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CTET Mathematics — practice by topic

Browse 1,570 questions across 27 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Fractions (96)Geometry (92)Basic Geometrical Ideas (85)Negative Number (80)Solids Around Us (73)Measures of Central Tendency (70)Data Handling (66)Time (66)Straightedge and Compass Construction (63)Mensuration (62)Algebra (61)Divisibility Rule (58)Measurement (58)Mass Versus Weight (57)Polygon (56)Natural Number (55)Shapes and Spatial Understanding (55)Patterns (53)Multiplication (50)Ratio (50)Division (48)Whole Numbers (46)Money (45)Symmetry (45)Volume (32)Numbers (26)Weight and Volume (22)

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Piece A is 6 cm long. How many squares of side 1 cm fit along its length?Read the answer and worked solution →Piece A is 5 cm wide. How many such squares fit along its width?Read the answer and worked solution →Rather than counting every square, the quicker way is to:Read the answer and worked solution →The fencing of a square garden is 20 m long. How long is one side?Read the answer and worked solution →

Worked practice questions

Piece A is 6 cm long. How many squares of side 1 cm fit along its length?

  1. Six
  2. Two
  3. Ten
  4. Five
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Correct answer: A. Six

1. Each square has a side of 1 cm. 2. The length of piece A is 6 cm. 3. So 6 squares of side 1 cm can be arranged along its length. _Source: syllabus Mathematics, 'Math-Magic', Ch 11 'Area and its Boundary'_

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Piece A is 5 cm wide. How many such squares fit along its width?

  1. Eight
  2. Five
  3. Nine
  4. Seven
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Correct answer: B. Five

1. Each square is 1 cm on a side. 2. The width of piece A is 5 cm. 3. So 5 squares can be arranged along its width. _Source: syllabus Mathematics, 'Math-Magic', Ch 11 'Area and its Boundary'_

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Rather than counting every square, the quicker way is to:

  1. Duplicate
  2. Multiply
  3. Subtract
  4. Estimate
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Correct answer: B. Multiply

1. Counting all the squares one by one takes a long time. 2. The number along the length times the number along the width gives the total. 3. So you should just multiply. _Source: syllabus Mathematics, 'Math-Magic', Ch 11 'Area and its Boundary'_

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