Read and complete tables

Key idea: A table entry belongs to both its row and its column. Use a known total to find a missing part, then check the other direction.

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Find where the row and column meet

Follow the row and column. Where do they meet?

This table counts club visits, not different pupils. Follow the Drama row to the Afternoon column: 3 visits.

Check your understanding 1

Use the row and column together

ClubMorning visitsAfternoon visits
Chess47
Gardening67
Drama53
Which clubs have the greatest afternoon count?

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6 Gardening visits in the morning. 4 + 7 = 11 Chess visits altogether. Chess and Gardening tie at 7 afternoon visits. These are visits; the table does not tell us the number of different pupils.

Which parts do you know, and which part is missing?

Count each part once

Thirty seeds are planted. Each seed belongs to one of these three groups.

SeedNumber planted
Bean12
Pea?
Sunflower9
Total30

Bean and Sunflower account for 12 + 9 = 21 seeds. The remaining part is Pea: 30 − 21 = 9 seeds.

Check by putting the parts back together: 12 + 9 + 9 = 30. A question mark means not yet known, rather than zero.

Check your understanding 2

Complete a new table

Each filled paint pot has one colour. Find the missing count.

ColourFilled pots
Red9
Blue?
Yellow7
Total24

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Red and Yellow account for 9 + 7 = 16 pots. Blue accounts for 24 − 16 = 8 pots. The check is 9 + 8 + 7 = 24, counting every pot once.

Does your missing number fit both the row and column?

Check your understanding 3

Make every total agree

Each seedling belongs to one team and has one flower colour. Start with a row or column that has just one missing part.

TeamRedWhiteTotal
North5?17
South?9?
Total1821?

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North’s white count: 17 − 5 = 12. Check 12 + 9 = 21 down the White column. South’s red count: 18 − 5 = 13. South’s row total is 13 + 9 = 22.

The whole is 17 + 22 = 39 seedlings, also 18 + 21 = 39. Adding the row totals and column totals would give 78, counting every seedling twice.

Do you have enough information to find just one answer?

Check your understanding 4

Must every blank have a known answer?

DayBooks returned
Monday9
Tuesday?
Total?
What can we say about Tuesday?

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We need more information. Tuesday could be 3 or 8, for example. Both agree with Monday’s 9 when the total is unknown. Use totals to complete a table only when those totals are actually given or can be found from other entries.

For a grown-up

Pip’s synthetic voice uses the University of Edinburgh’s Alba speech dataset, via Piper’s Alba voice, under CC BY 4.0. Audio is optional.

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