wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Проф. ин. яз. 40-139

Total questions: 100

Worksheet time: 25hrs 0mins

Name
Class
Date
1.

What _______ the weather like when you were there?

a)

do

b)

is

c)

does

d)

was

e)

were

2.

You have ten of these on your feet. ________

a)

lips

b)

toes

c)

eyes

d)

hands

e)

legs

3.

A student was given a piece of rope and told to cut it into two equal pieces, keep one piece, and

pass the other piece to the next student. Each student was to repeat this process until every

student in the class had exactly one piece of rope. Which of the following could be the fraction

of the original rope that one of the students had?

a)

an element of M={1/20, 2/25, 1/16}

b)

a mixed fraction

c)

a negative number

d)

an element of M={1/24, 2/15, 1/8}

e)

an integer number

4.

Find the root(s) of the equation

a)

5

b)

negative number

c)

11

d)

4

e)

base of a power 3^2

5.

Determine k so that the system has more then one solution.

a)

k is not equal to 5

b)

k is an even number

c)

k is equal to 3

d)

k is value of a root

81

e)

k is equal to 5

6.

For the matrix, find the cofactor of the entry a33

a)

2

b)

a negative number

c)

square root of 25

d)

3

e)

the product of two numbers 1.5 and 3

7.

Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?

a)

infinity

b)

3 squared

c)

odd number

d)

the value of a logarithm

log 2 16

e)

square root of 100

8.

The graph above shows the number of George’s unsold candy bars over a 10-day period. The points on the graph all lie on which of the following lines?

a)

y=120-12x

b)

y=120-10x

c)

y-14x=112

d)

y-12x+120=0

e)

y=14x-112

9.

Find the equation of the straight line that passes through points (-1,1) and (0,1) .

a)

y - 4x = 0

b)

y = x

c)

y + 4x - 3 = 0

d)

y - 1 = 0

e)

y - 2x = 0

10.

Determine k so that the system has more the one solution.

a)

k equals 3

b)

k is not equal to 3

c)

k is not equal to 2

d)

k equals 2

e)

k is value of a root

sqrt (25)

11.

In how many points do the graphs of the equations x^2 + y^2 = 25 and y^2 = 4x intersect?

a)

the sum of two numbers 1 and 1

b)

a mixed number

c)

a negative number

d)

the base of a logarithm

log5 8

e)

radicand of a root

sqrt (7)

12.

The expression 4x^2 - 2x + 3 is equal to 3 when x = 0 and when x =

a)

one fourth

b)

3/4

c)

1/3

d)

-1/5

e)

a half

13.

Which of the following has the greatest value when x= -14?

a)

x^-1

b)

1/81^x

c)

4x + 3

d)

16^x

e)

-3/8x

14.

In the diagram above, lines M and N are parallel. All of the following are true EXCEPT

a)

d+e=f+j

b)

g=h

c)

c+f=f+b

d)

g+e+f+h=360

e)

a+b=j+l

15.

If x not equals 0 and y not equals 0,

a)

(x/y)+y

b)

(x/y)-y

c)

(x/y)+x

d)

x/y

e)

(2x/y)+4

16.

The scatterplot above shows the speeds of different runners over time. Which of the following

could be the equation of the line of best fit?

a)

s=2(t-15)

b)

s-2(t+15)=0

c)

s= - 2(t-30)

d)

s= - 2t

e)

s= - 2t+30

17.

Find the equation of the straight line that passes through the origin and is parallel to the straight line y = 4x + 3

a)

y = x - 2

b)

y = 3x

c)

y = 4x + 1

d)

y - 4x = 0

e)

y = 2x + 4

18.

Find the equation of the straight line that passes through the origin and is parallel to the straight line

a)

y = 4x + 2

b)

y - (x/2) = 0

c)

y - 4x = 0

d)

y = x

e)

y = 4x

19.

Let A = {1, 2, 3, 4} and B = {1, 3, 4}. What is В\A?

a)

{4}

b)

compact set

c)

empty set

d)

{2}

e)

proper set

20.

How many elements are there in set of the letters in the word KAZAKHSTAN?

a)

10

b)

ten

c)

7

d)

9

e)

8

21.

Which of the following is an irrational number?

a)

(sqrt(32))^3

b)

-(sqrt(3)sqrt(3))

c)

sqrt(4/9)

d)

sqrt(2)sqrt(72)

e)

4^-3

22.

a)

4

b)

5(5/3)

c)

16/3

d)

4 - 4pi

e)

16pi

23.

