Free Printable Additional Mathematics

1.

Identify the point A from the graph

a)

(6,1)

b)

(1,6)

c)

6,1

d)

1,6

2.

Identify the Point B from the graph

a)

(0,-9)

b)

(-9,0)

c)

(9,9)

d)

(0,9)

3.

What is the correct formula for the slope of a line?

a)

$Slope\ =\ \frac{y_{2\ }-\ y_1}{x_{2\ }-\ x_1}$

b)

$Slope\ =\ \frac{x_{2\ }-\ x_1}{y_{2\ }-\ y_1}$

c)

$Slope\ =\ \frac{x_{2\ }-\ y_2}{x_{1\ }-\ y_1}$

d)

$Slope\ =\ \frac{y_{2\ }+\ x_1}{x_{2\ }+\ y_1}$

4.

If two lines are parallel then that means their slopes are...

a)

Equal

b)

Perpendicular

c)

Negative

d)

Positive

5.

If two lines are perpendicular then the product of their slopes equals...

a)

- 1

b)

0

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

6.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

7.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

a)

0

b)

Undefined

c)

-1

d)

1

8.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

9.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

10.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

11.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

12.

Find the slope of the line.

a)

1/2

b)

2

c)

-1/2

d)

-2

13.

What is the y - intercept of the graph of y = -5x + 6

a)

(0 , 5)

b)

(5, 0)

c)

(0 , 6)

d)

(6 , 0)

14.

Write the equation of a line with a slope of -3 and y intercept of (0 , 8)?

a)

x = 8

b)

y = -3

c)

y = 8x -3

d)

y = -3x + 8

15.

Given that the slope is 2/3 and the y intercept is (0, -3) what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

16.

Given that the slope is -4 and the y intercept is (0 ,-4) what is the equation of the line?

a)

y = 4x - 4

b)

y = -4x - 4

c)

y = -4

d)

y = -4x + 4

17.

Identify the slope and y intercept to write an equation of the line: y = -1/3x + 1

a)

Slope: 1/3

y-intercept: (1 , 0)

b)

Slope: 1/3

y-intercept: (-1 , 0)

c)

Slope: -1/3

y-intercept: (0 ,1)

d)

Slope: -1/3

y-intercept: (0, -1)

18.

What is the y-intercept of the line graphed below?

a)

(0 , 8)

b)

(0, 4)

c)

(0 , -3)

d)

4/3

19.

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

20.

Identify the slope and y intercept to write an equation of the line.

a)

y = -2x - 3

b)

y = -2x - 6

c)

y = -x - 6

d)

y = 2x - 6

21.

Identify the slope and y intercept to write an equation of the line.

a)

y = -1/4x + 2

b)

y = 1/4x + 2

c)

y = -4x + 2

d)

y = 4x - 2

22.

Calculate the distance between ( - 3 , 5 ) and ( 7 , - 1)

a)

9.7

b)

10.7

c)

11.7

d)

12.7

23.

Calculate the distance between ( - 2 , 1 ) and ( 4 , 3 )

a)

6.3

b)

6.5

c)

6.7

d)

16

24.

Calculate the distance between ( 3 , 2 ) and ( 9 , 7 )

a)

7.1

b)

7.8

c)

8.7

d)

8.9

25.

Calculate the distance between ( 1 , 6 ) and ( 3 , 2)

a)

4.4

b)

4.5

c)

4.6

d)

5.1

26.

Calculate the distance between ( 2 , 3 ) and ( 6 , 4 )

a)

4.1

b)

4.2

c)

3.2

d)

3.4

27.

Calculate the distance between A and B

A = ( 1 , 0 )

B = ( 4 , 5 )

a)

6.2

b)

5.7

c)

6

d)

5.8

28.

What's the distance between ( -3 , 4 ) and ( -3 , -10 )?

a)

14

b)

-14

c)

6

d)

-6

29.

Which of these
co-ordinates lie on the line
y = 3x - 8?

a)

(5, 8)

b)

(0, 8)

c)

(2, -2)

d)

(1, 5)

30.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

31.

What is the formula for finding the distance between two points given their coordinates?

a)

$\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$

b)

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

c)

$\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$

d)

$\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}$

32.

Find the coordinates of the midpoint of $\left(6,-3\right)$ and $\left(4,5\right)$ .

a)

$\left(2,-4\right)$

b)

$\left(-4,2\right)$

c)

$\left(1,5\right)$

d)

$\left(5,1\right)$

33.

If two lines are perpendicular then the product of their gradients is equal to....

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$1$

d)

$-1$

34.

What is the gradient of a line perpendicular to $y=\frac{1}{2}x+3$ ?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$2$

d)

$-2$

35.

Write the equation of the circle.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

36.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

37.

In the equation (x-4)²+(x-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

38.

Write the equation of a circle with center
(7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

39.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

40.

Choose the correct answer:
a² + bc + ab + ac = ______

a)

(a + b) (a + c)

b)

(a + b) (b + c)

c)

(a + c) (b + c)

d)

a (a + b + c)

41.

(x + 1) (x + 1) is a factor of ____

a)

x² + 2x + 1

b)

x² - 2x + 1

c)

x² - 1 + 2x

d)

x² + 1 - 2x

42.

Factor x²-11x+24

a)

(x-3)(x-8)

b)

(x-2)(x-12)

c)

(x+3)(x+8)

d)

(x+2)(x+12)

43.

Solve using the Quadratic Formula:

2x² + 2x − 12 = 0

a)

x = −2, 3

b)

x = 2, 3

c)

x = 2, −3

d)

x = −2, −3

44.

Solve using the Quadratic Formula:
(Hint: Set the equation = to 0)

$x^2+4x-40=-8$

a)

$x=-10,\ -4$

b)

$x=-4,\ 10$

c)

$x=-8,\ 4$

d)

$x=-4,\ 8$

45.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

46.

What is the Axis of symmetry?

a)

Y=3

b)

y=-3

c)

x= 3

d)

x=-3

47.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

48.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

49.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

50.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

51.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

52.

Which of the following is the graph of the equation:

$y=x^2-4x$

Hint: Make a table of values and determine which parabola contains those points.

a)

b)

c)

d)

53.

Which of the following is the graph of the equation:

$y=-3x^2+12x-16$

Hint: Make a table of values and determine which parabola contains those points.

a)

b)

c)

d)

54.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

55.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

56.

Write the following quadratic expression in completed square form...

x² + 8x + 2

a)

(x + 4)² - 14

b)

(x + 4)² - 6

c)

(x + 4)² - 18

d)

(x + 4)² + 6

57.

What is the equation of the Axis of Symmetry of the graph. $f\left(x\right)\ =\ 3x^2\ +6x\ -\ 1$
Remember the A.o.S. formula $x\ =\ -\frac{b}{2a}$ .

a)

x = 2

b)

x = -1

c)

x = 1

d)

x = -2

58.

The roots of 2x²+ 9x = -4 will be

a)

Real, rational & equal

b)

Real, rational & different

c)

Real, irrational & different

d)

Non-real & different

59.

Which is true for the equation $x^2-5x+12=0?$

a)

There are two real roots

b)

There is one one repeated root

c)

There are no real roots

d)

There are two rational roots

60.

What is the value of $b^2-4ac\$ for equation $p^2=3p+2?$

a)

1

b)

17

c)

6

d)

14

Additional Mathematics

Total questions: 60

Worksheet time: 5hrs 0mins

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