Free Printable GRADE 7 MATH

1.

Factor 6x + 10

a)

3(2x + 5)

b)

2(3x + 5)

c)

2(3x - 5)

d)

-2(3x + 5x)

2.

x² - 9

a)

(x + 3)²

b)

(x + 3) (x - 3)

c)

(x - 3)²

d)

x + 3(x - 3)

3.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

4.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

5.

Factor $k^2-2k-24$

a)

$(k-4)(k+6)$

b)

$(k+4)(k+6)$

c)

$(k+6)(k-1)$

d)

$(k+4)(k-6)$

6.

Factor

x^2-10x+16

a)

$(x+12)(x-2)$

b)

$(x-4)(x-6)$

c)

$(x+10)(x-2)$

d)

$(x-2)(x-8)$

7.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

8.

Complete the formula
a³-b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

9.

Factor: x³+ 1

a)

(x + 1)³

b)

(x+1)(x²- x + 1)

c)

(x - 1) (x² + x - 1)

d)

(x + 1)(x² - 2x + 1)

10.

Factor the difference of cubes.

x³- 125

a)

(x + 5)(x² - 5x + 25)

b)

(x + 5)(x - 5)

c)

(x - 5)(x² + 5x + 1)

d)

prime

11.

$Simplify:\ \ \frac{x^8y^{12}}{x^4y^{15}}$

a)

$\frac{x^4}{y^3}$

b)

$\frac{x^{12}}{y^3}$

c)

$x^{12}y^{27}$

d)

$\frac{y^3}{x^4}$

12.

$Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}$

a)

$\frac{x}{x+3}$

b)

$\frac{x}{x-3}$

c)

$\frac{x+6}{x-3}$

d)

$\frac{x}{x+6}$

13.

$Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$

a)

$\frac{x-1}{x+7}$

b)

$\frac{x+1}{x+7}$

c)

$\frac{x-1}{x-7}$

d)

$\frac{x+1}{x-7}$

14.

$\frac{x}{x+3}+\frac{3}{x+3}=$

a)

$x^2$

b)

$\frac{3x}{x\ +\ 3}$

c)

1

d)

$\frac{3x}{3x}$

15.

a)

4 / 7v²

b)

4 / 7v

c)

20 / 35v

d)

20 / 35v²

16.

$Divide\frac{v^2-9}{3v^2+12}by\ \frac{v+3}{v^2+4}$

a)

$\frac{v-3}{3}$

b)

$\frac{v+3}{3}$

c)

(v+3)(v-3)

d)

3

17.

Solve the complex fraction.

a)

7/3

b)

3/7

c)

100/21

d)

21/100

18.

a)

b)

c)

d)

19.

What is at (1,2)?

a)

the moon

b)

the sun

c)

a blue planet

d)

a robot

20.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

d)

I love Math!

21.

In an ordered pair the first number represents which axis?

a)

x

b)

y

c)

z

d)

w

22.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

23.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

24.

In which quadrant is the following point found?
(-3, -12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

25.

What is the vertical number line in the coordinate plane called?

a)

y-axis

b)

origin

c)

quadrant

d)

x-axis

26.

What is the coordinate of this point?

a)

(8, 2)

b)

(2,7)

c)

(2,8)

d)

(8,3)

27.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

28.

The coordinate (4, -3) is in which quadrant?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

29.

Which among these mathematicians was the Cartesian Plane named after?

a)

Euclid

b)

Pythagoras

c)

Rene Descartes

d)

Blaise Pascal

30.

find the slope of 5x + 2y = 6

a)

- $\frac{2}{5}$

b)

$\frac{2}{5}$

c)

$\frac{\text{5}}{\text{2}}$

d)

-

\frac{5}{2}

31.

find the slope of this line

a)

3

b)

2.5

c)

.67

d)

1

32.

Find the slope of (12,-18) & (11,12)

a)

5

b)

-30

c)

-25

d)

10

33.

What is the slope of the line -7y + 8x = 9

a)

2

b)

5.17

c)

4.23

d)

1.14

34.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

35.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

36.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

37.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

38.

What type of slope is shown by the stairs in the image?

a)

positive

b)

negative

c)

undefined

d)

zero

39.

