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Grade 8A Pythagoras End of Unit test

Total questions: 20

Worksheet time: 25mins

Name
Class
Date
1.
If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?
a)
9 feet
b)
6 feet
c)
6.7 feet
d)
9.7 feet
2.
Round to the nearest hundredth.
a)
5.57 
b)
10.63
c)
5.32
d)
9
3.
Is this triangle a right triangle?
a)
yes
b)
no
4.

Which of the following are not right angled triangled triangle?

a)

3cm , 4cm , 5cm

b)

18cm, 34cm, 30cm

c)

15cm, 8cm, 17cm

5.

Given that the height of the wall is 2m , then what is the length of the plank that leans against the wall ?

a)

6.8

b)

1.7

c)

2.5

d)

3.9

6.

If the sides of a rectangular plot are 40 m and 9 m, then the length of its diagonal is :

a)

31 m

b)

41 m

c)

45 m

d)

49 m

7.

If the diagonal of a square is 8 cm long, then its perimeter is :

a)

42 cm4\sqrt{2}\ cm

b)

162 cm16\sqrt{2}\ cm

c)

32 cm

d)

64 cm

8.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right-angled triangle

b)

Obtuse-angled triangle

c)

Isosceles triangle

d)

Equilateral triangle

e)

Acute-angled triangle

9.

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

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

10.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

x2+y2=z2x^2+y^2=z^2

b)

x2+z2=y2x^2+z^2=y^2

c)

y2+z2=x2y^2+z^2=x^2

d)

x+z=yx+z=y

11.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
12.

The diagram above shows a square ABCD. CDE is a straight line. The area of ABCD is 36 cm2cm2 . Calculate the perimeter of the whole diagram.

(a)  

13.

In the diagram, PQRT is a rectangle with the perimeter 64 cm. determine whether triangle RST is a right-angled triangle or not?

Write your answer as yes or no.

(a)  

14.

A ladder 10 m long reaches a window 8 m above the

ground. Find the distance of the foot of the ladder

from base of the wall.

a)

6 m

b)

36 m

c)

164\sqrt{164} m

d)

18 m

15.

Which of the following is a right-angled

triangle? (1 marks)

a)
b)
c)
d)
16.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
17.
a)

5

b)

6

c)

10

d)

11

18.
a)

7.5 cm

b)

9 cm

c)

21 cm

d)

27 cm

19.

Note;

 ∠ACD\angle ACD  is a right angle.

a)

32

b)

36

c)

48

d)

72

20.

Which has the longer diagonal, the rectangle or the square?

a)

Rectangle

b)

Square