Picture-based MCQ Quiz

Question 1 of 5

The diagram shows two equal \(62°\) angles placed in non-corresponding regions. What must be checked before claiming that the candidate line is parallel to m?

A Only whether both arcs used the same colour. B Only whether the two lines have equal drawn lengths. C Whether the equal angles occupy corresponding or alternate positions. D Whether \(62°+62°=180°\).

Select one option. Answers are shown after the test.

Question 2 of 5

A region has 8 black squares and 6 white squares. Can dominoes tile it?

A Yes; 7 dominoes cover any 14 squares. B Yes; rotate the last domino. C No; two black squares would remain unmatched. D No; it needs 14 dominoes.

Select one option. Answers are shown after the test.

Question 3 of 5

The diagram represents an \(8\times11\) rectangle. What is the least number of \(2\times1\) dominoes needed to cover it?

A 19 B 88 C 22 D 44

Select one option. Answers are shown after the test.

Question 4 of 5

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 5 of 5

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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