Year 7 - Probability - Free practice

Year 7 Probability Worksheets & Practice Tests

Sample spaces, single-stage experiments, relative frequency.

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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.

About this worksheet

Why we built it

Probability in Year 7 is mostly about listing all possible outcomes and assigning fractions to them. These worksheets keep the questions concrete - coins, dice, spinners, cards - while making sure your student handles the language ("equally likely", "impossible", "certain") correctly.

What's covered

Sub-skills your student will practise

  • Listing the sample space for a single-stage experiment
  • Assigning probabilities as fractions, decimals or percentages
  • Probability of complementary events
  • Relative frequency from experimental data
  • Comparing theoretical and experimental probabilities

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Frequently asked

Questions parents ask about probability

What kind of probability questions does Year 7 cover?

Single-stage experiments - one coin flip, one die roll, one spinner, one card drawn from a pack. Two-stage experiments (which need tree diagrams or two-way tables) arrive in Year 8.

How should probabilities be written?

Year 7 accepts fractions, decimals, or percentages, but the cleanest format is usually a fraction in simplest form. For 'pick a heart from a deck', 13/52 = 1/4 is the preferred form.

What does 'complementary event' mean?

The probability that an event doesn't happen. If P(rain) = 0.3, then P(no rain) = 0.7. Complementary probabilities always add to 1.

What's the difference between theoretical and experimental probability?

Theoretical probability is what the maths says should happen (P(heads) = 1/2). Experimental probability is what actually happened in a real trial (heads came up 47 times in 100 flips = 0.47). They get closer together as the number of trials increases.

Want a real plan for the term?

Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.

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