Question 1

The measure of an exterior angle of a triangle is always ___.

Accepted Answer

greater than either remote interior angle

Answer

less than its adjacent interior angle

Answer

less than either remote interior angle

Answer

greater than its adjacent interior angle

Question 2

Which of the ff. is not an inequality theorem for one triangle?

Accepted Answer

Hinge Theorem

Answer

Triangle Inequality Theorem1 ( $Aa\ \rightarrow\ Ss$

Answer

Angle Inequality Theorem (s₁ + s₂ > s₃)

Answer

Triangle Inequality Theorem 1 ( $Aa\ \rightarrow\ Ss$ )

Question 3

Which of the ff. statement/s is/are true?

Accepted Answer

If in $Aa\ \rightarrow\ Ss$ , a > b, then $\angle A\ >\ \angle B$

Answer

If in $Aa\ \rightarrow\ Ss$ , a > b, then $\angle A\ >\ \angle B$

Answer

If in $Aa\ \rightarrow\ Ss$ ,a > b, then $\angle A\ >\ \angle B$

Answer

If in $Aa\ \rightarrow\ Ss$ , a > b, then $\angle A\ >\ \angle B$

Question 4

What is an exterior angle theorem?

Accepted Answer

The exterior angle formed by extending the side of a triangle equals the sum of its non-adjacent angles.

Answer

The exterior angle formed by extending the side of a triangle plus its adjacent angles equals 90°

Answer

The exterior angle formed by extending the side of a triangle equals the measure of its adjacent angle.

Answer

The measure of the angle of a triangle equals 180 °.

Question 5

Given the lengths of the sides of a triangle. Identify the largest angle. : AB= 15, BC = 8 and AC = 12.

Accepted Answer

<math>\angle C</math>

Answer

<math>\angle D</math>

Answer

<math>\angle B</math>

Answer

<math>\angle A</math>

Question 6

Given the angles of a triangle. Identify the shortest side. $Aa\ \rightarrow\ Ss$ : $\angle A\ >\ \angle B$ , $m\angle A\ =\ 20$ and $m\angle B\ =\ 103$ .

Accepted Answer

BC

Answer

AC

Answer

AB

Answer

AD

Question 7

In the given figure, list the angles that measures from greatest to least.

Accepted Answer

<math>\angle Q\ ,\ \angle R\ ,\ \angle P</math>

Answer

<math>\angle Q\ ,\ \angle P\ ,\ \angle R</math>

Answer

<math>\angle R\ ,\ \angle P\ ,\ \angle Q</math>

Answer

<math>\angle P\ ,\ \angle Q\ ,\ \angle R</math>

Question 8

Which of these measures cannot be sides of a triangle?

Accepted Answer

6 cm, 6 cm, 12 cm

Answer

7 cm, 8 cm, 9 cm

Answer

7 cm, 7 cm, 9 cm

Answer

8 cm, 9 cm, 12 cm

Question 9

Choose the appropriate reason to each given statement.

Given: HO $\cong$ EP , $\angle OHP\ >\ \angle EPH$

Prove: OP > EH

Accepted Answer

Given

Answer

Converse of the Hinge Theorem

Answer

RPC

Answer

Hinge Theorem

Question 10

Choose the appropriate reason to each given statement.

Given: HO $\cong$ EP, $\angle OHP\ >\ \angle EPH$

Prove: OP > EH

Accepted Answer

RPC

Answer

Converse of Hinge Theorem

Answer

Given

Answer

Hinge Theorem

Question 11

Choose the appropriate reason to each given statement.

Given: HO $\cong$ EP, $\angle OHP\ >\ \angle EPH$

Prove: OP > EH

Accepted Answer

Given

Answer

Hinge Theorem

Answer

RPC

Answer

Converse of Hinge Theorem

Question 12

Choose the appropriate reason to each given statement.

Given: HO $\cong$ EP, $\angle OHP\ >\ \angle EPH$

Prove: OP > EH

Accepted Answer

Hinge Theorem

Answer

Given

Answer

RPC

Answer

Converse of Hinge Theorem

Question 13

In the figure $Aa\ \rightarrow\ Ss$ and t is a transversal. Which of the ff. are corresponding angles?

