Question 1

Which of the following is a well-defined set?

Accepted Answer

A set of Philippine Presidents

Answer

A set of beautiful tourist destinations

Answer

A set of volleyball players in PLMar

Answer

A set of leaders

Question 2

Which of the following statements is TRUE?

A. 5 ∈ {10, 15, 20}

B. 6 ∈ {𝑥 𝑖𝑠 𝑎 𝑝𝑟𝑖𝑚𝑒𝑛𝑢𝑚𝑏𝑒𝑟}

C. 5 ∈ {𝑥 𝑖𝑠 𝑎 𝑛𝑢𝑚𝑏𝑒𝑟𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒𝑏𝑦 3}

D.6 ∈ {𝑥 𝑖𝑠 𝑎 𝑐𝑜𝑢𝑛𝑡𝑖𝑛𝑔𝑛𝑢𝑚𝑏𝑒𝑟 𝑏𝑒𝑡𝑤𝑒𝑒𝑛1 𝑡𝑜 10}

Accepted Answer

6 ∈ {𝑥 𝑖𝑠 𝑎 𝑐𝑜𝑢𝑛𝑡𝑖𝑛𝑔𝑛𝑢𝑚𝑏𝑒𝑟 𝑏𝑒𝑡𝑤𝑒𝑒𝑛1 𝑡𝑜 10}

Answer

5 ∈ {10, 15, 20}

Answer

6 ∈ {𝑥 𝑖𝑠 𝑎 𝑝𝑟𝑖𝑚𝑒𝑛𝑢𝑚𝑏𝑒𝑟}

Answer

5 ∈ {𝑥 𝑖𝑠 𝑎 𝑛𝑢𝑚𝑏𝑒𝑟𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒𝑏𝑦 3}

Question 3

Consider A = {consonants in the word MISSISSIPPI}. Find n(A).

Accepted Answer

3

Answer

11

Answer

4

Answer

1

Question 4

Let A = {21, 23, 25, 27, 29}

B = {22, 24, 26, 28}

C = {20,21, 22, 23, 24, 25}

Find (A ⋃ B).

Accepted Answer

{21,22,23,24,25,26,27,28, 29}

Answer

{21,22,23,27,28,29}

Answer

{21,23, 25, 27, 29}

Answer

{19,20,21,22,24,26,28,29,30}

Question 5

LetA = {21, 23, 25, 27, 29}

B = {22, 24, 26, 28}

C = {20,21, 22, 23, 24, 25}

Find (A ⋂ B).

Accepted Answer

{ }

Answer

{21,22,23,24,25,26,27,28, 29}

Answer

{21,22, 23, 24, 25}

Answer

Set C

Question 6

Which of the following represents B- A?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

There were 60 learners in the class who were asked about their favorite social media application between Facebook and Instagram. Study the illustration below and answer the questions that follow:

How many learners used Facebook only?

Accepted Answer

6

Answer

9

Answer

15

Answer

25

Question 8

There were 60 learners in the class who were asked about their favorite social media application between Facebook and Instagram. Study the illustration below and answer the questions that follow:

How many learners used Instagram?

Accepted Answer

25

Answer

6

Answer

9

Answer

16

Question 9

There were 60 learners in the class who were asked about their favorite social media application between Facebook and Instagram. Study the illustration below and answer the questions that follow:

How many learners do not use any social media application?

Accepted Answer

29

Answer

22

Answer

31

Answer

35

Question 10

There were 50 learners asked about their favorite juice drink in the canteen. The results showed that 23 liked pineapple juice, 20 liked apple juice, and 9 liked both drinks.

How many learners like pineapple juice only?

Accepted Answer

14

Answer

9

Answer

11

Answer

25

Question 11

In a survey on favorite food of Marikeños, 30 answered Waknatoy,20 answered Everlasting, 23 answered Lumpia, 15 answered Waknatoy and Everlasting,17 answered Waknatoy and Lumpia, 13 answered Lumpia and Everlasting, and 10 answered all the food.

How many Marikeños answered Everlasting only?

Accepted Answer

2

Answer

12

Answer

20

Answer

30

Question 12

In a survey on favorite food of Marikeños, 30 answered Waknatoy,20 answered Everlasting, 23 answered Lumpia, 15 answered Waknatoy and Everlasting,17 answered Waknatoy and Lumpia, 13 answered Lumpia and Everlasting, and 10 answered all the food.

How many Marikeños answered Everlasting only?

How many Marikeños answered Waknatoy and Everlasting but not Lumpia?

Accepted Answer

15

Answer

5

Answer

13

Answer

25

Question 13

On a number line, what is the additive inverseof 26?

A.-26 B. 0 C.26 D.

