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Olympiad (Class 7) Perimeter and area — practice questions — page 2

Explore 57 free Perimeter and area questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Perimeter and area questions and exercises with answers

Showing questions 31–57 of 57.

A 9 cm by 4 cm rectangle and a 6 cm by 6 cm square have equal area. By how much do their perimeters differ?Read the answer and worked solution →Among all plane shapes with the same perimeter, which one encloses the largest area?Read the answer and worked solution →A 44 cm string is made into a square or a circle. Which encloses more area? Use pi = 22/7.Read the answer and worked solution →A wire 88 cm long is bent into a circle. Taking pi as 22/7, what is the radius?Read the answer and worked solution →A wire forming a square of side 11 cm is re-bent into a circle. Its area is? Use pi = 22/7.Read the answer and worked solution →A ring has outer radius 14 cm and inner radius 7 cm. Its area is? Use pi = 22/7.Read the answer and worked solution →A circular park of radius 21 m is fenced at Rs 5 per metre. What is the cost? Use pi = 22/7.Read the answer and worked solution →A 2 cm by 2 cm square corner is cut from a 6 cm by 6 cm square sheet. What is the perimeter of the remaining piece?Read the answer and worked solution →The area of a floor is 2.5 m2. What is this in square centimetres?Read the answer and worked solution →There are 144 square inches in one square foot. How many square inches are in 3 square feet?Read the answer and worked solution →One square yard equals 9 square feet. How many square yards is a 45 square feet carpet?Read the answer and worked solution →A hall has an area of 4,50,000 cm2. What is this in square metres?Read the answer and worked solution →A field is 400 m by 250 m. What is its area in square kilometres?Read the answer and worked solution →A rectangle's length is 5 cm more than its width and its perimeter is 50 cm. What is its area?Read the answer and worked solution →A floor is 12 m by 9 m. A carpet strip is 3 m wide. How long must the strip be to cover the floor?Read the answer and worked solution →The sides of a rectangle are in the ratio 3:2 and its perimeter is 60 cm. What is its area?Read the answer and worked solution →The width of an 8 cm by 5 cm rectangle is increased by 3 cm. By how much does its area increase?Read the answer and worked solution →For every circle, circumference divided by diameter gives which constant?Read the answer and worked solution →The diameter of a circle grows from 10 cm to 30 cm. How many times does its circumference grow?Read the answer and worked solution →A cycle wheel has radius 35 cm. How many full turns cover 1.1 km? Use pi = 22/7.Read the answer and worked solution →A circular coin has diameter 14 mm. Using pi = 22/7, what is the area of one face?Read the answer and worked solution →The largest circle is cut from a square sheet of side 14 cm. How much of the sheet is left? Use pi = 22/7.Read the answer and worked solution →A rectangle with whole-number sides has perimeter 20 cm. What is the largest area it can have?Read the answer and worked solution →How many different rectangles with whole-number sides have perimeter 20 cm? Count a square too.Read the answer and worked solution →A square of side 10 cm is cut into 4 equal small squares. What is the total of their four perimeters?Read the answer and worked solution →Two equal triangles join along a side to form a parallelogram of area 90 cm2. What is one triangle's area?Read the answer and worked solution →The distance a wheel rolls in one revolution equals which length of the wheel?Read the answer and worked solution →

Worked practice questions

A 9 cm by 4 cm rectangle and a 6 cm by 6 cm square have equal area. By how much do their perimeters differ?

  1. 1 cm
  2. 4 cm
  3. 0 cm
  4. 2 cm
Show answer and solution

Correct answer: D. 2 cm

Both areas are 36 cm2, but the perimeters are 26 cm and 24 cm, which differ by 2 cm.

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Among all plane shapes with the same perimeter, which one encloses the largest area?

  1. Rectangle shape
  2. Triangle shape
  3. Circle shape
  4. Square shape
Show answer and solution

Correct answer: C. Circle shape

The isoperimetric problem has the circle as its solution, which is why drops of fat on broth are round.

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A 44 cm string is made into a square or a circle. Which encloses more area? Use pi = 22/7.

  1. the circle
  2. both equal
  3. cannot say
  4. the square
Show answer and solution

Correct answer: A. the circle

The square has side 11 cm and area 121 cm2, while the circle has radius 7 cm and area 154 cm2.

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More Mathematics topics

Data interpretation and analysisRational numbersSimple Linear EquationsTriangles and congruence of trianglesConstructions and TilingsIntegersFractions and DecimalsFactors and Multiples