Sub-topic 1
2024 · National Preliminary
Free
Side of a rhombus with diagonals $20$ cm and $30$ cm
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Sub-topic 2
2025 · National One-Eighth
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If the diagonals bisect the vertex angles, is the quadrilateral a parallelogram, square or rectangle? (true/false)
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Sub-topic 3
2025 · National One-Eighth
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Area of a rhombus with side $13$ cm and diagonal $10$ cm
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Sub-topic 4
2023 · National Preliminary
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Angles $x+45^\circ$, $2x-15^\circ$, $2x-20^\circ$, $x-10^\circ$ of a quadrilateral
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Sub-topic 5
2023 · National Preliminary
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What bisecting diagonals guarantee about a quadrilateral (true/false)
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Sub-topic 6
2012 · National Preliminary
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An equilateral quadrilateral need not be equiangular (true/false)
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Sub-topic 7
2012 · National Preliminary
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A rhombus is a parallelogram (true/false)
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Sub-topic 8
2013 · National Preliminary
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The interior angle of a regular quadrilateral is $90^\circ$, not a straight angle (true/false)
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Sub-topic 9
2013 · National Preliminary
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The diagonals of a rectangle bisect each other but not perpendicularly (true/false)
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Sub-topic 10
2013 · National Preliminary
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Which diagonal of a kite bisects its end angles (true/false)
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Sub-topic 11
2013 · National Preliminary
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Which diagonal of a kite bisects its end angles (true/false)
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Sub-topic 12
2013 · National Preliminary
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Riddles: the kite
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Sub-topic 13
2013 · National Preliminary
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Area of a square of perimeter $48$ cm
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Sub-topic 14
2013 · National Preliminary
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Perimeter of a square of area $8$ cm$^2$
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Sub-topic 15
2013 · National Preliminary
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Riddles: the quadrilateral and other polygons
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Sub-topic 16
2013 · National Semifinal
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Riddles: the quadrilateral family
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Sub-topic 17
2014 · National Quarterfinal
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A general parallelogram's diagonals do not bisect its angles (true/false)
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Sub-topic 18
2014 · National Quarterfinal
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A kite's diagonals are perpendicular (true/false)
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Sub-topic 19
2014 · National Quarterfinal
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A rhombus's diagonals bisect its angles (true/false)
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Sub-topic 20
2016 · National One-Eighth
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A parallelogram with a right angle need not be a square (true/false)
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Sub-topic 21
2016 · National One-Eighth
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A parallelogram with two adjacent equal sides is a rhombus (true/false)
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Sub-topic 22
2016 · National One-Eighth
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A square is a rectangle (true/false)
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Sub-topic 23
2016 · National Preliminary
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A trapezium is not a parallelogram (true/false)
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Sub-topic 24
2018 · National Preliminary
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Diagonals of a parallelogram bisect each other (true/false)
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Sub-topic 25
2018 · National Preliminary
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Diagonals of a rhombus are perpendicular and bisect the vertex angles (true/false)
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Sub-topic 26
2020 · National One-Eighth
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Diagonals of a kite are perpendicular but do not bisect each other (true/false)
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Sub-topic 27
2021 · National Semifinal
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Other two angles of a cyclic quadrilateral with angles $53^\circ$ and $115^\circ$
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Sub-topic 28
2022 · National Preliminary
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Angles in radians of a quadrilateral in the ratio $3:4:5:6$
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Sub-topic 29
2022 · National Preliminary
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Angles in radians of a quadrilateral in the ratio $1:2:3:4$
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Sub-topic 30
2022 · National Preliminary
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Angles in radians of a quadrilateral in the ratio $3:5:7:9$
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Sub-topic 31
2022 · National Preliminary
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Diagonals bisecting the vertex angles: is it a kite? (true/false)
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Sub-topic 32
2022 · National Preliminary
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Diagonals bisecting the vertex angles: is it a square? (true/false)
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Sub-topic 33
2022 · National Preliminary
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Diagonals bisecting the vertex angles: is it a rhombus? (true/false)
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Sub-topic 34
2023 · National Preliminary
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Riddles: the rhombus and square, with diagonals that bisect each other perpendicularly
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