Dhaka Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Dhaka Board 2024 Click to open full size
Q1 MCQ
If \(a+b=5\) and \(ab=6\), then \(a^2+b^2=\)?
যদি \(a+b=5\) এবং \(ab=6\) হয়, তাহলে \(a^2+b^2\) = ?
ক. 11
খ. 12
গ. 13
ঘ. 25
Q2 MCQ
Which is an irrational number?
নিচের কোনটি অমূলদ সংখ্যা?
ক. \(\frac{22}{7}\)
খ. \(\sqrt{4}\)
গ. \(\sqrt{3}\)
ঘ. \(0.\overline{3}\)
Q3 MCQ
\(\log_2 32 = ?\)
\(\log_2 32\) এর মান কত?
ক. 4
খ. 5
গ. 6
ঘ. 16
Q4 MCQ
If \(p=\sqrt{5}+\sqrt{3}\) and \(q=\sqrt{5}-\sqrt{3}\), then \(pq=\)?
ক. \(\sqrt{2}\)
খ. \(2\)
গ. \(8\)
ঘ. \(2\sqrt{15}\)
Q5 MCQ
\(\dfrac{\sqrt{72}}{\sqrt{8}}\) simplifies to:
\(\dfrac{\sqrt{72}}{\sqrt{8}}\) এর সরলতম মান:
ক. \(\sqrt{6}\)
খ. \(2\sqrt{2}\)
গ. \(3\)
ঘ. \(9\)
Q6 MCQ
If \(\log x = \frac{1}{2}\), then \(x = ?\)
\(\log x = \frac{1}{2}\) হলে \(x\) = ?
ক. \(2\)
খ. \(5\)
গ. \(\sqrt{10}\)
ঘ. \(100\)
Q7 MCQ
\(n(A)=25,\ n(B)=20,\ n(A\cap B)=10\). Find \(n(A\cup B)\).
ক. 30
খ. 35
গ. 45
ঘ. 55
Q8 MCQ
If \(A=\{1,2,3\}\), number of subsets = ?
\(A=\{1,2,3\}\) এর উপসেটের সংখ্যা কত?
ক. 4
খ. 6
গ. 8
ঘ. 9
Q9 MCQ
\(f(x)=2x+3\). Find \(f(f(1))\).
\(f(x)=2x+3\) হলে \(f(f(1))\) = ?
ক. 11
খ. 13
গ. 15
ঘ. 17
Q10 MCQ
Which set is a subset of every set?
কোন সেটটি প্রতিটি সেটের উপসেট?
ক. Universal set
খ. Power set
গ. Empty set ∅
ঘ. Singleton set
Q11 MCQ
\(\log 2 + \log 5 = ?\)
\(\log 2 + \log 5\) এর মান কত?
ক. 1
খ. \(\log 3\)
গ. \(\log 7\)
ঘ. 10
Q12 MCQ
\(a^2-b^2=21,\ a-b=3\). Find \(a+b\).
\(a^2-b^2=21,\ a-b=3\) হলে \(a+b=\)?
ক. 6
খ. 7
গ. 8
ঘ. 9
Q13 MCQ
Rationalize \(\dfrac{1}{\sqrt{3}-1}\):
\(\dfrac{1}{\sqrt{3}-1}\) এর হর মূলদ করলে পাওয়া যায়:
ক. \(\frac{\sqrt{3}-1}{2}\)
খ. \(\frac{\sqrt{3}+1}{2}\)
গ. \(\sqrt{3}+1\)
ঘ. \(\sqrt{3}-1\)
Q14 MCQ
\(\log_a a^3 = ?\)
\(\log_a a^3\) এর মান কত?
ক. 1
খ. 2
গ. 3
ঘ. \(a\)
Q15 MCQ
Sum of angles in a triangle:
একটি ত্রিভুজের কোণের সমষ্টি:
ক. 90°
খ. 120°
গ. 180°
ঘ. 360°
Q16 MCQ
In △ABC, AB=AC, ∠B=70°. Find ∠A.
△ABC-এ AB=AC, ∠B=70° হলে ∠A = ?
ক. 30°
খ. 40°
গ. 50°
ঘ. 70°
Q17 MCQ
An exterior angle of a triangle equals:
একটি ত্রিভুজের বহিঃস্থ কোণ সমান:
ক. One interior angle
খ. Sum of all interior angles
গ. Sum of two non-adjacent interior angles
ঘ. Half the sum
Q18 MCQ
The angle in a semicircle is:
অর্ধবৃত্তস্থ কোণের মান:
ক. 45°
খ. 60°
গ. 90°
ঘ. 120°
Q19 MCQ
Distance from (3, 4) to the origin:
(3,4) বিন্দু থেকে মূলবিন্দুর দূরত্ব:
ক. 3
খ. 4
গ. 5
ঘ. 7
Q20 MCQ
Slope of a line parallel to the x-axis:
x-অক্ষের সমান্তরাল রেখার ঢাল:
ক. Undefined
খ. 1
গ. 0
ঘ. −1
Q21 MCQ
If \(\tan\theta=\frac{3}{4}\), then \(\sin\theta=\)?
