9th Class Maths Chapter 9 Online Test: 25 MCQs with Answers

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This 9th class maths chapter 9 online test covers Chapter 9 of the Class 9 Mathematics course, Similar Figures. It has 25 multiple-choice questions, shown one at a time, and it marks itself the moment you finish. There is no timer and no sign-up. When you press finish you get your score, and every question is shown again with your answer, the correct option and a short explanation of why that option is right. An Urdu medium version of the same test is given further down this page.

What Chapter 9 Covers

The 25 questions are spread across the whole unit rather than one exercise, so the test is a fair check of whether you are ready for a class test or the annual paper:

  • Similar polygons — equal corresponding angles and proportional corresponding sides.
  • Areas of similar figures — the ratio of areas equals the square of the ratio of corresponding sides.
  • Volumes and masses of similar solids — the ratio of volumes equals the cube of the ratio of lengths.
  • Interior and exterior angles — the sum of interior angles of an n-sided polygon, each exterior angle of a regular polygon, and why exterior angles always total 360°.
  • Finding the number of sides from a given interior or exterior angle.
  • Diagonals of a polygon — the formula n(n − 3)/2, and applying it to a 9-sided polygon.
  • Regular polygons — rotational symmetry, which polygons tessellate, the area of an equilateral triangle, and properties of parallelograms.

Revise These Before You Start

Most marks in this unit are lost on the same few points. Read through these once before attempting the test:

  • Ratio of areas = (ratio of sides)2. Ratio of volumes, capacities and masses = (ratio of lengths)3.
  • The exterior angles of any polygon always add up to 360°, so each exterior angle of a regular n-gon is 360°/n.
  • The interior angles of an n-sided polygon sum to (n − 2) × 180°.
  • A polygon with n sides has n(n − 3)/2 diagonals, so a nonagon has 9 × 6 ÷ 2 = 27.
  • Only the equilateral triangle, the square and the regular hexagon tessellate a plane on their own.
  • A regular polygon with n sides has rotational symmetry of order n.

How the Test Works

  • 25 questions, one at a time, with Next and Previous buttons.
  • No timer, so you can work a calculation out on paper before answering.
  • Automatic marking the moment you finish.
  • Answer review with the correct option and an explanation for every question.
  • Retake as many times as you like, and your score is not stored anywhere.

Start the Chapter 9 Online Test

Decide first whether the question is about lengths, areas or volumes — that one decision fixes whether you square, cube or do neither. Keep a pen and rough paper beside you: the numerical questions are quick, but they are much easier to get right written down than in your head. Aim for 20 out of 25 or better before you move on to the next unit.

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Class 9 Mathematics Chapter 9 Online Test — Similar Figures (English Medium)

1 / 25

The ratio of the areas of two similar polygons is:

2 / 25

If the volume of two similar solids is 125 cm³ and 27 cm³, the ratio of their corresponding heights is:

3 / 25

The exterior angle of regular pentagon is:

4 / 25

A parallelogram has an area of 64 cm² and a similar parallelogram has an area of 144 cm². If a side of the smaller parallelogram is 8 cm, the corresponding side of the larger parallelogram is:

5 / 25

The total number of diagonals in a polygon with 9 sides is:

6 / 25

Two spheres are similar, and their radii are in the ratio 4:5. If the surface area of the larger sphere is 500π cm², what is the surface area of the smaller sphere?

7 / 25

A regular polygon has an exterior angle of 30°. How many diagonals does the polygon have?

8 / 25

In a regular hexagon, the ratio of the length of a diagonal to the side length is:

9 / 25

A regular polygon has an interior angle of 165°. How many sides does it have?

