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# 6th Grade Math Help

TutorVista offers efficient learning programs for Grade 6 students. These online learning programs are suitably prepared by keeping in mind the student's learning competence and requirements. The online tutoring help is designed by experienced subject experts and hence, each of these sessions is beneficial for students. Math is an important subject which requires dynamic understanding in order to score well in exams. It needs constant practice and hence students are suggested to practice Math worksheets repeatedly. TutorVista offers several online Math worksheets for different academic standards. Therefore, students can collect and practice them as per their convenience. Apart from this, they can take online sessions for Math with expert online tutors. Math homework help is also available for Grade 6 students. They can choose this learning assistance and solve their homework by understanding each concept in a step-by step method.

Students can also take demo sessions and when required, can opt for further assistance. Get 6th grade Math help from expert online tutors and improve your subject knowledge in a requisite manner. Students can also choose personalized Math sessions for different grades.

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## 6th Grade Math Topics

### Math topics for grade 6:

Number and Operations
• Read print numbers 0.001 and 1,00,000 and locate, compare, order, represent, estimate and identify numbers using regular and expanded forms.
• Understanding of rational numbers with respect to ratios (comparison of two whole numbers).
• Demonstrates understanding of the relative magnitude of numbers by ordering or comparing numbers, integers or rational numbers using number lines or equality and inequality symbols.
• Understand decimals to the thousandths and be able to apply mathematical operations on decimals or fractions.
• Solves problems involving single or multiple operations on fractions (proper,improper, and mixed), decimals and addition or subtraction of integers, percent of a whole or greatest common factor or least common multiple.
• Properties of numbers (odd, even, positive, negative, remainders, divisibility, and prime factorization) and field properties (commutative, associative, identity, distributive, and additive inverses).
Geometry and Measurement
• Identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures on the basis of properties of angles(right, acute, obtuse) or sides (number of congruent or perpendicular) of triangles (right, acute, obtuse, equiangular, isosceles or equilateral) equiangular, or equilateral) or quadrilaterals (rectangles, squares, rhombus, trapezoids, or parallelograms) or 3-dimensional shapes (rectangular prisms, triangular prisms,cylinders, spheres, pyramids, or cones).
• Uses properties to identify, compare, or describe three-dimensional shapes (rectangular prisms, triangular prisms, cylinders, spheres, pyramids, or cones).
• Understanding of similar and congruent figures applying characteristics of similar figures and using reflections, translations, or rotations and show congruence (including the degree of rotation).
• Full understanding of proportional effect on the linear dimensions of polygons or circles.
• Understanding of perimeter of polygons, the area of triangles or quadrilaterals and volume of rectangular prisms.
• Appropriately and consistently use of units of measures, and makes conversions within systems when solving problem.
Functions and Algebra
• Identify, create, analyze and extend patterns and describe the rules with two variables and increasing complexity.
• Determine, discuss and defend the pattern rules in all problems of linear relationship  (y = mx + c).
• Determine the values in linear algebraic expressions when there are missing terms in the four operations and provide the rules, solving multi-step linear equations.
• Demonstrate equivalence in equations with the 4 operations.
Data and Statistics
• Analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.
• Mean, median, mode.
• Organizes and displays data using tables, line graphs, or stem-and-leaf plots to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.

## Math Problems

Online 6 grade Math problem sheet makes students efficient as it gives them opportunity to solve various Math problems before their exams. Students can schedule their sessions and take requisite learning help from the comfort of their home. 6th grade online Math tutoring programs cover all topics included in the syllabus. Moreover, students can take help for algebra, mensuration, geometry, data handling and other sub-topics. Well-trained virtual tutors are available 24/7 and they assist students in solving various complex Math problems. According to research, it is stated that online session is a convenient way to get familiar with each Math topic. Through this learning process, students can get knowledge as well as confidence to solve different Math problems in exams.

### Solved Examples

Question 1: Simplify 572 ÷ 2 $\times$ 4.9
Solution:

Given, 572 ÷ 2 $\times$ 4.9

Step 1:
572 ÷ 2  = 286

Step 2:
286 $\times$ 4.9 = 1401.4

$\Rightarrow$ 572 ÷ 2 $\times$ 4.9 = 1401.4

Question 2: Find the value of  'a'.

12p - 18a = 6p, for p = 1

Solution:

Given, 12p - 18a = 6p

Step 1:
Solve for a,

Subtract 12p from both sides

$\Rightarrow$ 12p - 18a -12p = 6p - 12p

$\Rightarrow$ -18a = - 6p

Divide each side by -18

$\Rightarrow$ a = $\frac{6}{18}$p = $\frac{1}{3}$p

Step 2:
Put p = 1

$\Rightarrow$ a = $\frac{1}{3}$ $\times$ 1

$\Rightarrow$ a = $\frac{1}{3}$

Question 3: Find the least common multiple of 12, 16 and 24.
Solution:

Prime Factors of 12 = 2 $\times$ 2 $\times$ 3

Prime Factors of 16 = 2 $\times$ 2 $\times$ 2 $\times$ 2

Prime Factors of 24 = 2 $\times$ 2 $\times$ 2 $\times$ 3

$\Rightarrow$ LCM(12, 16, 24) = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 = 48

Question 4: A certain map uses a scale of 1 inch equals 35 miles. How many miles are represented by 15 inches on this map?
Solution:

Given
1 inch = 35 miles

$\Rightarrow$ 15 inches = 35 $\times$ 15

3 5
x 1 5
--------------
1 7 5
+ 3 5 x
--------------
5 2 5
--------------

Hence, 525 miles are represented by 15 inches on map.
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