Showing posts with label Number theory. Show all posts
Showing posts with label Number theory. Show all posts

Tuesday, May 7, 2013

Take ar Test Online

Introduction to take ar test online:

Arithmetic or arithmetic’s is the oldest and most elementary branch of mathematics, used by almost everyone. Professional mathematicians sometimes use the term arithmetic when referring to more advanced results related to number theory, but this should not be confused with elementary school arithmetic. Arithmetic operation includes addition, subtraction, multiplication and division. Let us take school arithmetic tests for online. (Source: Wikipedia)


Questions to take ar in online


Now take a test for ar in elementary school.

Question 1: Solve the following: 24,508 + 24,862 – 3562 + (3562 *4).

Question 2: From the following number find the prime numbers: 10, 15 and 30.

Question 3: From the following series find the composite and prime numbers: 11, 12, 14, 16, 17, 23, 33, 37.

Question 4: Multiply the following: 15, 672 + 14,578 – 2562 + (2562 *2)

Question 5: Find the common factors 14 and 16.

Question 6: Solve for y/4 =15.

Question7:

There are 40 orange trees in a garden. There are 225 oranges in each tree. Find the total number of oranges in the garden.

Question 8:

Mani has 24 chocolates and Knish has 37 chocolates. Find the total number of chocolates did the Mani and Knish has.

Question 9:

Solve by `x/6` = 20.

Question 10:

Multiply: 5/12 x  6/5


Solutions for ar tests in online


Answer to take ar tests online:

Solution 1:

Given 24,508 + 24,862 – 3562 + (3562 *4)

Step 1:

First multiply the 3562 *4= 14248

Step 2:

Add the positive terms 24,508 + 24.862 + 14248 = 63618

Step 3:

Subtract 3562 from 63,618.

63,618 – 3562 = 60056

Answer: 24,508 + 24,862 – 3562 + (3562 *4) = 60056

Solution 2:

Given 16, 15 and 30

16 is divisible by 1, 2, 4 ,8, 16

15 is divisible by 1, 3, 5, 15

60 is divisible by 1, 2, 3, 5, 6, 10, 15, 30

Therefore the given numbers are not prime number.

Answer: There is no prime numbers.

Solution 3:

Given 11, 12, 14, 16, 17, 23, 33, 37

11 is divisible by 1, 11.

12 is divisible by 1, 2, 3, 6, 12.

14 is divisible by 1, 2, 7, 14

16 is divisible by 1, 2, 4, 8, 16.

17 is divisible by 1, 17

33 is divisible by 1, 3,11, 33.

37 is divisible by 1, 37.

Therefore, 11, 17 and 37 are prime number and 12, 14, 16, 33 are composite.

Answer: Prime numbers: 11, 17, 37; Composite numbers: 12, 14, 16, 33.

Solution 4:

Given 15, 672 + 14,578 – 2562 + (2562 *2)

Step 1:

First multiply the 2562 *2= 5124

Step 2:

Add the positive terms 15, 672 + 14,578 + 5124 = 35374

Step 3:

Subtract 2562 from 35374.

35,374 – 2562 = 32812.

Answer: 15, 672 + 14,578 – 2562 + (2562 *2) = 32812.

Solution 5:

Given 14 and 16.

1, 2, 7, 14 are the factors of 14

1, 2,4, 8, 16 are the factors of 16

Therefore, common factors of 14 and 16 are 1, 2.

Answer: Common factors of 14 and 16 are 1, 2.

Solution 6:

Given y/4 =15.

y = 15 * 4 (multiply by 4 on both sides)

y=60.

Answer: x=60.

Question 7:

Solution:

Number of oranges trees in a garden   = 40

Number of mangoes in each tree        = 225

Total number of oranges in the garden = 225 x 40

2 2 5

X 40

_________

9 0 0 0

__________

the total number of oranges in the garden is 9000

Answer: 9000

Solution 8:

Number of chocolates in Mani = 24

Number of chocolates in Knish = 37

Total number of chocolates = 24 + 37

2 4

+ 3 7

_______

6 1

_______

Answer: 61

Solution 9:

Given x/6 =20.

x = 20 * 6 (multiply by 6 on both sides)

y=120.

Answer:20

Solution 10:

Given 5/12 x  6/5

(5 x 6) / (12 x 5) = (30/60)

Answer: 5/12  x  6/7 = (30/60)

Wednesday, March 27, 2013

How to Understand Math

How to understand math (Introduction):
Math is also called as mathematics. Compare to other subject math is tough subject to understand this math subject; we want to listen the class care fully. Mathematics is separated into different sub titles shown here:

Number theory
Mensuration
Sets and functions
Algebra
Applied mathematics.
Geometry
Analytical geometry
Trigonometry
Practical geometry
Statistics
In this topic we discuss how to understand math with examples as problems are shown below:

I like to share this Apothem of a Pentagon with you all through my article.

Easy Understand math Problems with Answers:


Problem 1:

Given the equation

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Multiply factors.

-15x - 10 - x + 3 = -16x - 20 +13

Group like terms.

-16x - 7 = -16x - 7

Add 16x + 7 to both sides and write the equation as follows

0 = 0

Hence this statement is true for all values of x and therefore all real numbers are solutions to the given equation.

Problem 2:

Given the line

5x - 5y = 7

Re-write the equation in slope intercept form y = mx + b and identify the value of m the slope.

-5y = -5x + 7

y = x - ` 7/5`

The slope is given by the coefficient of x which is 1.

Problem 3:

To find the eqn of the line through the points (-1, -1) and (-1, 2), we use the slope m.

m = `(y_2 - y_1)/(x_2-x_1)` = `(2 - (-1)) / ((-1) - (-1))` = `3 / 0`

The slope is defined that means the line is perpendicular to the x axis and its equation has the form x = constant. Since all points have equal x coordinates with -1, the equation is given by:

x = -1

Problem 4:

Given the equation

2x - 4y = 10

To find the x intercept we set y = 0 and solve for x.

2x - 0 = 10

Solve for x.

x = `10 / 2`

= 5

The x intercept is at the point ( 5 , 0).

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Easy Understand math Practice Problems with Answers:


1. Find the statement is equal or not equal: 7(-4x - 3) - (x - 4) = -8(2x + 6) + 11

Answer: Not Equal.

2. To find the equation of the line through the points (-8, -6) and (-6, 2), we first use the slope m.

Answer: Slope m =1/4

3. Solve: 8x - 2y = 3

Answer:  The x intercept is at the point (3/8 , 0).