Question types

Constructions question types

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

22
Questions
4
Question groups
5
Question types
Sample Questions

Constructions questions

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

Q 1M.C.Q1 Mark
Write the correct answer in the following: With the help of a ruler and a compass it is not possible to construct an angle of:
  • A
    $37.5^\circ$
  • $40^\circ$
  • C
    $22.5^\circ$
  • D
    $67.5^\circ$

Answer: B.

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Q 2M.C.Q1 Mark
Write the correct answer in the following: The construction of a triangle $ABC$, given that $BC = 6\ cm$, $\angle\text{B}=45^\circ$ is not possible when difference of $AB$ and $AC$ is equal to:
  • $6.9\ cm$
  • B
    $5.2\ cm$
  • C
    $5.0\ cm$
  • D
    $4.0\ cm$

Answer: A.

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Q 3M.C.Q1 Mark
Write the correct answer in the following: The construction of a triangle $ABC$, given that $BC = 3\ cm$, $\angle\text{C}=60^\circ$ is possible when difference of $AB$ and $AC$ is equal to:
  • A
    $3.2\ cm$
  • B
    $3.1\ cm$
  • $3\ cm$
  • D
    $2.8\ cm$

Answer: C.

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Write True or False in the following. Give reasons for your answer: A triangle $ABC$ can be constructed in which $\angle\text{B}=105^\circ, \angle\text{C}=90^\circ$ and $AB + BC + AC = 10\ cm.$
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Write True or False in the following. Give reasons for your answer: A triangle $ABC$ can be constructed in which $\angle\text{B}=60^\circ, \angle\text{C}=45^\circ$ and $AB + BC + AC = 12\ cm.$
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Write True or False in the following. Give reasons for your answer: A triangle $ABC$ can be constructed in which $AB = 5\ cm,$ $\angle\text{A}=45^\circ$ and $BC + AC = 5\ cm.$
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Q 103 Marks Question3 Marks
Construct the following and give justification: A right triangle when one side is $3.5\ cm$ and sum of other sides and the hypotenuse is 5$.5\ cm.$
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