Free Printable Mathematics Teacher Professional Development

1.

Given the graph of $f\left(x\right)\ =\ \log_2\left(x+1\right)$ , then which of the following is the graph of g(x) = f(x-2)?

a)

b)

c)

d)

2.

What is the typical structure of a problem-based instructional session in mathematics?

a)

Lecture, demonstration, practice

b)

Problem presentation, small group discussion, whole class discussion

c)

Quiz, worksheet, homework assignment

d)

Field trip, project, research report

3.

Which of the following is an advantage of implementing problem-based learning in mathematics?

a)

Promotes student engagement and motivation

b)

Reduces teacher preparation time

c)

Guarantees high test scores

d)

Eliminates the need for textbooks

4.

What is the major role of the teacher in a problem-based learning mathematics classroom?

a)

To provide direct instruction and solve problems for students

b)

To facilitate discussions, guide student learning, and provide support

c)

To grade assignments and give feedback

d)

To assign homework and prepare lesson plans

5.

Which of the following is NOT a goal of problem-based learning in mathematics?

a)

To develop creativity

b)

To promote memorization of facts

c)

To assess students' skills in isolation

d)

To enhance communication and interpersonal skills

6.

Which of the following is a function?

a)

$\left\{(1,\ 2),\ (1,\ 3),\ (3,\ 4)\right\}$

b)

$\left\{(1,2),\ (1,1),\ (1,4)\right\}$

c)

$\left\{(1,\ 2),\ (2,\ 0),\ (3,\ 0)\right\}$

d)

$\left\{(1,\ 2),\ (2,\ 2),\ (2,0)\right\}$

7.

What is the vertical line test for functions?

a)

If any vertical line intersects the graph of the relation more than once, then the relation is not a function.

b)

If any vertical line intersects the graph of the relation at most once, then the relation is a function.

c)

If any vertical line intersects the graph of the relation exactly once, then the relation is a function.

d)

If any vertical line intersects the graph of the relation at least once, then the relation is a function.

8.

What is the inverse of a function?

a)

The function that is obtained by interchanging the domain and codomain of the original function.

b)

The function that is obtained by reversing the order of the elements in the ordered pairs of the original function.

c)

The function that is obtained by adding 1 to each element in the ordered pairs of the original function.

d)

The function that is obtained by subtracting 1 from each element in the ordered pairs of the original function.

9.

What is the degree of the polynomial function $f(x)=3x^4-2x^2+5$ ?

a)

4

b)

3

c)

2

d)

5

10.

What is the end behavior of the polynomial function $q(x)=-4x^4+2x^3-5x^2+3x-1$ ?

a)

As x approaches infinity, $q(x)$ approaches negative infinity; as x approaches negative infinity, q(x) approaches negative infinity.

b)

As x approaches infinity, $q(x)$ approaches positive infinity; as x approaches negative infinity, q(x) approaches negative infinity.

11.

What is the sum of the zeros of the polynomial function $p(x)=x^2-5x+6$ ?

a)

5

b)

6

c)

-6

d)

-5

12.

What is the value of the polynomial function $s(x)=4x^2-2x+3$ when $x=-1$ ?

a)

1

b)

5

c)

9

d)

-1

13.

What is the solution set of the equation $\log_5(x+2)\ +\log_5(x-2)=1$ ?

a)

$\left\{-3,\ 1\right\}$

b)

$\left\{-3,\ 3\right\}$

c)

$\left\{-3\right\}$

d)

$\left\{3\right\}$

14.

The x-intercept for the graph of $y\ =\ \log_5\left(x+2\right)\ +\log_5\left(x-2\right)\ -1$ is

a)

(-3, 0)

b)

(0, -3)

c)

(3, 0)

d)

(0, 3)

15.

What is the period of the function $f\left(x\right)=2\sin(3x)$ ?

a)

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

b)

$2\pi$

c)

$3\pi$

d)

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

16.

Which of the following is the logarithmic form of $y\ =\ 10^x$ ?

a)

$x\ =\log y$

b)

$y=\log x$

c)

$x\ =\ \log\left(10y\right)$

d)

$x=\ \log10$

17.

The value of $\sin\left(\frac{\pi}{6}\right)\ +\ \sec\left(\frac{\pi}{3}\right)=\$ ________?

a)

2

b)

1

c)

2.5

d)

1.5

18.

The father of three children wants to divided Birr 5700 in the ratio of $\frac{1}{3}:\frac{1}{2}:\frac{3}{4}$ .

What are the shares of the children from smallest to the largest amount?

a)

$1,000,\ \ 2,000,\ 2,700\$

b)

$1,200,\ \ 2,000,\ \ 2,500$

c)

$1,200,\ \ 1,800,\ \ 2,700$

d)

$1,400,\ \ 1,800,\ \ \ 2,500$

19.

The upper sum of the function

$f\left(x\right)=7-x$

on the interval $\left[0,\ 8\right]$ divided into four regular sub-intervals is __________.

a)

$16$

b)

32

c)

15

d)

30

20.

In which quadrant does the terminal side of angle $-\ 810\$ degrees belong?

a)

First

b)

Second

c)

Third

d)

Fourth

21.

Which one of the following is a simple random sampling?

a)

Selecting a group randomly from groups formed by dividing the population.

b)

Selecting six students from grade 9 students at the same school randomly.

c)

First divide the population into homogeneous groups and a sample is selected from each group.

d)

First divide a city into four groups and choose 12 students from the randomly selected two groups.

22.

Which one of the following is minimum value of the following linear programming problem?

Minimize: $Z\ =\ 3x+y$

Subject to :

$y\ge-x+4\ ,$

$y\ge5x-20,\$

$x\ge1\ ,\ x\le5$

a)

8

b)

4

c)

6

d)

12

Mathematics Teacher Professional Development

Total questions: 22

Worksheet time: 1hrs 13mins

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