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Olympiad (Class 7) Constructions and Tilings — practice questions — page 2

Explore 55 free Constructions and Tilings questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Constructions and Tilings questions and exercises with answers

Showing questions 31–55 of 55.

Each side of a regular hexagon is 4 cm. A thread runs once around its edge. How long is the thread?Read the answer and worked solution →A regular hexagon of side 5 cm is built from six equilateral triangles. How far is each vertex from the centre?Read the answer and worked solution →A regular hexagon has side 6 cm. What is the length of a line joining opposite corners through the centre?Read the answer and worked solution →A hexagon of side 3 cm has an outward equilateral triangle on each side. Star outline length?Read the answer and worked solution →Turning a six-pointed star by which smallest angle about its centre leaves it looking unchanged?Read the answer and worked solution →A shape that a line splits into two matching mirror halves has which symmetry?Read the answer and worked solution →A shape that looks unchanged after turning about a fixed point has which symmetry?Read the answer and worked solution →A long border pattern looks the same after sliding it along by one unit. Which symmetry is this?Read the answer and worked solution →A reflection followed by a translation is known as which kind of symmetry?Read the answer and worked solution →A screw thread repeats by moving along its axis while turning. Which symmetry describes this?Read the answer and worked solution →A fractal whose small parts look like the whole shows which symmetry?Read the answer and worked solution →Which kind of triangle always has at least one line of symmetry?Read the answer and worked solution →A square can be folded so that the edges match in how many different ways along a line?Read the answer and worked solution →How many lines of symmetry does a regular hexagon have?Read the answer and worked solution →Which quadrilateral, in its general form, has no line of symmetry?Read the answer and worked solution →How many planes of reflective symmetry does a cube have?Read the answer and worked solution →A sphere has how many planes of symmetry?Read the answer and worked solution →Most animals have bilateral symmetry. Which plane splits the body into left and right halves?Read the answer and worked solution →A point on the perpendicular bisector of XY is 7 cm from X. How far is it from Y?Read the answer and worked solution →How many perpendicular bisectors does a given line segment have?Read the answer and worked solution →To show angle XAB equals angle YAB, triangles ABX and ABY are matched by which rule?Read the answer and worked solution →What defines a regular polygon?Read the answer and worked solution →A 30 degree angle is built from the 60 degree angle of an equilateral triangle. Which step produces it?Read the answer and worked solution →A 120 degree angle is built from the 60 degree construction by which step?Read the answer and worked solution →How many equal squares meet at each point when squares tile the plane?Read the answer and worked solution →

Worked practice questions

Each side of a regular hexagon is 4 cm. A thread runs once around its edge. How long is the thread?

  1. 20 cm
  2. 16 cm
  3. 28 cm
  4. 24 cm
Show answer and solution

Correct answer: D. 24 cm

A regular hexagon has 6 equal sides, so the perimeter is 6 times 4, which is 24 cm.

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A regular hexagon of side 5 cm is built from six equilateral triangles. How far is each vertex from the centre?

  1. 5 cm
  2. 2.5 cm
  3. 10 cm
  4. 7.5 cm
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Correct answer: A. 5 cm

Each triangle is equilateral with side 5 cm, so the centre-to-vertex distance equals the side, 5 cm.

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A regular hexagon has side 6 cm. What is the length of a line joining opposite corners through the centre?

  1. 6 cm
  2. 9 cm
  3. 12 cm
  4. 18 cm
Show answer and solution

Correct answer: C. 12 cm

The line is made of two sides of equilateral triangles, each 6 cm, so it is 12 cm long.

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More Mathematics topics

Data interpretation and analysisRational numbersSimple Linear EquationsPerimeter and areaTriangles and congruence of trianglesIntegersFractions and DecimalsFactors and Multiples