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ONLINE QUIZ BEE GRADE 10(JANUARY 2022)

Total questions: 15

Worksheet time: 32mins

Name
Class
Date
1.

(EASY) The sum of all even numbers from 0 to 320 is:

a)

A. 25750

b)

B. 257760

c)

C. 27560

d)

D.27570

2.

(EASY)  The positive value of x so that 4x, 5x+4, 3x21,           The\ positive\ value\ of\ x\ so\ that\ 4x,\ 5x+4,\ 3x^2-1,\ \ \ \ \ \ \ \ \ \ \   will be in arithmetic progression is:will\ be\ in\ arithmetic\ progression\ is:  

a)

A.2

b)

B.3

c)

C.4

d)

D. 5

3.

(EASY) Find the quotient of 3x54x3+2x2+36x+483x^5-4x^3+2x^2+36x+48   divided by x32x2+6x^3-2x^2+6  

a)

A.   3x24x8A.\ \ \ 3x^2-4x-8  

b)

B.  3x2+4x+8B.\ \ 3x^2+4x+8  

c)

C.   3x26x8C.\ \ \ 3x^2-6x-8  

d)

D.  3x2+6x+8D.\ \ 3x^2+6x+8  

4.

(EASY) What is the formula for the sum of arithmetic sequence?

a)

A.  Sn=(a1+an)2+nA.\ \ Sn=\frac{\left(a_1+a_n\right)}{2}+n

b)

B.   Sn=(ana1)2+nB.\ \ \ Sn=\frac{\left(a_{n-}a_1\right)}{2}+n

c)

A.  Sn=(a1+an2)nA.\ \ Sn=\left(\frac{a_1+a_n}{2}\right)n

d)

A.  Sn=(a1an2)nA.\ \ Sn=\left(\frac{a_1-a_n}{2}\right)n

5.

(EASY)The geometric mean of a and b is:

a)

  A.  abA.\ \ \sqrt{ab}  

b)

 B.  a+b2B.\ \ \frac{a+b}{2}  

c)

 C.  1bC.\ \ \frac{1}{b}  

d)

 D.  ab2D.\ \ \frac{ab}{2}  

6.

(AVERAGE)Given the equation 2x2 + kx + 12=0. What is the value of k so that the roots of the equation are equal ?

a)

A. 4 6\sqrt[]{6}  

b)

B. 6 4\sqrt[]{4}  

c)

C. 4 3\sqrt[]{3}  

d)

D. 6 3\sqrt[]{3}  

7.

(AVERAGE)The 10th term of the series a, a-b, , a-2b,… is :

a)

A. a-6b

b)

B. a-9b

c)

C. 2a-b

d)

D. a+9b

8.

(AVERAGE) Consider the sequence 5,9,13,17,.., what is the 20th term?

a)

A. 77

b)

B. 81

c)

C. 85

d)

D. 89

9.

(AVERAGE)The geometric mean is 16. the larger number is twice the smaller. What are the two numbers in simplified radical form?

a)

A.   82 and  162A.\ \ \ 8\sqrt{2}\ and\ \ 16\sqrt{2}

b)

B.   102 and  162B.\ \ \ 10\sqrt{2}\ and\ \ 16\sqrt{2}

c)

C.   62 and  162C.\ \ \ 6\sqrt{2}\ and\ \ 16\sqrt{2}

d)

D.   122 and  162D.\ \ \ 12\sqrt{2}\ and\ \ 16\sqrt{2}

10.

(AVERAGE) Divide x5 - 2x3 + x2 - 11 by x-3 and state the remainder.

a)

A. 187

b)

B. 188

c)

c.189

d)

d. 190

11.

What is the formula for the general term of the sequence 8,12,16,20,24,...? (use n as variable)

(a)  

12.

(DIFFICULT) Find the value of k if 4x7+5x3-2kx2+7k-4 has a remainder of 12 when divided by x+1.

(a)  

13.

(DIFFICULT) What is the last digit of 32015 ?

(a)  

14.

(DIFFICULT) The arithmetic mean of 6 numbers is 17. If two numbers are added to the progression, the new set of numbers will have an arithmetic mean of 19. What are the two numbers if their difference is 4:

(a)  

15.

(DIFFICULT) The 2nd and the 30th terms of the arithmetic sequence are 11 and 179. What is the 10th term of the sequence?

(a)