What type of slope is Mario running in the picture?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

40.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

41.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

42.

The slope of a VERTICAL line is ____________________.

a)

Zero

b)

undefined

c)

negative

d)

positive

43.

The slope of a HORIZONTAL line is ____________________.

a)

zero

b)

undefined

c)

positive

d)

negative

44.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = -1/3 and m = -1/3

a)

Parallel

b)

Perpendicular

c)

Neither

d)

can not be determined

45.

The following represents slopes of two lines.
Which answer choice describes the two lines?
m = 5 and m = -1/5

a)

Parallel

b)

Perpendicular

c)

Neither

d)

can not be determined

46.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

47.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

48.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

49.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

50.

Give the y-interecept
3x + y = 5

a)

-3

b)

(0,5)

c)

-5

d)

(0, -3)

51.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

52.

What is the y intercept?
y = 2x - 3

a)

3

b)

-3

c)

1

d)

2

53.

The equation of the line passing through (─ 3, 4) and parallel to the line 2x ─ 3y + 7 = 0 is :

a)

3x + 2y ─ 17 = 0

b)

2x ─ y + 10 = 0

c)

2x ─ 3y + 18 = 0

d)

2x ─ 3y ─ 17 = 0

54.

: The equation of the line passing through the points (─ 1, 3) and (4, ─ 2) is :

a)

x + y ─ 2 = 0

b)

x ─ y + 4 = 0

c)

3x + 2y ─ 3 = 0

d)

x ─ y + 6 = 0

55.

Which is the equation of the line with slope 3 and y-intercept 5.

a)

y = 3x + 5

b)

y = 5x + 3

c)

y = 3/5x

d)

y = 5/3x

56.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

57.

Identify the slope and y -intercept in the equation:

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

58.

Find the equation of the line that passes through the points:
(0, -2) and (-5, 3)

a)

y = -x - 2

b)

y = x - 2

c)

y = x + 3

d)

y = -x - 3

59.

What variable typically represents the domain?

a)

x

b)

y

60.

What variable typically represents the range?

a)

x

b)

y

61.

What is the domain?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

62.

What is the range?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

63.

What is the domain?

a)

{5, 10, 15}

b)

{(5,2), (5,4), (10,6), (15,8)}

c)

{2, 4, 6, 8}

d)

{5, 2, 4, 10, 15}

64.

What is the range?

a)

{5, 10, 15}

b)

{(5,2), (5,4), (10,6), (15,8)}

c)

{2, 4, 6, 8}

d)

{5, 2, 4, 10, 15}

65.

What is the range of the function f(x)= x² + 2 when the domain
is {-1, 0 , 1}?

a)

{1, 2, 3}

b)

{2, 3}

c)

{0, 2, 4}

d)

{1, 3}

66.

Which has the same absolute value as -55?

a)

0

b)

-1

c)

1

d)

55

67.

Is absolute value of a number is always positive?

a)

yes

b)

no

68.

|-20|

a)

20

b)

-20

69.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

70.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

71.

Solve. Select BOTH solutions.

$\left|x-1\right|=3$

a)

-2

b)

2

c)

4

d)

-3

72.

Solve. Select BOTH solutions.
$\left|10x-8\right|=38$

a)

$3$

b)

$-3$

c)

$\frac{23}{5}$

d)

$\frac{19}{5}$

73.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

74.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

75.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

76.

This system has _____ solutions

a)

no

b)

one

c)

two

d)

Infinitely many

77.

Solve by elimination:
9x-4y=7

x-4y=-17

a)

(-1,5)

b)

(-7,5)

c)

(7,5)

d)

(3,5)

78.

A kind of system of linear equation having infinitely many solutions.

a)

Consistent and Independent

b)

Consistent and Dependent

c)

Inconsistent

d)

Pependicular

79.

What kind of system of linear equation has one solution?

a)

Consistent and Dependent

b)

Inconsistent

c)

Consistent and Independent

d)

All of these

80.

How many solution does a consistent and dependent system of linear equations have?

a)

none

b)

1

c)

2

d)

infinite

81.

