Free Printable Grade 12 Additional Mathematics Assignment 2024

1.

Given $f(x)=2x+17,\ find\ f(-3)$

a)

11

b)

15

c)

16

d)

17

2.

$Given\ that\ f(x)=2x+9,\ find\ the\ value\ of\ x\ if\ f(x)=23$

a)

7

b)

8

c)

6

d)

9

3.

The coefficient of $x^2$ when $-5x^{3\ }+2x^2-x\ +4\$ is subtracted from $8x^3+9x^2+3x\ -7$ is

a)

13

b)

-13

c)

7

d)

-7

4.

$If\ P(x)=3x^2-4x\ +2$ and $Q\left(x\right)\ =Ax\left(x+1\right)+Bx\ +C$ are identical polynomials, then A + B + C =

a)

-4

b)

-3

c)

-2

d)

1

5.

$9a^2-12ab\ +4b^{2\ }=$

a)

$\left(3a-2b\right)^2$

b)

$\left(3a+2b\right)^2$

c)

$\left(9a-4b\right)^2$

d)

$\left(9a+4b\right)^2$

6.

What is the formula related to the concept of discriminant?

a)

$b^2-4bc$

b)

$b^2+4ac$

c)

$b^2-4ac$

d)

$b^2-2ac$

7.

If $f:x\longrightarrow5x+2$ , find $f^{-1}\left(x\right)$

a)

$f^{-1}\left(x\right)=\frac{x-2}{5}$

b)

$f^{-1}\left(x\right)=\frac{2-x}{5}$

c)

$f^{-1}\left(x\right)=\frac{5-x}{2}$

d)

$f^{-1}\left(x\right)=2x-10$

8.

What is the vertex of
f(x) = 2(x - 5)² + 12

a)

(-5, -12)

b)

(5,-12)

c)

(5, 12)

d)

(-5, 12)

9.

Write the following quadratic expression in vertex form...

x² + 4x + 10

a)

(x + 4)² + 6

b)

(x + 2)² + 6

c)

(x + 4)² - 6

d)

(x + 2)² - 6

10.

Simplify log₃9 + log₃27.

a)

−1

b)

4

c)

5

d)

1

11.

Evaluate log₃81.

a)

$4$

b)

$-4$

c)

$\frac{1}{4}$

d)

$-\frac{1}{4}$

12.

Expand and simplify $\left(\sqrt{2}+\sqrt{3}\right)^2$

a)

$2+5\sqrt{6}$

b)

$5+3\sqrt{2}$

c)

$5+2\sqrt{6}$

d)

$5+6\sqrt{2}$

13.

What are the solutions to the system:

y = x² + 3x - 5

y = x + 3

a)

(-4, 2) and (-1, 5)

b)

(-4, -1) and (2, 5)

c)

(2, -1 and (-4, 5)

d)

(-4, 1) and (2, -1)

14.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

15.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

16.

Which equation best represents the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

17.

Solve:
4x²= -4x -1

a)

x = -½

b)

x = -2

c)

x = 0

18.

Solve the equation
(x + 3)² = 49.

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

19.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

20.

Find the y-intercept of f(x) = 2x²-2x + 1

a)

2

b)

-2

c)

1

d)

-1

21.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

22.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

23.

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a translation shifting f(x) 4 units up

b)

a translation shifting f(x) 4 units down

c)

a translation shifting f(x) 4 units to the left

d)

a translation shifting f(x) 4 units to the right

24.

If the blue is f(x)=x^2,then the red must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

25.

What is the formula above primarily used for?

a)

Finding the axis of symmetry from standard form

b)

Finding the vertex from standard form

c)

Finding the vertex from vertex form

d)

Finding the vertex from standard form

26.

Solve the following linear equation.
Selesaikan persamaan linear yang berikut.
$2x+2y-z=-8$
$x-3y+2z=2$
$\frac{1}{3}x+y-3z=-12$

a)

$x=3\ ,\ y=-1\ ,\ z=4$

b)

$x=-3\ ,\ y=1\ ,\ z=4$

c)

$x=-5\ ,\ y=3\ ,\ z=2$

d)

$x=5\ ,\ y=3\ ,\ z=-2$

27.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

28.