Accepted Answer

-26

Answer

0

Answer

26

Answer

\frac{1}{26}

Question 14

If = 9, what are the possible values of c?

Accepted Answer

-9 and 9

Answer

9

Answer

-9

Answer

3 and -3

Question 15

Which set of numbers is formed by the whole numbers and the opposites ofnatural numbers?

Accepted Answer

integers

Answer

negative numbers

Answer

non integers

Answer

counting numbers

Question 16

When comparing integers, where is the greater integer located with respectto the lesser integer on the number line?

Accepted Answer

always to the right

Answer

always to the left

Answer

sometimes to the left

Answer

sometimes to the right

Question 17

In which set are the integers -5, 4, 0, 8, -3 arranged from least to the greatest?

Accepted Answer

{-5, -3, 0, 4, 8}

Answer

{0, -3, -5, 8, 4}

Answer

{-3, -5, 0, 4, 8}

Answer

{0, -5, -3, 4, 8}

Question 18

Any two integers when added will always be equal to 0. What property is illustrated in the statement?

Accepted Answer

Additive Inverse Property

Answer

Additive Identity Property

Answer

Multiplicative Identity Property

Answer

Multiplicative Inverse Property

Question 19

Which equation illustrates the additive inverse?

Accepted Answer

(-2)+(2) = 0

Answer

1+1 = 2

Answer

0 - (-1) = 1

Answer

1+ 0= 1

Question 20

Which property is illustrated by 7 ∙ 2 = 2 ∙ 7?

Accepted Answer

Commutative Property of Multiplication

Answer

Associative Property of Multiplication

Answer

Identity Property of Multiplication

Answer

Inverse Property of Multiplication

Question 21

Which of the following statements is false?

Accepted Answer

a – (9 – c) = (a – 9) – c by Distributive Property

Answer

(a + 5) + c = a + (5 + c) by Associative Property of Addition

Answer

(a ∙ b) ∙ 8 = a∙ (b ∙ 8) by Associative Property of the given operation

Answer

a = 7 and 7 = c, then a = c by Transitive Property of Equality

Question 22

What property proves that 6 + 3 = 3 + 6?

Accepted Answer

Commutative Property of Addition

Answer

Associative Property of Addition

Answer

Identity Property of Addition

Answer

Inverse Property of Addition

Question 23

Which of the following statements illustrate the distributive property?

Accepted Answer

3(2 +4) = 3(2) + 3(4)

Answer

2(3) = 3(2)

Answer

2 + 3 = 3 + 2

Answer

(3 +2) + 4 = 3 + (2 + 4)

Question 24

Jerry sorted coins from his two piggy banks with 10 – peso and 20 – peso coins, respectively. He uses the distributive property to find the total amount. If each piggy bank has 50 coins, which statement will help Jerry know the total value of his coins?

Accepted Answer

50 (10 + 20)

Answer

(50 + 10) + (50 + 20)

Answer

50 (10 ∙ 20)

Answer

20 (50 + 10)

Question 25

Simplify 4(18 – 7)?

Accepted Answer

44

Answer

-44

Answer

-65

Answer

65

Question 26

What is the sign of the product of seven negative integers and three positive integers?

Accepted Answer

negative

Answer

none

Answer

positive

Answer

cannot be determined

Question 27

Camille baked 9 trays of strawberry cakes. Each tray has 8 rows with 7 strawberry cakes. What property of multiplication did Camille must use to find how many banana cakes did she bake?

Accepted Answer

Associative Property of Multiplication

Answer

Commutative Property Multiplication

Answer

Closure Property

Answer

Distributive Property

Question 28

Which of the following numbers is less than?

Accepted Answer

0.6

Answer

$\frac{5}{6}$

Answer

\frac{1}{26}

Answer

0.66

Question 29

Write the rational number - $\frac{80}{100}$ as a decimal.

Accepted Answer

– 0.8

Answer

– 0.08

Answer

– 0.008

Answer

– 0.810

Question 30

There are 40 learners in the Cookery Program and18 of them are girls. What decimal number represents the number of girls?

Accepted Answer

0.45

Answer

0.09

Answer

0.20

Answer

0.55

Question 31

An online seller sold 0.36 of her products for a day. What fraction of her products was sold and simplified?

Accepted Answer

\frac{1}{26}

Answer

\frac{1}{26}

Answer

\frac{1}{26}

Answer

$\frac{5}{6}$

Question 32

What is the sum of a rational numbers 3 $\frac{1}{12}$ and 1 $\frac{5}{12}$ ?

Accepted Answer

4

\frac{5}{6}

Answer

4

\frac{5}{6}

Answer

4 $\frac{1}{3}$

Answer

4

\frac{5}{6}

Question 33

What number should be added to 1 $\frac{80}{100}$ to get 6 $\frac{11}{18}$ ?

