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Pre-test GENED Mathematics

Total questions: 100

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
7x(7-4)÷3
a)
8
b)
6
c)
7
d)
5
2.
What is the reciprocal of 2 ?
a)
2/1
b)
1/2
c)
2
d)
none of the above
3.

Convert the mixed number to an improper fraction.


3 1/2

a)

8/2

b)

31/2

c)

7/2

d)

5/2

4.
What is the least common denominator of 2/6 and 7/8?
a)
36
b)
8
c)
18
d)
24
5.
Marie needs 2 1/4 yards of fabric/ She already has 1 3/8 yards. How many more yards of fabric does she need?
a)
1/8 yard
b)
3/4 yard
c)
7/8 yard
d)
1 7/8 yards
6.

Which of the following is a Quadratic Equation in ONE VAIRABLE?

a)

1x+6x8=0\frac{1}{x}+6x-8=0  

b)

x2y8y=10x^2y-8y=10  

c)

164x216-4x^2  

d)

x3+2x2+4=0x^3+2x^2+4=0  

7.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
8.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
9.

Solve:

a)

3-3

b)

3

c)

13-13

d)

13

10.

Evaluate the following expression using PEMDAS:

a)

0

b)

4

c)

9-9

d)

4-4

11.

Simplify the expression.

a)

36

b)

8

c)

2

d)

24

12.

Simplify the expression.

a)

-18

b)

36

c)

144

d)

72

13.

The distance around the OUTSIDE of an object is called the ________.

a)

area

b)

perimeter

c)

volume

d)

capacity

14.
To find the perimeter of any figure
a)
Add the lengths of all the sides
b)
Multiply the lengths of all the sides
c)
Add 2 sides and multiply it by the rest of the sides. 
d)
Multiply by 4 always.  Always. 
15.
What is the perimeter?
a)
24 cm
b)
35 sq cm
c)
35 cm
16.

The area of area of a square is 25x225x^2 . Find the perimeter.

a)

100x

b)

25x

c)

20x

d)

50x

17.

Area of triangle?

a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
18.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

19.

The definition of circumference is

a)

distance from the center of any point on the circle

b)

distance from one point to another

c)

distance around the circle

d)

distance from the center of any point on the circle

20.
Find the area of the shape.  Round your answer to the nearest tenth if necessary.
a)
21 square ft
b)
30 square ft
c)
15 square ft
d)
12 square ft
21.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
22.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
23.

In the figure below, m<1=(x+22) and m<2=3x. Find the measure of both angles.

a)

m<1=17 degrees, m<2=73 degrees

b)

m<1=61.5 degrees, m<2=118.5 degrees

c)

m<1=51 degrees, m<2=39 degrees

d)

m<1=39 degrees, m<2=51 degrees

24.
The point at which the X and Y axis intersect on the coordinate plane is called _______________.
a)
Graph
b)
Axis
c)
Quadrant
d)
Origin
25.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
26.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
27.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
28.

You know the Area of your rectangular book is 36 inches2 . The base is 9 inches. What is the height?

a)

h = 324 inches

b)

h = 4 inches

c)

h = 27 inches

d)

h = 45 inches

29.
Area?
a)
324 ft squared
b)
324 meters squared
c)
310 ft
d)
310 feet squared
30.
a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

31.

Five more than half a number is six. Find the number.

a)

-2

b)

2

c)

1

d)

-1

32.

Seven less than the quotient of a number and five is two. Find the number.

a)

35

b)

25

c)

45

d)

9

33.

Three fewer than four times a number is five more than twice the number. Find the number.

a)

13-\frac{1}{3}

b)

4

c)

1

d)

2

34.

Jill is thinking of a number. Twenty less than one fourth of the number is  45-45 . Find her number.

a)

Jill's number is 100.

b)

Jill's number is 260.

c)

Jill's number is -260.

d)

Jill's number is -100.

35.

Papa John is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy John?

a)

Jimmy John is 16 years old.

b)

Jimmy John is 17 years old.

c)

Jimmy John is 18 years old.

d)

Jimmy John is 19 years old.

36.

Erin weighs 99 pounds. Her weight is five pounds less than two thirds of her father’s weight. How much does her father weigh?

a)

Erin's father weighs 312 pounds.

b)

Erin's father weighs 141 pounds.

c)

Erin's father weighs 156 pounds.

d)

Erin's father weighs 282 pounds.

37.

Suppose 8x7=10\frac{8-x}{7}=10  . What is the value of x?

a)

-62

b)

-14

c)

14

d)

62

38.

Suppose 2x9=152x-9=-15  . What is the value of x?

a)

-11

b)

-3

c)

3

d)

11

39.