Solve the following linear equation.
Selesaikan persamaan linear yang berikut.

r+2p-q=-6

2r+2p-2q=-8

3r-2p+5q=22

a)

$p=-3\ ,\ q=2\ ,\ r=2$

b)

$p=2\ ,\ q=3\ ,\ r=-1$

c)

$p=-2\ ,\ q=3\ ,\ r=1$

d)

$p=6\ ,\ q=8\ ,\ r=-2$

29.

The correct method to convert $56^{\degree}$ to radian is.........

a)

$56+\frac{180}{\pi}$

b)

$56\times\frac{180}{\pi}$

c)

$56\times\frac{\pi}{180}$

d)

$56+\frac{\pi}{180}$

30.

The correct way to convert 5.6 rad to degree is......

a)

$5.6\times\frac{180}{\pi}$

b)

$5.6\times\frac{\pi}{180}$

c)

$5.6\div\frac{180}{\pi}$

d)

$5.6\div\frac{\pi}{180}$

31.

Calculate the area of segment for the following diagram.

a)

$1.98\ cm^2$

b)

$11.98\ cm^2$

c)

$19.82\ cm^2$

d)

$1.198\ cm^2$

32.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

33.

Find the derivative of the given equation
f(x) = x³ + x² + 3

a)

3x² + 2x

b)

3x + 2x

c)

3x + 2x + 3

d)

x³ + x²

34.

Find the second derivative of:

f(x) = 2x²- 8x + 9

a)

-8

b)

4

c)

9

d)

0

35.

If the gradient of the tangent is $\frac{4}{3}$ , what is the gradient of the normal at the same point?

a)

$-\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{4}{3}$

36.

Given that the quadratic equation x(3x-5)=x+11,determine the types of the root

a)

two different roots

b)

two equal roots

c)

no real roots

37.

a)

k = -4

b)

k = 5

c)

k = 6

d)

k = 8

38.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

39.

Select the correct expansion of

(1 - x)⁵

a)

1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

b)

1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

c)

-1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

d)

1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

40.

Find the fourth term of the expansion (5+3y)⁵.

a)

2025y⁴

b)

750y³

c)

75y⁴

d)

6750y³

41.

FInd the derivative:

f(x) = (-2/3)x³ - (1/2)x² + 9x

a)

-2x² - x + 9

b)

-2x² + x + 9

c)

2x² - x + 9

d)

2x² - x - 9

42.

Find the second derivative of the function:
f (x) = 2x - 5x⁶

a)

f ''(x)= 2 - 30x

b)

f ''(x) = 2-30x⁵

c)

f ''(x) = -30x⁵

d)

f ''(x) = -150x⁴

43.

The position of an object is given as a function of time by x = 3t² + 5t³- 2t
What is the acceleration of the object at time t = 2 s?

a)

64 m/s/s

b)

60 m/s/s

c)

66 m/s/s

d)

70 m/s/s

44.

If the position of a particle is represented by x(t) = -t² + 1, what is its instantaneous velocity at t = 1?

a)

v = 0

b)

v = 1

c)

v = -1

d)

v = -2

45.

a)

b)

c)

d)

46.

a)

b)

c)

d)

47.

a)

b)

c)

d)

48.

(a)

49.

a)

$k<5$

b)

$k>5$

c)

$k<-5$

d)

$k>-5$

50.

a)

$p=8$

b)

$p=-4$

c)

$p=4$

d)

$p=-8$

51.

Solve the following linear equation.
Selesaikan persamaan linear yang berikut.

r+2p-q=-6

2r+2p-2q=-8

3r-2p+5q=22

a)

$p=-3\ ,\ q=2\ ,\ r=2$

b)

$p=2\ ,\ q=3\ ,\ r=-1$

c)

$p=-2\ ,\ q=3\ ,\ r=1$

d)

$p=6\ ,\ q=8\ ,\ r=-2$

52.

a)

$k>-1\ ,\ k<3$

b)

$-1\le k\le3$

c)

$k<-1\ ,\ k>3$

d)

$-1<k<3$

53.

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)

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

54.

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

a)

- 1

b)

0

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

55.

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

a)

Equal

b)

Perpendicular

c)

Negative

d)

Positive

56.

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

a)

0

b)

Undefined

c)

-1

d)

1

57.

Find the slope of the line.

a)

1/2

b)

2

c)

-1/2

d)

-2

58.

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)

59.

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

a)

9.7

b)

10.7

c)

11.7

d)

12.7

60.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

Grade 12 Additional Mathematics Assignment 2024

Total questions: 60

Worksheet time: 5hrs 0mins

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