Series RTEQ.P. Code 92/0/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 9: The Baudhayana-Pythagoras Theorem
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
State the Baudhayana-Pythagoras Theorem.
2.1
What is a Baudhayana triple (or Pythagorean triple)?
3.1
Who proved Fermat's Last Theorem, and in what year?
4.1
Between which two whole numbers does √2 lie?
5.1
What is a "primitive" Baudhayana triple?
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
A right triangle has legs 3 cm and 4 cm. Find its hypotenuse.
7.2
Find the hypotenuse of an isosceles right triangle with equal sides of length 12.
8.2
A right triangle has one leg of 8 cm and hypotenuse 17 cm. Find the third side.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Prove that if (a,b,c) is a Baudhayana triple, then (ka,kb,kc) is also a Baudhayana triple for any positive integer k.
10.3
In the Lilavati lotus problem, a lotus stem sticks 1 unit above water and touches the water 3 units away when swayed. Find the depth of the lake, showing all steps.
11.3
A rhombus has diagonals of length 24 and 70 units. Find its sidelength, using the property that diagonals of a rhombus bisect each other at right angles.
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