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SATs practice · Year 6Chapter 8 · Statistics and data
Year 6 Maths reasoning (SATs) · Statistics and data · Lesson 8.1

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

8.1

Tables, bar charts and comparisons

Year 6
Solve comparison, sum and difference problems using information in graphs and tables (Year 5-6), Complete, read and interpret tables, including timetables (Year 5)
Practice material. Do this without a calculator. This is practice in the style of the Year 6 maths reasoning test. It is not the official test, and no official test item is used. Marks and timings are a practice guide only.
Story. Year 6 surveyed 64 pupils about how they travel to school. The results are in a table and a bar chart, and the class uses them to answer questions about the totals and the differences.

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 travelNumber of pupils
Bus18
Walk25
Cycle9
Car12
Pupils and how they travel to school.
Worked example 8.1.1
Use the table. What is the total number of pupils in Bus and Walk?

Method. Read the values from the table, then add them.

  1. Find the values you need. Read the values for Bus and Walk from the table.
    18 + 25
  2. Add them together. Add the values.
    18 + 25 = 43
  3. Write the answer.
    43

Check. 43 is the sum of the chosen values. ✓

Worked example 8.1.2
Use the table. How many more pupils are there in Walk than in Car?

Method. Subtract the smaller value from the larger value.

  1. Read the two values. Walk has 25 and Car has 12.
    25 and 12
  2. Subtract the smaller from the bigger. Find how many more Walk there are than Car.
    25 - 12 = 13
  3. Write the answer.
    13

Check. 12 + 13 = 25. ✓

Worked example 8.1.3
Which way of travel is the most popular, according to the table? Write the name.

Method. The most popular is the biggest value.

  1. Find the biggest value. The biggest number is 25.
    25
  2. Name it. The label next to 25 is Walk.
    Walk
  3. 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
1
FUse the table. What is the total number of pupils in Cycle and Car?
How pupils travelNumber of pupils
Bus18
Walk25
Cycle9
Car12
2
FUse the table. What is the total number of pupils in Bus and Walk and Cycle?
18Bus25Walk9Cycle12Carpupils
3
FUse the table. How many more pupils are there in Walk than in Cycle?
18Bus25Walk9Cycle12Carpupils
4
FUse the table. How many more pupils are there in Bus than in Car?
18Bus25Walk9Cycle12Carpupils
5
PSUse the table. What is the total number of pupils in Bus and Walk and Cycle and Car?
6
FUse the table. What is the total number of pupils in Apples and Plums?
Fruit soldBags sold
Apples120
Pears85
Plums60
Grapes95
7
FUse the table. How many more bags are there in Grapes than in Plums?
Fruit soldBags sold
Apples120
Pears85
Plums60
Grapes95
8
PSUse the table. How many more bags are there in Apples than in Pears?
Fruit soldBags sold
Apples120
Pears85
Plums60
Grapes95
9
PSThe shop sold 360 bags of fruit in total, according to the table. How many bags were sold of apples and pears together?
Fruit soldBags sold
Apples120
Pears85
Plums60
Grapes95
10
FTick the statements that are true for the travel table. Options: More pupils walk than cycle | Car has more pupils than cycle | Bus has the fewest pupils | Walk and bus together have fewer than 40 pupils. Write the options you would tick, in the order given.
18Bus25Walk9Cycle12Carpupils
11
RWhich statement from the bar chart is valid? Choose one: Walking is the most common way to travel, Nobody cycles to school or More pupils came by bus than by car and cycle together.
18Bus25Walk9Cycle12Carpupils
12
RThe table says 64 pupils were surveyed. Explain how you would check that the numbers in the table add up to 64.

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