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This mock test of Test: Algebra - 3 for Class 6 helps you for every Class 6 entrance exam.
This contains 20 Multiple Choice Questions for Class 6 Test: Algebra - 3 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Which of the following are used to represent unknown quantities in algebra?

Solution:

In algebra, unknown quantities are represented by lower case letters.

QUESTION: 2

What do literals usually represent?

Solution:

Literals usually represent variables.

QUESTION: 3

The rule, which gives the number of matchsticks required to make the matchstick pattern L, is

Solution:

from the figure it is confirmed that we need 2 matchstick minium for a 'L' shape. so matchsticks will be multiple of 2. so, we need 2n matchsticks

QUESTION: 4

What is the equation for the statement 'half of a number added to 10 is 15'?

Solution:

QUESTION: 5

Write an equation for the statement 'thrice the length of a room is 340 metres'.

Solution:

QUESTION: 6

What is the method of finding a solution by trying out various values for the variable called?

Solution:

QUESTION: 7

A Find the value of 'a' that satisfies the equation 6a = −144.

Solution:

6a = -144

a = -144/6

a = -24

QUESTION: 8

Choose a value of 'a' that satisfies the equation 6a = -30.

Solution:

6a = −30 ⇒ a = -30/6 = -5

QUESTION: 9

What is the value of x if 3x/4 +8 =17?

Solution:

QUESTION: 10

For what value of 'a' is 6(2a-1)+8 = 14 true?

Solution:

QUESTION: 11

Determine the value of x given 6x−1 = 2x+9.

Solution:

QUESTION: 12

Ramu's father is thrice as old as Ramu. If father's age is 45 years, how old is Ramu?

Solution:

QUESTION: 13

A number is multiplied by 6 and 12 is added to the product. The result is 84. What is the number?

Solution:

Let the number be x. It is multiplied by

6 ⇒ 6x 12 is added to the product

⇒ 6x+12

The result is 84 ⇒ 6x+12 = 84 ⇒ 6x = 72

∴ x = 12

(By trial and error method).

QUESTION: 14

Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.

Solution:

Let the side of an equilateral triangular garden be x m.

So, 3x = 66 ⇒ x = 22m

QUESTION: 15

In the given figure, what are the magnitudes of the angles shown?

Solution:

From the figure,x^{∘} + 3x^{∘} = 180^{∘} (straight angle)

⇒ 4x^{∘ }=180^{∘}

⇒x^{∘} = 45^{∘}

∴ 3x^{∘ }= 3×45^{∘ }= 135^{∘}

QUESTION: 16

The length of a rectangle is twice its breadth. If its area is 72 sq. m, find the breadth of the rectangle.

Solution:

Let the breadth of the rectangle be b units. The length is twice its breadth.

⇒ Its length = 2b units

∴ Area = b × 2b sq units

⇒2×b×b = 72 b × b= 72/2 ⇒b × b = 36 = 6 × 6

⇒ b = 6m

QUESTION: 17

Which of the following is the perimeter of a regular hexagon of side 's' units?

Solution:

A regular hexagon has 6 equal sides. Hence perimeter = 6s units.

QUESTION: 18

Which of the following does 2n -1 represent?

Solution:

2n - 1 is 1 subtracted from the product of 2 and n.

QUESTION: 19

what is the value of p?

Solution:

QUESTION: 20

In a piggy bank the number of 25 paise coins is five times the number of 50 paise coins. If there are 120 coins, find the amount in the bank.

Solution:

Let the number of 50 paise coins be x.

⇒ 25 paise coins = 5x

Given that total coins = 120

⇒ x + 5x = 120

⇒ 6x = 120

⇒ x = 120/6 = 20

∴ 50 paise coins = 20

⇒ Amount = 20×50 p = Rs. 10

Value of 25 paise coins = 25p × 5 × 20

= 25p × 100 = Rs. 25

Total amount Rs. (25 + 10) = Rs. 35

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