Free Printable 3rdQ Periodical Test

1.

Which of the following represents the Distance formula?

a)

d = √((x2 - x1)² + (y2 - y1)²)

b)

d = (x2 - x1) + (y2 - y1)

c)

d = √((x1 + x2)² + (y1 + y2)²)

d)

d = |x2 - x1| + |y2 - y1|

2.

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

a)

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

b)

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

c)

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

d)

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

3.

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

a)

Endpoint of the line segment

b)

Intersection of the line segment

c)

Midpoint of the line segment

d)

Vertex of the line segment

4.

Find the distance between each pair of points.

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

a)

15

b)

25

c)

30

d)

20

5.

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

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

a)

(-4, 4)

b)

(-2, 4)

c)

(-3, 2)

d)

(-3, 3)

6.

Find the distance between each pair of points.

(-10,-7) and (-8,-1)

a)

√20

b)

4√5

c)

2√10

d)

3√10

7.

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

a)

(8, -6)

b)

(4, -2)

c)

(6, -4)

d)

(5, -3)

8.

What is the distance between the points (2, 3) and (4, 7)?

a)

4

b)

5

c)

2√5

d)

√20

9.

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

a)

(3, 2)

b)

(4, 1)

c)

(1, 4)

d)

(2, 3)

10.

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

a)

10

b)

12

c)

8

d)

6

11.

Which of the following equations of a circle is not in center-radius form?

a)

(x + 1)² + (y - 4)² = 9

b)

(x - 3)² + (y + 2)² = 16

c)

x² + y² = 25

d)

x² + y² + Dx + Ey + F = 0

12.

What is the center, and the radius of the equation of the circle (x – 1)² + (y – 2)² = 36?

a)

Center: (2, 2), Radius: 4

b)

Center: (1, 1), Radius: 8

c)

Center: (1, 2), Radius: 6

d)

Center: (0, 0), Radius: 5

13.

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

a)

(x - 7)² + y² = 9

b)

(x - 7)² + y² = 6

c)

(x - 7)² + (y - 3)² = 9

d)

(x + 7)² + y² = 9

14.

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

a)

1

b)

5

c)

3

d)

2

15.

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

a)

(3, 2)

b)

(2, 3)

c)

(4, 2)

d)

(3, 4)

16.

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

a)

(4, 5)

b)

(2, 2)

c)

(4, 0)

d)

(0, 0)

17.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x - 3)^2 + (y + 6)^2 = 20

b)

(x + 5)^2 + (y - 4)^2 = 30

c)

(x + 3)^2 + (y + 6)^2 = 15

d)

(x + 3)^2 + (y - 6)^2 = 25

18.

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

a)

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

b)

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

c)

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

d)

Center: (0, 0), Radius: 5

19.

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

a)

(x - 2)² + (y + 3)² = 64

b)

(x + 4)² + (y + 2)² = 25

c)

(x + 2)² + (y + 3)² = 49

d)

(x - 2)² + (y - 3)² = 36

20.

Convert the equation of the circle from standard to general.

a)

x² + y² + 28x + 3y + 199 = 0

b)

x² + y² + 26x + 5y + 198 = 0

c)

x² + y² + 28x + 4y + 199 = 0

d)

x² + y² + 30x + 6y + 200 = 0

21.

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

a)

A

b)

B

c)

C

d)

D

22.

What is the center-radius form of a circle whose center is at (0, 16) and a radius of √43 units?

a)

x² + (y - 16)² = 43

b)

(x + 0)² + (y - 16)² = 42

c)

x² + (y - 16)² = 44

d)

(x - 0)² + (y + 16)² = 43

23.

Which of the following is the equation of a circle whose center is at (0, 0) and radius is 27 units?

a)

x² + y² = 729

b)

x² + y² = 7290

c)

x² + y² = 27

d)

(x - 27)² + (y - 27)² = 729

24.