Solve for x.

ax+bc=dax+bc=d  

a)

x=dbcax=\frac{d-bc}{a}  

b)

x=dabcx=\frac{d}{a}-bc  

c)

x=dabcx=\frac{d-a}{bc}  

d)

x=dbcax=\frac{d}{bc}-a  

40.

Solve for x.

xa+b=c\frac{x}{a}+b=c  

a)

x=a(cb)x=a\left(c-b\right)  

b)

x=acbx=ac-b  

c)

x=cbax=\frac{c}{b}-a  

d)

x=cbax=\frac{c}{b-a}  

41.

Which of the following is the equation for the line passing through the points (0,5) and (8,10)?

a)

y=58x+5y=\frac{5}{8}x+5

b)

y=85x+5y=\frac{8}{5}x+5

c)

y=45x+5y=\frac{4}{5}x+5

d)

y=54x+5y=\frac{5}{4}x+5

42.

John's mother age is 5 years more than the three times of John's present age. Find John's present age , if his mother is 44 years old.

a)

1313  

b)

1515  

c)

2929  

d)

3939  

43.

Barry’s age is twice Alex age now. Five times Alex’s age 2 years ago is equal to Barry’s age in 5 years. How old is Alex now?

a)

55

b)

88

c)

1010

d)

1515

44.

Sean is 3 times as old as Jean. 8 years from now, Sean will be twice as old as Jean. How old is Jean?

a)

1616

b)

1414

c)

88

d)

1212

45.
Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?
a)
3 years old
b)
7 years old
c)
57 years old
d)
63 years old
46.
A rectangle's length is equal to eight times its width.  If the area of the rectangle is 392 square inches, what is the width of the rectangle?
a)
7 inches
b)
56 inches
c)
8 inches
d)
49 inches
47.
Kirsten is 4 times Claire's age.  Emily is 6 years older than Claire and 6 years younger than Zack.  If Anna is twice as old as Claire and the total of their ages is 81, how old is Kirsten?
a)
32 years old
b)
16 years old
c)
36 years old
d)
28 years old
48.

How many quarts of a 75% acid solution must be mixed with 3 quarts of a 10% acid solution to make a 60% solution?

a)

15 quarts

b)

10 quarts

c)

9 quarts

d)

5 quarts

49.

How many pounds of nuts costing $2.50 per pound should be mixed with 2 pounds of nuts costing $4.50 per pound to obtain a mixture costing $3.00 per pound?

a)

6 lb

b)

15 lb

c)

2 lb

d)

1.5 lb

50.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
51.
Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?
a)
$120
b)
$144
c)
$1,200
d)
$1,440
52.

You go shopping for a new hoodie. There is one for $39.99 that is 30% off. What would be the cost after the discount?

a)

$11.99

b)

$12

c)

$51.99

d)

$27.99

53.

What is 2/3 of 5/6?

a)

5/9

b)

7/9

c)

9/6

d)

1/6

54.

Your bill at a restaurant is $52.00. You want to leave a 20% tip, so how much should the tip be?

a)

$5.20

b)

$62.40

c)

$10.40

d)

$20.00

55.

Last month you were earning $10.00 per hour at your job. You performed well and received a 5% raise. How much are you now earning?

a)

$0.50

b)

$10.50

c)

$15.00

d)

$10.05

56.

Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly.


If she spent $7,400, how much total will she have paid after 8 years.

a)

$15,415.94

b)

$15,683.28

c)

$15,927.56

d)

$16,109.05

57.

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

58.
The Arnold's took out a loan for $195,000 to purchase a home. At 4.3% interest rate compounded annually, how much will they have paid after 30 years?
a)
$412,749.79
b)
$529.305.61
c)
$689,546.99
d)
$640,891.53
59.
You invested $1,900 at 4% interest compounded annually for 3 years.  How much interest did you earn in 3 years?
a)
$2,372.40
b)
$237.24
c)
$2,137.24
d)
$3,197.60
60.

1.) Express 9:12 as a simple ratio.

a)

4:3

b)

3:4

c)

3:5

d)

4:5

61.

What is N in N:8=15:20 ?

a)

7

b)

4

c)

5

d)

6

62.

Which of these is a true proportion?

a)

6:12=3:6

b)

9:10=16:20

c)

8:5=16:15

d)

18:14=9:6

63.

Paula and Angel gave their mother some roses- 4 white and 9 red roses? What is the ratio of red roses to flowers?

a)

4:9

b)

9:4

c)

9:13

d)

4:13

64.

There are 6 boys for every 8 girls eating in a cafeteria. How many boys are there if there are 24 girls?

a)

16

b)

27

c)

32

d)

18

65.