Accepted Answer

<math>\angle2\ and\ \angle6\ ,\ \angle1\ and\ \angle5</math>

Answer

<math>\angle4\ and\ \angle5\ ,\ \angle3\ and\ \angle6</math>

Answer

<math>\angle1\ and\ \angle7\ ,\ \angle2\ and\ \angle8</math>

Answer

<math>\angle4\ and\ \angle6\ ,\ \angle3\ and\ \angle5</math>

Question 14

Using the given figure, if $Aa\ \rightarrow\ Ss$ ,what is the measure of $\angle A\ >\ \angle B$ ?

Accepted Answer

85

Answer

275

Answer

95

Answer

5

Question 15

Using the given figure, which of the ff. is true about the measures of $Aa\ \rightarrow\ Ss$ ?

Accepted Answer

<math>m\angle4\ =\ m\angle6</math>

Answer

<math>m\angle4\ <\ m\angle6</math>

Answer

<math>m\angle4\ +\ m\angle6\ =\ 180</math>

Answer

<math>m\angle4\ \ >\ m\angle6</math>

Question 16

Which of the ff. pair of angles are supplementary when two lines are parallel and cut by a transversal?

Accepted Answer

same side exterior angles

Answer

corresponding angles

Answer

alternate exterior angles

Answer

alternate interior angles

Question 17

These are two non -adjacent exterior angles on the opposite side of the transversal.

Accepted Answer

alternate exterior angles

Answer

corresponding angles

Answer

same side exterior angles

Answer

alternate interior angles

Question 18

These are two non-adjacent exterior angles on the same side of the transversal.

Accepted Answer

same side exterior angles

Answer

alternate interior angles

Answer

alternate exterior angles

Answer

corresponding angles

Question 19

Given: $Aa\ \rightarrow\ Ss$ and $\angle A\ >\ \angle B$ , find x if the two angles are same side interior angles.

Accepted Answer

x = 40

Answer

x = 10

Answer

x = 50

Answer

x = 30

Question 20

Lines m and n are parallel cut by transversal t which is also perpendicular to m and n. Which

statement is NOT correct?

Accepted Answer

$\angle C$ form a linear pair.

Answer

$\angle C$ are congruent

Answer

$\angle C$ are supplementary.

Answer

$\angle C$ are congruent.

Question 21

In the given figure, which of the ff. guarantees that m II n?

Accepted Answer

<math>\angle3\ \cong\ \angle6</math>

Answer

<math>\angle1\ \cong\ \angle6</math>

Answer

<math>\angle4\ \cong\ \angle7</math>

Answer

<math>\angle1\ \cong\ \angle7</math>

Question 22

Lines p and q are cut by transversal r. Find the value of x that makes p ll q if $Aa\ \rightarrow\ Ss$ and $\angle A\ >\ \angle B$ .

Accepted Answer

4

Answer

7

Answer

1

Answer

8

Question 23

Lines p and q are cut by transversal r. p ll q if:

Accepted Answer

<math>\angle1\ \cong\ \angle8</math>

Answer

<math>\angle1\ \cong\ \angle6</math>

Answer

<math>\angle1\ \cong\ \angle2</math>

Answer

<math>\angle1\ \cong\ \angle4</math>

Question 24

If $Aa\ \rightarrow\ Ss$ , which lines are parallel?

Accepted Answer

a II b

Answer

b II c

Answer

a II c

Answer

c II d

Question 25

If $Aa\ \rightarrow\ Ss$ is a right angle, which lines are perpendicular?

Accepted Answer

Answer

Answer

Answer

Question 26

In the figure, a ll d with e as the transversal. What must be true about $\angle A\ >\ \angle B$ if b ll c with e, also as the transversal?

Accepted Answer

$Aa\ \rightarrow\ Ss$ is congruent to $\angle A\ >\ \angle B$

Answer

$\angle C$ is greater than $\cong$

Answer

$\angle C$ is the complement of $\cong$

Answer

$\angle C$ is the supplement of $\cong$

Question 27

It is any set of one or more outcomes satisfying some given conditions.

