Free Printable Quiz Bee Grade 7-10

1.

What kind of polynomial is 3x³– 6?

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

2.

When a polynomial is written in standard form, the coefficient of the first term is called?

a)

Boss Coefficient

b)

Best Coefficient

c)

Leading Coefficient

d)

Greatest Comment Coefficient

3.

He created the rectangular coordinate system.

a)

Georg Cantor

b)

Albert Einstein

c)

Rene Descartes

d)

Euclid

4.

It is an angle whose measure is more than 90°.

a)

Obtuse Angle

b)

Acute Angle

c)

Right Angle

d)

Straight Angle

5.

What is the slope of the given equation

3x-5y=20

?

(a)

6.

What is the value of

\sqrt{4096}

?

(a)

7.

If the standard deviation of the given data is 0. What is the range of the data?

(a)

8.

How many digits does

10^{100}

have?

(a)

9.

Easy Round

Find the 11th term of the arithmetic sequence 12, 15, 18, 21, …

a)

39

b)

40

c)

41

d)

42

10.

Easy Round

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

11.

Easy Round

The lower quartile is equal to

a)

50th percetile

b)

25th percentile

c)

2nd decile

d)

3rd quartile

12.

Average Round

In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19. The median is

a)

17

b)

15

c)

16

d)

13

13.

Average Round

In the arithmetic sequence 5, 9, 13, 17, …,

which term is 402?

a)

50th term

b)

70th term

c)

100th term

d)

110th term

14.

Average Round

If(x) = $5x^3-3x^2+1$ , then the value of $f\left(\frac{2}{5}\right)\ is$

a)

$\frac{21}{25}$

b)

$\frac{4}{5}$

c)

$\frac{7}{5}$

d)

$\frac{8}{5}$

15.

Average Round

If the polynomial $x^2-5x+9$ is divided by (x-3), then the remainder is

a)

4

b)

5

c)

2

d)

3

16.

Difficult Round

Anna has five boxes, as well as five black balls and five white balls. She is allowed to decide how she shares out the balls between the boxes as long as she puts at least one ball into each box. Beate randomly chooses one box and takes one ball without looking. Beate wins if she draws a white ball. Otherwise Anna wins.

How should Anna distribute the balls in order to get the highest probability of winning?

a)

Anna puts one white and one black ball into each box.

b)

Anna distributes the black balls into three of the boxes and the white ones into the remaining two boxes.

c)

Anna distributes the black balls into four of the boxes and puts all of the white ones into the remaining box.

d)

Anna puts all of the white balls into one box and then puts one black ball into each box.

e)

Anna puts all of the black balls into one box and then puts one white ball into each box.

17.

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

a)

C = (5,-4) r = 7

b)

C = (-5,4) r = 7

c)

C = (-4,5) r = 49

d)

C = (5,-4) r = 49

18.

Difficult Round

Rochelle got a score of 55 which is equivalent to 70th percentile in a mathematics test. Which of the following is not true?

a)

She scored above 70% of her classmates

b)

Thirty percent of the class got scores of 55 and above

c)

If the passing mark is the first quartile, she passed the test

d)

Her score is below the 5th decile

19.

Difficult Round

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

20.

Difficult Round

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

60°

21.

1. What does D represent in Roman numerical system?

a)

100

b)

500

c)

1000

d)

5

22.

In the expression below, What will be the excluded value of x so that the expression will not be undefined?

\frac{5}{3x-1}

a)

1

b)

2

c)

3

d)

1/3

23.

Express the expression in its simplest form: $\frac{3-2x}{2x-3}=$

a)

1

b)

-1

c)

2

d)

-2

24.

Solve for the value of x: $\frac{5}{x+3}-\frac{4}{3x}=\frac{7}{x^2+3x}$

a)

3

b)

11

c)

33

d)

44

25.

Solve : $\left(3-2i\right)\left(4+3i\right)$

(a)

26.

EASY ROUND:

Find the missing side.

a)

5

b)

9

c)

7

d)

11

27.

AVERAGE ROUND:

Find three consecutive integers such that if the sum of the first two is decreased by the third, the result will be 68.

a)

68, 69, 70

b)

70, 71, 72

c)

69, 70, 71

d)

71, 72, 73

28.

AVERAGE ROUND:

Two cars 635 km. apart travel toward each other. One car travels at a rate of 75 km. per hour and the other car at the rate of 52km. per hour. In how many hours will they meet?

(a)

29.

AVERAGE ROUND:

Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza, can choose one of seven different toppings, and can have three different choices of crust.

How many different pizzas could Sarah order?

(a)

30.

DIFFICULT ROUND:

The combined capacity of a bottle and a glass is equal to the capacity of a pitcher. The capacity of a bottle is equal to the combined capacity of a glass and a mug. The combined capacity of three mugs is equal to the combined capacity of two pitchers. How many glasses altogether have the capacity of one mug?

(a)

31.

DIFFICULT ROUND:

On his first three algebra tests, Sam scored 79,88 and 84. What must he score on his fourth test so that his average for the four test will be 85.

(a)

32.

