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Secondary School (English Medium) (5 to 8) Class 7 - CBSE Question Bank Solutions

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A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m (see the given figure). Find the cost of white washing the wall, if the rate of white washing the wall is Rs 20 per m2

[9] Perimeter and Area
Chapter: [9] Perimeter and Area
Concept: undefined >> undefined

Construct 3 equations starting with x = 2

[4] Simple Equations
Chapter: [4] Simple Equations
Concept: undefined >> undefined

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Construct 3 equations starting with x = -2

[4] Simple Equations
Chapter: [4] Simple Equations
Concept: undefined >> undefined

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

If the number of digits formed is taken to be n, the number of segments required to
form n digits is given by the algebraic expression appearing on the right of each pattern.

How many segments are required to form 5, 10, 100 digits of the kind −

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.

How many segments are required to form 5, 10, 100 digits of the kind − 

 

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.

How many segments are required to form 5, 10, 100 digits of the kind −

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Use the given algebraic expression to complete the table of number patterns.

S. No


Expression

Terms
1st 2nd 3rd 4th 5th ... 10th ... 100th ...
1 2n - 1 1 3 5 7 9 - 19 - - -
2 3n + 2 5 8 11 14 - - - - - -
3 4n + 1 5 9 13 17 - - - - - -
4 7n + 20 27 34 41 48 - - - - - -
5 n2 + 1 2 5 10 17 - - - - 10001 -
[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

By applying the ASA congruence rule, it is to be established that ∆ABC ≅ ∆QRP and it is given that BC = RP. What additional information is needed to establish the congruence?

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

In Fig, can you use the ASA congruence rule and conclude that ∆AOC ≅ ∆BOD?

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by the ASA congruence rule. In the case of congruence, write it in symbolic form.

∆DEF, ∠D = 60º, ∠F = 80º, DF = 6 cm.

∆PQR, ∠Q = 60º, ∠R = 80º, QP = 6 cm.

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

Simplify and write the answer in the exponential form.

[(22)3 x 36] x 56

[11] Exponents and Powers
Chapter: [11] Exponents and Powers
Concept: undefined >> undefined

Simplify: `(12^4 xx 9^3 xx 4)/(6^3 xx 8^2 xx 27)`

[11] Exponents and Powers
Chapter: [11] Exponents and Powers
Concept: undefined >> undefined

Simplify: `(2 xx 3^4 xx 2^5)/(9 xx 4^2)`

[11] Exponents and Powers
Chapter: [11] Exponents and Powers
Concept: undefined >> undefined

Write exponential form for 8 × 8 × 8 × 8 taking base as 2.

[11] Exponents and Powers
Chapter: [11] Exponents and Powers
Concept: undefined >> undefined

In the given figure, Identify three linear pairs.

[5] Lines and Angles
Chapter: [5] Lines and Angles
Concept: undefined >> undefined

Add: `-2/3 + 3/8`

[8] Rational Numbers
Chapter: [8] Rational Numbers
Concept: undefined >> undefined

Satpal walks `2/3 "km from a place P, towards the east and then from there"  1 5/7` km towards west. Where will he be now from P?

[8] Rational Numbers
Chapter: [8] Rational Numbers
Concept: undefined >> undefined

Heena’s father paid an electric bill of ₹ 385.70 out of a 500 rupee note. How much change should he have received?

[2] Fractions and Decimals
Chapter: [2] Fractions and Decimals
Concept: undefined >> undefined

The normal body temperature is 98.6°F. When Savitri was ill her temperature rose to 103.1°F. How many degrees above normal was that?

[2] Fractions and Decimals
Chapter: [2] Fractions and Decimals
Concept: undefined >> undefined

In her science class, Jyoti learned that the atomic weight of Helium is 4.0030; of Hydrogen is 1.0080; and of Oxygen is 16.0000. Find the difference between the atomic weights of Oxygen and Hydrogen

[2] Fractions and Decimals
Chapter: [2] Fractions and Decimals
Concept: undefined >> undefined
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