

Looking for a no-prep maths worksheet to help your pupils master probability? This theoretical and simple probability worksheet is perfect for Year 7, Year 8, and Key Stage 3 (KS3) classrooms. It includes structured practice problems covering dice, numbered outcomes, coloured counters, and advanced reverse-probability word problems, plus a complete step-by-step solutions sheet. Use it for homework, independent practice, extension tasks, or cover work!
Master Simple and Theoretical Probability with Real-World Problems!
Help your Key Stage 3 (KS3) pupils build a solid foundation in data handling and statistics with this ready-to-print Simple & Theoretical Probability Worksheet.
This resource is intentionally scaffolded to take pupils from basic probability concepts to complex mathematical reasoning. It covers a wide range of language and logic conditions, including “or”, “at least”, “multiples”, “factors”, and “not” scenarios, culminating in an advanced reverse-probability word problem!
What’s Included?
• Scaffolded Practice Problems: 4 comprehensive sections that build confidence systematically.
• Section 1 (Dice Probabilities): 15 targeted questions analyzing a standard 6-sided die, focusing on even, prime, factors, and numeric inequality outcomes.
• Section 2 (Numbered Selection): Finding probabilities from a sample space of 1 to 10 using multiples and constraints.
• Section 3 (Coloured Counters Bag): Solving compound “or” statements and inverse “not” events.
• Section 4 (Advanced Word Problem): A multi-step critical thinking problem requiring pupils to find how many items were removed to change a probability outcome.
• Complete Step-by-Step Solutions Sheet: A full answer key showing fraction tracking and calculations, making marking quick or allowing for pupil self-assessment.
Curriculum Alignment:
• UK National Curriculum: Suitable for Year 7, Year 8, and Year 9 Maths (Probability). Aligns with standard objectives to record outcomes systematically, calculate the probability of simple random events, and understand that the probabilities of all mutually exclusive outcomes sum to 1.
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