10 / 25

Two polygons are similar if their corresponding angles are equal and their corresponding sides are:

11 / 25

The sum of the interior angles of a polygon with n sides is:

12 / 25

For a regular polygon with n sides, each exterior angle is:

13 / 25

Each interior angle of a regular hexagon is:

14 / 25

The total number of diagonals in a regular polygon with n sides is:

15 / 25

The ratio of the volumes of two similar solids is equal to:

16 / 25

The regular polygons that can tessellate a plane on their own are:

17 / 25

The area of an equilateral triangle with side length s is:

18 / 25

A regular polygon with n sides has rotational symmetry of order:

19 / 25

Each interior angle of a regular decagon is:

20 / 25

If the masses of two similar solids are w₁ and w₂ and their corresponding lengths are ℓ₁ and ℓ₂, then w₁/w₂ equals:

21 / 25

The sum of all the exterior angles of any polygon is:

22 / 25

Two similar bottles are such that one is twice as high as the other. The ratio of their capacities is:

23 / 25

Two polygons are similar with the ratio of their corresponding sides being 3/5. If the area of the smaller polygon is 54 cm², then the area of the larger polygon is:

24 / 25

The perimeter of a regular octagon is 48 cm. Another octagon has sides that are 1.2 times the sides of the first octagon. The length of a side of the second octagon is:

25 / 25

In a parallelogram ABCD, if m∠DAB = 70°, then m∠ABC is:

Your score is

0%

Chapter 9 Online Test — Urdu Medium

Urdu medium students can attempt the same Chapter 9 test with every question, option and explanation written in Urdu. It behaves exactly like the English test above: 25 questions one at a time, no timer, and a full answer review at the end.

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Class 9 Mathematics Chapter 9 Online Test — Similar Figures (Urdu Medium)

1 / 25

دو متشابہ کثیر الاضلاع کے رقبوں کی نسبت:

2 / 25

اگر دو متشابہ اجسام کے حجم 125 cm³ اور 27 cm³ ہوں تو ان کی متناظر بلندیوں کی نسبت ہے:

3 / 25

منظم مخمس کا بیرونی زاویہ ہے:

4 / 25

ایک متوازی الاضلاع کا رقبہ 64 cm² ہے اور اُس کے متشابہ متوازی الاضلاع کا رقبہ 144 cm² ہے۔ اگر چھوٹی متوازی الاضلاع کے ضلع کی لمبائی 8 cm ہو تو بڑی متوازی الاضلاع کے متناظر ضلع کی لمبائی ہے:

5 / 25

ایک نو اضلاع والی کثیر الاضلاع میں کل وتروں کی تعداد ہے:

6 / 25

دو متشابہ کروں کے رداس میں نسبت 4:5 ہے۔ اگر بڑے کرے کی سطح کا رقبہ 500π cm² ہو تو چھوٹے کرے کی سطح کا رقبہ ہے:

7 / 25

ایک منظم کثیر الاضلاع کا بیرونی زاویہ 30° ہو تو کثیر الاضلاع میں وتروں کی تعداد ہے:

8 / 25

ایک منظم مسدس میں وتر کی لمبائی اور ضلع کی لمبائی میں نسبت ہے:

9 / 25

ایک منظم کثیر الاضلاع کا اندرونی زاویہ 165° ہو تو اس کے اضلاع کی تعداد ہے:

10 / 25

دو کثیر الاضلاع متشابہ ہوتی ہیں اگر اُن کے متناظر زاویے برابر ہوں اور متناظرہ اضلاع ہوں:

11 / 25

n اضلاع والی کثیر الاضلاع کے اندرونی زاویوں کا مجموعہ ہے:

12 / 25

n اضلاع والی منظم کثیر الاضلاع کا ہر بیرونی زاویہ ہے:

13 / 25

منظم مسدس کا ہر اندرونی زاویہ ہے:

14 / 25

n اضلاع والی منظم کثیر الاضلاع میں وتروں کی کل تعداد ہے:

15 / 25

دو متشابہ اجسام کے حجموں کی نسبت برابر ہوتی ہے:

