Free Printable MAT133

1.

Which real number line represent correctly for $-2\le x<4$ ?

a)

b)

c)

d)

2.

Choose the correct interval form for $x\le3\cup\ x>7.$

a)

$\left(-\infty,3\right)\ \cup\ \left(7,\infty\right)$

b)

$\left[-\infty,3\right]\ \cup\ \left(7,\infty\right]$

c)

$\left(-\infty,3\right)\ \cup\ \left[7,\infty\right)$

d)

$\left(-\infty,3\right]\ \cup\ \left(7,\infty\right)$

3.

Which of the following is labelled correctly?

a)

b)

c)

d)

4.

For the above calculation, which step is wrong?

a)

$1^{st}$

b)

$2^{nd}$

c)

$3^{rd}$

d)

nothing wrong

5.

What is the thing that you cannot do in solving rational inequality?

a)

Cross multiplication

b)

Make it same the denominator

c)

Change the inequality sign

d)

Simplify

6.

$\frac{x-1}{2-x}\ge0$
When solving the above inequality, can $x=2$ included (close bracket) in the answer?

a)

Yes

b)

Cannot

7.

$\frac{\left(-\right)\left(1^{st}\right)}{\left(2^{nd}\right)\left(+\right)}=-$
What are the possible symbol for $1^{st}$ and $2^{nd}$ ?

a)

$1^{st}=-\ ;\ 2^{nd}=+$

b)

$1^{st}=-\ ;\ 2^{nd}=-$

c)

$1^{st}=+\ ;\ 2^{nd}=-$

d)

No correct answer

8.

If $\left|x\right|=a,$ then

a)

$x=a$

b)

$x=a\ \$ or $x=-a$

c)

$x=-a$

d)

$x=a$ and $x=-a$

9.

Which of the following is correct?

a)

If $\left|x-2\right|=3,$ then $x-2=3$

b)

If $\left|x-2\right|=3,$ then $x-2=-3$

c)

If $\left|x-2\right|=3,$ then $x-2=-3$ and $x-2=3$

d)

If $\left|x-2\right|=3,$ then $x-2=-3$ or $x-2=3$

10.

Choose the correct statement.

a)

If

\left|x\right|<a,\

then

-a>x>a

b)

If $\left|x\right|\ge a,$ then $-a\le x\le a$

c)

If $\left|x\right|>a$ then $x>a$ or $x<-a$

d)

If $\left|x\right|\le a,$ then $x\le a$ or $x\ge-a$

11.

Which is the only method that can be used to solve $\left|x-2\right|=\left|x+9\right|$ ?

a)

Method 2

b)

Both methods

c)

Method 1

d)

No idea

12.

What is the real number and imaginary number for $5i-6$ ?

a)

Real number $=5$ ; Imaginary number $=-6$

b)

Real number $=6$ ; Imaginary number $=5$

c)

Real number $=-6$ ; Imaginary number $=5$

d)

Real number $=-6$ ; Imaginary number $=5i$

13.

What is the conjugate for $3+6i$ ?

a)

$-3-6i$

b)

$3-6i$

c)

$-3+6i$

d)

$6i-3$

14.

How to write $\frac{2-4i}{1-i}$ in the form $a+bi$ ?

a)

Multiply the numerator and denominator with $1+i$

b)

Multiply the denominator with $1+i$

c)

Multiply the numerator and denominator with $2+4i$

d)

Multiply the denominator with $2+4i$

15.

If $z=a+bi$ then $\left|z\right|=\sqrt{a^2+b^2}$
Is this the correct formula to find the magnitude of $z$ ?

a)

No

b)

Yes

c)

I don't remember

16.

What is the formula of distance between points $A\left(x_1,y_1\right)$ and $B\left(x_2,y_2\right)$ ?

a)

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

b)

Distance $AB=\sqrt{\left(x_2-x_1\right)+\left(y_2-y_1\right)}$

c)

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

d)

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

17.