\(\tan\theta=\frac{3}{4}\) হলে \(\sin\theta=\)?
ক. \(\frac{4}{5}\)
খ. \(\frac{3}{5}\)
গ. \(\frac{4}{3}\)
ঘ. \(\frac{5}{3}\)
Q22 MCQ
\(\sin^2\theta + \cos^2\theta = ?\)
\(\sin^2\theta + \cos^2\theta\) এর মান:
ক. 1
খ. 0
গ. \(\sin\theta\)
ঘ. 2
Q23 MCQ
\(\cos 60° = ?\)
ক. \(\frac{1}{2}\)
খ. \(\frac{\sqrt{3}}{2}\)
গ. \(\sqrt{3}\)
ঘ. 1
Q24 MCQ
Mean of 5, 10, 15, 20, 25:
5, 10, 15, 20, 25 এর গড় কত?
ক. 12
খ. 14
গ. 15
ঘ. 16
Q25 MCQ
Median of 3, 7, 4, 9, 2, 6, 1:
3, 7, 4, 9, 2, 6, 1 এর মধ্যমা কত?
ক. 3
খ. 4
গ. 6
ঘ. 7
Q26 MCQ
Mode of 2, 3, 3, 4, 5, 3, 7:
2, 3, 3, 4, 5, 3, 7 এর প্রচুরক:
ক. 2
খ. 3
গ. 4
ঘ. 5
Q27 MCQ
If \(3x - 5 = 7\), then \(x = ?\)
\(3x - 5 = 7\) হলে \(x\) = ?
ক. 4
খ. 3
গ. 5
ঘ. 2
Q28 MCQ
Area of circle with r = 7 cm (π = 22/7):
r = 7 সেমি বৃত্তের ক্ষেত্রফল (π = 22/7):
ক. 44 cm²
খ. 88 cm²
গ. 154 cm²
ঘ. 308 cm²
Q29 MCQ
\(\log_a 1 = ?\)
\(\log_a 1\) এর মান কত?
ক. 0
খ. 1
গ. a
ঘ. undefined
Q30 MCQ
HCF of 12 and 18:
12 এবং 18 এর গ.সা.গু কত?
ক. 3
খ. 4
গ. 6
ঘ. 9
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Dhaka Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(p = \sqrt{5}+\sqrt{3},\quad q = \sqrt{5}-\sqrt{3}\)
উদ্দীপক: \(p = \sqrt{5}+\sqrt{3},\quad q = \sqrt{5}-\sqrt{3}\)
Chapter: Real Numbers
CQ2 Creative
Stem: \(\log_2 x + \log_2 4 = 5\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: Triangle with vertices \(A(0,0)\), \(B(4,0)\), \(C(4,3)\)
উদ্দীপক: শীর্ষবিন্দু \(A(0,0)\), \(B(4,0)\), \(C(4,3)\) বিশিষ্ট ত্রিভুজ
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 40 students: 25 play cricket (C), 20 play football (F), 10 play both.
উদ্দীপক: 40 জন শিক্ষার্থী: 25 জন ক্রিকেট (C), 20 জন ফুটবল (F), 10 জন উভয়ই খেলে।
Chapter: Sets and Functions
CQ5 Creative
Stem: Marks of 10 students: 45, 60, 55, 70, 65, 80, 50, 75, 85, 40
উদ্দীপক: 10 জন শিক্ষার্থীর নম্বর: 45, 60, 55, 70, 65, 80, 50, 75, 85, 40
Chapter: Statistics
CQ6 Creative
Stem: From the top of a 30 m tower, the angle of depression to a ground point is 45°.
উদ্দীপক: 30 মি উঁচু মিনারের শীর্ষ থেকে মাটির একটি বিন্দুর অবনতি কোণ 45°।
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(f:\mathbb{R}\to\mathbb{R}\) defined by \(f(x) = x^2 - 2x + 1\)
উদ্দীপক: \(f:\mathbb{R}\to\mathbb{R}\), \(f(x) = x^2 - 2x + 1\) দ্বারা সংজ্ঞায়িত
Chapter: Sets and Functions
Rajshahi Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Rajshahi Board 2024 Click to open full size
Q1 MCQ
If \(x - \frac{1}{x} = 3\), find \(x^2 + \frac{1}{x^2}\).
