Homework Practice

Printable assignment

Mensuration: Area and Perimeter: Final Assessment

Section A: Core Review

Question 1mcq

Which method is most appropriate for checking a mathematical answer?

A.Substitute the answer back into the original condition.

B.Choose the longest option.

C.Ignore the units.

D.Use only the diagram's appearance.

Question 2mcq

Which method is most appropriate for checking a mathematical answer?

A.Use only the diagram's appearance.

B.Choose the longest option.

C.Ignore the units.

D.Substitute the answer back into the original condition.

Question 3mcq

If two chords of a circle are equidistant from the centre, what can be concluded?

A.The chords are diameters.

B.The chords are perpendicular.

C.The chords are equal in length.

D.The chords meet at the centre.

Question 4mcq

What is the diameter of a circle whose radius is

7\,cm

7\,cm

14\,cm

21\,cm

49\,cm

Question 5mcq

A cyclic quadrilateral has one angle equal to

70^\circ

. What is the measure of its opposite angle?

110^\circ

70^\circ

90^\circ

140^\circ

Question 6mcq

In a circle, a perpendicular from the centre to a chord meets the chord at

M

. What must be true about the chord?

A.The centre lies on the chord.

B.The chord becomes a diameter.

C.The chord has length equal to the radius.

M

bisects the chord.

Question 7mcq

Which method is most appropriate for checking a mathematical answer?

A.Ignore the units.

B.Choose the longest option.

C.Substitute the answer back into the original condition.

D.Use only the diagram's appearance.

Question 8mcq

Which method is most appropriate for checking a mathematical answer?

A.Choose the longest option.

B.Substitute the answer back into the original condition.

C.Ignore the units.

D.Use only the diagram's appearance.

Section B: Application and Reasoning

Question 9mcq

Which method is most appropriate for checking a mathematical answer?

A.Substitute the answer back into the original condition.

B.Choose the longest option.

C.Ignore the units.

D.Use only the diagram's appearance.

Question 10mcq

Which method is most appropriate for checking a mathematical answer?

A.Use only the diagram's appearance.

B.Choose the longest option.

C.Ignore the units.

D.Substitute the answer back into the original condition.

Question 11mcq

Which method is most appropriate for checking a mathematical answer?

A.Ignore the units.

B.Choose the longest option.

C.Substitute the answer back into the original condition.

D.Use only the diagram's appearance.

Question 12mcq

Which method is most appropriate for checking a mathematical answer?

A.Choose the longest option.

B.Substitute the answer back into the original condition.

C.Ignore the units.

D.Use only the diagram's appearance.

Question 13mcq

Which approach correctly demonstrates 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.That squares cannot be constructed.

B.Only decimal expansion of fractions.

C.Only probability experiments.

D.Geometry can solve practical construction problems step by step.

Question 15mcq

Which term means a line segment joining two points on a circle?

A.Radius

B.Sector

C.Chord

D.Tangent only

Question 16mcq

Which term means a line segment joining two points on a circle?

A.Radius

B.Chord

C.Tangent only

D.Sector

Section C: Challenge and Mixed Practice

Question 17mcq

Find the area of a

90^\circ

sector of a circle with radius

7\,cm

using

\pi=\frac{22}{7}

38.5\,cm^{2}

77\,cm^{2}

154\,cm^{2}

22\,cm^{2}

Question 18mcq

If two chords of a circle are equidistant from the centre, what can be concluded?

A.The chords meet at the centre.

B.The chords are perpendicular.

C.The chords are diameters.

D.The chords are equal in length.

Question 19mcq

Which method is most appropriate for checking a mathematical answer?

A.Ignore the units.

B.Choose the longest option.

C.Substitute the answer back into the original condition.

D.Use only the diagram's appearance.

Question 20mcq

Brahmagupta’s formula applies directly to the area of which figure?

A.Any straight line

B.A cyclic quadrilateral

C.Only a cube

D.Only a non-cyclic pentagon

Question 21mcq

Using Heron’s formula, what is the semi-perimeter of a triangle with sides

5\,cm

6\,cm

, and

7\,cm

9\,cm

18\,cm

8\,cm

10\,cm

Question 22mcq

A cylinder has radius

7\,cm

and height

12\,cm

. Using

\pi=\frac{22}{7}

, what is its volume?

2002\,cm^{3}

528\,cm^{3}

154\,cm^{3}

1848\,cm^{3}

Question 23mcq

Which method is most appropriate for checking a mathematical answer?

A.Ignore the units.

B.Choose the longest option.

C.Substitute the answer back into the original condition.

D.Use only the diagram's appearance.

Question 24mcq

Which method is most appropriate for checking a mathematical answer?

A.Choose the longest option.

B.Substitute the answer back into the original condition.

C.Ignore the units.

D.Use only the diagram's appearance.