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Form 3 Term 3 Coursework

Total questions: 45

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

2.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,0)

b)

(7,-9)

c)

(4,-3)

d)

(-1,2)

3.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
4.
Find the midpoint of an imaginary diagonal AC of ABCD.
a)
(1, 3)
b)
(5, 4)
c)
(6, 4)
d)
(0, 4)
5.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
6.
Find the midpoint of point J and K
a)
(-3,3)
b)
(1,3)
c)
(-1,3)
d)
(2, 2.5)
7.

What is the distance between (-5, 3) and (4, -5)?

a)

145\sqrt{-145}

b)

145\sqrt{145}

c)

145

d)

-145

8.
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
9.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

10.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
11.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
12.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
13.

Calculate the gradient of the line drawn below.

a)

Gradient=3

b)

Gradient=2

c)

Gradient=-2

d)

Gradient=-3

14.

Find the gradient of the line that passes through (3,4) and (2,2).

a)

Gradient=-2

b)

Gradient=4

c)

Gradient=2

d)

Gradient=3

15.

Find the gradient .

a)

Gradient=3

b)

Gradient=-3

c)

Gradient=9

d)

Gradient=7

16.

Find the gradient of the line passing through the points (3,-5) and (7,11).

a)

Gradient=3

b)

Gradient=7

c)

Gradient=16

d)

Gradient=4

17.

Which of the following is the graph of the equation y=2x-5.

a)
b)
c)
d)
18.

Find the gradient of the line below.

a)

Gradient=1

b)

Gradient=-1

c)

Gradient=4

d)

Gradient=-4

19.

Find the type of the gradient in this graph.

a)

Negative

b)

Positive

c)

Zero

d)

No gradient

20.

Find type of the graph.

a)

Positive

b)

Negative

c)

Zero

d)

No gradient

21.

The equation of a straight line is in the form of .....

a)

y=x

b)

y=mx

c)

y=mx+c

d)

y=mx+mc

22.

Which of these lines has a negative gradient?

a)

Orange Line

b)

Blue Line

c)

Red Line

d)

Green Line

23.

Find the gradient for the PURPLE line.

a)

-3

b)

3

c)

-1

d)

1

24.

Find the y-intercept for the PURPLE line.

a)

−3

b)

4

c)

−2

d)

2

25.

What is the y-intercept of this line?

a)

2

b)

−3y

c)

3

d)

−3

26.

Write down the equation of this line.

a)

y= 2x+1

b)

y= −2x+1

c)

y= 2x−½

d)

None of the above

27.

What line goes through (1,4) and has gradient 2

a)

y=2x+2

b)

y=x+1

c)

y=4x-1

d)

y=2x+4

28.

Find the equation of a line with gradient 3 that passes through the point (2,4)

a)

y=3x+1

b)

y=3x

c)

y=3x-2

d)

y=2x+1

29.

Find the point of intersection:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

30.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
No solution
31.

The solution(intersection point) is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

32.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
33.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

34.

What is the ordered pair for point E?

a)

(3, 0)

b)

(0,4)

c)

(0, -3)

d)

(-3, 0)

35.

What is an ordered pair?

a)

a set of numbers used to locate a point on the coordinate plane

b)

the vertical number line

c)

a number that corresponds to a number on the y-axis

d)

a point where the numbers intersect

36.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

37.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

38.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
39.

Solve


3xy=113x-y=11

  x+y=5x+y=5  

a)

x=4, y=1x=4,\ y=1

b)

x=4, y=1x=4,\ y=-1

c)

x=4, y=1x=-4,\ y=1

d)

x=4, y=1x=-4,\ y=-1  

40.

Solve

2x+3y=52x+3y=5

x+3y=7x+3y=7


a)

x=2, y=3x=-2,\ y=3

b)

x=2, y=3x=-2,\ y=-3

c)

x=2, y=3x=2,\ y=3

d)

x=2, y=3x=2,\ y=-3

41.

Solve

2x+5y=292x+5y=29

x+5y=22x+5y=22  

a)

x=7, y=3x=7,\ y=3

b)

x=7, y=3x=-7,\ y=-3

c)

x=7, y=3x=7,\ y=-3

d)

x=7, y=3x=-7,\ y=3

42.

Find the solution of the given simultaneous equations.

y = 2x3y\ =\ 2x-3  

3x2y=43x-2y=4  

a)

(2, 1)

b)

(5, -4)

c)

(-7, -17)

d)

(7, 4)

e)

no solution

43.

 Find the point of intersection for the following lines: 
3x+2y=33x+2y=3  
5x+3y=45x+3y=4  

a)

(-1,3)

b)

(17, -12)

c)

(½, ¼)

d)

(-6, 3)

e)

no solution

44.

Solve simultaneously. 

y=2x+1y=2x+1  

y=x5y=-x-5  

a)

(4, -9)

b)

(-2, -3)

c)

(7, 3)

d)

(-4, -7)

e)

no solution

45.

Find the solution of the simultaneous equation.

a)

(0, -2)

b)

(2, -3)

c)

(-2, 3)

d)

(3, -2)

e)

no solution