Series RTEQ.P. Code 51/0/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 6
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
Name the shapes that make up the net of a cylinder.
2.1
Define the mean of a set of values.
3.1
Find the mean of 4, 8, 6, 10 and 12.
4.1
Find the median of 7, 3, 9, 1 and 5.
5.1
Which type of graph is used to show how a quantity changes over time?
6.1
Write the spreadsheet formula that gives the total of the cells B3 to G3.
7.1
What is a fractal?
8.1
How many faces, edges and vertices does a cuboid have?
9.1
State Euler's formula for solids such as prisms and pyramids.
10.1
How many different nets does a cube have?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
Find the number of faces, edges and vertices of a triangular prism and verify Euler's formula.
12.2
In the Sierpinski Carpet, find the number of remaining squares and holes after step 2.
13.2
The mean weight of 10 wrestlers was found to be 39.2 kg. Later it was found that one weight was recorded as 45 kg instead of 54 kg. Find the correct mean.
14.2
Find the median of 12, 15, 9, 20, 18 and 11.
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
Starting with an equilateral triangle of side 1 unit, find the number of sides and the perimeter of the Koch Snowflake after step 2. What happens to the perimeter as the steps continue?
16.3
Describe the net of a cone of radius r and slant height l. Find the angle of the sector when r = 3 cm and l = 9 cm.
17.3
The mean of 5 numbers is 18. When one number is removed, the mean of the remaining numbers becomes 16. Find the number that was removed.
18.3
Explain why the mean is called the balancing point of the data, using the values 10, 10, 11 and 17.
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
For the Sierpinski Triangle, find the number of remaining triangles, the number of holes and the remaining area (as a fraction of the original) at steps 1, 2 and 3. Explain how the counts grow.
20.5
The table shows the number of books read by 20 students: 2 books — 3 students, 3 books — 5 students, 4 books — 6 students, 5 books — 4 students, 6 books — 2 students. (a) Find the mean. (b) Find the median. (c) If every student reads one more book, what will the new mean be?
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