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In this worksheet, students increase their understanding of Pythagoras' Theorem by picking out the Pythagorean Triads from the given lists.

Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Difficulty level:

### QUESTION 1 of 10

A Pythagorean Triad is a set of three whole numbers a, b and c which fit Pythagoras' Equation

a2 + b2 = c2

You should learn the following list of Pythagorean Triads and their multiples.

 a b c 3 4 5 5 12 13 7 24 25 9 40 41 11 60 61 8 15 17

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

3, 4, 5

4, 5, 6

5, 6, 9

6, 8, 10

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

3, 4, 7

4, 5, 6

6, 8, 10

9, 12, 15

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

5, 12, 13

4, 5, 8

16, 18, 20

8, 12, 15

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

15, 12, 13

7, 24, 25

15, 20, 25

9, 12, 15

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

10, 12, 13

10, 24, 26

15, 20, 24

9, 40, 41

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

10, 12, 15

15, 36, 39

15, 20, 26

30, 40, 50

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

10, 12, 20

150, 360, 390

21, 72, 75

60, 80, 100

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

11, 60, 61

30, 60, 90

42, 144, 150

8, 15, 17

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

16, 30, 34

15, 40, 41

22, 120, 122

8, 12, 15

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

24, 45, 51

24, 32, 40

24, 7, 25

24, 18, 30

• Question 1

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

3, 4, 5
6, 8, 10
• Question 2

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

6, 8, 10
9, 12, 15
• Question 3

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

5, 12, 13
• Question 4

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

7, 24, 25
15, 20, 25
9, 12, 15
• Question 5

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

10, 24, 26
9, 40, 41
• Question 6

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

15, 36, 39
30, 40, 50
• Question 7

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

150, 360, 390
21, 72, 75
60, 80, 100
• Question 8

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

11, 60, 61
42, 144, 150
8, 15, 17
• Question 9

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

16, 30, 34
22, 120, 122
• Question 10

Select all the Pythagorean Triads from the list below.

(Remember to look out for multiples too!)

24, 45, 51
24, 32, 40
24, 7, 25
24, 18, 30
---- OR ----

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