PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S
in the ratio 2:3. Find ∠TPQ.
In a rectangle ABCD, AB = 25 cm and BC = 15. In what ratio does
the bisector of ∠C divide AB?
Of the four quadrilaterals— square, rectangle, rhombus and
trapezium— one is somewhat different from the others because of its
design. Find it and give justification.
Two adjacent angles of a parallelogram are in the ratio 1:3. Find its
angles.
The diagonals of a rhombus are 8 cm and 15 cm. Find its side.
Think, design and develop a card game on conversion of
units of length to play with your friends.
Tasneem wants to make a metre scale by herself. She
considers the following materials for it—plywood, paper,
cloth, stretchable rubber and steel. Which of these should
she not use and why?
You are given a coin. Estimate how many coins are required
to be placed one after the other lengthwise, without
leaving any gap between them, to cover the whole length
of the chosen side of a notebook. Verify your estimate by
measuring the same side of the notebook and the size of the
coin using a 15-cm scale.
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