Question 1

Find the $20^{th}$ term of the sequence: 4,6,8,10,…

Accepted Answer

42

Answer

44

Answer

41

Answer

40

Question 2

Find the sum of the first 20 terms of the sequence: 4,6,8,10,…

Accepted Answer

460

Answer

450

Answer

462

Answer

464

Question 3

Insert three geometric means between 1 and 81.

Accepted Answer

3&#44; 9&#44; 27

Answer

27&#44; 49&#44; 63

Answer

9&#44; 27&#44; 63

Answer

33&#44; 55&#44; 77

Question 4

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, and so on in an arithmetic sequence, until the top row has 4 cans. How many cans, in total, are in the display?

Accepted Answer

108

Answer

106

Answer

112

Answer

110

Question 5

Give the next three terms of the Fibonacci Sequence: 0,1,1,2,3,5,8,13,…

Accepted Answer

21&#44; 34&#44; 55

Answer

27&#44; 49&#44; 63

Answer

25&#44; 35&#44; 55

Answer

22&#44; 33&#44; 58

Question 6

Factor $20^{th}$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

What is the sum of the infinite geometric series $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...$ ?

Accepted Answer

1

Answer

0

Answer

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

Answer

2

Question 8

Find the real solution of the cubic polynomial equation: $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...$

Accepted Answer

x=1

Answer

x=2

Answer

x=-1

Answer

x=0

Question 9

Solve the quadratic equation: $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

In a school of 200 students, 80 students are in the band, 160 students are on sports teams, and 60 students participate in both activities. How many students are neither in band nor on a sports team?

Accepted Answer

20

Answer

10

Answer

30

Answer

40

Question 11

Name a point that is $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...$ away from $\left(-1,5\right)$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Accepted Answer

25&#44;200

Answer

25&#44;500

Answer

27&#44;500

Answer

22&#44;500

Question 13

How many 6-digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?

Accepted Answer

1&#44;680

Answer

1&#44;560

Answer

1&#44;480

Answer

1&#44;650

Question 14

If we select a single card from a standard 52-card deck, what is the probability that we draw either a heart or a face card?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

Find the distance between points (9) and (-7,-7).

Accepted Answer

20

Answer

10

Answer

40

Answer

30

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