Worksheetsgrade 8 4th quarter
Total questions: 55
Worksheet time: 54mins
Which theorem states that if one side of a triangle is longer than a second side, then the angle opposite the first side is larger than the angle opposite the second side?
Triangle Inequality Theorem
Angle-Side Relationship Theorem
Exterior Angle Inequality Theorem
Hinge Theorem or SAS Inequality Theorem
In Triangle Inequality Theorem, which of the following describes the relationship of the sum of its two sides to its third length?
greater than
greater than or equal to
less than
less than or equal to
Which of the following theorems on triangle inequalities states that the measure of an exterior angle of a triangle is greater than the measure of either remote interior angle?
Triangle Inequality Theorem
Angle-Side Relationship Theorem
Exterior Angle Inequality Theorem
Hinge Theorem or SAS Inequality Theorem
Which of the following theorems deals with the two triangles whose two corresponding sides are congruent and whose included angle are unequal?
SAS Inequality Theorem
SSS Inequality Theorem
Angle-Side Relationship Theorem
Exterior Nagle Inequality Theorem
Which of the following statements is FALSE?
Any lengths of the sides can be used to form a triangle.
The largest angle of a triangle is opposite to the longest side.
The smallest side of a triangle is opposite to the smallest angle.
The sum of any two sides of a triangle is greater than the third side.
If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the first triangle is larger than the included angle of the second. Which of the following theorems pertains to two triangles whose two corresponding sides are congruent and whose third sides are unequal?
Triangle Inequality Theorem
Exterior Angle Inequality Theorem
Hinge Theorem or SAS Inequality Theorem
Converse of Hinge Theorem
Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal?
Corresponding angles are congruent.
The vertical angles are always acute.
The sum of the measures of alternate interior angles is 180°.
Interior angles on the same side of the transversal are congruent.
Given two parallel lines cut by a transversal, then a pair of alternate interior angles are ___.
complementary
parallel
congruent
perpendicular
Which is referred to as the set of some outcomes of an experiment?
Event
Outcomes
Sample Point
Sample Space
Suppose you toss a coin once, how many possible outcomes are there?
1
2
3
4
Ana flipped a coin once. Which set contains the possible outcomes?
𝑆 = {𝐻, 𝑇}
𝑆 = {(𝐻, 𝐻), (𝑇, )}
𝑆 = {(𝐻, 𝐻), (𝐻, ), (𝑇, 𝐻)}
𝑆 = {(𝐻, 𝐻), (𝐻, 𝑇 ), (𝑇, 𝐻), (𝑇, 𝑇)}
Which of the following is NOT an experiment?
rolling a die twice
drawing a card from a deck of cards
a queen of hearts
flipping a coin thrice
Which of the following statements is true?
Rolling a die once has 7 possible outcomes.
Tossing two fair coins once has 6 possible outcomes.
In a True or False test, there are four possible answers.
In a standard deck of 52 playing cards, there is one Jack of spade.
A newlywed couple plans to have 3 children of their own. Here is the list of possible genders of their children: {BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}. How do we call this method of counting the number of occurrences of the genders of their would-be children?
Fundamental Counting Principle
Systematic listing
Tabular
Tree diagram
What technique of counting possible outcomes is illustrated below?
Fundamental Counting Principle
Systematic listing
Tabular
Tree diagram
Which is referred to as an activity involving chance that can have different results?
Event
Experiment
Sample Point
Sample Space
What do you call the set of all possible outcomes of an experiment?
Event
Experiment
Sample Point
Sample Space
Which is referred to as the results of an experiment?
Events
Outcomes
Sample Points
Sample Spaces
In the word EXPERIMENT, how many vowel letter/s is/are there?
1
2
3
4
What do you call an event that can happen in a unique way?
Complementary Event
Dependent Event
Independent Event
Simple Event
Which of the following could NOT be used as the length of the sides of a triangle?
3, 3, 3
4, 5, 10
5, 7, 9
10, 20, 20
Which side of ∆TWO is the longest?
WT
OW
OT
Cannot be determined
Which side of ∆TWO is the shortest?
WT
OW
OT
Cannot be determined
In ∆ 𝑁𝐸𝑇, 𝑁𝐸̅̅̅̅ = 14 cm, 𝐸𝑇̅̅̅̅ = 15 cm, 𝑁𝑇̅̅̅̅ = 16 cm. What is the correct order of the angles when arranged from least to greatest?
∠E, ∠N, ∠T
∠E, ∠T, ∠N
∠T, ∠E, ∠N
∠T, ∠N, ∠E
Given the figure at the right, which of the following angles
is an exterior angle of ∆ DER?
∠3
∠4
∠5
∠6
Which of the following statement about the given figure is true?
∠KIN = ∠DNI
∠KIN > ∠IND
∠DNI > ∠KIN
∠IKN > ∠IND
In ∆ FRY, which of the following shows the correct arrangement
of its sides in descending order?
𝐹𝑌̅̅̅̅, 𝐹𝑅̅̅̅̅, 𝑅𝑌̅̅̅̅
𝐹𝑅̅̅̅̅, 𝑅𝑌̅̅̅̅, 𝐹𝑌̅̅̅̅
𝐹𝑌̅̅̅̅, 𝑅𝑌̅̅̅̅, 𝐹𝑅̅̅̅̅
𝑅𝑌̅̅̅̅, 𝐹𝑅̅̅̅̅, 𝐹𝑌̅̅̅̅
Which of the following lengths in cm are possible measures of the sides of a triangle?