Which of the following expressions is undefined when x=-2?

a)

(2x + 2)/x - 8

b)

(x^2 + 2x + 2)/(x^2 + 6x + 8)

c)

y = (x + 2)/(x - 2)

d)

y = (x^2 +4x + 4)/x

e)

y = (2x + 4)/(x^2 + 4x + 4)

24.

If graphed, which of the following pairs of equations would be parallel to each other?

a)

y = 3x + 3, y = -13x - 3

b)

y = 2x + 4, y = x + 4

c)

y = -6x + 6, y = 6x - 6

d)

y = 2x + 4, y = -x -10

e)

y = -x + 4, y = -x - 10

25.

If a/(b-4) = (4b/a) + 1, then when a=8, b could be equal to

a)

-5

b)

infinity

c)

6

d)

a mixed fraction

e)

value of a root

sqrt(25)

26.

The average of five consecutive odd integers is –21. What is the least of these integers?

a)

cube root of 8

b)

-25

c)

index of a root

sqrt(25)

d)

a positive number

e)

the base of a logarithm

log2 8

27.

Line AC is a diagonal of square ABCD. What is the sine of angle ACB?

a)

5(5/3)

b)

sqrt(3)/2

c)

1/2

d)

sqrt(2)/2

e)

sqrt(2)

28.

is equivalent to

a)

(b + a^2 - b^2)/a^2

b)

(b - 1)/a^2

c)

b/a^2

d)

(b-a^2)/ab

e)

(b/a^2) - 1

29.

Express the infinite decimal .212121... as a common fraction.

a)

4\33

b)

5\24

c)

24\35

d)

14\12

e)

7\33

30.

All of the following are less than 2/5 EXCEPT

a)

3/8

b)

1/5

c)

3/7

d)

0.04

e)

0.0404

31.

If 3x-y=2 and 2y-3x=8, which of the following is equal to x/y ?

a)

an element of M={1, 2/5, 9/12, 5}

b)

a negative number

c)

base of a power 8^2

d)

value of a root sqrt(4/8)

e)

an improper fraction

32.

Which of the following sets of numbers contains all and only the roots of the equation f(x) = x^3 + 7x^2 - 8x

a)

{0, 2, -1}

b)

{0, -8, 1}

c)

{-1, 8, 1}

d)

{0, -1}

e)

{-1, 8, 0}

33.

An empty crate weighs 8.16 kg and an orange weighs 220 g. If Jon can lift 11,000 g, how many

oranges can he pack in the crate before lifting it onto his truck?

a)

twenty

b)

thirty

c)

fifty

d)

twelve

e)

one hundred and twenty

34.

A box contains five blue pens, three black pens, and two red pens. If every time a pen is selected,

it is removed from the box, what is the probability of selecting a black pen followed by a blue

pen?

a)

9/42

b)

a negative number

c)

1/6

d)

the sum of two fractions 2/7and 5/6

e)

cube root of 1/8

35.

Let A is a set. Which statement is always true?

a)

b)

c)

d)

e)

36.

Let A = {1, 2, {3}}. Which of the following is false?

a)

b)

c)

d)

e)

37.

The statement “Raphael runs every Sunday” is always true. Which of the following statements is

also true?

a)

If Raphael does not run, then it is not Sunday

b)

If it is Sunday, then Raphael does not run

c)

If it is Sunday, it is impossible to determine if Raphael runs

d)

If Raphael runs, then it is Sunday

e)

If it is not Sunday, then Raphael does not run

38.

It takes eight people 12 hours to clean an office. How long would it take six people to clean the

office?

a)

2 hours

b)

10 hours

c)

16 hours

d)

4 hours

e)

15 hours

39.

Greg has nine paintings. The Hickory Museum has enough space to display three of them. From

how many different sets of three paintings does Greg have to choose?

a)

the product of two numbers 12 and 7

b)

value of a root

sqrt(25)

c)

the sum of two unlike fractions 1\7 and 2\5

d)

the value of a logarithm

log2 8

e)

the product of two numbers 12 and 10

40.

Given the following figure with one tangent and one secant drawn to the circle, what is the

measure of angle ADB?

a)

45 degrees

b)

50 degrees

c)

110 degrees

d)

25 degrees

e)

60 degrees

41.

Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost

is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon. If

Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at

a time rather than ten balloons at a time?

a)

$300

b)

$300

c)

$600

d)

$800

e)

$200

42.

If ab/c = d and a and c are doubled, what happens to the value of d?

a)

The value of d remains the same

b)

The value of d is four times smaller

c)

The value of d is doubled

d)

The value of d is halved

e)

The value of d is four times greater

43.

