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.

Q 1MCQ1 Mark
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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Q 2MCQ1 Mark
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
    $24xy$
     
  • B
    $9x^2y^2$
     
  • $24x^2y^2$
     
  • D
    $6x^2y^2$

Answer: C.

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Q 3MCQ1 Mark
The quotient of $x$ by $2$ is added to $5$ is writen as:
  • $\frac{\text{x}}{2}+5$
  • B
    $\frac{2}{\text{x}}+5$
  • C
    $\frac{\text{x}+2}{5}$
  • D
    $\frac{\text{x}}{2+5}$

Answer: A.

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Q 4MCQ1 Mark
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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Q 5MCQ1 Mark
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
    $7xy$
     
  • B
    $x + 7y$
     
  • C
    $xy^7$
     
  • $xy^6$

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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Q 142 Mark Question2 Marks
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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Q 152 Mark Question2 Marks
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 Mark Question3 Marks
The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is $2 x^2$ times its breadth and the height is $\frac{3}{2} y x$, times of length. Find the volume of the cuboid if its breadth is $6 y^2$.
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Q 203 Mark 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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