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Problems with Line Graphs Lesson

This Year 5 Problems with Line Graphs lesson covers the prior learning of comparison, sum and difference, before moving onto the main skill of problems with line graphs.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objective Mathematics Year 5: (5S2)  Solve comparison, sum and difference problems using information presented in a line graph

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Lesson Slides

These lesson slides guide pupils through the prior learning of comparison, sum and difference, before moving onto the main skill of problems with line graphs. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

In this Problems with Line Graphs Video Tutorial, Ivan introduces line graphs and explains when they are useful.

1 Prior Learning

Interactive Activity

This Year 4 Comparison, Sum and Difference Game checks pupils’ understanding of solving addition and subtraction problems using data in pictograms and bar charts.

2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This Year 5 Problems with Line Graphs Game checks pupils’ understanding of reading information from graphs.

2 Reasoning & Problem Solving

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

This problems with line graphs extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the problems with line graphs lesson.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of problems with line graphs.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Maths Challenge Activity

This Year 5 Problems with Line Graphs Maths Challenge is designed to check pupils' understanding of line graphs and their ability to use them to solve worded problems.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Consolidation Pack

This resource is aimed at Year 5 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 3 – Statistics.

Learning Video Clip

Sandy and Coral Shaw have been to the seaside. They look at the amount of seashell bracelets and necklaces they have sold, the profit they have made from this and Sandy’s heart rate as they walked on the beach.

Home Learning Pack

This Autumn week 7 Maths pack contains varied fluency, reasoning and problem solving worksheets.

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Line Graph Worksheets

Line graph worksheets have ample practice skills to analyze, interpret and compare the data from the graphs. Exercises to draw line graphs and double line graphs with a suitable scale; labeling the axes; giving a title for the graph and more are included in these printable worksheets for students of grade 2 through grade 6. Try some of these worksheets for free!

Interpreting Line Graph: Easy

Line graph worksheet pdfs have three interesting scenarios with graphs for 2nd grade and 3rd grade kids. Read the line graph and answer the word problems in each worksheet.

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Interpreting Line Graph: Moderate

Line graphs on different themes are shown in these printable worksheets. Interpret the data from the line graph and answer the questions.

Interpreting Line Graph: Difficult

Line graphs in these 4th grade and 5th grade worksheets represent more than ten data. Read and interpret the graph carefully to answer the questions.

Drawing Line Graph: Easy

In these pdf worksheets, data for which the graph to be represented are given. Read the data, plot points and draw lines to complete the graph.

Drawing Line Graph: Moderate

The number usage (given data) gradually increases in this level. Plot points on the graph to represent the data and join them to make a line graph.

Drawing Line Graph: Difficult

Numerous data are used in these worksheets. Attentively read the data and represent it on the grid to draw the line graph.

Title, Scale, Labeling Axis, and Graphing

Draw a line graph for the represented data. Make an appropriate scale, label the x axis, y axis and write your own title for the graph.

Reading Double Line Graph

In these worksheets two sets of data are compared. Both the data are represented as a double line graph. Read them and answer the questions.

Drawing Double Line Graph

Two sets of data are given. 6th grade students need to analyze the data, make a suitable scale and draw double line graph. Label the axes and give a suitable title for the graph.

Related Worksheets

» Tally Marks

» Bar Graph

» Pie Graph

» Pictograph

» Graphs

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Year 5 reading and interpret line graphs

Subject: Mathematics

Age range: 7-11

Resource type: Unit of work

Last updated

8 February 2021

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This resource has three lessons on reading and interpreting line graphs for year 5. It follows the White Rose guidance and has varied fluency, reasoning and problem solving. These are Active Inspire slides.

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Handling Data KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

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Look at the changes in results on some of the athletics track events at the Olympic Games in 1908 and 1948. Compare the results for 2012.

Line Graphs Practice Questions

Click here for questions, click here for answers, gcse revision cards.