In the diagram above, line OA is congruent to line OB. What is the measure of arc CD?

a)

75 degrees

b)

55 degrees

c)

60 degrees

d)

45 degrees

e)

70 degrees

44.

The volume of a glass of water placed in the sun decreases by 20%. If there are 240 mL of water

in the glass now, what was the original volume of water in the glass?

a)

200 mL

b)

260 mL

c)

288 mL

d)

300 mL

e)

360 mL

45.

How does the area of a rectangle change if both the base and the height of the original rectangle

are tripled?

a)

The area cannot be determined

b)

The area is six times larger

c)

The area is tripled

d)

The area remains the same

e)

The area is nine times larger

46.

In the diagram above, angle A is congruent to angle BED, and angle C is congruent to angle D. If

the ratio of the length of AB to the length of EB is 5:1, and the area of triangle BED=5a^2 + 10, what is area of triangle ABC?

a)

125sqrt(a^4) + 250

b)

5a^2 + 10

c)

25a^2 + 50

d)

25a^2 + 100

e)

3a^2 - 45

47.

The number p is greater than 0, a multiple of 6, and a factor of 180. How many possibilities are

there for the value of p?

a)

6

b)

a negative number

c)

the sum of two fractions 1\3 and 2\5

d)

8

e)

base of a power 7^2

48.

What is the slope of the line -3y=12x-3?

a)

4

b)

-3

c)

1

d)

-4

e)

12

49.

A spinner is divided into eight equal regions, labeled one through eight. If Jenna spins the wheel,

what is the probability that she will spin a number that is less than four and greater than two?

a)

1/8

b)

a proper fraction

c)

an improper fraction

d)

1/3

e)

1/6

50.

The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160pi cubic units. If the radius of the cylinder is 4 units, what is the surface area of the cube?

a)

100square units

b)

150square units

c)

160square units

d)

125square units

e)

120square units

51.

Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds,

6.3 seconds, and 5.3 seconds. If she runs a sixth dash, which of the following would change the

mean and mode of her scores, but not the median?

a)

6.3 seconds

b)

5.4 seconds

c)

5.5 seconds

d)

5.3 seconds

e)

5.6 seconds

52.

A music store offers customized guitars. A buyer has four choices for the neck of the guitar, two

choices for the body of the guitar, and six choices for the color of the guitar. The music store

offers

a)

16 different guitars

b)

24 different guitars

c)

48 different guitars

d)

34 different guitars

e)

36 different guitars

53.

Which of the following is the set of positive factors of 12 that are not multiples of 2?

a)

{1, 3}

b)

{2,4,5,12}

c)

{4,6,12,15}

d)

{1,3,5}

e)

{3,7}

54.
a)

{b}

b)

{3}

c)

{3, b}

d)

{d}

e)

{a, b}

55.
a)

{1, 2}

b)

{a, b, с, d}

c)

empty set

d)

{1, 2, 4, 5}

e)

{1, 2, a, b, c, d}

56.

In a class of 25 boys, 17 boys play football, 12 boys play basketball and 5 boys play both games.

How many boys don't play any game?

a)

5

b)

4

c)

3

d)

3

e)

1

57.

A survey of 50 students in a college showed the following: 23 students take Maths, 25 take

English, 26 take Physics, 11 take Maths and English, 13 take Maths and Physics, 9 take English

and Physics, and 2 take Maths and English and Physics. How many students don't take any of the

subjects?

a)

9

b)

6

c)

7

d)

8

e)

5

58.

a)

36

b)

49

c)

24

d)

64

e)

81

59.

Put the verbs into present progressive.

My sister (to clean) ____________ the bathroom

a)

am cleaning

b)

is cleaning

c)

have cleaning

d)

are cleaning

e)

cleaning

60.

Put the verbs into present progressive.

Look! They (to go) ____________ inside

a)

am going

b)

is going

c)

have going

d)

are going

e)

going

61.

Choose the correct present progressive form.

She _____________ the piano.

a)

are playing

b)

am playing

c)

playing

d)

is playing

e)

is play

62.

If this page was folded along the dotted line in the figure above, the left half of the

letter W would exactly coincide with the right half of W.

Which of the following letters, as shown, CANNOT be folded along a vertical line

so that its left half would coincide with its right half?

a)

A

b)

I

c)

O

d)

U

e)

E

63.

