Class 10
Mathematics
Bise Multan Mathematics Past Paper 2025 Group -I
PRACTICE MODE
Q1
An equation of the type \( 3^x + 3^{2-x} + 6 = 0 \) is a/an:
مساوات \( 3^x + 3^{2-x} + 6 = 0 \) کس قسم کی ہے؟
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Exponential equation
قوت نمائی مساوات
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Radical equation
جذری مساوات
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Reciprocal equation
معکوس مساوات
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Linear equation
یک درجی مساوات
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Q2
Two linear factors of \( x^2 - 15x + 56 \) are:
\( x^2 - 15x + 56 \) کے دو یک درجی فیکٹرز ہیں:
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\( (x - 7) \) and \( (x + 8) \)
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\( (x + 7) \) and \( (x - 8) \)
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C
\( (x - 7) \) and \( (x - 8) \)
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D
\( (x + 7) \) and \( (x + 8) \)
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Q3
The discriminant of \( ax^2 + bx + c = 0 \) is:
مساوات \( ax^2 + bx + c = 0 \) کا فرق کنندہ ہوتا ہے:
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Q4
If \( \alpha, \beta \) are the roots of \( x^2 - x - 1 = 0 \), then product of the roots \( 2\alpha \) and \( 2\beta \) is:
اگر \( \alpha, \beta \) مساوات \( x^2 - x - 1 = 0 \) کے روٹس ہوں تو \( 2\alpha \) اور \( 2\beta \) کا حاصل ضرب ہوتا ہے:
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Q5
In a ratio \( x : y \), \( y \) is called:
نسبت \( x : y \) میں \( y \) کہلاتا ہے:
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Q6
In a proportion \( a : b :: c : d \), \( a \) and \( d \) are called:
تناسب \( a : b :: c : d \) میں \( a \) اور \( d \) کہلاتے ہیں:
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C
Third proportional
تیسرا تناسب
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Q7
Partial fractions of \( \frac{x-2}{(x-1)(x+2)} \) are of the form:
\( \frac{x-2}{(x-1)(x+2)} \) کی جزوی کسریں ___ قسم کی ہوتی ہیں۔
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\( \frac{A}{x-1} + \frac{B}{x+2} \)
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\( \frac{Ax}{x-1} + \frac{B}{x+2} \)
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C
\( \frac{A}{x-1} + \frac{Bx+C}{x+2} \)
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\( \frac{Ax+B}{x-1} + \frac{C}{x+2} \)
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Q8
The number of elements in power set \( \{2, 3, 4\} \) is:
\( \{2, 3, 4\} \) کے پاور سیٹ کے ارکان کی تعداد ہوتی ہے:
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Q9
If \( A \subseteq B \), then \( A \cup B \) is equal to:
اگر \( A \subseteq B \) ہو تو \( A \cup B \) برابر ہوتا ہے:
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Q10
The spread or scatterness of observations in a data set is called:
کسی مواد میں عددات کا پھیلاؤ کیا کہلاتا ہے؟
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C
Central tendency
مرکزی رجحان
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Q11
\( \frac{3\pi}{4} \) radians =
\( \frac{3\pi}{4} \) ریڈین =
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Q12
Radii of a circle are:
ایک ہی دائرے کے رداس ہیں:
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All unequal
تمام غیر برابر
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Double of diameter
قطر سے دو گنا
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Half of any chord
کسی بھی وتر سے آدھے
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Q13
A line which has only one point in common with a circle is called:
ایک خط جس کا دائرے کے ساتھ صرف ایک نقطہ مشترک ہو، کہلاتا ہے:
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A
Sine of a circle
دائرے کا Sine
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B
Cosine of a circle
دائرے کا Cosine
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C
Tangent of a circle
دائرے کا مماس (Tangent)
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D
Secant of a circle
دائرے کا قاطع (Secant)
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Q14
The semi circumference and the diameter of a circle both subtend a central angle of:
دائرے کے نصف محیط اور قطر دونوں کتنا مرکزی زاویہ بناتے ہیں؟
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Q15
The measure of the external angle of a regular octagon is:
ایک منظم مثمن (octagon) کے بیرونی زاویوں کی مقدار ہوتی ہے:
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Q16
Write \( \frac{x^2+4}{3} - \frac{x}{7} = -1 \) in standard form of quadratic equation.