ক. 9
খ. 10
গ. 11
ঘ. 12
Q2 MCQ
\(\sqrt{5}\) is:
\(\sqrt{5}\) হলো:
ক. Rational
খ. Integer
গ. Irrational
ঘ. Natural
Q3 MCQ
\(\log_3 81 = ?\)
ক. 2
খ. 3
গ. 4
ঘ. 9
Q4 MCQ
If \(A \subset B\) and \(B \subset A\), then:
ক. A is empty
খ. B is empty
গ. A = B
ঘ. A ∩ B = ∅
Q5 MCQ
If \(n(A) = 5\), total subsets of A:
ক. 10
খ. 25
গ. 32
ঘ. 64
Q6 MCQ
If \(f(x) = x^2 + 1\), find \(f(-2)\).
ক. 3
খ. 4
গ. 5
ঘ. 6
Q7 MCQ
\((a+b)^2 - (a-b)^2 = ?\)
ক. \(4ab\)
খ. \(2ab\)
গ. \(a^2-b^2\)
ঘ. \(2a^2\)
Q8 MCQ
Factors of \(x^2 - 5x + 6\):
ক. \((x-1)(x-6)\)
খ. \((x-2)(x-3)\)
গ. \((x+2)(x+3)\)
ঘ. \((x-1)(x+6)\)
Q9 MCQ
\(\log\frac{a}{b} = ?\)
ক. \(\log a - \log b\)
খ. \(\log a \cdot \log b\)
গ. \(\frac{\log a}{\log b}\)
ঘ. \(\log a + \log b\)
Q10 MCQ
\(2^{3x} = 64\), find \(x\):
ক. 1
খ. 2
গ. 3
ঘ. 4
Q11 MCQ
Sum of angles of a quadrilateral:
ক. 180°
খ. 270°
গ. 360°
ঘ. 540°
Q12 MCQ
In a right triangle, hypotenuse² =
ক. a+b
খ. a²−b²
গ. a²+b²
ঘ. (a+b)²
Q13 MCQ
At the point of tangency, tangent and radius are:
ক. Parallel
খ. Equal
গ. Perpendicular
ঘ. Supplementary
Q14 MCQ
Midpoint of (2, 4) and (6, 8):
ক. (3,6)
খ. (4,6)
গ. (4,8)
ঘ. (8,12)
Q15 MCQ
Gradient of line joining (1,2) and (3,6):
ক. 1
খ. 2
গ. 3
ঘ. 4
Q16 MCQ
\(\sin 30° = ?\)
ক. \(\frac{\sqrt{3}}{2}\)
খ. \(\frac{1}{2}\)
গ. \(1\)
ঘ. \(\frac{1}{\sqrt{2}}\)
Q17 MCQ
\(\tan 45° = ?\)
ক. 0
খ. \(\frac{1}{\sqrt{2}}\)
গ. \(\sqrt{3}\)
ঘ. 1
Q18 MCQ
If \(\cos\theta = \frac{5}{13}\), find \(\tan\theta\).
ক. \(\frac{5}{12}\)
খ. \(\frac{12}{5}\)
গ. \(\frac{12}{13}\)
ঘ. \(\frac{13}{5}\)
Q19 MCQ
Arithmetic mean of 10 numbers is 15. Their sum:
ক. 25
খ. 100
গ. 150
ঘ. 200
Q20 MCQ
Median of 2, 4, 6, 8, 10 (sorted):
ক. 4
খ. 5
গ. 6
ঘ. 7
Q21 MCQ
\(a+b=7,\ ab=10\). Find \((a-b)^2\).
ক. 3
খ. 9
গ. 29
ঘ. 49
Q22 MCQ
\(\log_{10} 0.01 = ?\)
ক. −1
খ. −2
গ. 2
ঘ. 0.01
Q23 MCQ
The number \(-\sqrt{2}\) is:
ক. Natural
খ. Rational
গ. Irrational
ঘ. Integer
Q24 MCQ
If \(A=\{1,2\}\) and \(B=\{2,3\}\), then \(A \cup B = ?\)
ক. \(\{2\}\)
খ. \(\{1,2,3\}\)
গ. \(\{1,3\}\)
ঘ. \(\{1,2,2,3\}\)
Q25 MCQ
Area of rectangle with l=8, b=5:
ক. 13
খ. 26
গ. 40
ঘ. 80
Q26 MCQ
Perimeter of equilateral triangle, side=6:
ক. 6
খ. 12
গ. 18
ঘ. 36
Q27 MCQ
\(\sec^2\theta - \tan^2\theta = ?\)
ক. 0
খ. 1
গ. \(\sec\theta\)
ঘ. 2
Q28 MCQ
Standard deviation is always:
ক. Negative
খ. Zero
গ. Positive
ঘ. Non-negative
Q29 MCQ
\(8^{2/3} = ?\)
ক. 2
খ. 4
গ. 6
ঘ. 8
Q30 MCQ
Number of prime factors of 60:
ক. 2
খ. 3
গ. 4
ঘ. 5
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Rajshahi Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(x = 2+\sqrt{3},\quad y = 2-\sqrt{3}\)
Chapter: Real Numbers
CQ2 Creative
Stem: \(\log_3(x-2)+\log_3 3 = 3\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: Vertices: \(P(0,0)\), \(Q(6,0)\), \(R(6,8)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 60 students: 35 like maths (M), 30 like science (S), 15 like both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Data: 20, 25, 30, 35, 40, 45, 50, 55, 60, 65
Chapter: Statistics
CQ6 Creative
Stem: From top of 40 m building, angle of depression = 60°.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(g(x) = 3x^2 - 6x + 3\)
Chapter: Sets and Functions
Chittagong Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Chittagong Board 2024 Click to open full size
Q1 MCQ
If \(a+b=8,\ ab=15\), find \(a^2+b^2\).
