Two-way tables

The Maths Habit

How could you sort these 20 shapes?

By shape: 10 circles, 10 squares. By colour: 9 pink, 11 white. Or both at once.

Two-way table: A table that sorts things in two ways at once.

Row: A line of the table that goes across.

Column: A line of the table that goes down.

Total: All of them added together.

What is the missing number?

16+4=10

27+8=15

313+17=30

How many white squares?

	Pink	White	Total
Circles	6	4	10
Squares		7
Total		11	20

1Find a row or column with one gap.The White column has one gap.
2Make it add up to the total.4 + ? = 11, so 11 − 4 = 7

What number goes in the box?

	Walk	Bus	Total
Boys	8	15	23
Girls		10
Total		25	45

1Find a row or column with one gap.

2Make it add up to the total.

25−15=10

What number goes in the box?

	Hot	Cold	Total
Year 9		9	20
Year 10	13	12
Total		21	45

1Find a row or column with one gap.

2Make it add up to the total.

21−9=12

What number goes in the box?

	Walk	Bus	Total
Boys	8	15	23
Girls		10
Total		25	45

1Find a row or column with one gap.

2Make it add up to the total.

25−15=10

What number goes in the box?

	Tea	Juice	Total
Adults	14	7	21
Children		16
Total		23	46

1Find a row or column with one gap.

2Make it add up to the total.

21−7=14

1Find a row or column with one gap.2Make it add up to the total.

What number goes in the box?

	Walk	Bus	Total
Boys	8	15	23
Girls		10
Total		25	45

1Find a row or column with one gap.

2Make it add up to the total.

25−15=10

What number goes in the box?

	Male	Female	Total
Dogs	16	9	25
Cats	12
Total	28		50

1Find a row or column with one gap.

2Make it add up to the total.

28−16=12

1Find a row or column with one gap.2Make it add up to the total.

What number goes in the box?

	Walk	Bus	Total
Boys	8	15	23
Girls		10
Total		25	45

1Find a row or column with one gap.

2Make it add up to the total.

25−15=10

What number goes in the box?

	Card	Cash	Total
Online		8
In shop	31	5
Total	57	13	70

1Find a row or column with one gap.

2Make it add up to the total.

13−5=8

1Find a row or column with one gap.2Make it add up to the total.

What number goes in each box?

1Men or women: swim or gym?

	Swim	Gym	Total
Men	7
Women	15	9	24
Total	22		49

1Find a row or column
with one gap.

2Make it add up
to the total.

24−15=9

2Year 7 or Year 8: art or music?

	Art	Music	Total
Year 7	12	13
Year 8	14	11
Total	26		50

1Find a row or column
with one gap.

2Make it add up
to the total.

26−14=12

3Juniors or seniors: won or lost?

	Won	Lost	Total
Juniors	23	19	42
Seniors	18
Total	41		85

1Find a row or column
with one gap.

2Make it add up
to the total.

42−23=19

1Find a row or column with one gap.2Make it add up to the total.

How many white squares?

	Pink	White	Total
Circles	6	14	10
Squares	23	47	310
Total	9	511	20

1Find a row or column with one gap.Not the Squares row: it has two gaps.
2Make it add up to the total.Total? Add. Not a total? Take away.
3Do the next gap.Every row and column adds up. Then answer the question.

How many girls take the bus?

	Walk	Bus	Total
Boys	12	18	20
Girls	215	410	325
Total	27	518	45

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer10

How many children chose tea?

	Tea	Juice	Total
Adults	16	112	28
Children	39	213	22
Total	425	25	550

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer9

How many girls take the bus?

	Walk	Bus	Total
Boys	12	18	20
Girls	215	410	325
Total	27	518	45

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer10

How many Year 8 chose drama?

	Chess	Drama	Total
Year 7	14	111	25
Year 8	213	321	34
Total	27	432	559

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer21

1Find a row or column with one gap.2Make it add up to the total.3Do the next gap.

How many girls take the bus?

	Walk	Bus	Total
Boys	12	18	20
Girls	215	410	325
Total	27	518	45

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer10

How many children took the train?

	Bus	Train	Total
Adults	131	17	48
Children	222	410	332
Total	53	527	80

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer10

1Find a row or column with one gap.2Make it add up to the total.3Do the next gap.

How many girls take the bus?

	Walk	Bus	Total
Boys	12	18	20
Girls	215	410	325
Total	27	518	45

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer10

How many child tickets were sold by phone?

	Adult	Child	Total
Online	24	115	39
Phone	418	223	341
Total	542	38	80

1Find a row or column with one gap.

2Make it add up to the total.

3Do the next gap.Answer23

1Find a row or column with one gap.2Make it add up to the total.3Do the next gap.

Complete each table. Then answer the question.

1How many girls chose pasta?

	Pizza	Pasta	Total
Boys	13	17	20
Girls	211	49	320
Total	24	516	40

1Find a row or column
with one gap.

2Make it add up
to the total.

3Do the next gap.

Answer9

2How many men chose tea?

	Tea	Coffee	Total
Men	215	24	139
Women	318	413	31
Total	33	537	70

1Find a row or column
with one gap.

2Make it add up
to the total.

3Do the next gap.

Answer15

3How many Year 10 came by car?

	Bus	Car	Total
Year 9	27	216	143
Year 10	419	328	47
Total	546	44	90

1Find a row or column
with one gap.

2Make it add up
to the total.

3Do the next gap.

Answer28

1Find a row or column with one gap.2Make it add up to the total.3Do the next gap.

Does every row and column add up? Thumbs up or thumbs down.

A

	Walk	Bus	Total
Boys	12	8	20
Girls	9	11	20
Total	21	19	40

Right

B

	Tea	Juice	Total
Adults	15	6	21
Children	7	12	20
Total	22	18	40

Wrong:
20 should be 19

C

	Art	Music	Total
Year 7	13	14	27
Year 8	16	7	23
Total	29	21	50

Right

D

	Swim	Gym	Total
Men	9	17	26
Women	14	8	22
Total	23	24	48

Wrong:
24 should be 25

Answer sheet

40 people are at a gym. 25 are women. 12 of the women swim. 18 people swim altogether. Draw a two-way table. How many men do not swim?
9
One of the 40 people at the gym is picked at random. What is the probability it is a woman who swims?
1240
Make up your own two-way table with a total of 30. Give it to a partner with four gaps.
Many answers: check every row and column adds up

Complete the table. How many girls take the bus?
12
Complete the table. How many adults chose tea?
14
Complete the table. How many Year 8 chose run?
16

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