Series RTEQ.P. Code 38/1/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 1
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
What is the square of 9?
2.1
What is the cube of 4?
3.1
Is 144 a perfect square? Write its square root.
4.1
Express 8 as a power of 2.
5.1
How many unit squares are needed to make a square of side 7?
6.1
What is the value of 5⁰?
7.1
Write 10⁻² as a fraction.
8.1
In the expression 6⁴, identify the base and exponent.
9.1
Express 20800 in scientific notation.
10.1
What is (−1)⁵⁶?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
Find the square of 25 using the identity (a+b)² = a² + 2ab + b².
12.2
Is 1000 a perfect cube? Justify your answer.
13.2
Simplify: 4⁵ ÷ 4³ and write in exponential form.
14.2
Simplify: 3² × 3⁻⁵ × 3⁶
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
Find the square of 99 without direct multiplication using a suitable identity.
16.3
Express 648 as a product of prime factors in exponential form.
17.3
A sheet of paper is 0.001 cm thick. After how many folds will its thickness exceed 1 cm? Show working.
18.3
Write the following in exponential form and find the value: (i) 2 × 2 × a × a (ii) a × a × a × c × c × c × c × d
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
There are 5 bottles in a container. Every day a new container is brought in with the same number of bottles as the total so far. How many bottles will there be after 40 days? Express in scientific notation.
20.5
The global human population is 8.2 × 10⁹ and the estimated number of ants is 2 × 10¹⁶. (i) How many ants are there per human? (ii) If ants were arranged in a line 1 cm apart, how long would the line be in km? Express answers in scientific notation.
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