16 / 25

وہ منظم کثیر الاضلاع جو اپنے طور پر مستوی پر اقلیدسی اشکال کا سلسلہ بنا سکتے ہیں:

17 / 25

s ضلع لمبائی والی مساوی الاضلاع مثلث کا رقبہ ہے:

18 / 25

n اضلاع والی منظم کثیر الاضلاع کی گردشی تشاکل کا درجہ ہے:

19 / 25

منظم دس اضلاع والی شکل کا ہر اندرونی زاویہ ہے:

20 / 25

اگر دو متشابہ اجسام کی کمیتیں w₁ اور w₂ اور اُن کی متناظرہ لمبائیاں ℓ₁ اور ℓ₂ ہوں تو w₁/w₂ برابر ہے:

21 / 25

کسی بھی کثیر الاضلاع کے تمام بیرونی زاویوں کا مجموعہ ہے:

22 / 25

دو متشابہ بوتلیں اس طرح سے ہیں کہ ایک کی اونچائی دوسری کا دو گنا ہے۔ اُن کی گنجائش میں نسبت ہے:

23 / 25

دو کثیر الاضلاع کے متناظرہ اضلاع کی نسبت 3/5 ہے۔ اگر چھوٹی کثیر الاضلاع کا رقبہ 54 cm² ہو تو بڑی کثیر الاضلاع کا رقبہ ہے:

24 / 25

ایک منظم مثمن کا احاطہ 48 cm ہے۔ ایک دوسرے مثمن کے اضلاع کی لمبائیاں پہلے مثمن کے اضلاع کا 1.2 گنا ہیں۔ دوسرے مثمن کے ضلع کی لمبائی ہے:

25 / 25

ایک متوازی الاضلاع ABCD میں اگر m∠DAB = 70° ہو تو m∠ABC کی مقدار ہے:

Your score is

0%

Mistakes Students Make in This Unit

When you look through your answer review, check whether any of your wrong answers came from these:

  • Using the plain side ratio for areas instead of squaring it, or for volumes instead of cubing it.
  • Using the interior-angle sum formula when the question asks for one angle of a regular polygon.
  • Forgetting that the exterior angles total 360° no matter how many sides there are.
  • Misremembering the diagonal formula as n(n − 1)/2.
  • Assuming any regular polygon tessellates.

What to Do After the Test

A score on its own teaches you very little. Go through the answer review properly and write down the number of every question you got wrong, along with the topic it came from. If two or three of them come from the same section of the unit, that section is what you revise next — not the whole chapter again. Then retake the test a day or two later rather than immediately, because answering correctly from memory is not the same as understanding it. Once you are consistently scoring above 20, move on and come back to this test in your final week of revision.

Frequently Asked Questions

If two similar shapes have sides in the ratio 3:5, what is the ratio of their areas?

Nine to twenty-five, because the area ratio is the square of the side ratio. If the shapes were solids, the volume ratio would be 27:125, the cube of the side ratio.

How do I find the number of sides from an exterior angle?

Divide 360° by the exterior angle. An exterior angle of 30° gives 360 ÷ 30 = 12 sides.

How many diagonals does a polygon have?

n(n − 3)/2, where n is the number of sides. Each vertex joins to all the others except itself and its two neighbours, and dividing by two stops each diagonal being counted twice.

Is this test free?

Yes. There is no sign-up, no limit on retakes and nothing is locked. Your score is not saved or shared.

Related Class 9 Maths Resources

Carry on with the Chapter 8 online test (Logic), the Chapter 10 online test (Graphs of Functions). For full-length practice, download the 25 Class 9 Maths guess papers, each a complete 75-mark bilingual paper. You can also browse all Class 9 Maths test papers and every Class 9 Maths online test, or open the Class 9 Mathematics section for everything in one place.

Studying the other subjects too? There are self-marking chapter tests for Class 9 Physics and Class 9 Biology, and you can browse the whole Class 9 section by subject.

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