What the graph does not print

Primary 4 Tables and Line Graphs study guide: the whole chapter, step by step

About this subtopic

The idea in brief. A value the graph does not print is not the biggest number on the page and it is not a zero: it is worked out from the numbers that ARE printed and the one relation the question states, on its own line, before it is added, priced or judged.

Lesson video, with the working

Recovering a missing value from a graph or table

5 min 06 s

The film teaches 2 questions in turn. Each question shows first; its working is written as the film explains it.

Watch on its own page

Today's question

The line graph shows the number of visitors to a museum in each year from 2021 to 2024. The point for 2024 is hidden and marked ?. The increase in the number of visitors from 2023 to 2024 was 3 times the increase from 2022 to 2023. How many visitors were there in 2024?

  1. from the graph, there were 1000 visitors in 2021, 1250 in 2022 and 1500 in 2023
  2. 1000 visitors in 2021,
  3. 1250 in 2022
  4. and 1500 in 2023
  5. increase from 2022 to 2023 = 1500 − 1250 = 250
  6. increase from 2023 to 2024 = 3 × 250 = 750
  7. visitors in 2024 = 1500 + 750 = 2250
  8. There were 2250 visitors in 2024.

Ans: 2250

Example 1

The table shows the number of packets of chicken rice a stall sold on each of four days. It sold 86 packets on Thursday, 132 on Saturday and 118 on Sunday. The cell for Friday is marked ?. The stall sold 60 more packets on Friday than on Thursday. Each packet cost $5. How much did the stall collect from the packets sold on Friday and Saturday altogether?

  1. Friday = 86 + 60 = 146
  2. Friday and Saturday = 146 + 132 = 278
  3. amount collected = 278 × 5 = $1390
  4. The amount collected was $1390.

Ans: $1390

How to solve it
  1. Read the scale and the printed points. In 2022 there were 1250 visitors; in 2023 there were 1500.
  2. Find the earlier increase: 1500 minus 1250 is 250. The next increase is 3 times 250, which is 750.
  3. Add this increase to the last known reading: 1500 plus 750 is 2250 visitors in 2024.
  4. For a missing table cell, find its count first. Friday is 86 plus 60, which is 146 packets.
  5. Add the days requested: Friday and Saturday is 146 plus 132, which is 278 packets.
  6. Multiply by the price per packet: 278 times 5 is 1390 dollars.

Find the missing count first. Then use it to answer the question.

Practice questions with worked solutions

Question 1 is free to try. The other 7 open in the free trial, each with its full working.

Intermediate

Challenge

Print this subtopic · included with a plan

7 more questions, each with its full working.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 8 · Intermediate · free to tryThe bar graph shows the number of packets of biscuits a shop sold in each of…The bar graph shows the number…

The bar graph shows the number of packets of biscuits a shop sold in each of four weeks. The bar for Week 3 is not drawn and its place is marked ?. The shop sold 50 more packets in Week 3 than in Week 2. Each packet cost $3. How much money did the shop collect from the packets sold in Weeks 3 and 4?

0255075100125150Number of packets soldWeekWeek 1Week 2Week 3Week 4?0255075100125150Packets soldWeekW1W2W3W4?
$

Show the working and the answer

Video solution · 1 min 49 s

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Working

  1. from the graph, 100 packets were sold in Week 1, 75 in Week 2 and 150 in Week 4
  2. Week 3 = 75 + 50 = 125
  3. Weeks 3 and 4 = 125 + 150 = 275
  4. amount collected = 275 × 3 = $825

Answer: $825

For parents

How can my child work out missing graph values?

A missing graph reading can be found when the question supplies a relationship that fixes its value.

What your child learns here

A missing graph reading can be found when the question supplies a relationship that fixes its value. Your child combines the visible data with a stated total, difference or multiple, rather than estimating the absent reading from its surroundings. This is an application of the MOE Primary 4 outcome on interpreting data. The arithmetic matters, but the first decision is which pieces of information refer to the same quantity.

  • Identify what is missing and read every visible value needed for the stated relationship, using the graph's scale and units.
  • Recover a hidden value by subtracting the known contributions from a total that covers exactly those contributions and the missing one.
  • Use a stated comparison or multiple to connect two readings, writing the meaning of an intermediate answer before using it again.
  • Turn a recovered count into a cost when a price per item is supplied, keeping the number of items separate from the amount of money.
  • Decide whether a statement follows from the supplied data, and recognise when the information does not determine a unique answer.
Does the answer make sense?

When one reading is recovered from a combined total, add it back to all the known readings included in that total. Their sum must reproduce the given total exactly, so a value that merely looks plausible on the graph is not enough.

How to practise these questions

The set has six Intermediate questions and two Challenge questions. They recover missing information from a total, a difference or a multiple, then may ask for a combined count or a cost. Other Intermediate questions use a best-three score requirement or ask whether a statement follows from incomplete data. Challenge questions use equal item counts or a fixed total of drinks to recover a hidden reading. Ask your child to separate a value that can be determined exactly from a condition that allows several possible values. For a hidden graph reading, first write the relationship connecting it to the known readings; for a statement, test whether every permitted value supports the claim. After an attempt, use the written working to trace which relationship determines the unknown reading. The free biscuit-sales question includes written working, which lets you discuss why recovering the missing week's count comes before calculating the money collected.

Questions parents ask

Should my child guess a hidden point from the line beside it? Use the information that determines it. A total or a comparison may fix the hidden reading even when its position cannot be read. If the data do not provide enough information, there may be several possible values; your child should not invent a pattern just to choose one.

Why do some graph questions ask about money? The graph may supply a count, while the question gives a price for each item. Your child first finds the relevant count and then calculates its cost. Labelling those two answers separately helps explain why the first answer has an item unit and the second has a currency unit.

How do I help my child judge a statement about data? Ask which readings would prove or disprove it, then check whether those readings are available. A statement can be contradicted by the data, supported by them, or left undecided. Those are different conclusions, and your child needs to explain the conclusion using the actual information supplied.