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Primary Maths: Chance and Probability Basics (Paper 2 (intermediate))
Primary Maths: Chance and Probability Basics (Paper 2 (intermediate))
This paper links probability to trials: probability times trials gives the expected count, plus listing paired outcomes and combining with or.
Direct answers Decide first whether the question asks for a probability or a count, then choose whether to multiply by the number of trials.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: Primary Maths: Chance and Probability Basics |
| Level | P6 |
02 Questions (10 items)
- FoundationAn event has probability 0. Which kind of event is it?
- FoundationA fair dice is thrown once. What is the probability of a 3 or a 4?
- FoundationA bag holds 4 red balls and 6 white balls. What is the probability of drawing a white ball?
- IntermediateTen cards are numbered 1 to 10. What is the probability of drawing a multiple of 5?
- IntermediateA fair dice is thrown 60 times. How many sixes are expected?
- IntermediateA spinner has 8 equal parts and 3 are blue. In 40 spins, how many blues are expected?
- ChallengeA bag holds 5 red, 3 blue and 2 green balls. What is the probability of red or blue?
- ChallengeTwo fair coins are tossed together. What is the probability that both show heads?
- ChallengeA bag holds 12 balls and 5 are red. What is the probability of a ball that is not red?
- Error redoA student says 30 throws should give 6 sixes because the score is 6. How many are expected?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | An impossible event | Probability zero means there is no chance at all, so the event is impossible. |
| 2 | 1/3 | The results 3 and 4 are two of the six, so 2/6 simplifies to 1/3. |
| 3 | 3/5 | There are 10 balls and 6 are white, so 6/10 simplifies to 3/5. |
| 4 | 1/5 | The multiples of 5 are 5 and 10, so 2 out of 10 simplifies to 1/5. |
| 5 | 10 times | Each throw has probability 1/6, and one sixth of 60 is 10. |
| 6 | 15 times | The probability is 3/8, and three eighths of 40 is 15. |
| 7 | 4/5 | Red or blue covers 5 plus 3, that is 8 balls, and 8/10 simplifies to 4/5. |
| 8 | 1/4 | The four ordered results are head head, head tail, tail head and tail tail, so only one fits. |
| 9 | 7/12 | There are 12 minus 5, that is 7, balls that are not red, so the probability is 7/12. |
| 10 | 5 times | The error is treating the score as the count; it should be one sixth of 30, which is 5. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Three steps: count every possible outcome, count the outcomes that fit, then divide and simplify; a probability always lies between zero and one.Tutor Registration →
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