Series RTEQ.P. Code 76/1/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 5
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 symbol for congruence?
2.1
What does CPCT stand for?
3.1
RHS congruence applies to which type of triangle?
4.1
What is (-3) × 4?
5.1
What is (-5) × (-6)?
6.1
What is the additive inverse of -8?
SECTION B
This section comprises 6 very short answer (VSA) type questions of 2 marks each.
7.2
Triangle ABC has AB=5,BC=7,CA=6. Triangle DEF has DE=5,EF=7,FD=6. Are they congruent? By which rule?
8.2
An isosceles triangle has base angles of 55° each. Find the apex angle.
9.2
Two right triangles have equal hypotenuses of 13cm and one equal leg of 5cm. State the congruence rule and conclusion.
10.2
Evaluate: (-3)×4+(-2)×(-5)
11.2
A submarine is at -250m. It rises 120m then dives 80m. Find final depth.
12.2
Evaluate: (-6)÷2+(-4)×3
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
13.3
Triangle PQR has angle P=angle Q=50°, PQ=8cm. Triangle XYZ has angle X=angle Y=50°, XY=8cm. (a) Are they congruent? (b) By which rule? (c) Find angle R and Z.
14.3
An equilateral triangle has side 6cm. (a) Find all angles. (b) Explain why it is also isosceles. (c) Is SSS a valid way to prove two such triangles congruent?
15.3
A shopkeeper has a profit of Rs 450 and a loss of Rs 680. (a) Represent as integers. (b) Find net result. (c) State overall profit or loss.
16.3
Temperature was -8°C, rose 15°C, then dropped 6°C. (a) Temp after rise. (b) Final temp. (c) Net change from start.
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
17.5
Prove that if triangle ABC≅triangle DEF by SAS with AB=DE, angle A=angle D, and AC=DF, find the conclusions using CPCT. (a) Which sides/angles become equal? (b) State the full congruence conclusion. (c) Explain why SAS is sufficient (not requiring all 6 parts to be given).
18.5
A lift moves: down 3 floors, up 7, down 5, up 2 from ground floor(0). (a) Represent each as integers. (b) Find final position. (c) Find highest floor reached. (d) Find lowest floor reached. (e) Find total distance travelled.
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