10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A): A regular hexagon of side 4 cm has perimeter 24 cm.
Reason (R): Its perimeter is twice its side length.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 2 of 10

A six-pointed star is formed from a regular hexagon. Why is each outer point an equilateral triangle?

A It has one \(120°\) angle. B Its base is a hexagon diagonal twice the side. C Its three angles are each \(60°\). D Any three sides drawn from a hexagon are equal.

Select one option. Answers are shown after the test.

Question 3 of 10

A \(4\times4\) board has two opposite corner squares removed. Can it be tiled by dominoes?

A Yes; 14 squares always need 7 dominoes. B Yes; opposite corners have opposite colours. C No; the removed corners have the same colour, leaving unequal colour counts. D No; its remaining area is odd.

Select one option. Answers are shown after the test.

Question 4 of 10

The two-stage diagram shows a \(120°\) angle being bisected and the resulting angle being copied into a corresponding position. What relationship is created between the two base lines?

A They are perpendicular. B They meet at \(120°\). C No relationship follows. D They are parallel.

Select one option. Answers are shown after the test.

Question 5 of 10

Line \(AB\) is the perpendicular bisector of \(XY\) and meets it at \(O\). If \(XY=14\) cm, what is \(OY\)?

A 14 cm B 7 cm C 28 cm D 3.5 cm

Select one option. Answers are shown after the test.

Question 6 of 10

Assertion (A): Bisecting a \(90°\) angle produces \(45°\).
Reason (R): A \(4\times6\) grid needs 12 dominoes.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 7 of 10

How many \(60°\) equilateral-triangle corners fit exactly around one point?

A 3 B 4 C 6 D 8

Select one option. Answers are shown after the test.

Question 8 of 10

Above XY, equal 7 cm arcs from X and Y meet at A. Below XY, equal 9 cm arcs meet at B. Does AB still bisect XY perpendicularly?

A No; all four arcs must use one radius. B No; only the upper pair matters. C Only if \(XY=16\) cm. D Yes; each point is separately equidistant from X and Y.

Select one option. Answers are shown after the test.

Question 9 of 10

On a checkerboard-coloured grid, what does every \(2\times1\) domino cover?

A Two black squares. B One black and one white square. C Two white squares. D A colour chosen by its orientation.

Select one option. Answers are shown after the test.

Question 10 of 10

Why can a \(5\times7\) grid not be tiled by \(2\times1\) dominoes?

A Its perimeter is 24 units. B It has 35 squares, which cannot be split into pairs. C It has more rows than columns. D Every domino would need to be vertical.

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)