Division Mathematics Quiz Bee for GRADE 8 (Las Pinas City)

Division Mathematics Quiz Bee for GRADE 8

March 22, 2022

EASY ROUND

Each question will be read twice. You have 30 seconds to answer.

Easy Round Question 1

​A. (6x + 5y)(6x – 5y)

B. ​(6x + 5y)(6x + 5y)

C. ​(6x – 5y)(6x – 5y)

D​ (3x + 5y)(3x – 5y)

​The question will be read by the quiz master twice.

Multiple Choice

Factor completely.

$$36x^2-25y^2$$

• (6x + 5y)(6x – 5y)

• (6x + 5y)(6x + 5y)

• (6x – 5y)(6x – 5y)

• (3x + 5y)(3x – 5y)

Easy Round Question 2

Find the GCF of the following terms; 

5xy³z ; 26x²y5z² ; 10x³yz²​

A.     xyz                        B. x²y3z⁵                            

C.  2xy³z                       D.  5xyz​

​The question will be read by the quiz master twice.

Multiple Choice

Find the GCF of the following terms; 

5xy³z ; 26x²y5z² ; 10x³yz²​

• xyz

• x²y3z⁵                  

• 2xy³z                   

• 5xyz

Easy Round Question 3

Factor the given polynomial :

3x³ + 24x² + 12x​

​

A.     3x(x² + 8x + 4)            C.  3(x³ + 8x² + 4x)

B.     3x(x³ + 8x² + 4x)       D.  can not be factored

​The question will be read by the quiz master twice.

Multiple Choice

Factor the given polynomial :

3x³ + 24x² + 12x

• 3x(x² + 8x + 4)  

• 3x(x³ + 8x² + 4x)

• 3(x³ + 8x² + 4x)

• can not be factored

Easy Round Question 4

If two lines form right angles, then the lines are perpendicular.

What do you think is the hypothesis of the given conditional statement?

A. the lines are perpendicular

B. ​two lines form right angles

C. if two lines form right angles

D. ​then the lines are perpendicular

​The question will be read by the quiz master twice.

Multiple Choice

If two lines form right angles, then the lines are perpendicular.

What do you think is the hypothesis of the given conditional statement?

• the lines are perpendicular

• two lines form right angles

• if two lines form right angles

• then the lines are perpendicular

Easy Round Question 5

  If x – 4 is one of the factors of x³ – 64, what is the other factor?​

A. x² + 4x + 16

B. ​x² – 4x + 16

C. ​x² + 4x – 16

D. ​x² – 4x – 16

​

​The question will be read by the quiz master twice.

Multiple Choice

  If x – 4 is one of the factors of x³ – 64, what is the other factor?​

• x² + 4x + 16

• x² – 4x + 16

• x² + 4x – 16

• x² – 4x – 16

Easy Round Question 6

What is the slope of the line passing through the points (3, 5) and (6, 17)?

A.    3

B.    4

C.    5

D.    6​

​The question will be read by the quiz master twice.

Multiple Choice

What is the slope of the line passing through the points (3, 5) and (6, 17)?

• 3

• 4

• 5

• 6

Easy Round Question 7

What do you call a mathematical statement that uses greater than, less than, greater than or equal to, or less than or equal to, to relate values?

A.    Linear inequalities

B.    Linear Equations

C.    Linear Functions

D.    Linear Expressions​

​The question will be read by the quiz master twice.

Multiple Choice

What do you call a mathematical statement that uses greater than, less than, greater than or equal to, or less than or equal to, to relate values?

• Linear Inequalities

• Linear Equations

• Linear Functions

• Linear Expressions

Easy Round Question 8

How many solutions does the system of linear equation 2x – y = 1 and 3x + 2y = 9 have?

A.    One

B.    Two

C.    Infinite/ Infinitely Many

D.    None

​The question will be read by the quiz master twice.

Multiple Choice

How many solutions does the system of linear equation 2x – y = 1 and 3x + 2y = 9 have?

• One

• Two

• Infinitely Many

• None

Easy Round Question 9

What is the slope of a vertical line?​

A.    1

B.    0

C.    Undefined

D.    Infinity

​The question will be read by the quiz master twice.

Multiple Choice

What is the slope of a vertical line?​

• One

• Zero

• undefined

• infinity

Easy Round Question 10

If two lines have equal slopes but unequal y-intercept, how many solutions do they have?

A.    One

B.    Two

C.    Infinite/ Infinitely Many

D.    None

​The question will be read by the quiz master twice.

Multiple Choice

If two lines have equal slopes but unequal y-intercept, how many solutions do they have?

• One

• Two

• Infinitely Many

• None

End of

EASY ROUND

Get ready for our AVERAGE ROUND

Average Round

5 questions with 45 seconds to answer for each question.

Average Round Question 1

You and your friends decided to go around town using a bike. Since all of you don’t own a bike, you’ve decided to go to a bike rental shop to rent bikes that you will use. A bike rental shop charges 15 pesos in borrowing a bike for an hour and an additional 10 pesos for every exceeding hour. If Joseph will rent a bike for 4 hours, how much is he going to pay?