How far can a car travel in 4 hours if it travels 180 km in 3 hours?

a)

120

b)

135

c)

240

d)

180

66.
A parking lot has 117 spaces total. If 36 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?
a)
117:36
b)
36:117
c)
36:81
d)
81:36
67.
Edward had beaten 24 levels in a video game. If the ratio of levels he had beaten to not beaten was 3 : 1, how many levels does the game have total? 
a)
8
b)
32
c)
25
d)
4
68.
Divide $120 between David and Jack in the ratio 3 : 5.
a)
David gets $55 and Jack gets $65
b)
David gets $35 and Jack gets $85
c)
David gets $50 and Jack gets $75
d)
David gets $45 and Jack gets $75
69.
The ratio of winners to losers in a game is 8 : 5. If 24 people won, how many people would have lost?
a)
3
b)
13
c)
15
d)
24
70.
The ratio of dogs to cats at a pet store is 2 to 3. Which of these shows the possible numbers of dogs and cats in the pet store?
a)
12 dogs, 13 cats
b)
5 dogs, 10 cats
c)
20 dogs, 23 cats
d)
14 dogs, 21 cats
71.
At a school fundraiser for every 3 boxes of chocolate sold you earn 15 points. If you were to sell 7 boxes, how many points would you have earned?
a)
35
b)
33
c)
31
d)
30
72.
A recipe call for 4 teaspoons of seasoning for every 5 teaspoons of cream. If there are 50 more teaspoons of cream than seasoning, how many teaspoons of seasoning will you need?
a)
250
b)
200
c)
40
d)
10
73.
Out of 32 students in a class, 5 said they ride their bikes to school. Based on these results, how many of the 800 students in the school ride their bikes to school?
a)
27 Students
b)
160 Students
c)
125 Students
74.

Which of the following is the common difference of the arithmetic sequence 4, 7, 10, 13, …?

a)

0

b)

1

c)

2

d)

3

75.

The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence.

a)

7

b)

6

c)

5

d)

3

76.

Which term of the arithmetic sequence 5,9,13,17,.....is 401?

a)

99th term

b)

100th term

c)

111th term

d)

112 term

77.

Is the sequence arithmetic: 37, 31, 25, 19, ...?

a)

yes

b)

no

78.

Which of the following is an arithmetic sequence?

a)

2,3,5,8

b)

2,7,12,17

c)

1,1,2,3,5

d)

2,4,8,16

79.

The first three terms of an arithmetic sequence are as follows.


3, -4, -11


Find the next two terms of this sequence

a)

-17 and -25

b)

-18 and -26

c)

-18 and -25

d)

-17 and -26

80.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

81.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

82.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

83.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

84.

Solving for the nth term of geometric sequence, given that a1 = 4 and r= 6, what is the value of the 4th term?

a)

144

b)

864

c)

124

d)

764

85.

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

a)

-2048

b)

-512

c)

-256

d)

-384

86.

Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. Then the total number of persons in the room is

a)

11

b)

12

c)

13

d)

14

87.

A box contains 2 green balls, 3 red balls and a black ball. Three balls are picked at random. In how many ways this can be done if an equal representation is desire?

a)

6

b)

4

c)

3

d)

2

88.

There are 10 balls of different colors. In how many ways can 7 select so as to exclude the white and the black balls?

a)

4

b)

26

c)

56

d)

8

89.

How many ways can a teacher arrange 4 out of 8 children in a row?

a)

1680

b)

1240

c)

7240

d)

2360

e)

1295

90.

The number of ways in which 5 differently colored beads can be arranged in a circle on a table is

a)

24

b)

20

c)

40

d)

42

91.

How many different arrangements can be made by using all the letters of the word “CAJOLE”, where LE always remains together?

a)

40

b)

100

c)

90

d)

240

92.

Number of ways if different color of RAINBOW are arranged so that blue and green are

never together.

a)

2600

b)

3600

c)

4600

d)

None

93.

Xara finds that by wearing different combinations of the jackets, shirts and pairs of trousers that she owns, she can make up 90 different outfits. If she owns 5 jackets and 3 pairs of trouser, how many shirts does she own?

a)

3

b)

6

c)

12

d)

15

94.

How many ways can you answer a 10 question multiple choice quiz if each question has four options?

a)

1,048,576

b)

5040

c)

10,000

d)

210

95.

How many distinguishable 11-letter arrangements can be made from the letters of the word CHATTANOOGA?

a)

24

b)

39,916,800

c)

1,663,200

d)

77

96.

How many ways can five different books be arranged on a bookshelf?

a)

120

b)

3125

c)

60

d)

25

97.
Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4
a)
9
b)
5
c)
3
d)
7
98.
Find the mean:
28, 18, 19, 18, 17
a)
20
b)
18
c)
11
d)
19
99.
What is the mean of these numbers?
4,5,5,2,3,3,2,8
a)
40
b)
24
c)
4
d)
256
100.

What is the mean of the data below?

1 , 5 , 10 , 11 , 20

a)

10

b)

9.4

c)

19

d)

9.1