Accepted Answer

5

\frac{5}{6}

Answer

6

\frac{5}{6}

Answer

6 $\frac{1}{3}$

Answer

5

\frac{5}{6}

Question 34

What is the product of 1 $\frac{80}{100}$ and $\frac{11}{18}$ ?

Accepted Answer

\frac{1}{26}

Answer

$\frac{5}{6}$

Answer

\frac{1}{26}

Answer

\frac{1}{26}

Question 35

What is the quotient when the divisor is 1 $\frac{80}{100}$ and the dividend is the multiplicative inverse of $\frac{3}{8}$ ?

Accepted Answer

\frac{1}{26}

Answer

\frac{1}{26}

Answer

\frac{1}{26}

Answer

3 $\frac{1}{3}$

Question 36

What will be the result if the following rational numbers $\frac{80}{100}$ + $\frac{3}{8}$ + $\frac{3}{11}$ are evaluated?

Accepted Answer

\frac{1}{26}

Answer

$\frac{5}{6}$

Answer

1

\frac{5}{6}

Answer

1

\frac{5}{6}

Question 37

Find the least common denominator of fractions whose denominators are 21 and 36.

Accepted Answer

252

Answer

3

Answer

21

Answer

112

Question 38

Andrei spent 4 hours exercising last week. If $\frac{80}{100}$ of the time was spent jogging, how much time did he spend jogging?

Accepted Answer

3

\frac{5}{6}

hr

Answer

2 hr

Answer

2

\frac{5}{6}

hr

Answer

3  hr

Question 39

Which of the following is a perfect square?

Accepted Answer

121

Answer

42

Answer

56

Answer

105

Question 40

Which of the following numbers has an irrational square root?

Accepted Answer

65

Answer

81

Answer

100

Answer

10000

Question 41

Between what two consecutive integers does the square root of 500 lie in the number line?

Accepted Answer

22 and 23

Answer

21 and 23

Answer

23 and 24

Answer

24 and 25

Question 42

Which is the best temperature estimate for a cold glass of fruit juice in degrees Celsius?

Accepted Answer

10

Answer

0

Answer

32

Answer

100

Question 43

On a number line, Joel was asked to identify two whole numbers in which $\frac{80}{100}$ will be located. Which of the following must be her answer?

Accepted Answer

4 and 5

Answer

7and 8

Answer

6 and 7

Answer

5 and 6

Question 44

Arrange 0.9, 3.1, 0.475, 1.12, and 0.3 in ascending order.

Accepted Answer

0.3, 0.475, 0.9, 1.12, 3.1

Answer

0.475, 0.3, 0.9, 3.1, 1.12

Answer

0.3, 0.9, 0.475, 1.12, 3.1

Answer

3.1, 1.12, 0.9, 0.475, 0.3

Question 45

Order the following rational numbers 5.9, $\frac{80}{100}$ , 6.8, $\frac{5}{12}$ from greatest to least.

Accepted Answer

6.8,

\frac{5}{6}

, 5.9,

\frac{1}{12}

Answer

$\frac{5}{6}$ ,5.9, $\frac{1}{12}$ ,6.8

Answer

\frac{1}{26}

,

\frac{80}{100}

,5.9, 6.8

Answer

6.8, 5.9,

\frac{5}{6}

,

\frac{1}{12}

Question 46

Which of the following numbers has all its zeros significant?

Accepted Answer

5 002

Answer

5 020

Answer

5 200

Answer

5 000

Question 47

Rewrite in scientific notation the mass of a dust particle which is0.000 000 000 815 kg.

8.15 x C. 8.15 x

81.5 x D. 81.5 x

Accepted Answer

81.5 x

\frac{5}{6}

Answer

8.15 x

\frac{5}{6}

Answer

81.5 x $\frac{1}{3}$

Answer

81.5 x

\frac{5}{6}

Question 48

Express 58 million in scientific notation.

Accepted Answer

5.8 x

\frac{5}{6}

Answer

58 x

\frac{5}{6}

Answer

5.8 x

\frac{5}{6}

Answer

58 x $\frac{1}{3}$

Question 49

Jhoanna started her hike at an elevation of 120 feet below sea level. Throughout her hike, she ascended to 2 500 feet and then descended 725 feet. How much did her elevation change?

Accepted Answer

1 655 feet

Answer

1 645 feet

Answer

1 745 feet

Answer

1 755 feet

Question 50

The Earth pickup about 12 000 000 000 g of dust from outer space each day. How much dust does it pick in 3 years (365 days per year)?

Accepted Answer

1.314 x

\frac{5}{6}

Answer

1.314 x $\frac{1}{3}$

Answer

1.314 x

\frac{5}{6}

Answer

1.314 x

\frac{5}{6}

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