Question types

Introduction to Algebra question types

78 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

78
Questions
4
Question groups
5
Question types
Sample Questions

Introduction to Algebra questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Mark the correct alternative in the following question: The product of $x$ and $y$ is decreased by $4$ is written as:
  • A
    $4 - xy$
  • B
    $x(y - 4)$
  • $xy - 4$
  • D
    $xy + 4$

Answer: C.

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Mark the correct alternative in the following question: If the lengths of edges of a cuboid are $2x, 3y$ and $4xy$, then its volume is:
  • A
    $24 x y$
     
  • B
    $9 x^2 y^2$
     
  • $24 x^2 y^2$
     
  • D
    $6 x^2 y^2$

Answer: C.

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Mark the correct alternative in the following question: The product of a and b is added to their sum is written as:
  • $ab + a + b$
  • B
    $a + b - ab$
  • C
    $a + ab$
  • D
    $b + ab$

Answer: A.

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Mark the correct alternative in the following question: The initial count of bacteria is $x$ and it becomes $y$ times every day. The total count of bacteria after one week is:
  • A
    $ 7 x y $
  • B
    $ x+7 y $
  • C
    $ x y^7 $
  • $ x y^6 $

Answer: D.

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Write the following using number, literals and sings of basic operations. State what each letter represents: The selling price equals the sum of the cost price and profit.
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The number of rooms on the ground floor of a building is $12$ less than the twice of the number of rooms on first floor. If the first floor has $x$ rooms, how many rooms does the ground floor has?
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The area of a rectangle is given by the product of its length and breadth. The length of a rectangle is two-third of its breadth. Find its area if its breadth is $x \ cm.$
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Q 173 Marks Question3 Marks
The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is $2x^2$ times its breadth and the height is $\frac{3}{2}\text{yx},$ times of length. Find the volume of the cuboid if its breadth is $6y^2$.
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Q 203 Marks Question3 Marks
The cost of painting a rectangular metal sheet is square of its area. If the length and breadth of the rectangle are $2xy$ and $3x^2y$, then find the cost. Given that area of a rectangle is the product of its length and breadth.
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