A Grade 7 Math syllabus is descriptive and informative for students. All basic topics and their sub-topics including algebra, geometry, mensuration and their sub-topics are added in this syllabus. Grade 7 Math is a foundation for higher-level studies. Tutorvista offers online learning assistance to cover syllabus in an organized manner. We also provide useful learning sessions for each Math topic, these sessions are well-organized, cost-effective and meets student's learning requirements successfully. Students can work with proficient subject experts and they can share as well as solve all learning problems to improve their knowledge and prepare well before exams.

You can get help with your daily homework in all subjects from TutorVista. The best thing appealing about Math is that you don’t have to memorize the subject but understand the concepts and solve a problem to score well in exams. TutorVista is a one stop solution for students who need more time to understand each Math concept. Online session offered by TutorVista is informative and productive. In this online session, students can share their Math problems by using interactive whiteboard and above all they can communicate with their tutors through the added chat option.

Students can also choose help in various Math assignments. Our qualified tutors guide students throughout the session along with adequate examples and detailed explanations. With this session students get personalized attention and solve each Math problem in a step-by-step manner. In short, 7th grade Math help is designed for individual student where students can avail their online sessions at any time from home. Thus, they can save their time, money and also can concentrate on each topic accurately.

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Math topics for grade 7:

Number and Operations

### Solved Examples

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

** Solution: **

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

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

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

= 12 $\times$ 9 + 4

= 108 + 4

= 112

$\Rightarrow$ 12 $\times$ 45 $\div$(12 - 7) + 4 = 112

**Question 2: **Solve the proportion for x and check your answer.

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

** Solution: **

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

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

$\Rightarrow$ 7x = 3 $\times$ 35

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

$\Rightarrow$ 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 = $\pi$ $r^2$

$\Rightarrow$ 154 = $\frac{22}{7}$ $\times$ $r^2$

$\Rightarrow$ 154 $\times$ $\frac{7}{22}$ = $r^2$^{
} $\Rightarrow$ 7 $\times$ 7 = $r^2$

$\Rightarrow$ r = 7

and d = 2 r = 2 $\times$ 7 = 14

$\Rightarrow$ Radius of circular table = 7 feet

and diameter = 14 feet.

Below are some 7th grade practice problems. Students can follow these and check their understanding level.

### Practice Problems

**Question 1: **Jiany needs to type an article that will be 20 pages long. Each page
contains about 100 words. If Jiany can type 50 words per minute, how
many minutes will it take him to complete the article? (Answer: 40 mins)

**Question 2: **What would be the compound interest accrued on an amount of 7400 dollars at the rate of 13% at the end of 2 years? (Answer: C.I. = 2132.87 dollars)

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).
- Hypothesis, 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.

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

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

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

= 12 $\times$ 9 + 4

= 108 + 4

= 112

$\Rightarrow$ 12 $\times$ 45 $\div$(12 - 7) + 4 = 112

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

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

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

$\Rightarrow$ 7x = 3 $\times$ 35

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

$\Rightarrow$ x = 15

Check:

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

= $\frac{15}{35}$

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

= $\frac{3}{7}$

= RHS

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 = $\pi$ $r^2$

$\Rightarrow$ 154 = $\frac{22}{7}$ $\times$ $r^2$

$\Rightarrow$ 154 $\times$ $\frac{7}{22}$ = $r^2$

$\Rightarrow$ r = 7

and d = 2 r = 2 $\times$ 7 = 14

$\Rightarrow$ Radius of circular table = 7 feet

and diameter = 14 feet.

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