$Midpoint=\left(\frac{x_2-x_1}{2},\frac{y_2-y_1}{2}\right)$
Is this the correct formula to find midpoint between points $A\left(x_1,y_1\right)$ and $B\left(x_2,y_2\right)$ ?

a)

Yes

b)

No

18.

What is the gradient and y-intercept for $y=\frac{3}{5}x-5?$

a)

gradient $=-\frac{3}{5}$ ; y-intercept $=-5$

b)

gradient $=\frac{3}{5}$ ; y-intercept $=5$

c)

gradient $=-\frac{3}{5}$ ; y-intercept $=5$

d)

gradient $=\frac{3}{5}$ ; y-intercept $=-5$

19.

Which of the following are the correct law for gradient?

a)

Parallel line $m_1=-m_2$ ; Perpendicular line $m_1\times m_2=-1$

b)

Parallel line $m_1=m_2$ ; Perpendicular line $m_1\times m_2=1$

c)

Parallel line $m_1=m_2$ ; Perpendicular line $m_1\times m_2=-1$

d)

Parallel line $m_1=-m_2$ ; Perpendicular line $m_1\times m_2=1$

20.

State the center and the radius for the circle $\left(x-4\right)^2+\left(x+3\right)^2=49$ .

a)

Center $=\left(4,-3\right)$ ; Radius $=49$

b)

Center $=\left(-4,3\right)$ ; Radius $=7$

c)

Center $=\left(4,-3\right)$ ; Radius $=7$

d)

Center $=\left(-4,3\right)$ ; Radius $=49$

21.

What is the shape and the vertex of the parabola $\left(x-3\right)^2=-4\left(y-6\right)$ ?

a)

Open downward ; Vertex $=\left(3,6\right)$

b)

Open upward ; Vertex $=\left(3,6\right)$

c)

Open to the left ; Vertex $=\left(3,6\right)$

d)

Open to the right ; Vertex $=\left(3,6\right)$

22.

State the shape of the parabola $\left(y-k\right)^2=4p\left(x-h\right).$

a)

Open upward

b)

Open to the left

c)

Open downward

d)

Open to the right

23.

What is the domain of $f\left(x\right)=\sqrt{x-1}$ ?

a)

$x\in\left(1,\infty\right)$

b)

$x\in\left[1,\infty\right)$

c)

$x\in\left[-1,\infty\right)$

d)

$x\in\left(-1,\infty\right)$

24.

Find the range of $g\left(x\right)=x^2-2x+2$

a)

Range = $\left[1,\infty\right)$

b)

Range = $\left(0,\infty\right)$

c)

Range = $\left[0,\infty\right)$

d)

Range = $\left(2,\infty\right)$

25.

Given $h\left(x\right)=\frac{2-x}{x+6},\ m\ne a,$ state the value of $a.$

a)

$a=6$

b)

$a=2$

c)

$a=-2$

d)

$a=-6$

26.

Rearrange the step to find the inverse of $f\left(x\right)=\frac{2x+5}{x}.$
$a.\ x\left(y-2\right)=5\$
$b.\ yx-2x=5$
$c.$ Let $y=\frac{2x+5}{x}$
$d.\ x=\frac{5}{y-2}$

a)

c. $\longrightarrow$ a. $\longrightarrow$ b. $\longrightarrow$ d.

b)

c. $\longrightarrow$ b. $\longrightarrow$ d. $\longrightarrow$ a.

c)

c. $\longrightarrow$ b. $\longrightarrow$ a. $\longrightarrow$ d.

d)

c. $\longrightarrow$ d. $\longrightarrow$ a. $\longrightarrow$ b.

27.

Determine whether $f\left(x\right)=5x^2$ is even, odd or neither.

a)

Neither

b)

Even

c)

Odd and Even

d)

Odd

28.

Find the remainder of $h\left(x\right)=2x^3+5x^2-2x+1$ when it is divided by $x-1$ .
*use remainder theorem

a)

3

b)

6

c)

-3

d)

-6

29.