DIFFICULT ROUND:

Juan, Pedro and Maria stand in a row for a group picture. How many different poses are possible?

(a)

33.

EASY ROUND:

Divide.

\frac{𝟐𝒂+𝟒}{a-3}\cdot\frac{𝒂^2+𝟓𝒂+𝟔}{a^2-9}

a)

2

b)

$a+2$

c)

$a-3$

d)

3

34.

DIFFICULT ROUND:

How many chords can be drawn using 7 distinct points on a circle?

(a)

35.

DIFFICULT ROUND:

The weight of 3 apples and 2 oranges is 255 g.

The weight of 2 apples and 3 oranges is 285 g.

Each apple weighs the same and each orange weighs the same.

Which is the combined weight of 1 apple and 1 orange?

(a)

36.

EASY: Science put to use is _________.

a)

Measurement

b)

Equations

c)

Technology

d)

Mathematics

37.

EASY: Pertains to things that can be used to produce goods and service

a)

Product

b)

Resources

c)

Capital

d)

Entrepreneur

38.

EASY: Find the larger number in two numbers whose sum is 25 and whose product is 154.

a)

14

b)

17

c)

19

39.

EASY: Who is the author of “ The Man without a Country”?

a)

Edward Everett Hale

b)

O. Henry

c)

Leo Tolstoy

40.

EASY: Uri ng tula ng mga Hapon na mayroong sukat na 17 na hinahati sa tatlong taludtod

a)

Tanka

b)

Tanaga

c)

Haiku

41.

AVERAGE: Refers to use of goods and services by consumers in order to address their wants

a)

Consumption

b)

Production

c)

Allocation

d)

Inflation

42.

AVERAGE: Evaluate the quantity of y minus x squared over x plus two y at x equals 3 and y equals negative 2

a)

0

b)

– 25

c)

18

d)

– 30

43.

AVERAGE: In “The Gift of the Magi,” Della sold her _________ to get a money to buy a gift for her husband

a)

Necklace

b)

Hair

c)

Doll

44.

AVERAGE: What is the state of matter that is a special type of gas that exists at extremely high temperatures?

a)

Plasma

b)

Bose-Einstein Condensate

c)

Non-Newtonian Fluid

45.

AVERAGE: Ang elehiya ay isang uri ng tulang ____________ .

a)

Pasalaysay

b)

Emosyonal

c)

Liriko

46.

INTERMEDIATE: Solve - One over x plus 5, minus, ten over x squared minus 25, equals, three over x minus 5.

a)

15

b)

– 15

c)

20

d)

– 25

47.

INTERMEDIATE: Which among the following is not a covalent compound?

a)

sulfur dioxide

b)

zinc oxide

c)

boron chloride

d)

dinitrogen oxide

48.

INTERMEDIATE: Which of the following calls a nominative case pronoun?

a)

Indirect Object

b)

Appositive of a Direct Object

c)

Subject of a Dependent Clause

49.

Which of the following does not illustrates quadratic equation?

a)

25x² + 29 = 0

b)

25x² + 29x – 10 = 0

c)

25x + 29 = 0

50.

Rewrite the given quadratic equation into standard form. 29 + x² = -7x

a)

x² + 7x + 29 = 0

b)

x² - 7x + 20 = 0

c)

x² + 7x – 29 = 0

51.

What is the value of c in the given quadratic equation?

x² + 13x = -29

a)

-29

b)

13

c)

29

52.

What is the value of a, b and c in the given quadratic equation? 25x² - 45x = 100

a)

a = 25, b = -45 and c = 100

b)

a = 25, b = -45 and c = -100

c)

a = 25, b = 45 and c = 100

53.

If the discriminant of the given quadratic equation is greater than zero and the discriminant is perfect square, then what type of roots do we have?

a)

Unequal Irrational Roots

b)

Unequal Rational Roots

c)

Equal Real Roots

54.

Given (x + 5) (x – 7) = 0, apply foil method to get the quadratic equation.

a)

x² -2x – 35 = 0

b)

x² -12x – 35 = 0

c)

x² - 7x + 5x – 35 = 0

55.

Transform the given two binomial into quadratic equation and find the value of a, b and c:

(x + 3)(x – 5) = 0

a)

a = 1, b = 2, and c = -15

b)

a = 1, b = -2 and c = 15

c)

a = 1, b = -2 and c = -15

56.

Which of the following quadratic equation whose roots are 10 and – 10?

a)

x² - 10x + 100 = 0

b)

x² + 100 = 0

c)

x² - 100 = 0

57.

Solve: (x + 18)(7x – 21) = 0 using the Zero Product Property to get x.

a)

x = 18 and x = 3

b)

x = -18 and x – 3

c)

x = -18 and x = 3

58.

Supply the missing term by completing the square in quadratic equation x² + 10x + _____ = 21 + _____, to make the left side a perfect square trinomial.

a)

100

b)

25

c)

50

59.

What is the value of the discriminant of the equation x² -9x + 15= 0

a)

0

b)

141

c)

21

60.

Find the discriminant and describe the roots of the given quadratic equation: 2x² - 7x + 8 = 0

a)

Unequal Irrational Roots

b)

Unequal Imaginary Roots

c)

Unequal Real Roots

61.

