Series RTEQ.P. Code 70/-1/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 2
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 a perfect number? Give one example.
2.1
Write all composite numbers between 10 and 20.
3.1
What is the LCM of 5, 10 and 15?
4.1
Is 91 a prime number? Verify.
5.1
What is the HCF of two consecutive numbers?
6.1
What is the median of a data set?
7.1
What is the mode of a data set?
8.1
Find the mean of: 12, 15, 18, 21, 24.
9.1
In a pie chart representing 60 students, a sector for cricket covers 120 degrees. How many students like cricket?
10.1
What type of graph is best for showing change over time?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
Find the LCM and HCF of 36 and 48. Verify that LCM x HCF = product of the two numbers.
12.2
Find the greatest number that divides 180 and 252 leaving remainder 0. Also find how many times each number contains this greatest divisor.
13.2
The ages of 8 students are: 11, 12, 11, 13, 12, 11, 14, 12. Find the mean, median and mode.
14.2
The monthly rainfall in cm for 6 months: Jan 2, Feb 3, Mar 1, Apr 5, May 8, Jun 12. (a) Find average rainfall. (b) In how many months was rainfall above average? (c) What is the range?
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
Three friends Anu, Binu and Chinu start running around a circular track together. Anu takes 6 minutes, Binu takes 8 minutes and Chinu takes 12 minutes to complete one round. (a) After how many minutes will they meet again at the starting point? (b) How many rounds will each have completed? (c) If the track is 400 m long, how far has each run?
16.3
A shopkeeper has three types of items: 144 pens, 180 pencils and 108 erasers. He wants to pack them into identical boxes with no items left over and each box having the same number of each type. (a) Find the maximum number of boxes. (b) How many of each item per box? (c) What mathematical concept is used? (d) Verify using prime factorisation.
17.3
Class 6A scores in a test: 45, 72, 68, 55, 80, 92, 61, 48, 75, 83. (a) Find mean score. (b) Find median. (c) How many scored above mean? (d) What is the range? (e) If pass mark is 60 how many failed?
18.3
A school collected data on students transport: Walk 80, Cycle 60, Bus 100, Car 40, Auto 20. (a) Find total students. (b) Draw a bar graph with proper title and labels. (c) What fraction travel by bus? (d) What percentage walk to school? (e) If the data is shown in a pictograph where one symbol = 20 students, how many symbols for each category?
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
(a) Find all prime numbers between 1 and 50 using Sieve of Eratosthenes. (b) How many prime numbers are there between 1 and 50? (c) Find the sum of all prime numbers between 20 and 40. (d) Express 50 as sum of two primes in two different ways. (e) Find the HCF and LCM of the smallest and largest prime numbers you found between 1 and 50.
20.5
The pocket money (in Rs) of 10 students per week: 50, 100, 75, 200, 50, 150, 75, 100, 50, 125. (a) Find mean median and mode. (b) Which measure best represents the data and why? (c) If one student gets Rs 500 instead of Rs 200 how does mean change? (d) Does the median change? (e) Draw a bar graph and identify which student is the outlier.
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