Determine if (-2,-1) is a solution of

x-y=-1 and 2x-y=-5

a)

YES

b)

NO

82.

Which of the following has a solution of (0,1)?

a)

2x-3y=3 and 5x-8y=8

b)

2x+3y=3 and 5x+8y=8

c)

2x-3y=-3 and 5x-8y=-8

d)

2x+3y=3 and 5x-8y=-8

83.

Describe the graph below.

a)

Lines coincide

b)

Lines intersect

c)

Lines are parallel

d)

Lines are perpendicular

84.

6x - 4y = -16

10x - y = 13

a)

(2,7)

b)

(1,-3)

c)

(4,2)

d)

(2,-1)

85.

7x - 14y = 7

5x - 5y = 15

a)

(4,3)

b)

(1,-2)

c)

(5,2)

d)

(3,1)

86.

a. E = {(3, 2) (2, 3) (3, 6) (2, 5)}

a)

FUNCTION

b)

NOT FUNCTION

87.

b. B = {(1, 1) (2, 2) (3, 3) (4, 4)}

a)

FUNCTION

b)

NOT FUNCTION

88.

c. C = {(1, 0) (0, 3) (0, -1) (-1, 5)}

a)

FUNCTION

b)

NOT FUNCTION

89.

d. A = {(1, 2) (2, 3) (3, 4) (4, 5)}

a)

FUNCTION

b)

NOT FUNCTION

90.

a)

FUNCTION

b)

NOT FUNCTION

91.

a)

FUNCTION

b)

NOT FUNCTION

92.

a)

FUNCTION

b)

NOT FUNCTION

93.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

94.

f(x) = x+7 find f(4)

a)

11

b)

12

c)

9

d)

10

95.

f(x) = x-5 find f(9)

a)

4

b)

14

c)

9

d)

13

96.

f(x) = x+3

Find x when f(x) = 8

a)

-1

b)

1

c)

5

d)

-5

97.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

98.

If I know that f(2) = 4, what is another way I can write my answer?

a)

4,2

b)

(2, 4)

99.

Find the zero of the linear function: f(x) = 5x + 1

a)

3

b)

10

c)

-0.2

d)

0.5

100.

Find the zero of the linear function: f(x) = -3x - 4

a)

3/4

b)

-7/2

c)

2/3

d)

-4/3

101.

What is the hypothesis of the given Conditional Statement?

a)

Jimmy will go to Orlando

b)

Jimmy goes on vacation

c)

Jimmy will go to Orlando

d)

Who is Jimmy?

102.

What is the converse to this statement?

a)

If it isn't dark outside, then it is not night.

b)

If it is night, then it is dark outside

c)

If it is not night, then it is not dark outside.

d)

It is night.

103.

What is the inverse to this statement?

a)

If you live in Canada, you live in Montreal

b)

If you don't live in Montreal, then you don't live in Canada.

c)

If you don't live in Canada, you don't live in Montreal.

d)

Montreal is in Brazil.

104.

What is the conclusion to this?

a)

Clarkson will be the coolest

b)

Clarkson will not be the coolest

c)

Clarkson gives us Mountain Dew

d)

Clarkson will not give us Mountain Dew

105.

What is the contrapositive to this?

a)

If the food is not cooked, then it is not in the oven.

b)

If the food is not in the oven, then it is not cooked.

c)

If the food is cooked, then its in the oven.

d)

If food is not in the oven, then its cooked.

106.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

a)

Conditional

b)

Conjecture

c)

Biconditional

107.

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

a)

if

b)

then

c)

if and only if

d)

always

108.

Select the conditional statement of the biconditional statement:

I am a junior if and only if I am in 11th grade.

a)

I am a junior

b)

If I am a junior, then I am in 11th grade.

c)

I am in 11th grade

109.

Which property of real numbers justifies the work shown from Step 1 to Step 2?

a)

Distributive Property

b)

Commutative Property

c)

Identity Property

d)

Associative Property

110.

Which property of real numbers was used to get from Step 3 to Step 4?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Additive Inverse Property

d)

Substitution Property

111.

Identify the property you would use to solve this equation:
4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

112.

Which property of equality is used to solve the equation?