مساوات \( \frac{x^2+4}{3} - \frac{x}{7} = -1 \) کو دو درجی مساوات کی معیاری شکل میں تحریر کیجیے۔
Read the question carefully. This is a practice paper - All questions will be submitted together at the end.
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Q17
Solve \( 5x^2 = 15x \)
\( 5x^2 = 15x \) حل کریں
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Q18
Define exponential equation.
قوت نمائی مساوات کی تعریف کیجیے۔
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Q19
Find discriminant. \( x^2 - 30x + 25 = 0 \)
فرق کنندہ معلوم کیجیے: \( x^2 - 30x + 25 = 0 \)
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Q20
Evaluate. \( (8 + 3\omega + 3\omega^2)^2 \)
قیمت معلوم کیجیے: \( (8 + 3\omega + 3\omega^2)^2 \)
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Q21
Write quadratic equation having roots 1 and 7.
ایسی دو درجی مساوات تحریر کیجیے جس کے روٹس 1 اور 7 ہوں۔
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Q22
Define proportion.
تناسب کی تعریف کیجیے۔
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Q23
Find the value of 'K' if \( R \propto T^2 \) and \( R = 8 \) when \( T = 3 \).
‘K’ کی قیمت معلوم کیجیے اگر \( R \propto T^2 \) اور \( R = 8 \) جبکہ \( T = 3 \) ہو۔
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Q24
Find mean proportion between 5 and 180.
5 اور 180 کے درمیان وسط فی التناسب معلوم کیجیے۔
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Q25
Define Rational Fraction and give example.
ناطق کسر کی تعریف کیجیے اور مثال دیجیے۔
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Q26
Convert the improper fraction into proper fraction: \( \frac{3x^2 - 2x - 1}{x^2 - x + 1} \)
غیر واجب کسر کو واجب کسر میں تبدیل کیجیے: \( \frac{3x^2 - 2x - 1}{x^2 - x + 1} \)
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Q27
What is meant by intersection of two sets?
دو سیٹوں کے تقاطع سے کیا مراد ہے؟
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Q28
If \( X = \{2, 4, 6, \dots, 20\} \) and \( Y = \{4, 8, 12, \dots, 24\} \), then Find \( X - Y \)
اگر \( X = \{2, 4, 6, \dots, 20\} \) اور \( Y = \{4, 8, 12, \dots, 24\} \) ہو تو \( X - Y \) معلوم کیجیے۔
Read the question carefully. This is a practice paper - All questions will be submitted together at the end.
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Q29
If \( L = \{a, b, c\}, M = \{3, 4\} \) then find a binary relation in \( L \times M \)
اگر \( L = \{a, b, c\} \) اور \( M = \{3, 4\} \) ہو تو \( L \times M \) میں ایک ثنائی ربط معلوم کیجیے۔
Read the question carefully. This is a practice paper - All questions will be submitted together at the end.
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Q30
Find 'a' and 'b' if \( (a - 4, b - 2) = (2, 1) \)
'a' اور 'b' معلوم کیجیے اگر \( (a - 4, b - 2) = (2, 1) \) ہو
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Q31
Find the Geometric Mean of the observations 2, 4, 8.
مدات 2, 4, 8 کے لیے اقلیدسی اوسط (Geometric Mean) معلوم کیجیے۔
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Q32
Define Median and give a short example.
وسطانیہ کی تعریف کیجیے اور چھوٹی سی مثال دیجیے۔
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Q33
Find the Mean salary of workers: 11500, 12400, 14500, 14800, 15000
مزدوروں کی اوسط تنخواہ معلوم کیجیے: 11500, 12400, 14500, 14800, 15000
Read the question carefully. This is a practice paper - All questions will be submitted together at the end.
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Q34
Verify that \( \tan^4 \theta + \tan^2 \theta = \tan^2 \theta \sec^2 \theta \)
ثابت کیجیے: \( \tan^4 \theta + \tan^2 \theta = \tan^2 \theta \sec^2 \theta \)
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Q35
Convert \( -225^\circ \) to radian.