A.    P15.00 B. P25.00

C.    P35.00 D. P45.00

​The question will be read by the quiz master twice.

Multiple Choice

You and your friends decided to go around town using a bike. Since all of you don’t own a bike, you’ve decided to go to a bike rental shop to rent bikes that you will use. A bike rental shop charges 15 pesos in borrowing a bike for an hour and an additional 10 pesos for every exceeding hour. If Joseph will rent a bike for 4 hours, how much is he going to pay?

• P 15.00

• P 25.00

• P 35.00

• P 45.00

Average Round Question 2

The sum of two numbers is 116, but their difference is 60. What are the two numbers?

A.    38 and 98

B.    28 and 88

C.    18 and 78

D.    8 and 68​

​The question will be read by the quiz master twice.

Multiple Choice

The sum of two numbers is 116, but their difference is 60. What are the two numbers?

• 38 and 98

• 28 and 88

• 18 and 78

• 8 and 68

Average Round Question 3

Find the equation of the line, in slope-intercept form, that passes through the points (-1, 0) and (1, -6).

A. y= 3x + 3

B. y= -3x - 3

C. y = -3x + 3

D. y = 3x - 3​

​The question will be read by the quiz master twice.

Multiple Choice

Find the equation of the line, in slope-intercept form, that passes through the points (-1, 0) and (1, -6).

• . y= 3x + 3

• y= -3x - 3

• y = -3x + 3

• y = 3x - 3​

Average Round Question 4

Solve the inequality: 2x + 5 > 5x - 16

A. x > 7

B. x < -7

C. x < 7

D. x > -7​

​The question will be read by the quiz master twice.

Average Round Question 5

Are the Lines Parallel? How do you know?

Line 1 runs through the points (-6, 6) and (0, 5)

Line 2 runs through the points (0, -3) and (6, -4)​

A.     Yes, their slopes are opposite reciprocals

B.     Yes, their slopes are the same

C.     No, their slopes are opposite reciprocals

D.     No, their slope are the same

​The question will be read by the quiz master twice.

Multiple Choice

Solve the inequality: 2x + 5 > 5x - 16

• x > 7

• x < -7

• x < 7

• x > -7​

Multiple Choice

Are the Lines Parallel? How do you know?

Line 1 runs through the points (-6, 6) and (0, 5)

Line 2 runs through the points (0, -3) and (6, -4)​

• Yes, their slopes are opposite reciprocals

• Yes, their slopes are the same

• No, their slopes are opposite reciprocals

• No, their slope are the same

End of

AVERAGE ROUND

Get ready for our DIFFICULT ROUND

DIFFICULT Round

5 questions with 60 seconds to answer for each question.

Difficult Round Question 1

The floor area of a classroom is 84 square meters. The width of the classroom is 5 meters less than the length. What is the perimeter of the classroom?

A. 28 meters

B. 38 meters

C. 48 meters

D. 58 meters

​The question will be read by the quiz master twice.

Multiple Choice

The floor area of a classroom is 84 square meters. The width of the classroom is 5 meters less than the length. What is the perimeter of the classroom?

• 28 meters

• 38 meters

• 48 meters

• 58 meters

Difficult Round Question 2

A.     n = 4                                   B.  n = 8                             

C.  n = 2                               D.  n = −8

​The question will be read by the quiz master twice.

Multiple Choice

$$\frac{1}{5n^2}+\frac{2}{5n}=\frac{n+5}{n^2}$$  ​  , Solve. Check for extraneous root/s.

• n = 4

• n = 8

• n = 2

• n = -8

Difficult Round Question 3

 The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?​

A.Van: 18, Bus: 59                                  C. Van: 19, Bus: 58

B.Van: 59, Bus: 18                                  D. Van: 58, Bus: 19

​The question will be read by the quiz master twice.

Multiple Choice

 The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?​

• Van: 18, Bus: 59     

• Van: 59, Bus: 18  

• Van: 19, Bus: 58

• Van: 58, Bus: 19

Difficult Round Question 4

The denominator of a fraction is 3 more than twice the numerator. If 5 is added to the numerator     and subtracted from the denominator, the results is 3/2. Find the original fraction.

A. 11/4

B. 4/11

C. -4/11

D. -11/4

​The question will be read by the quiz master twice.

Multiple Choice

The denominator of a fraction is 3 more than twice the numerator. If 5 is added to the numerator     and subtracted from the denominator, the results is 3/2. Find the original fraction.

• $$\frac{11}{4}$$  

• $$\frac{4}{11}$$  

• $$\frac{-4}{11}$$  

• $$\frac{-11}{4}$$  

Difficult Round Question 5

Find the point of intersection of the lines 2x + 3y = 10 and 3x + 2y = 5

A. (- 7, - 8)

B. (-1, 4)

C. (7,  8)

D. (1, 4)

​The question will be read by the quiz master twice.

Multiple Choice

Find the point of intersection of the lines 2x + 3y = 10 and 3x + 2y = 5.

• (- 7, - 8)

• (-1, 4)

• (7,  8)

• (1,)

End of

Difficult Round

Get ready for our DIFFICULT ROUND