$5^3\times5^{12}$ is equal to

a)

$5^{\left(3+12\right)}$

b)

$5^3+5^{12}$

c)

$5^{\left(3\times12\right)}$

d)

$25^{\left(3+12\right)}$

30.

Which of the following law of exponent is correct?

a)

$\frac{a}{b^n}=\left(\frac{a}{b}\right)^n$

b)

$\left(a+b\right)^m=a^m+a^n$

c)

$a^{-n}=\left(\frac{1}{a}\right)^n$

d)

a^m\div a^n=a^{\left(m-n\right)}

31.

Which one is use the correct law of logarithms?

a)

$\log_a\left(m+n\right)+\log_an=\log_a\left(mn+n^2\right)$

b)

$\log_a\left(m+n\right)-\log_an=\frac{\log_a\left(m+n\right)}{\log_an}$

c)

$\log_a\left(m+n\right)^n=\log_an\left(m+n\right)$

d)

$\log_a\left(m+n\right)=\frac{\log_ba}{\log_b\left(m+n\right)}$

32.

Which of the following is the graph of $y=x^2$ ?

a)

b)

c)

d)

33.

What will you do if we add 3 to $f\left(x\right)$ i.e. $\left(y=f\left(x\right)+3\right)$ ?

a)

Translate the graph to the left for 3 units

b)

Translate the graph down to 3 units

c)

Translate the graph to the right for 3 units

d)

Translate the graph up to 3 units

34.

What are the methods that is used to solve simultaneous linear equations in 3 variables?

a)

Substitution method

b)

Elimination method and substitution method

c)

Elimination method

d)

None of the answer stated

35.

In solving system of inequality, if “ $\le$ “ or “ $\ge$ “, then the line is a

a)

Dotted line

b)

Curve line

c)

Soft line

d)

Solid line

36.

Which quadrants are the answer of $\tan\theta$ is positive?

a)

Quadrant 1 & 4

b)

Quadrant 1 & 3

c)

Quadrant 2 & 4

d)

Quadrant 3 & 4

37.

Choose the first suitable identity that will be used to solve $5\sin x+\cos2x=-2.$

a)

$\sin^2x+\cos^2x=1$

b)

$\cos2x=1-2\sin^2x$

c)

$\sin2x=2\sin x\cos x$

d)

$\cos2x=2\cos^2x-1$

38.

If $\cos x=-\frac{3}{5}$ and $0\le x\le180$ , find the value of $\sin x$ .

a)

$-\frac{4}{5}$

b)

$\frac{5}{3}$

c)

$\frac{4}{5}$

d)

$\frac{3}{4}$

39.

State the amplitude and period of $y=-2\sin4x$ .

a)

Amplitude $=-2$ ; Period $\frac{\pi}{2}$

b)

Amplitude $=2$ ; Period $=\frac{\pi}{2}$

c)

Amplitude $=2$ ; Period $=-\frac{\pi}{2}$

d)

Amplitude $=2$ ; Period $=\frac{\pi}{4}$

40.

The graph above represents the graph of

a)

$\sin x$

b)

$\cos x$

c)

$\tan x$

d)

$\operatorname{cosec}x$

41.

If QR=7cm, what is the suitable rule to use to find the length of RS?

a)

Heron’s formula

b)

Cosine rule

c)

Sine rule

d)

Formula of area

42.

Which rule can be use to find the angle at P?

a)

Heron’s formula

b)

Cosine rule

c)

Sine rule

d)

Formula of area

43.

Area of triangle ABC is $81cm^2$ . Which one is suitable to use to find the value of p?

a)

Heron’s formula

b)

Sine rule

c)

Cosine rule

d)

Formula of area

44.

Change 80 degree into radian.

a)

$\frac{2}{3}\pi$ rad

b)

1.4536 rad

c)

1.2923 rad

d)

$\frac{4}{9}\pi$ rad

45.

What is the value of 2.3 rad in degree?

a)

131.78 degree

b)

130.78 degree

c)

131.60 degree

d)

130.60 degree

MAT133

Total questions: 45

Worksheet time: 13mins

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