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Line Graph Questions

Line graph questions and answers provided here will definitely help students to grasp the concept more quickly. As we know, line graph is one of the graphical representations that interprets the data very clearly. Several line graph questions appear on almost all board exams. These questions can be used by students to get a rapid overview of the topics and practice them in order to get awareness of the subject. You can also verify your answer with the answer provided on our page. Click here for additional information on the line graph.

Practice the line graph questions and solutions provided below to understand the concept very well.

Line Graph Questions with Solutions

1. Write the advantages of the line graph.

Line graphs are very useful for showing a trend in data over time, and they can also be used for showing changes in two variables at the same time, like weight and height.

2. Give the disadvantage of the line graph.

Line graphs are not as visually appealing as bar graphs. They are also difficult to read and understand, especially when there is a lot of data.

3. What does the slope represent on a line graph?

The slope of a line on a graph is the measure of the steepness or incline of the line. The slope of a line on a graph is measured by looking at the change in y-coordinates over the change in x-coordinates. It can be positive or negative depending on whether the line goes up or down as it moves from left to right.

Slope of a line, m = rise/run = Change in y-coordinates / Change in x-coordinates.

4. How can I read and interpret a line graph?

A line graph is a type of graph that shows the relationship between two numbers. One number is plotted on the x-axis, and the other is plotted on the y-axis. The x-axis represents time, while the y-axis represents a value. The two axes are perpendicular to each other. The values on the graph are connected by a line.

There are three types of lines that can be drawn: positive slope, negative slope, and zero slope (horizontal). A positive slope indicates an increase in one variable with an increase in another variable; a negative slope indicates a decrease in one variable with an increase in another variable, and a zero slope indicates no change over time.

5. Give the comparison between a line graph and a pie chart.

A line graph is a way to display information over time. It can be used to compare changes in different variables, or to show how one variable changes in relation to another.

A pie chart is a circular chart divided into segments that represent the proportion of the whole. Pie charts are often used to illustrate how different categories contribute to a total amount.

6. The following table gives information on the favourite colours by the group of people.

Draw the line graph for the information provided.

To draw the line graph for the information provided, plot the colours on the x-axis and the number of people on the y-axis.

Given Data:

Yellow = 16

Orange = 35

Hence, the line graph for the given information is as follows:

7. The following graph represents the profit percentage earned by 2 companies A and B on their investment. [Hint: Revenue = Investment + Profit]

Go through the line graph and answer the following questions.

(a) In which year, the ratio of investment and profit is maximum for company A?

(b) In which year, the investment is minimum for company B?

(a) It is known that, if the percentage profit is lesser, the ratio of investment and profit will be greater. Thus, from the line graph, it is observed that the ratio of investment and profit will be maximum in the year 2001.

(b) As the graph does not have the data regarding the investment, we cannot determine the answer.

8. Read the line graph carefully and answer the following question:

In which year, the difference between the exports from company X and company Y was minimum?

The following are the differences between the exports from company X and company Y during different years:

In the year 1993, the difference between company X and Company Y is:

= Rs. (80 – 30) crores = Rs. 50 crores.

Similarly, in the year 1994,

= Rs. 60 crores – 40 crores

= Rs. 20 crores.

In the year 1995,

= Rs. (60 – 40) crores

In the year 1996,

= Rs. (70 – 60) crores

= Rs. 10 crores.

In the year 1997,

= Rs. (100 – 80) crores

In the year 1998,

= Rs. (100 – 50) crores

= Rs. 50 crores.

In the year 1999,

= Rs. (140 – 120) crores

Hence, it clearly shows the difference between the exports from company X and company Y was minimum in the year 1996.

9. Read the line graph carefully and answer the following questions:

(a) What was the biggest deviation between the actual and the trend?

(b) How many times has actual production increased by more than 50% compared to the previous year?

(a) From the given line graph, it is observed that the greatest deviation between the actual and the trend was in the year 90 – 91.

In that case, the actual value was 21000 and the trend value was 30000.

Therefore, the deviation of the actual value from the trend value is:

= (- 9000/30000) × 100 = – 30%.

