Constructions and Tilings — Practice Quiz
CBSE · Class 7 · Mathematics
Try a 4-question quiz on Constructions and Tilings for CBSE Class 7 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Constructions and Tilings
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A line segment XY is 18 cm long. Points A and B are chosen so that AX = AY = BX = BY = 11 cm. Find the length of OX if O is the midpoint where AB meets XY.
A 4 cm wide strip is used to build a regular hexagon by placing 6 congruent equilateral triangles around one point. Find the total angle around the centre that is covered by the 6 triangle angles.
A 5 × 7 grid has 35 unit squares. If each 2 × 1 tile covers exactly 2 unit squares, how many unit squares are left uncovered after using 17 tiles?
An angle of 90° is bisected to make a smaller angle. Find the measure of the smaller angle.
Sample Questions
A black-and-white tiled region has 8 white squares and 6 black squares. How many more white squares are there than black squares?
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2 more white squares
Subtract the smaller count from the larger count: 8 - 6 = 2. So there are 2 more white squares than black squares.
A line segment XY is 24 cm long. A perpendicular bisector is constructed. Find the distance from X to the midpoint O.
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12 cm
A perpendicular bisector passes through the midpoint. So OX = XY ÷ 2 = 24 ÷ 2 = 12 cm.
In an angle-copying construction, triangle ABC is congruent to triangle XYZ by SSS. If AB = 6 cm, AC = 5 cm, and BC = 4 cm, what is YZ?
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4 cm
In SSS congruence, matching sides are equal. Since BC corresponds to YZ, YZ = 4 cm.
A regular hexagon is formed by 6 equilateral triangles. If each triangle has sides of 5 cm, what is the length of one side of the hexagon?
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5 cm
In the regular hexagon made from 6 equilateral triangles, each outer side is one side of a triangle. So the hexagon side length is 5 cm.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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