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Usually students find grade-7 maths entirely different from whatever they had learned in lower grades. Mathematics in 7th grade becomes more descriptive and illustrative. It contains axioms and theorems. It contains concepts which if mastered, are quite useful in higher studies. Grade-7 math is a foundation stone for higher-level mathematics. Grade-7 math should be very clear in order to have better understanding of maths in higher studies.

Do not worry, Tutorvista is here to help you out. We offer high quality math lessons for free. These lessons are made by our highly and professionally qualified teachers who understand the requirements of grade-7 students. They have made these lessons very interesting and educative. Questions and answers related to each lesson are also available here. All the questions are solved step by step in a descriptive manner. Students can take advantage of these lessons at any time from the comfort of their home.

Tutorvista is designed to provide quality help for students with math. We provide 7th grade math help and our online tutors give detail explanation of each and every concept coming under this grade. Following is a representative list of topics covered in our 7th grade Math help - however all programs will be customized for the individual student. We are listed some topics covered under 7 Grade Math.

You can also avail to our other grade math programs:

Number and Operations

• Understanding of rational numbers with respect to square roots of perfect square, proportional reasoning, percents involving discounts, tax and rates.
• Identify, compare and order decimals, fractions and integers.
• Scientific notation, radicals, absolute value, irrational or real numbers.
• Add, subtract, multiply and divide fractions and convert between fractions, decimals and percents solves problems involving the addition or subtraction of integers, raising numbers to whole number powers, and determining square roots of perfect square numbers and non perfect square numbers.
• Understanding of properties of number and field properties as apply to subsets of the real numbers.

Geometry and Measurement

• Properties of angles (adjacent angle, vertical, straight or angle formed by intersection of two non - parallel lines).
• Hypothesize, sketch, identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures and problems.
• Analyze and identify shapes that have been rotated, reflected, translated and describe those that are congruent.
• Understanding of the area of circles or the area or perimeter of figures (quadrilaterals, triangles, or parts of circles), and the surface area of rectangular prisms, or volume of rectangular prisms, triangular prisms, or cylinders.

Functions and Algebra

• Extend, analyze and justify the explanations for patterns and their rules and a more complex level using words and symbols.
• Solving problems involving the relationship between slope and rate of change or describes how change in the value of one variable relates to change in the value of a second variable.
• Be able to write algebraic expressions and write statements to understand simple formulas and simplify algebraic equations with the four operations.

Data, Statistics, and Probability

• Analyze the data to formulate or justify conclusions, to make predictions (circle graphs, linear relationship).
• Simple or composite experiments, independent events, dependent events.
• Representations of data
• Mean, median, mode, and range.
• Predicts and determines event in which the sample space may or may not contain equally likely outcomes.

7th grade math problems online are an excellent solution for anyone who needs help or is looking for ways to sharpen their solving skills. Unlike classroom teaching or traditional tutorials, online math helpers give you the choice of studying when you want. This is a huge advantage, especially if it is exam time and you need help quickly and instantly. Online study for 7th grade math problems helps and exam preparation are other services that you can get from online math helpers.

### Solved Examples

Question 1: Simplify 12 x 45 $\div$(12 - 7) + 4.

Solution:

Given, 12 x 45 $\div$(12 - 7) + 4

12 x 45 $\div$(12 - 7) + 4 = 12 x 45 $\div$5 + 4

= 12 x 45 x $\frac{1}{5}$ + 4

= 12 x 9 + 4

= 108 + 4

= 112

=> 12 x 45 $\div$(12 - 7) + 4 = 112

$\frac{x}{35} = \frac{3}{7}$

Solution:

Given, $\frac{x}{35} = \frac{3}{7}$

$\frac{x}{35} = \frac{3}{7}$

=>  7x = 3 $\times$ 35

=> x = $\frac{3 \times 35}{7}$

=> x = 15

Check:
LHS = $\frac{x}{35}$

=
$\frac{15}{35}$

=
$\frac{3 \times 5}{5 \times 7}$

=
$\frac{3}{7}$

= RHS

Question 3: Area of a circular table is 154 square feet. What is the radius and diameter of the table.
Solution:

Given
Area of the circular table (A) = 154 square feet

Let 'r' be the radius and 'd' be the diameter of the circle

Use the formula,

A = ∏ r2

=> 154 = $\frac{22}{7}$ * r2

=> 154 x $\frac{7}{22}$ = r2

=> 7 x 7 = r2

=> r = 7

and d = 2 r = 2 x 7 = 14

=> Radius of circular table = 7 feet

and diameter = 14 feet.