Which is true about (x – 11)² + (y + 2)² = 400?

i. Its center is at (11, -2).

ii. It is an equation of a circle in general form.

a)

i

b)

ii

c)

both

d)

none of the above

25.

Which of the following is the equation of a circle whose center is at (0, -10) and radius is √2

units?

a)

x² + (y - 10)² = 2

b)

x² + (y + 10)² = 2

c)

(x - 1)² + (y + 10)² = 2

d)

x² + y² = 100

26.

Which equation of a circle has a center at (12, 0)?

a)

(x + 12)² + y² = r²

b)

(x - 12)² + (y - 5)² = r²

c)

(x + 5)² + y² = r²

d)

(x - 12)² + y² = r²

27.

Which is true about (x – h)² + (y – k)² = r²?

i. It is an equation of a circle in general form.

ii. It is an equation of a circle in standard form.

a)

i

b)

ii

c)

both

d)

none of the above

28.

Which of the following is an example of an equation of a circle?

a)

y = 8x – 1

b)

y = 2x + 3

c)

6x + y – 24 = 0

d)

(x - 3)² + (y + 2)² = 16

29.

Which of the following is the radius of the equation (x – 3)² + (y – 14)² = 25?

a)

5

b)

15

c)

25

d)

625

30.

All of the following are equations of a circle except.

a)

x + y = 0

b)

x² + y² = 9

c)

x² + y²= 80

d)

x² + y²= 36

31.

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

a)

36

b)

48

c)

24

d)

12

32.

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

a)

permutation

b)

selection

c)

arrangement

d)

combination

33.

It is denoted by n!

a)

Permutation

b)

Combination

c)

Exponentiation

d)

Factorial

34.

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

a)

nPr = n!

b)

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

c)

nPr = ( n - 1 )!

d)

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

35.

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

a)

Circular permutation

b)

Distinguishable permutation

c)

Permutation taken all at a time

d)

Permutation taken r at a time

36.

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

a)

Circular permutation

b)

Distinguishable Permutation

c)

Permutation of objects taken all at a time

d)

Permutation of objects taken r at a time

37.

If the problem says “find how many ways can be arranged/ lined-up/made… which of the following illustrates the problem?

a)

Arrangement

b)

Combination

c)

Permutation

d)

Probability

38.

In which situation circular permutation can be applied?

a)

When arranging objects in a line.

b)

When selecting items from a set.

c)

When stacking objects on top of each other.

d)

When arranging objects in a circle.

39.

The following are ways to expressed 4! except .

a)

4 x 3!

b)

4 x 3 x 2!

c)

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

d)

4 x 3 x 2 x 1 x 0

40.

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

a)

48

b)

72

c)

64

d)

56

41.

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

a)

5!

b)

6! / 2!

c)

5! / 2!

d)

4!

42.

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

a)

32

b)

1680

c)

5040

d)

720

43.

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

a)

5040

b)

12600

c)

3600

d)

45360

44.

Mark and Jayson are asked to solve for the number of ways the letter of the word “MATH” be

arranged. Mark’s answer is 24, while Jayson’s answer is 4. Which of the following is true?

a)

Mark got the correct answer.

b)

Jayson got the correct answer.

c)

Both got the correct answer.

d)

Neither of them got the correct answer.

45.

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

a)

129,729,600

b)

778,377,600

c)

1,556,755,200

d)

3,113,510,400

46.

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

a)

30

b)

45

c)

75

d)

60

47.

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

a)

20

b)

30

c)

15

d)

24

48.

Which from the following situations illustrates permutation?

a)

Arranging books on a shelf.

b)

Picking a restaurant for dinner.

c)

Selecting a movie for movie night.

d)

Choosing a team captain.

49.

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

a)

Fundamental Counting Principle

b)

Probability

c)

Combination

d)

Permutation

50.

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?

a)

504

b)

36

c)

120

d)

27

3rdQ Periodical Test

Total questions: 50

Worksheet time: 2hrs 23mins

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