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CTET Shapes and Spatial Understanding — practice questions — page 2

Explore 55 free Shapes and Spatial Understanding questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Shapes and Spatial Understanding questions and exercises with answers

Showing questions 31–55 of 55.

Which lines are the lines of symmetry of a rhombus that is not a square?Read the answer and worked solution →A triangle with exactly two equal sides folds into matching halves along how many lines?Read the answer and worked solution →How many mirror lines does a rectangle with unequal sides have?Read the answer and worked solution →Which letter has both a vertical and a horizontal line of symmetry?Read the answer and worked solution →Which letter has a vertical line of symmetry but no horizontal one?Read the answer and worked solution →Which letter looks the same after a half turn?Read the answer and worked solution →What is the smallest turn after which a four-bladed windmill firki looks the same?Read the answer and worked solution →What is the least angle of turn that makes a square look unchanged?Read the answer and worked solution →Which shape looks the same after every possible turn about its center?Read the answer and worked solution →Which of these regular shapes can tile a floor on its own with no gaps?Read the answer and worked solution →How many of the seven tangram pieces are triangles?Read the answer and worked solution →Looking at the sunrise, which direction is directly on your left?Read the answer and worked solution →Which direction is exactly opposite to northeast?Read the answer and worked solution →Measured clockwise from north, West is at how many degrees?Read the answer and worked solution →What does the scale of a map compare?Read the answer and worked solution →A cylinder stands on its base. Its top view is which shape?Read the answer and worked solution →Looking straight down at a cube on a desk, you see which shape?Read the answer and worked solution →A regular pentagon cannot tile a floor on its own. Why?Read the answer and worked solution →A regular hexagon looks unchanged after a turn of at least how many degrees?Read the answer and worked solution →Turn an equilateral triangle about its center; it first looks unchanged after how many degrees?Read the answer and worked solution →Facing the setting Sun, which direction is your right hand pointing?Read the answer and worked solution →A map scale says 1 cm stands for 5 km. Two towns are 4 cm apart on the map. How far apart are they?Read the answer and worked solution →On a grid, Mini takes 4 steps right, then 2 steps left, then 1 step up. Where is she compared with the start?Read the answer and worked solution →In a 3 x 3 grid with Row 1 at the bottom, where is the item in row 3, column 2?Read the answer and worked solution →Fold a regular pentagon so the halves match. How many different folds work?Read the answer and worked solution →

Worked practice questions

Which lines are the lines of symmetry of a rhombus that is not a square?

  1. The two diagonals
  2. The four sides
  3. The two midlines
  4. No line at all
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Correct answer: A. The two diagonals

1. A rhombus is symmetric across each of its two diagonals. 2. Lines joining the midpoints of opposite sides are mirror lines of a rectangle, not of a plain rhombus. 3. So the lines of symmetry are the two diagonals. _Source: Wikipedia, Rhombus (CC BY-SA 4.0), Rhombus_

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A triangle with exactly two equal sides folds into matching halves along how many lines?

  1. 1
  2. 3
  3. 0
  4. 2
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Correct answer: A. 1

1. The line from the apex to the middle of the base splits the triangle into matching halves. 2. No other line does this when the sides are not all equal. 3. So there is exactly 1 line of symmetry. _Source: Wikipedia, Isosceles triangle (CC BY-SA 4.0), Isosceles triangle_

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How many mirror lines does a rectangle with unequal sides have?

  1. 1
  2. 0
  3. 2
  4. 4
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Correct answer: C. 2

1. The line joining midpoints of the two long sides is a line of symmetry. 2. The line joining midpoints of the two short sides is another. 3. The diagonals are not lines of symmetry, so there are only 2. _Source: Wikipedia, Rectangle (CC BY-SA 4.0), Rectangle_

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