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Grade 9 Diagnostic Test

Total questions: 20

Worksheet time: 30mins

Name
Class
Date
1.
The ratio 5:15 simplifies to...
a)
1:3
b)
3:1
c)
1:5
d)
3:5
2.
A bag contains marbles: 5 blue and 10 green. How many green marbles are there for every blue marble?
a)
1
b)
2
c)
5
d)
10
3.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
4.

What is a percentage?

a)

its an addition

b)

multiplication of numbers

c)

s a number or ratio expressed as a fraction of 100.

5.
write given percentage as a fraction.
10%
a)
1/100
b)
10/10
c)
10/100
d)
10/1000
6.
Order 5/8, 0.5, 58.3% from greatest to least.
a)
5/8, 0.5, 58.3%
b)
5/8, 58.3%, 0.5
c)
58.3%, 5/8, 0.5
d)
58.3%, 0.5, 5/8
7.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
8.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
9.

 5x6=16-5x-6=-16  

a)

 x=2x=-2  

b)

 x=10x=10  

c)

 x=6x=-6  

d)

 x=2x=2  

10.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
11.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
12.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
13.

What it the measurement for angle 1?

a)

140o

b)

180o

c)

40o

d)

160o

14.

What is the area of the shaded region?

a)

98.7 cm2

b)

119.3 cm2

c)

122.4 cm2

d)

158.5 cm2

15.

If a letter is chosen at random from the word PERSEVERANCE, what is the probability that the letter chosen is E?

a)

1/8

b)

1/3

c)

1/4

d)

1/2

16.

The five grades of a student are: 10 ; 12 ; 13 ; 16 and 19. The average grade is:

a)

13

b)

14

c)

14.5

d)

15

17.

Find the range of the following set of numbers:

3, 5, 7, 9, 11, 8, 3

a)

range=7

b)

range = 11

c)

range = 8

d)

none of the above

18.

Find the volume of the solid.

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

19.

If the diameter of a circle is 50 yards, the radius is _____

a)

100 yards

b)

25 yards

c)

150 yards

d)

15 yards

20.

How would you find the volume of the given shape?

a)

It's not possible

b)

V=πr2hV=\pi\cdot r^2\cdot h

c)

V=AhV=A\cdot h