Quiz about 3rdQ Periodical Test

Question 1

Which of the following represent the midpoint of the segment whose endpoints are (x₁, y₁) and (x₂, y₂)?

Accepted Answer

$$M\ =\ \left(\frac{x1\ +\ x2}{2}\ ,\ \frac{y1\ +\ y2}{2}\right)$$

Answer

$$m\ =\left(\frac{x1\ -\ x2}{2}\ ,\ \frac{y1\ -\ y2}{2}\right)$$

Answer

$$m\ =\ \left(x1\ +\ y1\ ,\ x2\ +\ y2\right)$$

Answer

$$m\ =\left(\frac{x1\ +\ y1}{2}\ ,\ \frac{x2\ +\ y2}{2}\right)$$

Question 2

The point that divides the given line segment into two equal parts; the point that bisects the line.

Accepted Answer

Midpoint of the line segment

Answer

Endpoint of the line segment

Answer

Intersection of the line segment

Answer

Vertex of the line segment

Question 3

Find the distance between each pair of points.

(5,9) and (-7,-7)

Accepted Answer

20

Answer

15

Answer

25

Answer

30

Question 4

Find the midpoint of the line segment with the given endpoints.

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

Accepted Answer

(-3, 3)

Answer

(-4, 4)

Answer

(-2, 4)

Answer

(-3, 2)

Question 5

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

Accepted Answer

(5, -3)

Answer

(8, -6)

Answer

(4, -2)

Answer

(6, -4)

Question 6

Which of the following points is the midpoint of (1, 2) and (3, 4)?

Accepted Answer

(2, 3)

Answer

(3, 2)

Answer

(4, 1)

Answer

(1, 4)

Question 7

Calculate the distance between the points (0, 0) and (6, 8).

Accepted Answer

10

Answer

12

Answer

8

Answer

6

Question 8

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

Accepted Answer

2

Answer

1

Answer

5

Answer

3

Question 9

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

Accepted Answer

(3, 2)

Answer

(2, 3)

Answer

(4, 2)

Answer

(3, 4)

Question 10

What is the center of a circle with equation (x-4)² + y² = 5?

Accepted Answer

(4, 0)

Answer

(4, 5)

Answer

(2, 2)

Answer

(0, 0)

Question 11

Determine the center and radius: x²+ y²+ 14x - 2y = -1

Accepted Answer

Center: (-7, 1), Radius: 7

Answer

Center: (-6, 2), Radius: 8

Answer

Center: (-5, -1), Radius: 10

Answer

Center: (0, 0), Radius: 5

Question 12

Convert the equation of the circle from general to standard form.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 13

All of the following are equations of a circle except.

Accepted Answer

x + y = 0

Answer

x² + y² = 9

Answer

x² + y²= 80

Answer

x² + y²= 36

Question 14

How many ways ways can you arrange the letters in the word LOVE?

Accepted Answer

24

Answer

36

Answer

48

Answer

12

Question 15

An ordered arrangement of all parts of the set of the objects is called ________

Accepted Answer

permutation

Answer

selection

Answer

arrangement

Answer

combination

Question 16

It is denoted by n!

Accepted Answer

Factorial

Answer

Permutation

Answer

Combination

Answer

Exponentiation

Question 17

The number of permutations of n objects taken r at a time is determined by the formula:

Accepted Answer

P(n, r) = n! / (n - r)!

Answer

nPr = n!

Answer

nPr = ( n - 1 )!

Answer

$$P\ =\ \frac{n!}{r!}$$

Question 18

It refers to the permutations of a set of objects were some of them are alike.

Accepted Answer

Distinguishable permutation

Answer

Circular permutation

Answer

Permutation taken all at a time

Answer

Permutation taken r at a time

Question 19

It refers to the number of arrangements of items in a circle when the order of items matters.

Accepted Answer

Circular permutation

Answer

Distinguishable Permutation

Answer

Permutation of objects taken all at a time

Answer

Permutation of objects taken r at a time

Question 20

In which situation circular permutation can be applied?

Accepted Answer

When arranging objects in a circle.

Answer

When arranging objects in a line.

Answer

When selecting items from a set.

Answer

When stacking objects on top of each other.

Question 21

The following are ways to expressed 4! except .

Accepted Answer

4 x 3 x 2 x 1 x 0

Answer

4 x 3!

Answer

4 x 3 x 2!

Answer

$$4\ \cdot\ 3\ \cdot\ 2\ \cdot\ 1$$

Question 22

Evaluate $$\frac{8!}{6!}$$

Accepted Answer

56

Answer

48

Answer

72

Answer

64

Question 23

Peter wants to determine the number of ways he can arrange the letters of his name. Which of the following expressions must he consider?

Accepted Answer

5! / 2!

Answer

5!

Answer

6! / 2!

Answer

4!

Question 24

In how many ways can 8 people be seated in a row if only 4 chairs are available?

Accepted Answer

1680

Answer

32

Answer

5040

Answer

720

Question 25

Find the number of distinguishable permutations of the letters of the word COMMITTEE.

Accepted Answer

45360

Answer

5040

Answer

12600

Answer

3600

Question 26

Find the number of distinguishable permutations of the letters from the word ACCOMMODATION.

Accepted Answer

129,729,600

Answer

778,377,600

Answer

1,556,755,200

Answer

3,113,510,400

Question 27

. Using the digits 2, 3, 6, 8, and 9, how many 3-digit numbers can be formed if repetition is not ALLOWED?

Accepted Answer

60

Answer

30

Answer

45

Answer

75

Question 28

In how many ways can 5 learners stand in circular to play a game?

Accepted Answer

24

Answer

20

Answer

30

Answer

15

Question 29

Which from the following situations illustrates permutation?

Accepted Answer

Arranging books on a shelf.

Answer

Picking a restaurant for dinner.

Answer

Selecting a movie for movie night.

Answer

Choosing a team captain.

Question 30

Which of the following methods is best used when determining the total number of possible outcomes?

Accepted Answer

Fundamental Counting Principle

Answer

Probability

Answer

Combination

Answer

Permutation

Question 31

A dj is choosing his songs for a show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

Accepted Answer

504

Answer

36

Answer

120

Answer

27

3rdQ Periodical Test

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