# Download Maths Rational Numbers - Worksheet

For Class 7 / Class 8 / Class 9

The worksheet will help you understand the basic definition of Rational and its properties.

Showing posts with label **class7-maths**. Show all posts

Showing posts with label **class7-maths**. Show all posts

For Class 7 / Class 8 / Class 9

The worksheet will help you understand the basic definition of Rational and its properties.

**Worksheet**

**Q1**: In ratio a : b, a is called as _______ or ________.

**Q2**: In ratio a : b, b is called as _______ or ________.

**Q3**: Express 75 : 125 in its simplest term.

If two varying quantities are always in the same ratio, they are said to vary directlt or are directly proportional to one another. Or we simpley say that they are proportional.

In direct variation, as one quantity increases, the other quatity also increases.

If a and b are the two quantities in direct variation then, a ∝ b

e.g. At constant speed, distance covered varies directly as time, i.e., the longer the time an objec travels, the greater the distance it will cover.

India celebrates National Mathematics Day on **December 22** every year. The day marks the birth anniversary of famous mathematician Srinivasa Ramanujan.

*Typo in the graphic new = knew

A **fraction** is a part of whole.

Fractions are of various types. Commonly used fractions are mixed fractions, proper fractions

e.g. $ \frac{13}{4}, 2\frac{3}{4}, \frac{1}{2} $ etc.

**COMPARE FRACTIONS**

We can compare two or more fractions by taking the L.C.M of the denominators of the given fractions. Fraction with a greater denominator is bigger and vice versa.

**Q1**: Compare $\frac{23}{52} \textrm{ and } \frac{19}{22} $

Answer: $\frac{23}{52} > \frac{19}{22}$

Learning is a continual process. To improve scores, the best way is to learn and practice. Solving question papers help students to evaluate their knowledge and familarise with different types of question patterns being asked in examination.

Eduvictors provides CBSE Previous Year Papers and Sample Question Papers for Class 7 Maths, Science, Social, English, Hindi and Sanskrit with/without solutions to help students in their board exam preparation.

1. Mathematics for Class 7 (Examination 2020-2021) R S Aggarwal

Here attached the Maths Sample Question Paper (2020-2021).

CBSE Class 7 Maths

1. A rational number is a number that can be written in the form p/q, where p and q are ________ and q ____ 0.

2. The ________ of a rational number can never be zero.

3. The rational number _______ is neither negative nor positive.

1. A/An _________ is formed when lines or line segments meet.

2. The lines that form an angle are called the _______ or the _______ of the angle.

3. The common end point is called the _________ of the angle.

4. The angle formed by two lines or line segments can be a/an _______ angle, where the measure of the angle is less than 90°.

1. Closure Property Under Addition

Integers are closed under addition, i.e. for any two integers,a and b, a+b is an integer.

eg: 3 + 4 = 7

-9 + 7 = 2

2. Closure Property under Subtraction:

Integers are closed under subtraction, i.e. for any two integers,a and b, a-b is an integer.

eg:

-21 -(-9) = -12

8 -3 = 5

3. Closure Property under Multiplication:

Integers are closed under multiplication, i.e. for any two integers,a and b, ab is an integer.

e.g.

5 × 6 = 30

-3 × -8 = 24

-3 × 7 = -21

e.g. 6 + 4 = 10

2. When two negative integers are added, we get a

e.g. -6 + (-3) = -9

3. When a positive and a negative integer are added, the sign of the sum is always

e.g. 45 + -25 = 20 and -45 + 20 = -25

4. Additive Inverse

The

e.g. Additive inverse of (-15) = - (-15) = 15

POINTS TO REMEMBER

1.

2. To solve an equation means to find the value of the variable (unknown quantity) used in it.

Note: An equation remains unchanged if

(i) the same number is added to each side of the equation. .

(ii) the same number is subtracted from each side of the equation.

(iii) the same number is multiplied to each side of the equation.

(iv) Each side of the equation is divided by the same non-zero number.

(v) In transposing any term of an equation from one side to another, then its sign is reversed is

(a) from positive to negative and from negative to positive

(b) from multiplication to division and from division to multiplication.

3.

It is a statement of inequality between two expressions involving a single variable with the highest power one.

4.

For a given inequation, the set from which the values of its variable are taken is called the replacement set or domain of the variable.

(Key Points)

(a) Integers are closed for addition and subtraction both. That is,

(b) Addition is commutative for integers, i.e.,

(c) Addition is associative for integers, i.e.,

(d) Integer 0 is the identity under addition. That is,

Q1: An algebraic expression containing three terms is called a __________.

Q2: Factors of -5x²y²z are : _____________________________________.

Q3: Sum or difference of two like terms is a ______________.

Q4: -5a²b and -5b²a are ________________ terms.

Q5: In the expression 2πr, the algebraic variable is ___________ and 2π is ________.

1. If sum of measures of two angles is 90°, then the angles are _________.

3. If the sum of measures of two angles is 180°, then they are _________.

3. A transversal intersects two or more than two lines at _________ points.

(2-25)

A number is divisible by 2 if its unit’s digit is even or 0.

Divisibility by 3:

A number is divisible by 3 if the sum of its digits are divisible by 3.

Divisibility by 4:

A number is divisible by 4 if the last 2 digits are divisible by 4, or if the last two digits are 0’s.

Divisibility by 5:

A number is divisible by 5 if its unit’s digit is 5 or 0.

Divisibility by 6:

A number is divisible by 6 if it is simultaneously divisible by 2 and 3.

(MCQs)

(a) 6

(b) 8

(c) 10

(d) 222

(a) 0

(b) 1

(c) 3

(d) Not Defined

(a) 2

(b) 24

(c) 144

(d) 0

Answer:

(i) 0.2 ✕ 6 = 1.2

(ii) 8 ✕ 4.6 = 36.8

(iii) 2.71 ✕ 5 = 13.55

(iv) 20.1 ✕ 4 = 80.4

(v) 0.05 ✕ 7 = 0.35

(vi) 211.02 ✕ 4 = 844.08

(vii) 2 ✕ 0.86 = 1.72

NCERT Exercise 12.1

(i) Subtraction of z from y .

(ii) One-half of the sum of numbers x and y .

(iii) The number z multiplied by itself.

(iv) One-fourth of the product of numbers p and q .

(v) Numbers x and y both squared and added.

(vi) Number 5 added to three times the product of m and n .

(vii) Product of numbers y and z subtracted from 10.

(viii) Sum of numbers a and b subtracted from their product.

Answer:

(i) y - z

(ii)

(x+y)

-----

2

(iii) z²

(iv) pq

----

4

(v) x² + y²

(vi) 3mn + 5

(vii) 10 - yz

(viii) ab - ( a + b )

⑴ 4.4 ✕ 4.6

⑵ 9.06 ✕ 54

⑶ 4.23 ✕ 2.41

⑷ 8.13 ✕ 3.6

⑴ ____ ✕ 53.99 = 539.9

⑵ 87.13 ✕ ____ = 87130

⑶ 10 ✕ _____ = 913

⑷ _____ ✕ 1000 = 85300

⑸ 88.233 ✕ 100 = _____

⑴ 87.0 ✕ 5.2

⑵ 34.10 ✕ 70.20

- Practice Sheet

(a) x - x² + x³

(b) -26ab

(c) -7p²q -7pq²

(d) -27a² -125b²

(e) 2978

(a) Sum of the terms 5x and (-9y)

(b) Sum of the squares of 4 and x

(c) Product of a and b added to the sum of y and 20.

(d) Two times number 9 is subtracted from the product of y and z.

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