Dice: Mixed Review
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A variety of questions on dice to test understanding of simple probability, including procedural, contextual, and extension problems for GCSE Higher students.
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Full preview • 12 questions
Dice: Mixed Review
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
What is the probability of rolling a 4 on a fair six-sided die?
[1 mark]2.
Calculate the probability of rolling an even number (2, 4, or 6) on a fair six-sided die.
[2 marks]3.
If you roll a die twice, what is the probability that the first roll is a 3 and the second roll is a 5?
[2 marks]4.
A die is rolled three times. What is the probability that all three rolls are the same number?
[3 marks]5.
A fair six-sided die is rolled. What's the probability that the number rolled is greater than 4?
[1 mark]6.
In a game, you win if you roll a 1 or 2 on a die. What is the probability of winning in one roll?
[1 mark]7.
Plot the graph of y = 1/6 for each outcome on a probability distribution diagram for a single roll of a die.
[2 marks]8.
Construct a probability tree diagram for rolling a die twice, showing all possible outcomes.
[3 marks]9.
A die is rolled. What is the probability of rolling a number less than 3 or an even number?
[2 marks]10.
A student claims that the probability of rolling a 6 is higher than rolling any other specific number. Explain whether this is true and why.
[3 marks]11.
A die is rolled twice. Calculate the probability that the sum of the two numbers is 7.
[3 marks]12.
Identify and correct the mistake in this student reasoning: 'The probability of rolling a 4 on a die is 1/4 because there are four sides.'
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet