Starter quiz
- If I roll a fair 6-sided die, what is the probability that I roll a 4?
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- If I roll a fair 6-sided die, what is the probability that I roll a prime number?
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- Alex calculates the average amount of time his classmates spend on homework in a week. Which of these might he have calculated?
- Mean ✓
- Median ✓
- Mode ✓
- Range
- Spread
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- Which average is found by identifying the middle value when the data is arranged in order?
- Mean
- Median ✓
- Mode
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- In a sale, a coat is reduced by 30% and is now selling for £42. What did the coat originally cost?
- '£60' ✓
- A painting was bought for £28 and then later sold for 34% more than it was bought for. What was it sold for?
- '£37.52' ✓
Exit quiz
- The ______ that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
- 'probability' ✓
- To ______ is to find a value that is close enough to the right answer, usually with some thought or calculation involved.
- 'estimate' ✓
- The price of an item of clothing rose from £42 to £48. What is the percentage increase (1 d.p.) in the cost of this item?
- '14.3%' ✓
- The price of an item of clothing fell from £48 to £42. What is the percentage decrease (1 d.p.) in the cost of this item?
- '12.5%' ✓
- In a raffle there is a 1 in 280 chance of winning a prize. What is the probability of winning if you buy one ticket? Give your answer as a percentage to 1 d.p.
- '0.4%' ✓
- In a raffle there is a 1 in 28 000 chance of winning a prize. Jacob thinks you can never win as the probability of winning is 0.0%. What error has Jacob made?
- Jacob is correct - you should never play as the probability of winning is 0.0%
- Jacob is incorrect - the probability of winning is actually 0.00%
- Jacob is incorrect - he has rounded to 1 d.p. so it looks like you can't win. ✓
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Estimation can be used in place of non-specified values.
- Claims should be checked to see whether they make sense.
Common misconception
Taking 20% off an amount after a percentage change will result in the original amount before 20% was added.
These are percentages of different amounts so, given that we are calculating 20% in both cases, this will not work.
Keywords
Probability - The probability that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
Estimate - To estimate is to find a value that is close enough to the right answer, usually with some thought or calculation involved.
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