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CAT Geometry & Mensuration — practice questions

Explore 30 free Geometry & Mensuration questions in CAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Geometry & Mensuration questions and exercises with answers

Showing questions 1–30 of 30.

For a closed plane figure, the distance around its boundary is the:Read the answer and worked solution →A rectangular park is 30 m long and 20 m wide. The length of fence around it is:Read the answer and worked solution →The land occupied by that 30 m by 20 m park is:Read the answer and worked solution →If one bag of cement covers 4 square metres, the bags needed equal the path area divided by:Read the answer and worked solution →A quadrilateral with only one pair of parallel opposite sides is a:Read the answer and worked solution →The area of a trapezium is half the height times the:Read the answer and worked solution →Nazma's trapezium plot, split into a rectangle of 240 and a triangle of 60 square metres, has area:Read the answer and worked solution →A general quadrilateral can be split into two triangles by drawing one:Read the answer and worked solution →The area of a quadrilateral equals half the diagonal times the:Read the answer and worked solution →A quadrilateral has diagonal 5.5 cm and offsets 2.5 cm and 1.5 cm. Its area is:Read the answer and worked solution →The area of a rhombus is half the product of its:Read the answer and worked solution →A rhombus has diagonals 10 cm and 8.2 cm. Its area is:Read the answer and worked solution →A trapezium field of area 480 square metres has height 15 m and one parallel side 20 m. The other side is:Read the answer and worked solution →A rhombus of area 240 square cm has one diagonal 16 cm. The other diagonal is:Read the answer and worked solution →A regular hexagon of side 5 cm, split into two congruent trapeziums of 32 square cm each, has area:Read the answer and worked solution →Ridhima found the same hexagon area as a rectangle of 40 plus two triangles of 12 each, which totals:Read the answer and worked solution →The circumference of a circle is found with the expression:Read the answer and worked solution →A flooring tile shaped like a parallelogram has base 24 cm and height 10 cm. Its area is:Read the answer and worked solution →A pentagon can be divided into three parts by constructing:Read the answer and worked solution →Splitting a polygon into triangles to find its area is called:Read the answer and worked solution →The area of a trapezium whose parallel sides are 1 m and 1.2 m with height 0.8 m is:Read the answer and worked solution →A trapezium of area 34 square cm has one parallel side 10 cm and height 4 cm. The other side is:Read the answer and worked solution →Catch the area formulasRead the answer and worked solution →Pop the plane figuresRead the answer and worked solution →Run the area numbersRead the answer and worked solution →Slice the mensuration wordsRead the answer and worked solution →Perimeter or areaRead the answer and worked solution →Sort trapezium, rhombus and quadrilateralRead the answer and worked solution →Type the numberRead the answer and worked solution →Mensuration bingoRead the answer and worked solution →

Worked practice questions

For a closed plane figure, the distance around its boundary is the:

  1. Perimeter
  2. Area size
  3. Volume
  4. Diagonal
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Correct answer: A. Perimeter

1. Area is the region covered by the figure. 2. The boundary distance is the perimeter. 3. Both are found for triangles, rectangles and circles. _Source: syllabus Mathematics, Chapter 11, Mensuration._

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A rectangular park is 30 m long and 20 m wide. The length of fence around it is:

  1. 50 m
  2. 100 m
  3. 60 m
  4. 600 m
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Correct answer: B. 100 m

1. Perimeter is twice the sum of length and width. 2. Twice 50 is 100. 3. So the fence is 100 m long. _Source: syllabus Mathematics, Chapter 11, Mensuration._

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The land occupied by that 30 m by 20 m park is:

  1. 600 square metres
  2. 100 square metres
  3. 500 square metres
  4. 300 square metres
Show answer and solution

Correct answer: A. 600 square metres

1. Area of a rectangle is length times width. 2. 30 times 20 is 600. 3. So the area is 600 square metres. _Source: syllabus Mathematics, Chapter 11, Mensuration._

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