Accepted Answer

Sample Space

Answer

Outcome

Answer

Event

Answer

Probability

Question 28

Tossing a coin once.

Accepted Answer

Experiment

Answer

Event

Answer

Probability

Answer

Sample Space

Question 29

True and False.

Accepted Answer

Sample space

Answer

Event

Answer

Probability

Answer

Experiment

Question 30

Getting an even number in rolling a die once.

Accepted Answer

Event

Answer

Sample Space

Answer

Experiment

Answer

Probability

Question 31

Francis rolled three dice simultaneously. Find the total number of possible outcomes.

Accepted Answer

216

Answer

12

Answer

18

Answer

36

Question 32

A rainbow spinning wheel was spun twice. Find the total number of possible outcomes.

Accepted Answer

49

Answer

14

Answer

34

Answer

21

Question 33

Johny will take a multiple test made up of 5 questions. Each question has 4 possible answers. How many different ways are there to answer the test (assuming you don’t leave a question blank)?

Accepted Answer

1,024

Answer

20

Answer

256

Answer

625

Question 34

Nicole has a bookshelf. How many different ways could she placed the 3 books in Math, 4 books in Science and 2 books in Literature?

Accepted Answer

24

Answer

9

Answer

16

Answer

36

Question 35

Which shows the sample space for flipping two coins? (using H for heads and T for tails)

Accepted Answer

S = {HH , TT , HT , TH}

Answer

S = {HH , TT}

Answer

S = {HT , TH}

Answer

S = {H , T}

Question 36

Suppose you toss three fair coins once; how many possible outcomes are there?

Accepted Answer

8

Answer

6

Answer

3

Answer

9

Question 37

From a deck of 52 cards, what is the probability of getting a red card?

Accepted Answer

1/2

Answer

1/26

Answer

1/13

Answer

1/4

Question 38

Finding a man who can run 200km per second is a/an ______ to happen.

Accepted Answer

impossible

Answer

unlikely

Answer

certain

Answer

likely

Question 39

According to the probability rules, if an event will never happen, then its probability is ___.

Accepted Answer

0

Answer

0.25

Answer

0.50

Answer

1

Question 40

According to the probability rules, if an event is sure to happen, then its probability is ___.

Accepted Answer

1

Answer

0.25

Answer

0.50

Answer

0

Question 41

Drawing a red ball from a bag containing 5 red balls is ______ to happen.

Accepted Answer

certain

Answer

likely

Answer

unlikely

Answer

impossible

Question 42

In rolling two dice, what is the probability of getting a sum of at most three?

Accepted Answer

Answer

Answer

Answer

Question 43

Mr. Martin asked his students to do an activity. Afterwards, his students noticed that the experimental probability of tossing heads is 54 % while the theoretical probability is 50 %. Being an attentive student, how would you explain this to your classmates?

Accepted Answer

It is normal for experimental probabilities to differ from the theoretical probabilities for a large number of trials, the two will be very close.

Answer

The experimental probability is wrong.

Answer

It is abnormal for the experimental probabilities to differ from theoretical probabilities because the results must be the same.

Answer

We should toss the coin as high as possible to get a reliable result.

Question 44

A spinner with three equal divisions was spun 1000 times. The following information was recorded. What is the probability of the spinner landing on RED?

Accepted Answer

27%

Answer

73%

Answer

45%

Answer

29%

Question 45

Which of these numbers cannot be a probability?

Accepted Answer

1.001

Answer

0

Answer

20%

Answer

0.5

Question 46

Refer to the data below. Find the probability of getting a Head based from experimental probability.

Accepted Answer

Answer

55 %

Answer

Answer

61 %

Question 47

In 30 trials, violet occurs 3 times. Find the probability of getting a color Violet based from experimental probability.

Accepted Answer

Answer

Answer

Answer

Question 48

Refer to the data below. Find the probability of getting an odd number based from experimental probability.

Accepted Answer

Answer

Answer

Answer

Question 49

In a 500-ticket draw for an educational prize, Ana’s name was written on 41 tickets. What is the probability that she would win?

Accepted Answer

0.082

Answer

0.82

Answer

0.122

Answer

0.41

Question 50

A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white?

Accepted Answer

Answer

Answer

Answer

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