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1st Mid- Quarter Examination Grade 10 - Elective Math

Total questions: 50

Worksheet time: 13hrs 30mins

Name
Class
Date
1.

Points M , X and S are collinear

a)

YES

b)

NO

c)

Maybe

2.

What point is collinear to Q?

a)

R

b)

S

c)

M

d)

X

3.

Which of the following pairs of points are collinear?

a)

M and R

b)

X and Q

c)

M and N

d)

Q and W

4.

How is the distance formula correctly written:

a)

d = (y1 y2)2 (x2 x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\

b)

d = (x2 x1)2 + (y2 y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}

c)

d = (y1 y2)2 + (x2 x1)2d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}

d)

d = (x)2 (y)2\sqrt{\left(x\right)^2-\ \left(y\right)^2}

5.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

6.

Find the direct distance between the court house and the town hall.

a)

26.89 km

b)

6.81 km

c)

10.02 km

d)

7.21 km

7.

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

8.

What is the distance between two cities, City A located at (3, 5) and City M located at (-4, -19)?

a)

13 units

b)

21 units

c)

23 units

d)

25 units

9.

Find the midpoint of the line segment with the given endpoints.

(-4,4) and (-2,2)

a)

M=(3,3)M=\left(3,3\right)  

b)

M=(3,3)M=\left(-3,-3\right)  

c)

M=(3,3)M=\left(-3,3\right)  

d)

M=(3,3)M=\left(3,-3\right)  

10.

Find the midpoint of the line segment with the given endpoints.

(-1,1) and (5,-5)

a)

M=(2,2)M=\left(-2,2\right)  

b)

M=(2,2)M=\left(2,-2\right)  

c)

M=(2,2)M=\left(-2,-2\right)  

d)

M=(2,2)M=\left(2,2\right)  

11.

Which of the following represents the midpoint M of a segment whose endpoints are X(3, 5) and Y(9, -1).

a)

M=(392,5(1)2)M=\left(\frac{3-9}{2},\frac{5-\left(-1\right)}{2}\right)

b)

M = (352,9(1)2)M\ =\ \left(\frac{3-5}{2},\frac{9-\left(-1\right)}{2}\right)

c)

M=(3+92,5+(1)2)M=\left(\frac{3+9}{2},\frac{5+\left(-1\right)}{2}\right)

d)

M=(3+52, 9+(1)2)M=\left(\frac{3+5}{2},\ \frac{9+\left(-1\right)}{2}\right)

12.

A recreational building is constructed midway between the two malls. The coordinates of the first mall drawn on the coordinate plane is (-5, -8) while the coordinates of the second mall are (13, 12). What are the coordinates of a point where the new recreational building will be built?

a)

(4, -2)

b)

(3, 9)

c)

(2, -1)

d)

(4, 2)

13.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
14.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
15.
Angles 1 and 3 are what angle pair?
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
16.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
17.
Identify the angle pair.
a)
Complementary angles
b)
Congruent angles
c)
Linear Pair
d)
Vertical Angles
18.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
19.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
20.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
21.

What angle relationship is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

22.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same-Side Interior
23.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
24.

Find C

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

25.

4) Given the following two parallel lines cut by a transversal.


Which pair of angles represents alternate exterior angles?

a)

 4\angle4  and 8\angle8  

b)

 7\angle7  and 5\angle5  

c)

 1\angle1  and  2\angle2  

d)

 6\angle6  and  5\angle5  

26.

Find  m2.m\angle2.  

a)

 131°131\degree  

b)

 180°180\degree  

c)

 49°49\degree  

27.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

28.
Name the angle relationship.
a)
Alternate Exteriors
b)
Alternate Interiors
c)
Corresponding
d)
Same Side Interior
29.
What does lines being parallel mean?
a)
The lines don't like each other.
b)
The lines always intersect?
c)
The lines never intersect.
d)
Nobody knows. It's a mystery of math.
30.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
31.
In which quadrant is the following point?
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
32.
The vertical number line in the coordinate plane is called what? 
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
33.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
34.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
35.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
36.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
d)
I love Math!
37.
How many quadrants are in a coordinate plane?
a)
1
b)
2
c)
3
d)
4
38.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
39.
The __ - axis is the horizontal axis of the coordinate plane.  
a)
X
b)
Y
c)
Z
d)
None of the above
40.

a)

A(4, 5); B(-5, 5)

b)

A(4, 5); B(5, 5)

c)

A(4, 5); B(5, -5)

d)

A(5, 24); B(5, -5)

41.

a)

A(-4, 0); B(-2, -6)

b)

A(-4, 4); B(2, -6)

c)

A(4, 0); B(2, -6)

d)

A(-4, 0); B(2, -6)

42.

a)

G(-6, 28); H(-2, -7)

b)

G(6, -6); H(-2, -7)

c)

G(6, -2); H(-6, -2)

d)

G(6, -6); H(-7, -2)

43.

a)

A(5, -5); B(1, -2)

b)

A(-5, 5); B(0, 2)

c)

A(5, 5); B(0, 2)

d)

A(5, 5); B(0, -2)

44.

a)

C(3, 4); D(-3, 7)

b)

C(-6, 3); D(7, -3)

c)

C(-6, -3); D(3, -3)

d)

C(-6, 3); D(-3, 7)

45.

State the quadrant in which or axis on which the point is located.

(-10, -16)

a)

II

b)

IV

c)

III

d)

I

46.

(-15, 0)

a)

y-axis

b)

II

c)

x-axis

d)

IV

47.

(7, 7)

a)

II

b)

I

c)

III

d)

IV

48.

(-4.9, -3.1)

a)

II

b)

III

c)

I

d)

IV

49.

What is the distance of segment CD?

a)

6

b)

5

c)

4

d)

3

50.

He is the proponent of Rectangular Coordinate System or also known as the Cartesian Plane.

a)

Pythagoras

b)

Rene Descartes

c)

Albert Einstein

d)

Isaac Newton