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P4 Maths: Bar Charts and Scales (Paper 3: challenge)
Tutor Prep Guide · reading bar charts and pictograms: value of each grid, comparison, totals and difference, and why the vertical axis starts at zero
P4 Maths: Bar Charts and Scales (Paper 3: challenge)
Paper three practises reverse working: from a total or a grid count back to the value of one grid.
Direct answers Reverse questions have one route: find the total grids, then divide the total by it.
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: P4 Maths: Bar Charts and Scales |
| Level | reading bar charts and pictograms: value of each grid, comparison, totals and difference, and why the vertical axis starts at zero |
02 Questions (10 items)
- FoundationIn a bar chart 5 grids stand for 45 people in all. What does one grid stand for?
- IntermediateFour bars are 3, 5, 6 and 2 grids tall and together stand for 96 people. What is one grid worth?
- ChallengeTwo bars come to 84 books; one is 5 grids tall and each grid is 7 books. The other is 7 grids tall. What is it worth?
- ChallengeEach grid stands for 12 people and a bar is 3.5 grids tall. How many people is that?
- FoundationThe vertical axis runs from 0 to 60 divided into 6 equal grids. What is one grid worth?
- IntermediateTwo bars are 8 and 5 grids tall with 6 kg per grid. What is the difference in kilograms?
- ChallengeSix categories come to 210 items and the six bars are equal. How many per category?
- IntermediateOne bar of 4 grids stands for 32 items. In the same chart another bar is 7 grids tall. How many items?
- Error redoA student says a longer bar means each grid stands for more. Is that right?
- FoundationWhat is the job of the title above a chart?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 9 people | 45 divided by 5 is 9 people. |
| 2 | 6 people | The grids add up to 16, and 96 divided by 16 is 6 people. |
| 3 | 49 books | The other bar is 84 minus 35, which is 49, the same as 7 times 7. |
| 4 | 42 people | 3.5 times 12 is 42; half a grid is 6 people. |
| 5 | 10 | 60 divided by 6 is 10 per grid. |
| 6 | 18 kg | They differ by 3 grids, and 3 times 6 is 18 kg. |
| 7 | 35 items | 210 divided by 6 is 35 items. |
| 8 | 56 items | Each grid is 8 items, and 7 times 8 is 56. |
| 9 | No: one grid is worth the same across the chart, and a longer bar just means a larger amount | The value per grid is fixed for the whole chart; a longer bar only means more of that item. |
| 10 | It says what the whole chart is comparing | The title states the subject, for example favourite sports by class. |
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.
Paper four revisits the reading mistakes that come up most often.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.