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
Solve the cryptarithm AB × 5 = BC. What is B?
2.1
What is the digital root of a number that is a multiple of 9?
3.1
A number is divisible by 11 if the alternating sum of its digits is what?
4.1
What is the sum of all angles in any quadrilateral?
5.1
Define a square using its sides and angles.
6.1
What is a quadrilateral with two pairs of adjacent equal sides called?
7.1
True or False: Every square is a rhombus.
8.1
Find the smallest multiple of 9 with no odd digits.
9.1
What property do the diagonals of a rhombus have regarding the angles of the rhombus?
10.1
In a parallelogram, if one angle is 70°, what is the adjacent angle?
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
Using the alternating sum method, check if 481 is divisible by 11 and find the remainder if not.
12.2
Solve the cryptarithm XY × 4 = ZX. Find X, Y, and Z.
13.2
State two properties of the diagonals of a rectangle.
14.2
In a kite, what does the longer diagonal do to the shorter diagonal?
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
If 48a23b is a multiple of 18, find all possible pairs of values for a and b.
16.3
Determine if this statement is Always/Sometimes/Never true with justification: "The sum of a multiple of 6 and a multiple of 9 is a multiple of 3."
17.3
Prove that if all angles of a quadrilateral are 90°, the opposite sides must be equal.
18.3
A quadrilateral has diagonals that are perpendicular to each other. Is it necessarily a rhombus? Justify.
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
Find a number that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 4 when divided by 5. What is the smallest such number, and why?
20.5
Prove that the diagonals of a rectangle are equal in length, using congruence.
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