$p-19=-18$

a)

Addition property

b)

Subtraction property

c)

Multiplication property

d)

Division property

e)

Distributive property

113.

A number is equal to itself.

a)

Symmetric Property

b)

Reflexive Property

c)

Distributive Property

d)

Transitive Property

114.

For any angles A and B, if $\angle$ A = B, then B = A.

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Distributive Property

115.

For any segment AB, CD, and EF; If AB=BC and BC=EF, then AB=EF.

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Distributive Property

116.

2. What Undefined term that has infinite length but with no width nor thickness?

a)

Angle

b)

Line

c)

Plane

d)

Point

117.

4. It is a statement that has to be proven before being accepted

a)

Postulate

b)

Defined terms

c)

Plane

d)

Theorem

118.

3. What does the surface of a table represent?

a)

Polygon

b)

Line

c)

Plane

d)

Point

119.

6. Which of the following is a subset of a line with two endpoints?

a)

Angle

b)

Midpoint

c)

Line Segment

d)

Ray

120.

7. It is a figure formed by two rays with a common point.

a)

Plane

b)

Midpoint

c)

Line Segment

d)

Angle

121.

9. TRUE or FALSE. At least two points determined a Line.

a)

TRUE

b)

FALSE

122.

10. In the figure above. Points A, B, C is an illustration of_______?

a)

Collinear points

b)

Parallel Lines

c)

Coplanar points

d)

Angles

123.

3. If O is the midpoint of PT, then PO=OT.

a)

TRUE

b)

FALSE

124.

2. If ∠DEF is a right angle, then m∠DEF is 90°.

a)

TRUE

b)

FALSE

125.

1.If m∠3+m∠4=180°, then ∠3 and ∠ 4 are complementary .

a)

TRUE

b)

FALSE

126.

Directions: Identify the following points and lines that are being described using the figure shown. Choose the letter of the best answer from the choices given.

Point Q and point Y.

a)

a. collinear points

b)

b. coplanar points

127.

Directions: Identify the following points and lines that are being described using the figure 1 shown. Choose the letter of the best answer from the choices given.

Point T, point U, and point W.

a)

a. collinear points

b)

b. coplanar points

128.

Directions: Identify the following points and lines that are being described using the figure 1 shown. Choose the letter of the best answer from the choices given.

Line UW and line VX.

a)

a. parallel lines

b)

b. intersecting lines

129.

Directions: Identify the following points and lines that are being described using the figure 1 shown. Choose the letter of the best answer from the choices given.

Line TW and line JV.

a)

a. parallel lines

b)

b. intersecting lines

130.

These are mathematical terms which cannot be precisely defined. They can only be explained using examples and descriptions. In geometry, these are lines, points, and planes.

a)

undefined terms

b)

defined terms

c)

axioms and postulates

d)

theorems

131.

Using the undefined terms, other terms can be generated and define precisely. For example, line segments, ray, angles etc.

a)

undefined terms

b)

defined terms

c)

axioms and postulates

d)

theorems

132.

A statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

a)

undefined terms

b)

defined terms

c)

axioms and postulates

d)

theorems

133.

These are statements that we can arrive at by successive application of the rule of implication to the axioms and postulates. These are statements that can be proven to be true.

a)

undefined terms

b)

defined terms

c)

axioms and postulates

d)

theorems

134.

Defined as a line of points that extends infinitely in two directions. It has one dimension, length.

a)

line

b)

plane

c)

point

d)

arrow

135.

It has no size i.e. no width, no length and no depth.

a)

line

b)

plane

c)

point

d)

arrow

136.

Extends infinitely in two dimensions. It has no thickness.

a)

line

b)

plane

c)

point

d)

arrow

137.

Part of a line that has a fixed starting point but does not have an endpoint. It can extend infinitely in one direction, meaning that it can go on forever in one direction.

a)

ray

b)

line segment

c)

plane

d)

angle

138.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

139.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

140.

Which of the following is a postulate use to prove a triangle congruence when the given is an included angle and two adjacent sides?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

141.

When two angles of a triangle and a non-included side is given, what postulate can be used to prove triangle congruence?

a)

SSA

b)

AAA

c)

ASA

d)

AAS

142.

