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Chapter 11

Algebra

Mathematics•Class 6•CBSE

22 Questions Available

Showing 20 questions on this page

1

Anshika’s Score in Science is 15 more than the two-third of her score in Sanskrit. If she scores x marks in Sanskrit, find her score in Science.

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2

If x = -1/2, y = 1/4 and z = 0, find the value of the given expressions 

(a) 8z + 2x -y 

(b) z – y + 3x

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3

Deepak’s present age is one-third his mother’s present age. If the mother’s age was five times his age 6 years ago, what are their present ages?

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4

A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the distance between Delhi and Amritsar.

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5

If a = 3, b = 1/2 and c = 1/4, find the value of (2ab-bc)/3ac

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6

Deepak’s present age is one-third his mother’s present age. If the mother’s age was five times his age 6 years ago, what are their present ages?

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7

If x = -1/2, y = 1/4 and z = 0, find the value of the given expressions

(a) 8z + 2x -y

(b) z – y + 3x

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8

Think of a number, add 2 to it and then multiply the sum by 6, the result is 42.

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9

A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the distance between Delhi and Amritsar.

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10

If x = 2, y = 3 and 2 = 5, find the value of;

(a) 2x + y + z

(b) 4x -y + z

(c) x – y + z

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11

Rearrange the terms of the following expressions in ascending order of powers of x:

5x2, 2x, 4x4, 3x3, 7x5

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12

Six less than a number equals to two. What is the number?

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13

Here is a pattern of houses with matchsticks:

Uploaded image

Write the general rule for this pattern.

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14

Write an algebraic expression for each of the following:

(a) 3 subtracted from a number y.

(b) 5 is added to three times a number x.

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15

Complete the table and find the solution of the equation 19 – x = 13

Uploaded image

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16

Anshika’s Score in Science is 15 more than the two-third of her score in Sanskrit. If she scores x marks in Sanskrit, find her score in Science.

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17

Write which letters give us the same rule as that given by L.

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18

Number of pencils to be distributed to each student= 5And, let the number of students in class be ‘s’. As per the logic, Number of pencils needed =(Number of students in the class) x. (Number of pencils to be distributed to one student )

So, Number of pencils needed = 5 x s = 5s.

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19

The side of a regular hexagon is s cm. Find its perimeter.

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20

Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.

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