EWT | Academic Question

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Question (11)
QN0033237
A design has rotational symmetry at 90°, 180°, and 270°. How many equal positions make the design appear unchanged in one full turn?
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: C
Explanation:

It matches at four positions in one complete rotation.

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Question (12)
QN0033238
Which activity from the chapter mainly uses carved wooden blocks to create repeated patterns?
  • (A) Paper folding
  • (B) Block printing
  • (C) Paper weaving
  • (D) Paper tearing

Correct Answer: B
Explanation:

Block printing uses carved wooden blocks.

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Question (13)
QN0033239
A student creates a pattern that has reflection symmetry but fails to match after any rotation except a full turn. Which statement is true?
  • (A) The pattern has only reflection symmetry.
  • (B) The pattern has quarter-turn symmetry.
  • (C) The pattern has half-turn symmetry.
  • (D) The pattern has both symmetries.

Correct Answer: A
Explanation:

Reflection symmetry does not always imply rotational symmetry.

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Question (14)
QN0033240
Which of the following is the best way to check whether a paper design has rotational symmetry?
  • (A) Measure its sides.
  • (B) Fold it once.
  • (C) Turn it about its centre.
  • (D) Count its corners.

Correct Answer: C
Explanation:

Rotational symmetry is verified by rotating the design.

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Question (15)
QN0033241
A decorative rangoli looks the same after every quarter turn and also has mirror lines. Which statement is correct?
  • (A) It has only rotational symmetry.
  • (B) It has only reflection symmetry.
  • (C) It has both rotational and reflection symmetry.
  • (D) It has no symmetry.

Correct Answer: C
Explanation:

It satisfies both types of symmetry.

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Question (16)
QN0033242
If a figure has exactly one vertical line of symmetry, which of the following changes will definitely destroy that symmetry?
  • (A) Colouring both halves identically
  • (B) Removing a small part from only one side
  • (C) Folding along the symmetry line
  • (D) Drawing equal shapes on both sides

Correct Answer: B
Explanation:

Unequal changes on one side break symmetry.

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Question (17)
QN0033243
A paper design has rotational symmetry of order 4. Through what smallest angle can it be turned to look the same?
  • (A) 45°
  • (B) 90°
  • (C) 180°
  • (D) 360°

Correct Answer: B
Explanation:

Smallest angle = 360° ÷ 4 = 90°.

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Question (18)
QN0033244
Which of the following best explains why symmetry is useful in making paper cutouts?
  • (A) It reduces the amount of drawing needed.
  • (B) It increases the paper size.
  • (C) It changes the colour automatically.
  • (D) It avoids using scissors.

Correct Answer: A
Explanation:

Symmetry allows only a part of the figure to be drawn.

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Question (19)
QN0033245
A student rotates a symmetrical design by 180° and notices that it matches the original, but it does not match at 90°. What type of rotational symmetry does the design have?
  • (A) Quarter-turn symmetry
  • (B) Half-turn symmetry
  • (C) No rotational symmetry
  • (D) Eight-fold symmetry

Correct Answer: B
Explanation:

Matching only after 180° indicates half-turn symmetry.

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Question (20)
QN0033246
Which of the following chapter activities combines mathematics with art by creating repeated symmetrical patterns?
  • (A) Long division
  • (B) Block printing
  • (C) Measuring capacity
  • (D) Reading clocks

Correct Answer: B
Explanation:

Block printing uses symmetry to create decorative repeated designs.

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