Division Quiz Bee for Grade 10 Math

Division Quiz Bee for Grade 10 Math

June 30, 2021

Easy Round

10 Questions

Easy Question 1

The common ratio of the geometric sequence 18, -12, 8, …

Multiple Choice

The common ratio of the geometric sequence 18, -12, 8, …

• $\frac{3}{2}$

• $\frac{2}{3}$
  

• $-\frac{2}{3}$

• $-\frac{3}{2}$

Easy Question 2

If the value of the 50^th percentile is 19.86, what is the value of the second quartile?

Multiple Choice

If the value of the 50^th percentile is 19.86, what is the value of the second quartile?

• 9.93

• 19.86

• 29.79

• 39.72

Easy Question 3

The equation of the circle in center-radius form if the center is at (-5, 4) with a radius of 4.

Multiple Choice

The equation of the circle in center-radius form if the center is at (-5, 4) with a radius of 4.

• $\left(x-5\right)^2+\left(y+4\right)^2=16$

• $\left(x-4\right)^2+\left(y+5\right)^2=16$

• $\left(x+5\right)^2+\left(y-4\right)^2=16$

• $\left(x+4\right)^2+\left(y-5\right)^2=16$

Easy Question 4

Find the measure of the inscribed angle if it intercepts an arc of 84º

Multiple Choice

Find the measure of the inscribed angle if it intercepts an arc of 84º

• $42^o$

• $84^o$

• $126^o$

• $168^o$

Easy Question 5

 $If\ f\left(x\right)=2x^3-x+3,\ what\ is\ f\left(-1\right)?$  

Multiple Choice

 $If\ f\left(x\right)=2x^3-x+3,\ what\ is\ f\left(-1\right)?$ 

• 0

• 1

• 2

• 3

Easy Question 6

 $Simplify\ \frac{11!}{8!}$  

Multiple Choice

Simplify  $\frac{11!}{8!}$  

• 165

• 720

• 810

• 990

Easy Question 7

The remainder when 3x²⁰²¹ + 8 is divided by x+1?

Multiple Choice

 $The\ remainder\ when\ 3x^{2021}+8\ is\ divided\ by\ x+1?$  

• 5

• 8

• 11

• 14

Easy Question 8

The next term in the sequence  $\frac{3}{4},\frac{8}{9},\frac{15}{16},\frac{24}{25}$  

Multiple Choice

 $The\ next\ term\ in\ the\ sequence\ \frac{3}{4},\ \frac{8}{9},\ \frac{15}{16}\ and\ \frac{24}{25}.$  

•  $\frac{30}{31}$  

•  $\frac{33}{34}$  

•  $\frac{35}{36}$  

•  $\frac{37}{38}$  

Easy Question 9

In rolling two dice at random, what is the probability of obtaining a sum that is less than 2?

Multiple Choice

In rolling two dice at random, what is the probability of obtaining a sum that is less than 2?

• 0

• 1

• $\frac{5}{36}$

• $\frac{7}{36}$

Easy Question 10

Given: AB and AC are tangents to Circle O. If measure of angle ABC is equal to 40, what is the measure of arc ADC?

Multiple Choice

Given: AB and AC are tangents to Circle O. If measure of angle ABC is equal to 40, what is the measure of arc ADC.

• $80^o$

• $160^o$

• $220^o$

• $440^o$

Average Round

5 Questions

Average Question 1

In how many ways can 4-digit even numbers be formed using the digits 0, 1, 2, 3, 4, 5, and 6 if digits can be repeated?

Multiple Choice

In how many ways can 4-digit even numbers be formed using the digits 0, 1, 2, 3, 4, 5, and 6 if digits can be repeated?

• 720

• 1176

• 2401

• 5040

Average Question 2

The 28^th term in the arithmetic sequence -8, -3, 2, 7, …

Multiple Choice

The 28^th term in the arithmetic sequence -8, -3, 2, 7, …

• 117

• 122

• 127

• 132

Average Question 3

A polynomial g(x) of degree zero is added to the polynomial 

2x³+5x²-14x+10 so that it becomes exactly divisible by 2x-3. Find g(x).

Multiple Choice

A polynomial g(x) of degree zero is added to the polynomial  $2x^3+5x^2-14x+10$  so that it becomes exactly divisible by 2x-3. Find g(x). 

• g(x) = -5

• g(x) = -7

• g(x) = -10

• g(x) = -13

Average Question 4

Find the probability that a number selected at random

from the numbers 1, 2, 3, 4, …, 39, 40 is not a multiple of 8.

Multiple Choice

Find the probability that a number selected at random

from the numbers 1, 2, 3, 4, …, 39, 40 is not a multiple of 8.

• $\frac{7}{8}$

• $\frac{1}{5}$

• $\frac{3}{20}$

• $\frac{1}{40}$

Average Question 5

If the lower quartile of a data set is the 6^th data value,

how many data are given?

Multiple Choice

If the lower quartile of a data set is the 6^th data value,

how many data are given?

• 23

• 22

• 21

• 20

Difficult Round

5 Questions

Difficult Question 1

Three positive numbers form a geometric sequence. If the geometric mean of the first two numbers is 6, and the geometric mean of the last two numbers is 54, what are the three numbers?

Multiple Choice

Three positive numbers form a geometric sequence. If the geometric mean of the first two numbers is 6, and the geometric mean of the last two numbers is 54, what are the three numbers?

• 3, 12, 48

• 6, 18, 54

• 1, 36, 1296

• 2, 18, 162

Difficult Question 2

If there are 5 points in a plane with no three of which are collinear, how many different polygons can be possibly formed?

Multiple Choice

If there are 5 points in a plane with no three of which are collinear, how many different polygons can be possibly formed?

• 15

• 16

• 60

• 120

Difficult Question 3

Find the value of k such that x³-kx²+x+4 is divided by x–2 and the remainder is 2.  

Multiple Choice

Find the value of k such that  $x^3-kx^2+x+4$   is divided by x–2 and the remainder is 2.                                                       

• 1

• 2

• 3

• 4

Difficult Question 4

Chords AB and CD are extended to intersect at a point E outside the circle, with B and D closer to E than A and C. If measure of arc AC is equal to  113^o and measure of angle AEC =28^o, find the measure of arc BD.

Multiple Choice

Chords AB and CD are extended to intersect at a point E outside the circle, with B and D closer to E than A and C. If measure of arc AC is equal to  $113^o$ and  $m\angle AEC\ =\ 28$ , find the measure of arc BD.

•  $152^o$  

•  $67^o$  

•  $56^o$  

•  $57^o$  

Difficult Question 5

Two zeroes of cubic polynomial ax³ + 3x² - bx - 6 are -1 and -2. What is the third zero of the polynomial?

Multiple Choice

Two zeroes of cubic polynomial  $ax^3+3x^2–bx–6\ are\ –1\ and\ –2$  . What is the third zero of polynomial?

•  $\frac{3}{2}$  

• 3

• 2

•  $\frac{1}{3}$  

Congratulations