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MAT/115 – Basic Mathematics
Final Cumulative Test: Chapters 1-9
01) Evaluate 15  12  2 2  3  12  4  3
= 15 – (12/4)3+(12/4)3 = 15-9+9=15
Answer: 15
02) Find the perimeter of the figure.
Perimeter = 10+5+8 =23
Answer: 23 yd
03) Find the area of the figure.
Area = 6(8)=48
Answer: 48 in2
04) Find the volume of the solid.
Volume = 53 = 125
Answer: 125 ft3
05) Find the prime factorization of the number 117.
Answer: 3213
06) Find the greatest common factor (GCF) of 105 and 147.
105 = 3x5x7, 147=3x72
GCF of 105 and 147 is 3x7=21
07) Change to a mixed number.
59
7
59/7 = 56/7 +3/7 = 8 + 3/7
Answer: 8
3
7
08) Change 3
8
to an improper fraction.
13
= 3+ 8/13 = (39+8)/13 = 47/13
Answer:
47
13
1
3
09) Multiply and write your answer in simplest form. 2  3
4
5
(9/4)(18/5)= 162/20=81/10
Answer: 81/10
3
1
10 Divide and write your answer in simplest form. 5  2
5
10
= (28/5)/(21/10)=28(10)/5(21)= 28(2)/21= 56/21= 8/3
Answer: 8/3
11) Find the least common multiple of 20 and 32.
20 = 22x5, 32=25 LCM of 20 and 32 is 5x25 = 160
1
3
3
12) Add. Write the answer in lowest terms. 3  4  5
2
4
10
7/2 + 19/4 + 53/10 = (70+95+106)/20=271/20
Answer: 271/20
13) Subtract. Write the answer in lowest terms. 6
63/10 – 71/15 = (189-142)/30 = 47/30
Answer: 47/30
14) Subtract. 40  15.625
Answer: 24.375
3
11
4
10
15
15) Divide. 0.066 2.079
Answer 0.031746
16) Write in decimal form.
49
1,000
Answer: 0.049
17) Write the following as a common fraction. Write your answer in lowest terms. 0.072
0.072 =72/1000 = 9/125
Answer: 9/125
18) Find the decimal equivalent of the mixed number. 11
3
4
11 ¾ = 47/4 = 11.75
Answer: 11.75
19) Approximately 3 out of every 10 students at Kendra’s college live on campus. The
college has 5,000 students. How many of them live on campus?
We must find x where 3/10 = x/5000
x = 3(5000)/10 = 1500
Answer: 1500
20) Write the ratio of 75 to 45 as a fraction in lowest terms.
75/45 = 5/3
Answer: 5/3
21) Solve for the unknown.
2 6

x 21
2(21) = 6x then x = 42/6 = 7
Answer: x=7
22) A basketball player scored a total of 115 points in the first five games of the season.
If he continues at the same pace, how many points should he score in the 25-game
season?
The player scored 115/5 = 23 points per game
23(25)=575
Answer: 575
23) Find the unit price for the item: $4.44 for a dozen apples.
Unit price = 4.44/12 = 0.37
Answer: $ 0.37
24) A state sales tax rate is 8%. If you pay a tax of $2.50 on an item that you purchase,
what is its selling price?
We must to find p where p(0.08)=2.5 then p = 2.5/0.08 = 31.25
Answer: $ 31.25
25) Write 40% as a fraction in lowest terms.
0.4=2/5
Answer: 2/5
26) Write
3
as a percent.
8
3/8 = 0.375
Answer: 37.5%
27) 64 is 8% of what number?
We must find x where 0.08x=64
x = 64/0.08 =800
Answer: 800
28) What is 60% of 240?
240(0.6)=144
Answer: 144
29) What percent of 141 is 96?
96/141 = 0.680851
Answer: 68.09 %
30) Find the measure of the missing angle.
180-75-73=32
Answer: 32
31) Which two triangles are similar?
Answer: a) and b)
32) Label the triangle as equilateral, isosceles or scalene.
Answer: scalene
33) Find the missing length of the right triangle.
d2 = 72+242 = 625 then d = 625 = 25
Answer: 25
34) Add and simplify.
Answer: 11 ft 5 in
7 ft 9 in
+ 3 ft 8 in
35) Find the first and third quartiles, Q1 and Q3, of the following set of numbers.
13, 5, 12, 16, 7, 14, 7, 3, 10, 7
Ordered data is: 3,5,7,7,7,10,12,13,14,16
Answer:
Q1 = 7
Q3 = 13
36) Find the mean of the following set of numbers.
12, 16, 19, 22, 28, 30
Mean = (12+16+…..30)/6=127/6=21.167
Answer: 21.167
37) Find the median of the following set of numbers.
52, 25, 55, 51, 67, 59
Ordered data: 25,51,52,55,59,67
Median = (52+55)/2=53.5
Answer: 53.5
38) Find the mode of the following set of numbers.
6, 2, 3, 6, 2, 9, 2, 6, 6
Answer: 6
Use the following to answer Questions #39.
39) What was the decrease in the cost of food from 2002 to 2003?
11000-10500=500
Answer: $ 500
40) Use the graph below, showing the attendance at a circus for seven days in September,
to find the day with the least attendance.
Answer: sept 6
41) The following pie chart shows the budget for a local company. The total budget is
$560,000. Find the amount budgeted in the category of taxes.
560,000(0.15)=84000
Answer: $ 84,000
42) Add. 6   9
= 6-9=-3
Answer: -3
43) Subtract.  9  15
Answer: -24
44) Subtract. 5   4
= 5+4=9
Answer: 9
45) Multiple. 8 5
Answer: -40
46) Multiply.  2 3 4
Answer: -24
47) Divide.
75
3
Answer: -25
48) Divide.
9
0
Answer: undefined
49) Evaluate. 7  18
= |-11|=11
Answer: 11
50) Evaluate. 18   7
= 18 – 7 = 11
Answer: 11