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6th Grade Math Help
6th grade Math Tutoring helps to improve your knowledge over the topics mentioned in grade 6. Tutors also provide 6th grade Math problems and answers enabling students to learn on the spot. Math word problems for 6th grade are also taught and students can ask their tutor when they have trouble with any words. Get 6th grade math help from expert tutors. Below is a representative list of topics covered in our 6th grade Math help - however all programs will be customized for the individual student.
You can also avail to our other grade math programs:
Math topics for grade 6:
Number and Operations
Few practice problems based on 6th grade math are as follows:
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).
- 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.
- 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.
- 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.
- Probability: sample space may or may not contain equally likely outcomes, predicts and determines the experimental or theoretical probability of an event in a problem solving situation. Independent, dependent, equally likely events.
Solved Examples
Question 1: Simplify 572 ÷ 2 × 4.9
Solution:
Given, 572 ÷ 2 × 4.9
Step 1:
572 ÷ 2 = 286
Step 2:
286 x 4.9 = 1401.4
=> 572 ÷ 2 × 4.9 = 1401.4
Solution:
Given, 572 ÷ 2 × 4.9
Step 1:
572 ÷ 2 = 286
Step 2:
286 x 4.9 = 1401.4
=> 572 ÷ 2 × 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
=> 12p - 18a -12p = 6p - 12p
=> -18a = - 6p
Divide each side by -18
=> a = $\frac{6}{18}$p = $\frac{1}{3}$p
Step 2:
Put p = 1
=> a = $\frac{1}{3}$ x 1
=> a = $\frac{1}{3}$
12p - 18a = 6p, for p = 1
Solution:
Given, 12p - 18a = 6p
Step 1:
Solve for a,
Subtract 12p from both sides
=> 12p - 18a -12p = 6p - 12p
=> -18a = - 6p
Divide each side by -18
=> a = $\frac{6}{18}$p = $\frac{1}{3}$p
Step 2:
Put p = 1
=> a = $\frac{1}{3}$ x 1
=> a = $\frac{1}{3}$
Question 3: Find the least common multiple of 12, 16 and 24.
Solution:
Prime Factors of 12 = 2 x 2 x 3
Prime Factors of 16 = 2 x 2 x 2 x 2
Prime Factors of 24 = 2 x 2 x 2 x 3
=> LCM(12, 16, 24) = 2 x 2 x 2 x 2 x 3 = 48
Solution:
Prime Factors of 12 = 2 x 2 x 3
Prime Factors of 16 = 2 x 2 x 2 x 2
Prime Factors of 24 = 2 x 2 x 2 x 3
=> LCM(12, 16, 24) = 2 x 2 x 2 x 2 x 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
=> 15 inches = 35 x 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.
Solution:
Given
1 inch = 35 miles
=> 15 inches = 35 x 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.
Practice Problems
Question 1: Find the least common multiple of 15, 35 and 75.
Question 2: Find the value of 'm'. If 20y + 12m = 5y for y = 1