G10 T3 AY2425 - ETA Review

measures of central tendency

measures of central tendency

• Mean: Average of the data set

• Median: Middlemost value when the data is in order

• Mode: Element that occurs the most

Math Response

What is the mean of the data set?

Type answer here

Correct Answer: 7

Deg^°

Rad

Math Response

What is the median of the data set?

Type answer here

Correct Answer: 7

Deg^°

Rad

Math Response

What is the mode of the data set?

Type answer here

Correct Answer: 8

Deg^°

Rad

measures of position

mEASURES OF POSITION

Percentiles
- 100 equal parts

Deciles
- 10 equal parts

Quartiles
- 4 equal parts

Multiple Choice

In a standardized test, Jacob’s score is in the 70th percentile while Julia is in the 3rd quartile. Who did better in the test?

• Jacob

• Julia

• Cannot be determined

• It doesn’t matter, both of them passed.

Multiple Choice

In the recent UPCAT results, Jennie’s score is at the 80th percentile. Which of the following best describe his performance?

• Jennie answered the test 80% correctly.

• If the passing rate is 75%, Jennie passed the test.

• 20% of the test takers got an equal or lower score than Jennie.

• 20% of the test takers got a higher score than Jennie.

Fill in the Blanks

Solution:

BASIC CONCEPTS OF CIRCLE

Multiple Choice

Tell whether each statement is true or false

Every diameter is a chord.

• TRUE

• FALSE

Multiple Choice

Tell whether each statement is true or false

All radii of a circle are congruent.

• TRUE

• FALSE

Multiple Choice

Tell whether each statement is true or false

The endpoints of a radius are points on the circle.

• TRUE

• FALSE

Multiple Choice

Tell whether each statement is true or false

There exists a tangent that is also a secant.

• TRUE

• FALSE

arc measures, central, and inscribed angles

Math Response

If PQ = 5 and VS = 12, what is QS?

Type answer here

Correct Answer: 13

Deg^°

Rad

Solution:

Math Response

If QV = VS, then what is the measure of angle VSQ?

Type answer here

Correct Answer: 45

Deg^°

Rad

Math Response

If m∠VQS = 50, then m∠VSQ is ___?

Type answer here

Correct Answer: 40

Deg^°

Rad

Math Response

If m∠VQS = 45, and VQ = 7, then what is VS?

Type answer here

Correct Answer: 7

Deg^°

Rad

properties of tangents

Math Response

If PQ = 3x, SQ = 5x-8, and OS = x+1,

what is x?

Type answer here

Correct Answer: 4

Deg^°

Rad

Solution:

Math Response

If PQ = 3x, SQ = 5x-8, and OS = x+1,

what is PQ?

Type answer here

Correct Answer: 12

Deg^°

Rad

Solution:

Math Response

If PQ = 3x, SQ = 5x-8, and OS = x+1,

what is SQ?

Type answer here

Correct Answer: 12

Deg^°

Rad

Math Response

If PQ = 3x, SQ = 5x-8, and OS = x+1,

what is OS?

Type answer here

Correct Answer: 5

Deg^°

Rad

Solution:

Math Response

If PQ = 3x, SQ = 5x-8, and OS = x+1,

what is OQ?

Type answer here

Correct Answer: 13

Deg^°

Rad

Solution:

ANGLES FORMED BY CTS

ANGLES FORMED BY CTS

• On a circle: Half the measure of intercepted arc

• Inside a circle: Half the sum of the measure of its intercepted arc

• Outside a circle: Half the difference of the measure of its intercepted arc

ANGLES FORMED BY CTS

Multiple Choice

Given that segments AB and AC are tangents to Circle D and m∠BEC=70,

what is Arc BEC?

• 140

• 180

• 220

• 300

Solution:

Multiple Choice

Given that segments AB and AC are tangents to Circle D and m∠BEC=70,

what is m∠BAC?

• 220

• 140

• 80

• 40

Solution:

SEGMENT LENGTHS

SEGMENT LENGTHS

Multiple Choice

If SW = 3x, WU = x, TW = 25, and WV = 12, find WU

• 8

• 9

• 10

• 12

Solution:

Multiple Choice

If SW = 3x, WU = x, TW = 25, and WV = 12, find SU.

• 30

• 40

• 50

• 300

Solution:

Multiple Choice

If SY = 8, YZ = x, and ZR = 12, find YZ.

• 2

• 4

• 8

• 16

Solution:

Multiple Choice

Solve for FE

• 8

• 10

• 12

• 14

Solution:

Multiple Choice

Solve for GF

• 4

• 8

• 12

• 32

Solution:

PROVING WITH CIRCLES

Drag and Drop

Complete the proof.
Given: Chords CD and AB intersect at point E.

Prove: EA∙EB=EC∙ED



1.​

Placeholder

2.​

Placeholder

3.​ ​

Placeholder

4. ​​

Placeholder

5.​

Placeholder

Drag these tiles and drop them in the correct blank above

Option C

Option D

Option E

Option B

Option A

COORDINATE GEOMETRY &
EQUATION OF CIRCLE

COORDINATE GEOMETRY & EQUATION OF CIRCLES

Solution:

Math Response

What is the length of a segment if its endpoints are
(6, -1) and (1, -1)?

Type answer here

Correct Answer: 5

Deg^°

Rad

Solution:

Math Response

Find the equation of a circle given the coordinates of its center and its radius.

$$r=12\ ;\ C\left(8,3\right)$$

Type answer here

Correct Answer: \left(x-8\right)^2+\left(y-3\right)^2=144

Deg^°

Rad

Multiple Choice

Determine the radius and the coordinates of the center of the given circle.

$$x^2+\left(y+8\right)^2=4$$

• Center: (2, -8), Radius: 4
• Center: (0, -6), Radius: 3
• Center: (0, 8), Radius: 2
• Center: (0, -8), Radius: 2

Multiple Choice

What is the center and radius of the circle?

• Center: (3, -5), Radius: 4

• Center: (-5, 3), Radius: 4

• Center: (3, -5), Radius: 2

• Center: (-5, 3), Radius: 2

Math Response

Write the equation of the circle (standard form) passing through (5,5) and whose center is (1,5).

Type answer here

Correct Answer: \left(x-1\right)^2+\left(y-5\right)^2=16

Deg^°

Rad

Solution:

Math Response

Write the equation of the circle (general form) passing through (5,5) and whose center is (1,5).

Type answer here

Correct Answer: x^2+y^2-2x-10y+10=0

Deg^°

Rad

Solution: