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Olympiad (Class 5) Symmetry and data handling — practice questions

Explore 57 free Symmetry and data handling questions in Olympiad (Class 5) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Symmetry and data handling questions and exercises with answers

Showing questions 1–30 of 57.

A square sheet of paper is folded in half so that all its edges match exactly. How many different fold lines work?Read the answer and worked solution →Which of these shapes has the greatest number of lines of symmetry?Read the answer and worked solution →A triangle has exactly one line of symmetry. What kind of triangle is it?Read the answer and worked solution →A kite with unequal neighbouring sides has how many lines of symmetry?Read the answer and worked solution →Meera folds a paper heart along its centre so that the two halves match. What is that fold line called?Read the answer and worked solution →A rectangle that is not a square has how many lines of symmetry?Read the answer and worked solution →Which plain block capital letter has both a vertical and a horizontal line of symmetry?Read the answer and worked solution →A hexagonal nut has six equal sides and six equal angles. Along how many different lines can it be folded to match exactly?Read the answer and worked solution →Each fold line of a regular pentagon joins a corner to the middle of the opposite side. How many such lines are there?Read the answer and worked solution →An equilateral triangle has 3 lines of symmetry and a square has 4. How many lines do the two have together?Read the answer and worked solution →How many lines of symmetry can a round coin have?Read the answer and worked solution →A square card is turned about its centre. Through what smallest angle does it first look unchanged?Read the answer and worked solution →A square turns fully round its centre. In how many positions does it look the same?Read the answer and worked solution →Which quadrilateral looks the same after a half turn but has no line of symmetry?Read the answer and worked solution →Which shape looks the same after turning through any angle about its centre?Read the answer and worked solution →A hexagonal nut has six equal sides. What is the smallest turn about its centre that makes it look unchanged?Read the answer and worked solution →What is the smallest turn that leaves an equilateral triangle unchanged?Read the answer and worked solution →Through what smallest turn about its centre does a plain block capital Z look the same again?Read the answer and worked solution →What is the smallest turn leaving a 5-bladed fan, blades evenly spaced, unchanged?Read the answer and worked solution →A dot lies 3 cm from the line of symmetry of a shape. How far from that line is its matching dot on the other side?Read the answer and worked solution →A stop sign is a regular octagon with 8 equal sides. How many lines of symmetry does it have?Read the answer and worked solution →An isosceles trapezium has how many lines of symmetry?Read the answer and worked solution →A tally of 13 votes: how many full bundles of five and loose strokes?Read the answer and worked solution →A tally shows 4 full bundles of five and 2 loose strokes. How many items were counted?Read the answer and worked solution →Why are tally marks usually drawn in bundles of five?Read the answer and worked solution →Four friends scored 8, 12, 14 and 18 in a game. What was their average score?Read the answer and worked solution →Five children have an average of Rs 20 pocket money each. What is the total money they have?Read the answer and worked solution →Five numbers have a mean of 12. Four of them are 10, 11, 13 and 15. What is the fifth number?Read the answer and worked solution →Three quiz marks have a mean of 70. A fourth mark of 90 is added. What is the new mean?Read the answer and worked solution →Four tests give a mean of 18. A fifth test scores 28. What is the mean of all five tests?Read the answer and worked solution →

Worked practice questions

A square sheet of paper is folded in half so that all its edges match exactly. How many different fold lines work?

  1. 4
  2. 2
  3. 6
  4. 8
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Correct answer: A. 4

Two folds along the middle lines and two along the diagonals make the edges match, giving four lines.

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Which of these shapes has the greatest number of lines of symmetry?

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

Correct answer: B. Circle

Every line through the centre of a circle folds it onto itself, so it has endlessly many, more than the others.

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A triangle has exactly one line of symmetry. What kind of triangle is it?

  1. Scalene
  2. Equilateral
  3. Isosceles
  4. Right scalene
Show answer and solution

Correct answer: C. Isosceles

A triangle with a mirror line has two equal sides on either side of that line, which makes it isosceles.

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