Math Assessment Review
Calculators are not permitted.
Part 1 – Beginner Math
!.
Perform the indicated operations.
a)
2.
b)
3051
- 1123
c)
d) 494 ÷ 19 =
85
x 30
Perform the indicated operations and simplify. Write the results as mixed numbers.
a)
3.
627
+ 780
2
3
8  13 
3
4
5
17  10 =
6
b)
c)
3 5
4  
8 7
5 1
 
9 3
d)
Perform the indicated operations.
a)
16.5
+ 9.4
b)
200.36
-123.22
c)
25.1 × 8.3 =
d)
96.03 ÷ 0.3 =
4.
12 cameras were found to be defective in a shipment of 180. At that rate, how many cameras would you
expect to be defective in a shipment of 405?
5.
If 30 men and women attended a meeting, and 18 were women, what was the ratio of men to women?
Reduce to lowest terms.
6.
The sales tax is $5.12 on a purchase of $64.00. What is the sales tax rate in percent?
Answers:
1.
a) 1407
2.
a)
22 12
3.
a)
25.9
4.
27
5
b)
1928
1
66
b)
b)
77.14
5.
2 to 3
c)
c)
c)
2550
1
38
208.33
6.
d)
8%
26
d)
d)
320.1
2
13
Part 2 – Advanced Math
1.
Evaluate 8c  3d
for c  3 and d  1.5
2.
The sum of the angles in a triangle is _______ degrees.
3.
Multiply:
4.
Solve for x :
5.
Simplify fully:
a)
6.
Calculate:
a)
4 + 12 ÷ 6 × 5 − 11 =
7.
Calculate:
a)
33
8.
Choose a number at random from 1 to 5. What is the probability of choosing the number 3?
9.
What is the exact length of the hypotenuse of a triangle with sides equal to 2 cm and 3 cm?
10.
The answer to question 9 is an example of which type of number? a) rational b ) irrational c) natural
11.
What is the area of a rectangle with length = 8 cm and width = 5 cm?
12.
Solve the proportion.
7(𝑥 − 5)
a)
10 = 𝑥 − 9
a)
(𝑥 + 4)(3𝑥 + 2)
b)
b)
4
9
=
b)
−11 + 3
b)
3𝑥 = 𝑥 + 6
𝑚 + 𝑛 − 3(𝑚 − 𝑛)
c)
(7 − 3) × 2 + 4 =
c)
5𝑥 + 2 = 7
c)
b) 5𝑎 − (2𝑎 + 4)
6𝑥 − 2𝑦 + 3𝑥 − 𝑦
−2(𝑎 − 3𝑏 + 7𝑐)
c)
c)
8 ÷ 4 − 0 + 17 =
−7 − 13
𝑥
18
Answers:
1.
19.5
2.
180
3.
a)
7𝑥 − 35
b)
3𝑥 2 + 14𝑥 + 8
c)
−2𝑎 + 6𝑏 − 14𝑐
4.
a)
𝑥 = 19
b)
𝑥=3
c)
𝑥=1
5.
a)
9𝑥 − 3𝑦
b)
3𝑎 − 4
c)
6.
a)
3
b)
12
c)
7.
a)
27
8.
1 out of 5
9.
√13
10.
b) irrational
b)
11.
−8
40 square cm
c)
12.
−2𝑚 + 4𝑛
19
−20
𝑥=8