1. Pythagoras – Real-Life – Bingo
Students should choose nine answers from the grid and place them
randomly into a 3x3 square in their book.
You may want to pause your display and choose questions
according to difficulty during the game.
Depending on time, students could win with
a line, an X, or a ‘full house’ (all).

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. BINGO! 45 54 23 82 37 12 76 25 91
Real-Life
Pythagoras Problems

4. Choose your numbers… 48 3 33 15 4 27
121 17 37 16 14
119 43 74 12 72
Draw a 3x3 grid in your book.

5. How long is the diagonal?
𝑎2+𝑏2=𝑐2
How long is the diagonal?
54 m
108 m
=𝑐2
𝑐= 𝐴𝑁𝑆 =
121 m
(not to scale)

6. 𝑎2+𝑏2=𝑐2 4.5 m 15 m 152+4.52=𝑐2 𝑐= 𝐴𝑁𝑆 = 16 m How far away is the top
of the tree?
4.5 m
15 m
=𝑐2
𝑐= 𝐴𝑁𝑆 =
16 m
(not to scale)

7. 𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 42 inches 20 inches 622−452=𝑏2 𝑐= 𝐴𝑁𝑆 = 37 inches
How wide is the TV?
𝑏2=𝑐2−𝑎2
42 inches
20 inches
622−452=𝑏2
𝑐= 𝐴𝑁𝑆 =
37 inches
(not to scale)

8. 𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 78 m 26 m 782−262=𝑏2 𝑐= 𝐴𝑁𝑆 = 74 m
How far away is the base
of the lighthouse?
𝑏2=𝑐2−𝑎2
78 m
26 m
782−262=𝑏2
𝑐= 𝐴𝑁𝑆 =
74 m
(not to scale)

9. need to fly in a straight line?
𝑎2+𝑏2=𝑐2
How far does the plane
need to fly in a straight line?
Bringlinghamshire
45 km
18 km
Airport
=𝑐2
𝑐= 𝐴𝑁𝑆 =
48 km
(not to scale)

10. How tall is the mountain?
𝑎2+𝑏2=𝑐2
How tall is the mountain?
𝑏2=𝑐2−𝑎2
18.7 km
14 km
18.72−142=𝑏2
𝑐= 𝐴𝑁𝑆 =
12 km
(not to scale)

11. 𝑎2+𝑏2=𝑐2 3.2 m 1.4 m 1.42+3.22=𝑐2 𝑐= 𝐴𝑁𝑆 = 3 m How long is the ladder?
𝑐= 𝐴𝑁𝑆 =
3 m
(not to scale)

12. 𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 55 m 53 m 2 m 252−232=𝑏2 𝑐= 𝐴𝑁𝑆 = 15 m +2 = 17 m
How high is the kite?
𝑏2=𝑐2−𝑎2
55 m
53 m
2 m
252−232=𝑏2
𝑐= 𝐴𝑁𝑆 =
15 m
+2 = 17 m
(not to scale)

13. 𝑎2+𝑏2=𝑐2 32 m 65 m 652+322=𝑐2 𝑐= 𝐴𝑁𝑆 = 72 m How far away is the top
of the lighthouse?
32 m
65 m
=𝑐2
𝑐= 𝐴𝑁𝑆 =
72 m
(not to scale)

14. 𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 4.5 m 2.2 m 4.52−2.22=𝑏2 𝑐= 𝐴𝑁𝑆 = 4 m
How far up the wall does
the ladder reach?
𝑏2=𝑐2−𝑎2
4.5 m
2.2 m
4.52−2.22=𝑏2
𝑐= 𝐴𝑁𝑆 =
4 m
(not to scale)

15. 𝑎2+𝑏2=𝑐2 5.5 km 14 km 2.52+142=𝑐2 𝑐= 𝐴𝑁𝑆 = 15 km
How far away is the top
of the mountain?
5.5 km
14 km
=𝑐2
𝑐= 𝐴𝑁𝑆 =
15 km
(not to scale)

16. 𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 19 m 2 m 15 m 192−152=𝑏2 𝑐= 𝐴𝑁𝑆 = 12 m + 2 = 14 m
How tall is the tree?
𝑏2=𝑐2−𝑎2
19 m
2 m
15 m
192−152=𝑏2
𝑐= 𝐴𝑁𝑆 =
12 m
+ 2 = 14 m
(not to scale)

17. 𝑎2+𝑏2=𝑐2 22 inches 15 inches 222+152=𝑐2 𝑐= 𝐴𝑁𝑆 = 27 inches
What size is the TV?
22 inches
15 inches
=𝑐2
𝑐= 𝐴𝑁𝑆 =
27 inches
(not to scale)

18. 𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 57 m 132 m 1322−572=𝑏2 𝑐= 𝐴𝑁𝑆 = 119 m
How long is the pitch?
𝑏2=𝑐2−𝑎2
57 m
132 m
1322−572=𝑏2
𝑐= 𝐴𝑁𝑆 =
119 m
(not to scale)

19. 𝑎2+𝑏2=𝑐2 7 m 32 m 322+72=𝑐2 𝑐= 𝐴𝑁𝑆 = 33 m How far away is the kite?
𝑐= 𝐴𝑁𝑆 =
33 m
(not to scale)

20. How far east is Fringley?
𝑎2+𝑏2=𝑐2
How far east is Fringley?
𝑏2=𝑐2−𝑎2
Airport
62 km
45 km
Fringley
622−452=𝑏2
𝑐= 𝐴𝑁𝑆 =
43 km
(not to scale)

22. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
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