$\Delta BIG\cong\Delta LAD$ , which side is congruent to $\overline{BG}$ ?

a)

$\overline{BI}$

b)

$\overline{LA}$

c)

$\overline{AD}$

d)

$\overline{LD}$

143.

$\Delta BIG\cong\Delta LAD$ , which angle is congruent to $\angle B$ ?

a)

$\angle G$

b)

$\angle L$

c)

$\angle A$

d)

$\angle D$

144.

If $\Delta GAM\cong\Delta ERS$ , what angle is congruent to $\angle RES$ ?

a)

$\angle GAM$

b)

$\angle AGM$

c)

$\angle GMA$

d)

$\angle MAG$

145.

$\Delta GAM\cong\Delta ERS$ , $\overline{GA}=11$ , $\overline{GM}=8$ , and $\overline{AM}=7$ . What is the length of $\overline{ER}$ ?

a)

7

b)

8

c)

11

d)

26

146.

Given that $\Delta STA\cong\Delta BLE$ . If $m\angle S=97\degree$ and $m\angle T=43\degree$ ? What is the measure of angle L?

a)

$40\degree$

b)

$43\degree$

c)

$90\degree$

d)

$97\degree$

147.

Given that $\Delta STA\cong\Delta BLE$ . If $m\angle S=97\degree$ and $m\angle T=43\degree$ ? What is the measure of angle E?

a)

$40\degree$

b)

$43\degree$

c)

$90\degree$

d)

$97\degree$

148.

What triangle congruence postulate or theorem justifies the congruency of $\Delta IEL\cong\Delta EIF$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

149.

What triangle congruence postulate or theorem justifies the congruency of $\Delta RTO\ and\ \Delta BSO$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

150.

Identify any common angles or sides

a)

JK

b)

Angle MJK

c)

LK

d)

Angle MKJ

151.

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common side or angle.

a)

Angle M

b)

Angle P

c)

Angle K

d)

Angle MLP

152.

Name a side or angle that is overlapping.

a)

AB

b)

BC

c)

DC

d)

∠DAC

153.

$\overrightarrow{BD}$ bisects $\angle CBA$

Find the $m\angle CBA$

a)

$120\degree$

b)

$65\degree$

c)

$130\degree$

d)

$125\degree$

154.

$\overrightarrow{QS}$ bisects $\angle PQR$

Find the $m\angle PQR$

a)

$104\degree$

b)

$52\degree$

c)

$100\degree$

d)

$152\degree$

155.

$\overrightarrow{AB\ }$ bisects $\angle CAD$ .

Find the value of x.

a)

8.5

b)

8

c)

33

d)

7

156.

a)

JM = 5

b)

JM = 10

c)

JM = 12

d)

JM = 24

157.

Solve for the value of x.

a)

x = 10

b)

x = 20

c)

x = 3

d)

x = 45

158.

a)

QR = 4

b)

QR = 20

c)

QR = 11

d)

QR = 5

159.

a)

AD = 12, BC = 5

b)

AD = 12, BC = 16

c)

AD = 5, BC = 12

d)

AD = 12, BC = 8

160.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

161.

Find the measure of $\angle NJZ$

a)

38

b)

90

c)

52

d)

128

162.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

163.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

164.

Find the missing length indicated.

a)

28

b)

8

c)

20

d)

14

165.

Find the missing length indicated.

a)

42

b)

11

c)

21

d)

30

166.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

167.

The figure is an example of a(n) ...

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

168.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

169.

An isosceles triangle is a triangle in which exactly two sides are the same length.

a)

True

b)

False

170.

classify the triangle according to its angles

a)

obtuse

b)

acute

c)

right

d)

isosceles

171.

classify triangle according to its sides

a)

equilateral

b)

isosceles

c)

scalene

d)

right

172.

classify triangle based on its sides

a)

scalene

b)

isosceles

c)

equilateral

d)

obtuse

173.

classify triangles based on its angles

a)

acute

b)

right

c)

obtuse

d)

straight

174.

A triangle in which all the three sides are unequal in length is called a __________.

a)

Scalene

b)

Isosceles

c)

equilateral

d)

acute

175.

