Series RTEQ.P. Code 76/1/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 5
Time allowed : 1½ HoursMaximum Marks : 40
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 20 questions. All questions are compulsory.
(ii)This question paper is divided into four sections – A, B, C and D.
(iii)In Section A, Question numbers 1 to 10 carry 1 mark each.
(iv)In Section B, Question numbers 11 to 14 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 15 to 18 are short answer (SA) type questions carrying 03 marks each.
(vi)In Section D, Question numbers 19 to 20 are long answer (LA) type questions carrying 05 marks each.
(vii)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(viii)Use of calculators is not allowed.
SECTION A
This section comprises 10 questions of 1 mark each.
1.1
State the Baudhayana-Pythagoras Theorem.
2.1
What is a Baudhayana triple (or Pythagorean triple)?
3.1
Between which two whole numbers does √2 lie?
4.1
Who proved Fermat's Last Theorem, and in what year?
5.1
What does RF stand for on a map scale?
6.1
What is the total angle in a full circle used for pie chart calculations?
7.1
Two quantities x and y are in inverse proportion if which relation holds?
8.1
When dividing quantity x in ratio a:b:c, what is the formula for the first part?
9.1
What is a "primitive" Baudhayana triple?
10.1
As speed increases for a fixed distance, what happens to travel time?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
A right triangle has legs 3 cm and 4 cm. Find its hypotenuse.
12.2
A right triangle has one leg of 8 cm and hypotenuse 17 cm. Find the third side.
13.2
Purple paint uses Red:Blue:White in ratio 2:3:5. If white paint is 10 litres, find the red paint needed.
14.2
20 workers take 4 days to complete a road. How many days will 10 workers take?
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
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.
16.3
A rhombus has diagonals of length 24 and 70 units. Find its sidelength.
17.3
Grades A,B,C,D,E have student counts 12,10,8,6,4. Find the pie chart angle for Grade A, showing all steps.
18.3
Ram takes 1 hour to cut vegetables; Shyam takes 1.5 hours for the same task. Find how long they take working together, showing your work.
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
Prove that if (a,b,c) is a Baudhayana triple, then (ka,kb,kc) is also a Baudhayana triple for any positive integer k.
20.5
A factory needs 42 machines to produce toys in 63 days. How many machines are needed to produce the same toys in 54 days? Show your work.
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