\( -225^\circ \) کو ریڈین میں تبدیل کیجیے۔
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Q36
Find \( r \) when \( l = 52 \text{ cm}, \theta = 45^\circ \)
\( r \) معلوم کیجیے جبکہ \( l = 52 \text{ cm} \) اور \( \theta = 45^\circ \) ہو۔
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Q37
Write two Pythagorean identities:
دو فیثا غورث مماثلات لکھیے:
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Q38
Define circle and show its figure.
دائرے کی تعریف کیجیے اور اس کی شکل بنائیے۔
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Q39
Define length of a tangent.
مماس کی لمبائی کی تعریف کیجیے۔
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Q40
Define obtuse angle and make its figure.
منفرجہ زاویہ کی تعریف کیجیے اور اس کی شکل بنائیے۔
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Q41
The length of the side of a regular pentagon is 7 cm. What is its perimeter?
ایک منظم مخمس کے ضلع کی لمبائی 7 سم ہے۔ اس کا احاطہ کیا ہے؟
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Q42
Define circumscribed circle.
محاصر دائرہ کی تعریف کیجیے۔
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Q43
Solve the equation \( (x-1)(x-2)(x-8)(x+5) + 360 = 0 \)
مساوات \( (x-1)(x-2)(x-8)(x+5) + 360 = 0 \) کو حل کیجیے۔
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Q44
Find the cube roots of \( -1 \)
\( -1 \) کے جزرالمکعب معلوم کیجیے۔
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Q45
Find \( x \) in the following proportion: \( p^2 + pq + q^2 : x :: \frac{p^3 - q^3}{p + q} : (p - q)^2 \)
تناسب میں \( x \) کی قیمت معلوم کیجیے: \( p^2 + pq + q^2 : x :: \frac{p^3 - q^3}{p + q} : (p - q)^2 \)
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Q46
Resolve into partial fraction: \( \frac{x^2}{(x + 2)(x^2 + 4)} \)
جزوی کسر میں تحلیل کیجیے: \( \frac{x^2}{(x + 2)(x^2 + 4)} \)
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Q47
If \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \), \( A = \{1, 3, 5, 7\} \), and \( B = \{2, 3, 5, 7\} \), then verify that \( (A \cup B)' = A' \cap B' \).
اگر \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)، \( A = \{1, 3, 5, 7\} \) اور \( B = \{2, 3, 5, 7\} \) ہو تو تصدیق کیجیے کہ \( (A \cup B)' = A' \cap B' \)۔
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Q48
Determine the variance for the following grouped data:
بتیس (32) چیزوں کی لمبائی نیچے دی گئی ہے۔ تغیرات (Variance) معلوم کیجیے۔ لمبائی: [20-22، 23-25، 26-28، 29-31، 32-34] تعدد: [3، 6، 12، 9، 2]۔
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Length
لمبائی
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20 – 22 |
23 – 25 |
26 – 28 |
29 – 31 |
32 – 34 |
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Frequency
تعداد
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3 |
6 |
12 |
9 |
2 |
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Q49
If \( \csc \theta = \frac{13}{12} \) and \( \sec \theta > 0 \), find the remaining trigonometric functions.
اگر \( \csc \theta = \frac{13}{12} \) اور \( \sec \theta > 0 \) ہو تو باقی تکونیاتی تفاعل کی قیمت معلوم کیجیے۔
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Q50
Inscribe a circle in an equilateral triangle ABC with each side of length 5cm.
مساوی الاضلاع مثلث ABC کا محصور دائرہ بنائیے جبکہ اس کے ہر ضلع کی لمبائی 5 سم ہو۔
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Q51
Prove that two chords of a circle which are equidistant from the centre, are congruent.
OR
ثابت کیجیے کہ دائرے کے دو وتر جو مرکز سے مساوی الفاصلہ ہوں، باہم متماثل ہوتے ہیں۔
یا
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Q52
Prove that any two angles in the same segment of a circle are equal.
ثابت کیجیے کہ کوئی دو زاویے جو ایک ہی قطعہ دائرہ میں واقع ہوں، باہم برابر ہوتے ہیں۔
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