1, 2, 3
4, 5, 10
5, 6, 7
5, 9,15
Given ∆NKE and ∆ICA below, if 𝑚∠𝐾 > 𝑚∠𝐶, using the Hinge Theorem, which could be the conclusion about the given figures?
|𝐸𝑁| > |𝐴𝐼|
|𝐸𝑁| < |𝐴𝐼|
𝑚∠𝐸 < 𝑚∠𝐴
𝑚∠𝑁 < 𝑚∠𝐼
∠1 𝑎𝑛𝑑 ∠8 called _________.
Vertical angles
Corresponding angles
Alternate exterior angles
Alternate interior angles
∠6 𝑎𝑛𝑑 ∠2 are called _________.
Vertical angles
Corresponding angles
Alternate exterior angles
Alternate interior angles
If the 𝑚∠1 = 40°, what is the measure of ∠7?
40°
130°
50°
140°
If □MATH is a rhombus and m∠A = 88o, what is the measure of ∠H
45°
87°
88°
92°
All of the following statements are true EXCEPT ?
∠6 and ∠7 are congruent.
∠1 and ∠7 form a linear pair.
∠5 and ∠2 are congruent angles.
∠5 and ∠6 are supplementary angles.
What could be the measure of ∠6?
55°
75°
115°
125°
A coin is tossed once, and a die is rolled once. Which of the following could not be an outcome?
(H, 6)
(T, 5)
(T, T)
(T, 1)
Which is the sample space when you roll a die once?
𝑆 = {4}
𝑆 = {2, 4, 6}
𝑆 = {1, 2, 3, 5, 6}
𝑆 = {1, 2, 3, 4, 5, 6}
Arlene got coins from her pocket which accidentally rolled on the floor. If there were 4 possible outcomes, how many coins fell on the floor?
1
2
3
4
Carmina has 4 different blouses and 3 different skirts to be worn by a mannequin. In how many ways can she dress the mannequin?
3
6
9
12
How many outfits are possible with 5 pairs of jeans, 8 t-shirts and 2 pairs of shoes?
15
40
80
100
A committee has 4 female and 7 male members. If they randomly elect an officer from among themselves, what is the probability that the elected officer a female?
3/11
4/7
4/11
7/4
A fair die is rolled once. What is the probability of rolling a number that is not 0?
0
1/6
5/6
1
If one letter is chosen at random from the word UNCERTAINTY, what is the probability that the letter chosen is a vowel?
3/11
4/11
8/11
4
consider the situation “A coin is flipped four times.”
How many possible outcomes are there?
4
8
16
32
consider the situation “A coin is flipped four times.”
What is the probability of obtaining 4 heads?
1/32
1/16
1/8
1/4
consider the situation “A coin is flipped four times.”
Which two events have equal probabilities?
4H and 1H
2H and 0H
3H and 1H
3H and 2H
Ruel, Geralyn, Reymond and Shiela were given a 24-inch piece of stick each. They were instructed to create a triangle. Each cut the stick in their own chosen lengths as follows: Ruel - 8 in, 8 in, 8 in; Geralyn - 5 in, 7 in, 12 in; Reymond - 9 in, 7 in, 8 in; and Shiela - 6 in, 8 in, 10 in. Who among them could NOT be able to form a triangle?
Ruel
Shiela
Geralyn
Reymond
Anna was asked by her teacher to find the perimeter of the floor of their classroom with a length of 18 m and a width of 12 m. Is Anna correct when she got a perimeter of 60 m?
No, the perimeter of the floor of the classroom should be 216 m.
Yes, since the floor of the classroom is a quadrilateral.
Yes, since the floor of the classroom is a rectangle.
No, the perimeter should be 30 m.
Alex asked his 40 classmates of their favorite snacks. These are the responses of his classmates; 10 students chose banana cue; 12 chose cassava cake and 18 chose pancakes. If one of his classmates is chosen at random, what is the probability that the chosen classmate prefers cassava cake?
1/4
3/10
¾
30
The numbers 4 to 10 are written on separate pieces of paper, folded and placed in a box. One number (piece of paper) is drawn from this box. What is the probability that the number chosen is a composite number?
1/10
1/5
1/2
5/7
A student is selected at random to join the Provincial Scout Jamboree from a class of 40 students. How many girls are there in the class if the probability of a boy being selected is 52.5%?
19
20
21
29
A bag contains 70 colored candies (orange, green, red, and white). There are 10 green candies and the probability of getting white candy from the bag is 3/14. How many white candies are there in the bag?
10
15
20
25
Your bag contains 45 candies which include chocolate, strawberry and durian flavors. The probability of getting a chocolate candy at random is . How many strawberry candies and durian candies do you have?
10
15
20
30
There are 7 blue marbles, 12 red marbles, 15 green marble, and 2 black marbles in a bag. Suppose you select 1 marble at random, what is the probability that you get a red marble?
1/3
1/18
7/18
1/4
consider the situation “A container has green, yellow, and red caps of empty bottles of juice drinks and a cap is to be picked. There are 3 red caps and the probability of picking a red cap is 0.15”. If the probability of picking a green cap is 1/2, how many green caps are there?
3
5
10
15
