6 and Chips is 0.4, and the probability of choosing Juice is 0.7 and Water is 0.3, calculate the probability the student chooses Chocolate and Juice.
[4 marks]5.
A game involves flipping two coins. What is the probability that both coins show heads? Show your working.
[2 marks]6.
A card is drawn from a deck of 52 cards, replaced, then another card is drawn. What is the probability both cards are aces?
[3 marks]7.
In a survey, 40% of students prefer tea, and 30% prefer coffee. Assume preferences are independent. What is the probability a student prefers both tea and coffee?
[2 marks]8.
Construct a tree diagram for the following: A person rolls a die and then flips a coin. The die faces are numbered 1-6, and the coin has heads and tails. Find the probability of rolling a 3 and getting tails.
[4 marks]9.
If two independent events each have a probability of 0.8, what is the probability both occur? Show your working.
[3 marks]10.
A student draws two cards sequentially from a deck without replacement. What is the probability both cards are Kings?
[3 marks]11.
Identify and correct the mistake in this probability calculation: 'The probability of rolling a 4 on a die, then flipping a coin and getting tails is 1/6 + 1/2.'
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet