Series RTEQ.P. Code 44/-1/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 4
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 condition must be satisfied for 3 sides to form a triangle?
2.1
What is the sum of angles in a triangle?
3.1
What type of triangle has all sides equal?
4.1
What is 1/2 × 1/3?
5.1
What is the reciprocal of 3/4?
6.1
What is 4 ÷ 1/2?
SECTION B
This section comprises 6 very short answer (VSA) type questions of 2 marks each.
7.2
Can a triangle be constructed with sides 4cm, 5cm, and 10cm? Explain.
8.2
If two angles of a triangle are 55° and 65°, find the third angle.
9.2
A triangle has sides 9,12,15. Verify if it is right-angled.
10.2
What is 2/3 ÷ 4/9?
11.2
A rope of 3/4m is cut into pieces of 1/8m. How many pieces?
12.2
What is 5/6 × 12?
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
13.3
Describe the steps to construct a triangle when all three sides are given (SSS method).
14.3
An isosceles triangle has two equal sides of 7cm and a base angle of 50°. (a) Find the other base angle. (b) Find the apex angle. (c) Explain why base angles are equal.
15.3
Ravi has 2 1/2m of cloth. He needs 1/4m per bag. (a) Find number of bags. (b) Convert 2 1/2 to improper fraction first.
16.3
A tank is 3/4 full. If 1/5 of the water is used, (a) what fraction is used from total? (b) what fraction remains?
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
17.5
A right-angled triangle has legs 6cm and 8cm. (a) Find hypotenuse. (b) Find area. (c) Explain RHS congruence using this triangle and another right triangle with the same hypotenuse and one equal leg. (d) State the conclusion of RHS congruence.
18.5
A recipe needs 2/3 cup flour per batch. (a) Find flour needed for 5 batches. (b) If only 3 cups available, how many full batches can be made? (c) How much flour is left over after making full batches?
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