Series RTEQ.P. Code 83/-2/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 7
Time allowed : 1½ HoursMaximum Marks : 40
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 18 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 6 carry 1 mark each.
(iv)In Section B, Question numbers 7 to 12 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 13 to 16 are short answer (SA) type questions carrying 03 marks each.
(vi)In Section D, Question numbers 17 to 18 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 6 questions of 1 mark each.
1.1
What is the mean of 2, 7, 9, 4, 3?
2.1
What is the median of 118, 165, 170, 173, 175?
3.1
What is an outlier?
4.1
What does bisect mean?
5.1
What angle does a perpendicular bisector make with the segment?
6.1
How many pieces does a standard tangram have?
SECTION B
This section comprises 6 very short answer (VSA) type questions of 2 marks each.
7.2
Find the mean of 3, 8, 10, 5, 4.
8.2
Data set: 10,12,14,16,100. (a) Find the mean. (b) Find the median. (c) Which better represents the data?
9.2
When data has even number of values, how is the median calculated?
10.2
Describe steps to construct the perpendicular bisector of segment XY.
11.2
Can a 4×6 grid be tiled with 2×1 tiles? Explain.
12.2
Explain why a regular hexagon can tile the plane.
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
13.3
A cricketer scored 45,60,30,90,15 runs in 5 matches. (a) Find the mean. (b) Find the median. (c) Identify any outlier.
14.3
A family's heights are 118,165,170,173,175cm. (a) Find the mean. (b) Find the median. (c) If 118 is removed, does mean increase or decrease?
15.3
Describe how to construct a 60-degree angle using compass and ruler, explaining why it works.
16.3
Explain why a 5×7 grid cannot be tiled with 2×1 tiles, using the black-and-white colouring method.
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
17.5
A dot plot shows onion prices over 10 days: 20,22,20,25,20,22,24,20,22,25. (a) Find the mode. (b) Find the mean. (c) Find the median. (d) What does the dot plot help us observe that a table doesn't? (e) Which measure best represents "typical" price here?
18.5
Six equilateral triangles are arranged around a point to form a regular hexagon. (a) Find the angle of each triangle at the centre. (b) Verify angles sum to 360°. (c) Find the interior angle of the resulting hexagon. (d) Explain why this exact fit works. (e) How many lines of symmetry does the resulting hexagon have?
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