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Olympiad Test: Algebra - Class 6 MCQ


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20 Questions MCQ Test Mathematics (Maths) Class 6 - Olympiad Test: Algebra

Olympiad Test: Algebra for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation. The Olympiad Test: Algebra questions and answers have been prepared according to the Class 6 exam syllabus.The Olympiad Test: Algebra MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Algebra below.
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Olympiad Test: Algebra - Question 1

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

Detailed Solution for Olympiad Test: Algebra - Question 1

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

Olympiad Test: Algebra - Question 2

What do literals usually represent?

Detailed Solution for Olympiad Test: Algebra - Question 2

Literals usually represent variables.

Olympiad Test: Algebra - Question 3

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

Detailed Solution for Olympiad Test: Algebra - Question 3

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

Olympiad Test: Algebra - Question 4

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

Olympiad Test: Algebra - Question 5

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

Detailed Solution for Olympiad Test: Algebra - Question 5

⇒ The length of room is l.

⇒ So, thrice the length means 3l.

∴ According to the statement given in question,

⇒ 3l = 340

Olympiad Test: Algebra - Question 6

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

Olympiad Test: Algebra - Question 7

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

Detailed Solution for Olympiad Test: Algebra - Question 7

6a = -144

a = -144/6

a = -24

Olympiad Test: Algebra - Question 8

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

Detailed Solution for Olympiad Test: Algebra - Question 8

6a = −30 ⇒ a = -30/6 = -5

Olympiad Test: Algebra - Question 9

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

Detailed Solution for Olympiad Test: Algebra - Question 9

Olympiad Test: Algebra - Question 10

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

Detailed Solution for Olympiad Test: Algebra - Question 10

6(2a-1)+8 = 14
12a-6+8 = 14
12a+2 = 14
12a = 12
a = 1

Olympiad Test: Algebra - Question 11

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

Olympiad Test: Algebra - Question 12

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

Detailed Solution for Olympiad Test: Algebra - Question 12

Let, Ramu's age be x years
∴ Ramu's father's age will be 3x years

Father's age is 45
∴3x = 45

⟹  x = 45/3 = 15

∴ Ramu's age is 15 years

Olympiad Test: Algebra - Question 13

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

Detailed Solution for Olympiad Test: Algebra - Question 13

Let the number be x
Then, x×6 + 12 = 84
⇒ 6x = 84−12 = 72
⇒x = 72/6 = 12
Hence required number is x = 12

Olympiad Test: Algebra - Question 14

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

Detailed Solution for Olympiad Test: Algebra - Question 14

Let the side of an equilateral triangular garden be x m.
So, 3x = 66 ⇒ x = 22m

Olympiad Test: Algebra - Question 15

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

Detailed Solution for Olympiad Test: Algebra - Question 15

From the figure,x + 3x = 180 (straight angle) 
⇒ 4x∘ =180
⇒x = 45
∴ 3x∘ = 3×45∘ = 135

Olympiad Test: Algebra - Question 16

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

Detailed Solution for Olympiad Test: Algebra - Question 16

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

Olympiad Test: Algebra - Question 17

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

Detailed Solution for Olympiad Test: Algebra - Question 17

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

Olympiad Test: Algebra - Question 18

Which of the following does 2n  -1 represent?

Detailed Solution for Olympiad Test: Algebra - Question 18

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

Olympiad Test: Algebra - Question 19

what is the value of p?

Detailed Solution for Olympiad Test: Algebra - Question 19



Olympiad Test: Algebra - 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.

Detailed Solution for Olympiad Test: Algebra - Question 20

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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