A triangle in which have all its three sides equal in length is called an _______________

a)

scalene

b)

isosceles

c)

equilateral

d)

acute

176.

A triangle is which one of its angles is measuring more than 90° is known as an acute-angled triangle.

a)

True

b)

False

177.

a triangle in which any one of the three angles is exactly 90°, is known as a right-angled triangle.

a)

True

b)

False

178.

classify the triangle whose sides are:

4 cm, 4 cm and 7 cm.

a)

Scalene

b)

Isosceles

c)

Equilateral

d)

right

179.

What triangle is this according to its angles?

a)

Acute

b)

Equiangular

c)

Obtuse

d)

Right

180.

What triangle is this according to its sides?

a)

Equilateral

b)

Isosceles

c)

Scalene

181.

Find x.

a)

72

b)

67

c)

65

d)

54

182.

What is x?

a)

12

b)

11

c)

8

d)

6

183.

Determine x

a)

93

b)

71

c)

81

d)

55

184.

What is the measure of angle 2?

a)

50

b)

65

c)

115

185.

Find x

a)

90

b)

45

c)

22

d)

35

186.

Find the value of x.

a)

1

b)

4

c)

5

d)

8

187.

The pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

188.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

189.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

190.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

191.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

192.

Does a triangle with these side lengths exist?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

193.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

194.

Identify the smallest angle.

a)

∠A

b)

∠B

c)

∠C

195.

Identify the largest angle.

a)

∠N

b)

∠Q

c)

∠P

196.

State if the three numbers can be measures of the sides of a triangle.
$8,10,20$

a)

Yes

b)

No

197.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

198.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

199.

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply that leg's length by √2.

c)

Multiply that leg's length by 2.

d)

Divide that leg's length by √2.

200.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

201.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

202.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

203.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

204.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

205.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

206.

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

207.

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

a)

32

b)

192

c)

40,320

d)

51,200

208.

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

a)

30

b)

17

c)

90

d)

270

209.

If you roll a die then flip a coin, how many possible outcomes?

a)

2

b)

6

c)

12

d)

64

210.

bag contains 5 red marbles, 2 green marbles, and 4 white marbles. What is the probability of picking a green marbles?

a)

5/11

b)

2/11

c)

4/11

d)

6/11

211.

You flip a coin.

What is P(heads)?

a)

50%

b)

1%

c)

25%

d)

100%

212.

Cindy owns 7 t-shirts, 2 of which are gray. If Cindy randomly selects a t-shirt to wear, what is the probability it will be gray?

a)

2/7

b)

5/7

c)

7/7

d)

1/7

213.

You pick a card at random.

What is P(5)?

a)

3/1

b)

3/4

c)

1/4

d)

1

214.

You roll a 6-sided die.

What is P(3)?

a)

1/6

b)

1/3

c)

3/6

d)

6

215.

A die is rolled. What is the probability that the result is less than 3 ?

a)

1/2

b)

1/3

c)

1/4

d)

1/6

216.

This is the set of all outcomes in an experiment.

a)

Experiment

b)

Outcome

c)

Sample Space

d)

Event

217.

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

218.

5. There are 4 blue pens, 6 red pens, and 2 green pens in a bag. If a pen is drawn at random from the bag, what is the probability that a green pen is drawn?

a)

A. 2/3

b)

B. 1/3

c)

C. 1/2

d)

D. 1/6

219.

What is the probability that you choose blue? *simplify

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

220.

4. Deck of Cards. What is the probability of picking a heart?

a)

A. $\frac{1}{4}$

b)

B. $\frac{1}{2}$

c)

C. $\frac{1}{13}$

d)

D. $\frac{1}{52}$

221.

What is the value of 5!?

a)

25

b)

15

c)

120

d)

720

222.

_{Evaluate 7}P_2.

a)

0

b)

7

c)

42

d)

210

223.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

224.

How many ways ways can you arrange the letters in the word math?

a)

15

b)

4

c)

24

d)

48

225.

EVALUATE P( 6,3)

a)

60

b)

120

c)

40

d)

18

GRADE 7 MATH

Total questions: 225

Worksheet time: 13hrs 45mins

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