If a positive integer n is picked at random from the positive integers less than or

equal to 10, what is the probability that 5n + 3 ≤ 14

a)

4/9

b)

1/6

c)

the sum of two fractions 1/3 and 1/4

d)

one fifth

e)

a quotient of two fractions 1/5 and 1/6

64.

Find ... in base 10.

a)

65

b)

radicand of a root

sqrt(57)

c)

value of a power 45^2

d)

index of a root

sqrt(57)

e)

54

65.

If we multiply a number by 2 and add 8, the result is 32. Find the number.

a)

10

b)

radicand of a root

c)

index of a root

sqrt(12)

d)

16

e)

18

66.

Evaluate the determinant of the matrix

a)

4 squared

b)

3 squared

c)

2 cubed

d)

value of a root

sqrt(4)

e)

the base of a logarithm

log3 8

67.

In the sequence above, the first term is 4 and each term after the first is 7 more than

the previous term. What is the 12th term of the sequence?

a)

3 cubed

b)

a negative number

c)

the base of a logarithm

log2 8

d)

index of a root

sqrt(25)

e)

9 squared

68.

Evaluate the determinant of the matrix

a)

5

b)

negative number

c)

value of a root

sqrt(36)

d)

3 squared

e)

E) the base of a logarithm

log2 8

69.

Evaluate the determinant of the matrix

a)

2

b)

1

c)

0

d)

3

e)

4

70.

If (x - 2)^2 = 9, then x could be

a)

the value of a logarithm

log2 8

b)

mix fraction

c)

square root of 25

d)

radicand of a root

sqrt(25)

e)

2 cubed

71.

Each of the following is equivalent to (a/b)(bc+k) EXCEPT

a)

ck/b

b)

((ac+ak)/b)

c)

a(c + (k/b)

d)

ac/b

e)

(ac/b) - (ak/b)

72.

On Wednesday Heather ran 3 miles in 30 minutes. If she ran for 45 minutes at this

rate on Thursday, how far did Heather run on Thursday?

a)

2.5 miles

b)

3.5 miles

c)

5.5 miles

d)

4.5 miles

e)

6.5 miles

73.

In the figure above, CDE is an equilateral triangle and ABCE is a square with an

area of 1. What is the perimeter of polygon CDE?

a)

radicand of a root

sqrt(25)

b)

a proper fraction

c)

six

d)

five

e)

nought

74.

On the number line above, the tick marks are equally spaced and their coordinates

are shown. Of these coordinates, which has the smallest positive value?

a)

b

b)

c

c)

e

d)

a

e)

d

75.

10, 18, 4, 15, 3, 21, x.

If x is the median of the 7 numbers listed above, which of the following could be the value of x?

a)

square root of 144

b)

square root of 196

c)

mix fraction

d)

negative number

e)

the product of two fractions 4/9 and 3/8

76.

If p and n are integers such that p>n>0 and p^2 – n^2 = 12, which of the following can be the value of (p-n)?

I. 1

II. 2

III. 4

a)

II only

b)

I, II, and III

c)

I only

d)

I and II only

e)

II and III only

77.

In the figure above, AB, CD and EF intersect at P. If r=90, s=50, t=60, u=45 and w=50 what is the value of x?

a)

75

b)

(pi/2) + 25

c)

pi + 115

d)

pi - 115

e)

pi

78.

Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g(x)>f(x)?

a)

-6<x<-3 only

b)

0<x<3 only

c)

-3<x<0 only

d)

3<x<6 only

e)

-6<x<-3 and 0<x<3

79.

Two spheres, one with radius 7 and one with radius 4, are tangent to each other. If

P is any point on one sphere and Q is any point on the other sphere, what is the

maximum possible length of PQ?

a)

the product of two numbers 2 and 11

b)

index of a root

sqrt(25)

c)

4 squared

d)

value of a root

sqrt(25)

e)

2 cubed

80.

A man can do a job in h hours alone and his son can do it in 2h hours alone.

Together, how many hours will it take them to do the job?

a)

h-6

b)

3h\4

c)

h\5

d)

1.5 h

e)

2h\3

81.

A dormitory now houses 30 men and allows 42 square feet of space per man. If

five more men are put into this dormitory, how much less space will each man

have?

a)

5 squared

b)

4 squared

c)

6 squared

d)

3\2 squared

e)

8 squared

82.

Rob has six songs on his portable music player. How many different four-song

orderings can Rob create?

a)

60

b)

150

c)

360

d)

30

e)

250

83.

In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH. What is the length of line AB?

a)

5 sqrt(3)

b)

square root of 25

c)

radicand of a root sqrt(25)

d)

infinity

e)

power exponent of 5^2

84.