(b) Actual production increased by more than 50% over the previous year between the years 83-84 and 86-87, as seen in the graph. As a result, the answer is two times..

10. The below graph shows the annual profit percentage earned by the company during the years 1995 to 2000.

(a) Find the year where the expenditure is minimum.

(b) what is the average profit earned during the years 1995 to 2000?

(a) Since the line graph only represents the comparison for the profit percentage during the different years, we cannot determine the minimum expenditure. To find the minimum expenditure, more data is required.

(b) The profit percentage gained during different years is:

= (⅙) [40 + 45 + 55 + 60 + 65 + 70]

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Practice Questions

Answer the following questions:

• The table below shows the information on how much sleep Rahul got each night for a week. Draw the line graph based on the given information.
• The table represents Akshay’s weight in kilograms for five months. Draw the line graph for the information provided.
• The given table represents the patient’s body temperature recorded every hour in a hospital. Draw the line graph for the given information:

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Line Graphs Worksheet 4th Grade

Welcome to our Line Graphs Worksheet 4th Grade. Here you will find our range of line graph sheets for 4th graders which will help your child to interpret, analyse, read and plot line graphs.

The line graph sheets on this page are at an intermediate level - for more simple graphs please see below.

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• 4th Grade Line Graph Worksheets - Reading & Interpreting
• Line Graphs 3rd Grade Worksheets - Plotting & Interpreting
• Easier/Harder Line Graph Worksheets
• More related resources

Line Graphs 4th Grade Online Quiz

Line graph worksheets 4th grade.

Fourth graders will be familiar with bar graphs and picture graphs already, and should now be ready to be introduced to simple line graphs.

The vertical scale in most of the sheets on this page goes up in 2s, so the graphs should be fairly straightforward to read.

On this page there are a wide variety of line graphs on a variety of different topics.

Most of the line graphs start at zero on the vertical axis, but some of the graphs start at higher numbers.

There are lots of opportunities on each of the worksheets to interpret the graphs and answer simple questions about the data.

On some of the later sheets, there are opportunities for plotting and drawing part of the graph.

Using these 4th grade line graphs will help your child to:

• read and answer questions about line graphs;
• read and interpret line graphs with a scale going up in 2s;
• plotting and drawing missing parts of a line graph;
• answer questions involving data.

The worksheets have been split up into 2 different sections below.

The first section contains line graph worksheets that focus on interpreting.

The second section involves plotting and drawing parts of the line graph as well as interpreting.

4th Grade Line Graph Worksheets - Reading and Interpreting

• Line Graph Worksheet 4A Temperature
• PDF version
• Line Graph Worksheet 4B Cycle Trip
• Line Graph Worksheet 4C Auto Sales
• Line Graph Worksheet 4D Penguin Survey

4th Grade Line Graph Worksheets - Plotting and Interpreting

• Line Graph Worksheet 4E Sunflowers
• Line Graph Worksheet 4F Rainfall
• Line Graph Worksheet 4G Bird Problems

Looking for something harder?

The line graph worksheets in this section are at a 4th grade level and are more complex than those on this page.

The scales are more complex, and involve more complicated questions and data analysis.

• Line Graphs 5th Grade Worksheets

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Data Analysis Sheets at a 4th Grade level

We have a wide selection of bar graph, venn diagram and other statistics worksheets.

• Line Plots 4th Grade
• Bar Graph Worksheets 4th grade
• Venn Diagram Worksheet 4th Grade

Fourth Grade Math Word Problems

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Using these sheets will help your child to:

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• 4th Grade Math Word Problems
• 4th Grade Measurement Worksheets

Here is our selection of measurement worksheets for 4th graders.

These sheets involve reading scales in both the standard and metric systems.

The scales include finding the length, weight or liquid capacity.

Using these sheets will help your child understand how to:

• read scales in both the standard and metric systems;
• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.

Using these sheets will help children to consolidate their fractions and place value learning.

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your reading and interpreting line graphs at a 4th Grade level.

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