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Worksheets

N4 Pythagoras

Total questions: 34

Worksheet time: 51mins

Name
Class
Date
1.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
2.

Identify the formula used to solve for the hypotenuse?

a)

a2+b2=c2

b)

a+b=c

c)

a2-b2=c2

d)

c-a=c

3.
Identify the hypotenuse.
a)
x
b)
z
c)
w
4.

Calculate the length of x?

a)

5

b)

7

c)

8

d)

25

5.

Calculate the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

6.
solve for c
a)
7
b)
9
c)
4
d)
13
7.

Calculate the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

8.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

9.

Calculate

a)

4 m

b)

8 m

c)

7.6 m

d)

8.6 m

10.

Calculate

a)

8.6 m

b)

8.9 m

c)

9 m

d)

12 m

11.

Calculate

a)

8.3 km

b)

4 km

c)

3 km

d)

3.2 km

12.

Calculate

a)

10 km

b)

10.6 km

c)

10.4 km

d)

9.3 km

13.

Calculate

a)

5 cm

b)

6 cm

c)

5.5 cm

d)

8 cm

14.

Calculate

a)

6

b)

6.3

c)

7.8

d)

9

15.

Calculate

a)

8.7 m

b)

12.3 m

c)

8.2 m

d)

9 m

16.

Calculate

a)

9 mm

b)

7.8 mm

c)

6 mm

d)

6.7 mm

17.

Calculate

a)

2 km

b)

4 km

c)

2.6 km

d)

6.7 km

18.

Calculate

a)

4.5 m

b)

6 m

c)

9.8 m

d)

4.9 m

19.

Calculate

a)

18.7 m

b)

18 m

c)

22 m

d)

17.6 m

20.

What is the length of the monitor diagonally in two decimal places ?

a)

32.1

b)

32.10

c)

54.75

d)

47.2

21.
a)

36.1

b)

36

c)

38.5

d)

32.1

22.
a)

11

b)

12

c)

9.8

d)

11.5

23.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. How high does the ladder reach up the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

24.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)

53

c)
58
d)

23

25.

What is the square root of 121?

a)

10

b)

13

c)

12

d)

11

26.
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place. 
a)
5.2 m
b)
5.3 m
c)
5.7 m
d)
5.8 m
27.
What is the side from point A to point B called? 
a)
Opposite
b)
Adjacent
c)
Hypotenuse
28.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
29.

Find the length of the side AB.

Round your answer to 3 significant figures.

a)

9.43cm

b)

6.24cm

c)

3.61cm

d)

10.4cm

30.

Find the length of the side AC.

Round your answer to 3 significant figures.

a)

11cm

b)

21.4cm

c)

10.9cm

d)

14.4cm

31.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

32.
a)

4cm

b)

4.5cm

c)

5.8cm

d)

8.5cm

33.
a)

9.1cm

b)

8.9cm

c)

9.8cm

d)

8.1cm

34.
a)

7.2cm

b)

3,8cm

c)

4.5cm

d)

5.4cm

e)

8.3cm