The expression ... is equivalent to

a)

x/(x+7)

b)

(x/(x+7)) + (1/(x-5))

c)

(x-10)/(x+7)

d)

5/(x+7)

e)

(x+5)/(x+7)

85.

The point (2.1) is the midpoint of a line with endpoints at (–5,3) and

a)

(-3,4)

b)

(9,-1)

c)

(-3, 2)

d)

(-8,-2)

e)

(-10,3)

86.

If the surface area of a cube is 384 cm, what is the volume of the cube?

a)

597 cm

b)

425 cm

c)

512 cm

d)

908 cm

e)

689 cm

87.

The expression ... is equivalent to

a)

sqrt(2)

b)

2x sqrt(2)

c)

sqrt(2x)/sqrt(x)

d)

4 sqrt(2x)

e)

(2x sqrt(2))/sqrt(x)

88.

The fraction is equal to

a)

(2 - sqrt(2))/2

b)

sqrt(6) - 2

c)

(sqrt(6) - sqrt(3))/2

d)

(sqrt(6) - 2)/2

e)

(sqrt(6) - 2)/2

89.

What is the tenth term of the pattern below? 2/3, 4/9, 8/27, 16/81, ...

a)

2^10/3

b)

(2/3)^10

c)

(2)^10

d)

2/3

e)

(2/3)^(2/3)

90.

If g>0 and h<0, which of the following is always positive?

a)

(g-h)\2

b)

|g|-|h|

c)

g+h

d)

gh

e)

g:h

91.

When x = -3, the expression -2x^2 + 3x - 7 =

a)

-49

b)

-34

c)

(2/3)^10

d)

28

e)

14

92.

Which of the following could be the equation of the parabola shown above?

a)

y=(x-4)^2 - 5

b)

y=(x+3)2+2

c)

y=(x-3)^2 + 2

d)

y=x^2 - 6x + 7

e)

y=(x-2)^2 - 3

93.

A store prices a coat at $85. During a sale, the coat is sold at 20% off. After the

sale, the store raises the price of the coat 10% over its sale price. What is the price

of the coat now?

a)

$(68+9.8)

b)

$74.80

c)

$61.70

d)

$25.14

e)

$93.74

94.

If m=6, then the expression ... is equal to

a)

-4

b)

-3

c)

9

d)

6

e)

-2

95.

Which of the following is the midpoint of a line with endpoints at (-2,-8) and (8,0)?

a)

(3,–4)

b)

(-2, 5)

c)

(6,–8)

d)

(0,5)

e)

(3,4)

96.

If 4x+5=15, then 10x+5=

a)

quotient of two fractions 1/3 and 2/9

b)

negative number

c)

value of a root

sqrt(900)

d)

square root of 100

e)

value of a power 5^2

97.

The expression ... can be reduced to

a)

b)

c)

d)

e)

98.

Which of the following is the vertex of the parabola which is the graph of the equation y=(x+1)^2 +2?

a)

(2,5)

b)

(0, -1)

c)

(-3,-2)

d)

(-1, 2)

e)

(0, -5)

99.

is equivalent to

a)

b)

c)

d)

e)

100.

If p<0, q>0, and r>p, then which of the following must be true?

a)

pr<rq

b)

p+r>0

c)

p+r<r+q

d)

r+q>q

e)

r^p<r^q

Similar Resources on Wayground

Multiplication Facts

100 questions

Multiplication Facts

quiz

Worksheet

•

2nd Grade - University

Ensayos para el PAA. (Matemática)

100 questions

Ensayos para el PAA. (Matemática)

quiz

Worksheet

•

University

Prueba de Multiplicación y Conmutatividad

100 questions

Prueba de Multiplicación y Conmutatividad

quiz

Worksheet

•

3rd Grade - University

TEST DE SERIE DE NÚMEROS

103 questions

TEST DE SERIE DE NÚMEROS

quiz

Worksheet

•

1st Grade - University

Persamaan Linear Satu Variabel

100 questions

Persamaan Linear Satu Variabel

quiz

Worksheet

•

7th Grade - University

MATEMATICAS - PPNN ENERO 2025 - II

100 questions

MATEMATICAS - PPNN ENERO 2025 - II

quiz

Worksheet

•

University

PRECALCULUS -- AP EXAM REView

96 questions

PRECALCULUS -- AP EXAM REView

quiz

Worksheet

•

11th Grade - University

Hanlon Addition Fluency Set 1

100 questions

Hanlon Addition Fluency Set 1

quiz

Worksheet

•

2nd Grade - University