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Mensuration: Area and Perimeter: Final Assessment

Section A: Core Review

Question 1mcq
Find the perimeter of a rectangle of length 12 cm12\,cm and breadth 5 cm5\,cm.
A.60 cm60\,cm
B.17 cm17\,cm
C.34 cm34\,cm
D.24 cm24\,cm
Question 2mcq
Find the perimeter of a rectangle of length 12 cm12\,cm and breadth 5 cm5\,cm.
A.24 cm24\,cm
B.34 cm34\,cm
C.60 cm60\,cm
D.17 cm17\,cm
Question 3mcq
Which term means a line segment joining two points on a circle?
A.Chord
B.Radius
C.Sector
D.Tangent only
Question 4mcq
Find the perimeter of a rectangle of length 12 cm12\,cm and breadth 5 cm5\,cm.
A.60 cm60\,cm
B.34 cm34\,cm
C.17 cm17\,cm
D.24 cm24\,cm
Question 5mcq
Which term means a line segment joining two points on a circle?
A.Tangent only
B.Chord
C.Radius
D.Sector
Question 6mcq
Which angle is acute?
A.45∘45^\circ
B.90∘90^\circ
C.180∘180^\circ
D.120∘120^\circ
Question 7mcq
In a review question, which angle is acute?
A.90∘90^\circ
B.120∘120^\circ
C.180∘180^\circ
D.45∘45^\circ
Question 8mcq
Which angle is acute?
A.180∘180^\circ
B.120∘120^\circ
C.90∘90^\circ
D.45∘45^\circ

Section B: Application and Reasoning

Question 9mcq
Which angle is acute?
A.180∘180^\circ
B.90∘90^\circ
C.45∘45^\circ
D.120∘120^\circ
Question 10mcq
In a review question, which angle is acute?
A.45∘45^\circ
B.180∘180^\circ
C.90∘90^\circ
D.120∘120^\circ
Question 11mcq
Which angle is acute?
A.45∘45^\circ
B.120∘120^\circ
C.90∘90^\circ
D.180∘180^\circ
Question 12mcq
Using Heron’s formula, what is the semi-perimeter of a triangle with sides 5 cm5\,cm, 6 cm6\,cm, and 7 cm7\,cm?
A.8 cm8\,cm
B.9 cm9\,cm
C.18 cm18\,cm
D.10 cm10\,cm
Question 13mcq
A student is practising Historical Area Ideas. Which statement best matches the idea: Explain the classical problem of squaring a shape?
A.Use the correct definition or theorem and justify each step with mathematical reasoning.
B.Ignore the given conditions and choose any formula.
C.Use only a guess because diagrams are always exact.
D.Change the question so the answer becomes easier.
Question 14mcq
A Sulbasutra-style construction of a square with a given side mainly shows:
A.Geometry can solve practical construction problems step by step.
B.Only decimal expansion of fractions.
C.Only probability experiments.
D.That squares cannot be constructed.
Question 15mcq
Which term means a line segment joining two points on a circle?
A.Radius
B.Chord
C.Sector
D.Tangent only
Question 16mcq
In a review question, which term means a line segment joining two points on a circle?
A.Radius
B.Tangent only
C.Chord
D.Sector

Section C: Challenge and Mixed Practice

Question 17mcq
Find the area of a 90∘90^\circ sector of a circle with radius 7 cm7\,cm using π=227\pi=\frac{22}{7}.
A.154 cm2154\,cm^2
B.77 cm277\,cm^2
C.38.5 cm238.5\,cm^2
D.22 cm222\,cm^2
Question 18mcq
Find the perimeter of a rectangle of length 12 cm12\,cm and breadth 5 cm5\,cm.
A.17 cm17\,cm
B.60 cm60\,cm
C.34 cm34\,cm
D.24 cm24\,cm
Question 19mcq
In a review question, which quadrilateral must have both pairs of opposite sides parallel?
A.Kite
B.Any trapezium
C.Parallelogram
D.Any irregular quadrilateral
Question 20mcq
Brahmagupta’s formula applies directly to the area of which figure?
A.Any straight line
B.Only a non-cyclic pentagon
C.Only a cube
D.A cyclic quadrilateral
Question 21mcq
Using Heron’s formula, what is the semi-perimeter of a triangle with sides 5 cm5\,cm, 6 cm6\,cm, and 7 cm7\,cm?
A.9 cm9\,cm
B.18 cm18\,cm
C.8 cm8\,cm
D.10 cm10\,cm
Question 22mcq
Find the perimeter of a rectangle of length 12 cm12\,cm and breadth 5 cm5\,cm.
A.24 cm24\,cm
B.17 cm17\,cm
C.34 cm34\,cm
D.60 cm60\,cm
Question 23mcq
Find the perimeter of a rectangle of length 12 cm12\,cm and breadth 5 cm5\,cm.
A.34 cm34\,cm
B.17 cm17\,cm
C.24 cm24\,cm
D.60 cm60\,cm
Question 24mcq
Find the perimeter of a rectangle of length 12 cm12\,cm and breadth 5 cm5\,cm.
A.34 cm34\,cm
B.60 cm60\,cm
C.24 cm24\,cm
D.17 cm17\,cm