What is the quadratic equation given the sum of roots = 10 and product of the roots = 25?

a)

x² - 10x - 25 = 0

b)

x² + 10x + 25 = 0

c)

x² -10x + 25 = 0

62.

The value of the discriminant of the equation x² - 10x – 25 = 0 is ______.

a)

Greater than 0

b)

Less than 0

c)

Equal to 0

63.

What are the roots of the equation x² - 3x – 4 = 0?

a)

x = 1 and x = -4

b)

x = -1 and x = -4

c)

x = -1 and x = 4

64.

CLINCHER QUESTION #1: What is the product of the roots of the equation $3x^2\ +\ 5x\ +\ 4\ =\ 0$ ?

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

$-\frac{4}{3}$

d)

$-\frac{3}{4}$

65.

CLINCHER QUESTION #2: What is the value of the discriminant of the equation $x^2\ -\ 4x\ =\ -4$

a)

32

b)

8

c)

24

d)

0

66.

What is 2x ( x - 6) = 10 in standard form of quadratic equation?

a)

$2x^2+2x+10=0$

b)

$2x^2+12x+10=0$

c)

$2x^2-12x-10=0$

d)

$2x^2-12x+10=0$

67.

Which of the following methods can be used in solving quadratic equation of the form $ax^2+bx+c=0$ ?

I. Extracting Square Roots

II. Factoring

III. Completing the Square

IV. Quadratic Formula

a)

I, II and III

b)

I, III and IV

c)

II, III and IV

d)

I, II, III and IV

68.

What is the nature of the roots of a quadratic equation with discriminant of 169?

a)

Real, rational and equal

b)

Real, irrational and not equal

c)

Real, rational and not equal

d)

No real roots

69.

Find the product of the roots of x (x + 4) = 0.

a)

-4

b)

0

c)

4

d)

12

70.

Which of the quadratic equations has equal roots?

a)

$\left(x+5\right)\left(x+8\right)=x+4$

b)

$\left(x-4\right)^2-9=0$

c)

$x^2-8=4$

d)

$\left(x+1\right)^2+\left(x-3\right)^2=1$

71.

The sum of a number and its reciprocal is 5/2. Find the number.

a)

5

b)

4

c)

3

d)

2

72.

a)

$x^2+4x+5>0$

b)

$x^2+4x-5>0$

c)

$-x^2+4x+5<0$

d)

$-x^2+4x+5>0$

73.

Which graph represents a quadratic function?

a)

b)

c)

d)

74.

Which of the following shows the graph of $y=2\left(x-1\right)^2-3$ ?

a)

b)

c)

d)

75.

Which of the following is a quadratic function?

a)

$2r^2+4r-1$

b)

$3t-7=2$

c)

$s^2+5s-4=0$

d)

$2x^2-7x\ge3$

76.

The cost C varies inversely as the size s of banana cake is written as.

a)

$C=ks$

b)

$k=Cs$

c)

$C=\frac{k}{s}$

d)

$C=\frac{s}{k}$

77.

Find the constant of variation where y varies inversely as x and y = 12 when x = 3.

a)

36

b)

26

c)

15

d)

4

78.

Find the equation of variation where a varies jointly as b and c, and a=36 when

b= 3 and c=4.

a)

$a=3bc$

b)

$a=6bc$

c)

$a=9bc$

d)

$a=12bc$

79.

If y varies directly as x and inversely as z, and y= 24 when x=48 and z= 4, when y= 44 and z= 6 find k.

a)

$k=2$

b)

$k=22$

c)

$k=\frac{1}{2}$

d)

$k=12$

80.

Which of the following values shows the positive form of the expression $4^{-3}$ ?

a)

12

b)

64

c)

$\frac{1}{12}$

d)

$\frac{1}{64}$

81.

Simplify: $1000^{\frac{2}{3}}$

a)

10

b)

100

c)

1000

d)

$\frac{1}{10}$

82.

Simplify the radical $\frac{1}{\sqrt[3]{x^2}}$

a)

$\frac{\sqrt[3]{x}}{2}$

b)

$\frac{\sqrt[3]{x}}{x}$

c)

$\sqrt[3]{x^2}$

d)

$\sqrt[3]{x}$

83.

What is the product of $\sqrt{8}$ and $\sqrt{12}$ ?

a)

$4\sqrt{6}$

b)

$-4\sqrt{6}$

c)

$6\sqrt{4}$

d)

$-4\sqrt{6}$

84.

What is the simplified form of $\frac{\sqrt{20x+5}}{\sqrt{5}}$ ?

a)

$\sqrt{4x^2+x}$

b)

$5x\sqrt{4x^4+x}$

c)

$\frac{5\sqrt{5x^2+x}}{x}$

d)

$\frac{\sqrt{4x^2+x}}{x}$

85.

What is/are the solution/s to the equation $\sqrt{x^2}=\pm\sqrt{36}$ ?

a)

6

b)

-6

c)

6, -6

d)

No solution

Quiz Bee Grade 7-10

Total questions: 85

Worksheet time: 1hrs 13mins

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