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Primary General Studies, Charts and Data Reading, Paper 1: axes, values and trends
Primary General Studies, Charts and Data Reading, Paper 1: axes, values and trends
Ten items on reading bars, a total of 84, a mean of 21, axis starts, 150% growth, a 37.5% fall, a $2,400 slice, line versus bar charts and a 2.0% visual trap.
Focus Read each value against the axis; the four years sum to 84 and average 21; an axis not starting at zero inflates gaps; the growth rate uses the earlier year as denominator, so (30 minus 12) over 12 gives 150%; loans fall by 6 thousand a year, 37.5% in all; 30% of $8,000 is $2,400; line graphs show trends and bars compare categories; 100 against 98 is only 2.0% apart; units decide what numbers mean.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 25 |
| Difficulty mix | Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1 |
| Chapter | Chapter: Primary General Studies: Charts and Data Reading |
| Level | P3 to P6 |
02 Questions (10 items)
- FoundationVisitor arrivals in millions for 2022 to 2025 are 12, 18, 24 and 30. How many in 2025?
- FoundationWhat is the total for the four years?
- FoundationWhat is the average number of arrivals per year over the four years?
- FoundationWhy check whether a bar chart vertical axis starts at zero?
- IntermediateBy what percentage did arrivals grow from 2022 to 2025?
- IntermediateLibrary loans in thousands over four years are 48, 42, 36 and 30. What is the trend and the total fall in percent?
- IntermediateA pie chart shows spending: transport 45%, accommodation 30% and others 25%. With total spending of $8,000, how much goes to accommodation?
- ChallengeWhat do line graphs and bar charts each suit, with one example of each?
- ChallengeOn a chart whose axis starts at 90, A is 100 and B is 98. Someone says A is five times B. What should we say instead?
- Error redoA classmate says a chart title is enough and units do not matter. What is wrong?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 30 million. | Read the value from the bar top against the axis rather than guessing from height. |
| 2 | 12 + 18 + 24 + 30 = 84 million. | A total is the sum of every bar value. |
| 3 | 84 divided by 4 is 21 million. | The mean is the total divided by the number of items. |
| 4 | If it starts above zero the visual gaps are exaggerated, so bars look far apart when the real values are close. | The same numbers can look completely different with another starting point. |
| 5 | (30 minus 12) divided by 12 times 100% is 150%. | The denominator is the earlier year, not the later one. |
| 6 | It drops by 6 thousand each year, and (48 minus 30) divided by 48 gives a 37.5% fall. | A trend has direction and size, and the first year is still the base for the fall. |
| 7 | $8,000 times 30% is $2,400. | Each slice of a pie chart is a share of the whole. |
| 8 | Line graphs suit trends over continuous time, such as average temperature by year; bar charts compare categories, such as the number of libraries in each district. | Ask first whether you are showing change or comparing. |
| 9 | The real gap is 2, about 2.0%, nowhere near five times. | A visual multiple is not a numerical multiple, so divide the real values. |
| 10 | Wrong. Units decide what the numbers mean, so a bar labelled 30 could be 30 people, 30 million or 30 billion. | Read a chart in three steps: title, units, scale. |
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.
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