Mathematics Test for Class 10th: Ratios, Proportions, and Circles, Essays (high school) of Mathematics

A mathematics test designed for 10th-grade students. It covers key concepts in ratios, proportions, and circles, including the definition of a tangent, the componendo-divindo theorem, and the relationship between congruent chords and their distance from the center of a circle. The test includes multiple-choice questions, short answer questions, and long answer questions, providing a comprehensive assessment of students' understanding of these fundamental mathematical concepts.

Typology: Essays (high school)

2023/2024

Available from 02/02/2025

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MillatAcademy Of Science
ChowkSarwarShaheed Name Student:
Class:10th Test: maths CH # Total No: 30 Date:
Q.No.1 Encircle the right option
1If U/V=V/W = K then رگا U/V=V/W = K رھپ وت وہ
A U=wk2B U=Vk2C U=W2K D U=V2K
2 A circle has only one ےہ اتوہ یہ کیا فرص اک ےرئاد کیا
A Secant B Tangent س امم C Chord رتو D Center زک رم
3If w varies inversely as the cube of u and w=5 when u=3 then value of K will be رگا u,w, ےک بکعم ےک
وت وہ یلنشوپورپ یلسرونا k یگوہ تمیق یک
A27/5 B5/27 C-27/5 D-5/27
4Find x in propotion 4:x::5:15 بسانت4 :x::5:15 ںیم x ںیرک مولعم
A75/4 B4/3 C¾D12
5If a/b =c/d then componmendo property is رگا a/b =c/d ےہ بسانت بیکرت وت وہ
Aa/a+b =c/A-b Ba/a-b =c/c-d CAd/bc D None
6In a ratio a:b, a is called تبسن a:b ںیم a ےہ اتالہک
ARelation BAntecedent CConsequent DNone
Q.No.2 Give Short Answers
1Define the tangent of circle ںیرک )فیرعت یک س امم ےک ےرئاد
2If a:b=c:d then show that a/b =
a2+c2/ b2+d2 رگا a:b=c:d ہک ںیرک تباث وت وہa/b=
a2+c2/ b2+d2
3Find x if 6:x::3:5 X رگا ںیرک مولعم تمیق یک
6:x::3:5
4Find fourth proportional to 8,7,6 ںیرک مولعم بسانتم اھتوچ
5State theorem of componendo-divindo ںیھکل لیصفتو بیکرت ہلئسم
6If a:b =7:6 find the value when
3a+5b:7b-5a
رگا a:b =7:6 وت وہ3 a+5b:7b-5a یک
ںیرک مولعم تمیق
Q.No.3 Long Questions
A
Find value of m+5n/m-5n +m+5p/m-5p
if m=10np/n+p
رگا m=10np/n+p m+5n/m-
5n +m+5p/m-5p مولعم تمیق یک
ںیرک
B
If two chords of a circle are congruent
then they will be equidistant form the
centre
ےس زکرم ہو وت ںوہ )لثامتم رتو ےک ےرئاد رگا
ےگ ںوہ ہلصافلا یواسم

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MillatAcademy Of Science

ChowkSarwarShaheed Name Student:

Class:10th^ Test: maths CH # Total No: 30 Date:

Q.No.1 Encircle the right option

(^1) If U/V=V/W = K then اگر U/V=V/W = K ہو تو پھر A U=wk^2 B U=Vk^2 C U=W^2 K D U=V^2 K 2 A circle has only one ایک دائرے کا صرف ایک ہی ہوتا ہے A Secant B Tangent مما س C Chord وتر D Center ز ر ک م (^3) If w varies inversely as the cube of u and w=5 when u=3 then value of K will be اگر u,w, کے معکب کے انورسلی پروپوشنلی ہو تو k کی قیمت ہوگی A 27/5 B 5/27 C -27/5 D -5/ (^4) Find x in propotion 4:x::5:15 4 تناسب:x::5:15 میں x معلوم کریں A 75/4 B 4/3 C ¾ D 12 (^5) If a/b =c/d then componmendo property is اگر a/b =c/d ہو تو ترکیب تناسب ہے A a/a+b =c/A-b B a/a-b =c/c-d C Ad/bc D None (^6) In a ratio a:b, a is called نسبت a:b میں a کہلاتا ہے A Relation B Antecedent C Consequent D None Q.No.2 Give Short Answers

1 Define the tangent of circle دائرے کے مما س کی تعریف) کریں

If a:b=c:d then show that a/b = √ a^2 +c^2 / b^2 +d^2 =a/b ہو تو ثابت کریں کہ a:b=c:d اگر

a^2 +c^2 / b^2 +d^2^ √

Find x if 6:x::3:5 X کی قیمت معلوم کریں اگر

6 :x::3:

Find fourth proportional to 8,7,

5 State theorem of componendo-divindo^ مسئلہ ترکیب وتفصیل لکھیں

If a:b =7:6 find the value when

3a+5b:7b-5a

اگر a:b =7:6 3 و توہa+5b:7b-5a کی

Q.No.3 Long Questions

A

Find value of m+5n/m-5n +m+5p/m-5p

if m=10np/n+p

اگر m=10np/n+p m+5n/m-

5n +m+5p/m-5p کی قیمت معلوم

B

If two chords of a circle are congruent

then they will be equidistant form the

centre