Year 6 Maths reasoning (SATs): Tables, bar charts and comparisons
Part of the Year 6 Maths reasoning (SATs) statistics and data chapter. Chapter overview · whole chapter on one page
Tables, bar charts and comparisons
Rule
To answer a question from a table or chart, first find the values you need. Then add (for a total) or subtract (for a difference).
Read the labels carefully. Check what the question asks: "how many more" means subtract.
Key ideas
- Read the labels and the values before you calculate.
- Total = add the values. Difference = subtract the smaller from the larger.
- Check the total of all the values before you answer.
| How pupils travel | Number of pupils |
|---|---|
| Bus | 18 |
| Walk | 25 |
| Cycle | 9 |
| Car | 12 |
Method. Read the values from the table, then add them.
- Find the values you need. Read the values for Bus and Walk from the table.18 + 25
- Add them together. Add the values.18 + 25 = 43
- Write the answer. 43
Check. 43 is the sum of the chosen values. ✓
Method. Subtract the smaller value from the larger value.
- Read the two values. Walk has 25 and Car has 12.25 and 12
- Subtract the smaller from the bigger. Find how many more Walk there are than Car.25 - 12 = 13
- Write the answer. 13
Check. 12 + 13 = 25. ✓
Method. The most popular is the biggest value.
- Find the biggest value. The biggest number is 25.25
- Name it. The label next to 25 is Walk.Walk
- Write the answer. Walk
Check. 25 is the largest value. ✓
Watch out
Watch out. "How many more" means subtract. "How many in total" means add.
Exam tip
Practice guide. Copy the values you need into a short list before you calculate.
Exercise 8A Practice: tables and bar charts
Non-calculator| How pupils travel | Number of pupils |
|---|---|
| Bus | 18 |
| Walk | 25 |
| Cycle | 9 |
| Car | 12 |
Method. Read the values from the table, then add them.
- Find the values you need. Read the values for Cycle and Car from the table.9 + 12
- Add them together. Add the values.9 + 12 = 21
- Write the answer. 21
Check. 21 is the sum of the chosen values. ✓
Method. Read the values from the table, then add them.
- Find the values you need. Read the values for Bus and Walk and Cycle from the table.18 + 25 + 9
- Add them together. Add the values.18 + 25 + 9 = 52
- Write the answer. 52
Check. 52 is the sum of the chosen values. ✓
Method. Subtract the smaller value from the larger value.
- Read the two values. Walk has 25 and Cycle has 9.25 and 9
- Subtract the smaller from the bigger. Find how many more Walk there are than Cycle.25 - 9 = 16
- Write the answer. 16
Check. 9 + 16 = 25. ✓
Method. Subtract the smaller value from the larger value.
- Read the two values. Bus has 18 and Car has 12.18 and 12
- Subtract the smaller from the bigger. Find how many more Bus there are than Car.18 - 12 = 6
- Write the answer. 6
Check. 12 + 6 = 18. ✓
Method. Read the values from the table, then add them.
- Find the values you need. Read the values for Bus and Walk and Cycle and Car from the table.18 + 25 + 9 + 12
- Add them together. Add the values.18 + 25 + 9 + 12 = 64
- Write the answer. 64
Check. 64 is the sum of the chosen values. ✓
| Fruit sold | Bags sold |
|---|---|
| Apples | 120 |
| Pears | 85 |
| Plums | 60 |
| Grapes | 95 |
Method. Read the values from the table, then add them.
- Find the values you need. Read the values for Apples and Plums from the table.120 + 60
- Add them together. Add the values.120 + 60 = 180
- Write the answer. 180
Check. 180 is the sum of the chosen values. ✓
| Fruit sold | Bags sold |
|---|---|
| Apples | 120 |
| Pears | 85 |
| Plums | 60 |
| Grapes | 95 |
Method. Subtract the smaller value from the larger value.
- Read the two values. Grapes has 95 and Plums has 60.95 and 60
- Subtract the smaller from the bigger. Find how many more Grapes there are than Plums.95 - 60 = 35
- Write the answer. 35
Check. 60 + 35 = 95. ✓
| Fruit sold | Bags sold |
|---|---|
| Apples | 120 |
| Pears | 85 |
| Plums | 60 |
| Grapes | 95 |
Method. Subtract the smaller value from the larger value.
- Read the two values. Apples has 120 and Pears has 85.120 and 85
- Subtract the smaller from the bigger. Find how many more Apples there are than Pears.120 - 85 = 35
- Write the answer. 35
Check. 85 + 35 = 120. ✓
| Fruit sold | Bags sold |
|---|---|
| Apples | 120 |
| Pears | 85 |
| Plums | 60 |
| Grapes | 95 |
Method. Add the two values.
- Read the values. Apples 120 and pears 85.120 and 85
- Add. 120 + 85 = 205 bags.205
- Write the answer. 205
Check. 205 + 155 = 360. ✓
Method. Test each option.
- Check each option. Test each one against the rule or the calculation.
- Tick the true ones. 25 walk and 9 cycle, and 12 come by car, which is more than 9.More pupils walk than cycle, Car has more pupils than cycle
- Leave the others unticked. These do not match.Bus has the fewest pupils, Walk and bus together have fewer than 40 pupils are not ticked
- Write the answer. More pupils walk than cycle, Car has more pupils than cycle
Check. Each ticked option is true. ✓
Watch out. The bus group has 18 pupils, not the fewest, and walk plus bus is 43, which is more than 40.
Method. Test each choice against the question.
- Read what the question asks. Decide what the answer must do or show.
- Test the choice. Walk has 25, which is the largest value in the chart.Walking is the most common way to travel fits
- Reject the other choices. Nine pupils cycle, so nobody cycling is false. Also 18 by bus is less than 21 by car and cycle together.Nobody cycles to school and More pupils came by bus than by car and cycle together do not fit
- Write the answer. Walking is the most common way to travel
Check. Walking is the most common way to travel is the one that fits. ✓
Method. Add all the values in the table.
- Add. 18 + 25 = 43, 43 + 9 = 52, 52 + 12 = 64.64
- Compare. The total matches the number surveyed.matches
- Write the answer. Add all four values: 18 + 25 + 9 + 12 = 64, which matches the total.
Check. 18 + 25 + 9 + 12 = 64. ✓