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St. Xavier’s School, Akbarpur Ambedkar Nagar, Unit Test, , Class- 7th, Subject: - Mathematics, M.M.40, , TIME:- 2hrs, , Instructions:*All questions are compulsory., *Question paper consists of two section A and B., * Section A comprises questions of 2 marks each and Section B comprises questions of 4 marks each., Section A, 1. Define :(2*3=6), a) Orthocentre and, b) Circumcentre of a triangle., c) Concave quadrilateral., 2. Define Pythagoras Theorem with example., 3. Write down the formula for profit percentage., 4. Raju sold a chair at a gain of 5%. Had he stood it for Rupee 9 less he would have lost 7%. Find the cost, price of the chair., 5. A person gain 20% by selling an article for rupees. At what price must he sell it to gain 10%?, 6. Construct a triangle ABC such that BC = 6.2 cm,AB= 5 cm and AC= 4.1 cm., 7. Define Pythagorean triplet with example., 8. Define ASA congruence condition., , Section B, 9. A ladder 17 M long reaches a wall 15 m high. How far is the food of ladder from the wall?, 10. Artery 90 cm high broke at a point but did not separate. Its top touched the ground at a distance of 27 cm, from its base. Find the height of the point from the ground at which the tree broke., 11. In triangle ABC and PQR in which AB= PQ and angle at A , B , P and R are respectively 40 degree 60 degree, 40 degree and 80 degree prove that Triangles are congruent., 12. Two angles of quadrilateral are measure 80 degrees each. The other two angles are also equal. What is, the measure of either of these two angles?, 13. Prove that the diagonals of an isosceles trapezium are equal.