ক. 28
খ. 29
গ. 34
ঘ. 49
Q2 MCQ
\(\sqrt{7}\) is:
ক. Rational
খ. Integer
গ. Irrational
ঘ. Natural
Q3 MCQ
\(\log_5 125 = ?\)
ক. 2
খ. 3
গ. 4
ঘ. 5
Q4 MCQ
\(n(A)=8,n(B)=6,n(A\cap B)=3\). \(n(A\cup B)=\)?
ক. 10
খ. 11
গ. 12
ঘ. 14
Q5 MCQ
If \(f(x)=3x-1\), find \(f(4)\).
ক. 10
খ. 11
গ. 12
ঘ. 13
Q6 MCQ
\((2a+b)^2 = ?\)
ক. \(4a^2+b^2\)
খ. \(4a^2+4ab+b^2\)
গ. \(4a^2+2ab+b^2\)
ঘ. \(2a^2+4ab+b^2\)
Q7 MCQ
\(\log_2 16 + \log_2 4 = ?\)
ক. 4
খ. 5
গ. 6
ঘ. 7
Q8 MCQ
Factors of \(a^2-4b^2\):
ক. \((a-2b)^2\)
খ. \((a+2b)(a-2b)\)
গ. \((a+b)(a-b)\)
ঘ. \((2a+b)(2a-b)\)
Q9 MCQ
\(2^{10} = ?\)
ক. 512
খ. 1000
গ. 1024
ঘ. 2048
Q10 MCQ
\(\log_a a = ?\)
ক. 0
খ. 1
গ. a
ঘ. 1/a
Q11 MCQ
Triangle with sides 5, 12, 13 is:
ক. Acute
খ. Right
গ. Obtuse
ঘ. Equilateral
Q12 MCQ
Circumference of circle r=7 (π=22/7):
ক. 22
খ. 44
গ. 88
ঘ. 154
Q13 MCQ
Midpoint of (0,0) and (4,6):
ক. (2,3)
খ. (4,6)
গ. (1,3)
ঘ. (3,4)
Q14 MCQ
\(\sin 90° = ?\)
ক. 0
খ. 1/2
গ. √2/2
ঘ. 1
Q15 MCQ
\(\cos 0° = ?\)
ক. 0
খ. 1/2
গ. 1
ঘ. √3/2
Q16 MCQ
Mean of 3, 6, 9, 12, 15:
ক. 7
খ. 8
গ. 9
ঘ. 10
Q17 MCQ
Median of 1, 3, 5, 7, 9:
ক. 3
খ. 4
গ. 5
ঘ. 6
Q18 MCQ
An inscribed angle is _ the central angle on same arc:
ক. Equal to
খ. Half of
গ. Double of
ঘ. Unrelated to
Q19 MCQ
Slope of a vertical line:
ক. 0
খ. 1
গ. −1
ঘ. Undefined
Q20 MCQ
\(x^2+5x+6 = ?\)
ক. \((x+2)(x-3)\)
খ. \((x+2)(x+3)\)
গ. \((x-2)(x+3)\)
ঘ. \((x-1)(x+6)\)
Q21 MCQ
\(\sec 60° = ?\)
ক. 1
খ. √2
গ. 2
ঘ. √3
Q22 MCQ
HCF of 24 and 36:
ক. 6
খ. 8
গ. 12
ঘ. 18
Q23 MCQ
\(0.\overline{6}\) is:
ক. Irrational
খ. Integer
গ. Rational
ঘ. Natural
Q24 MCQ
Power set of \(\{a,b\}\) has _ elements:
ক. 2
খ. 3
গ. 4
ঘ. 8
Q25 MCQ
If \(A \cap B = \emptyset\), then A and B are:
ক. Equal
খ. Disjoint
গ. Subsets
ঘ. Universal
Q26 MCQ
\(5^0 = ?\)
ক. 0
খ. 1
গ. 5
ঘ. undefined
Q27 MCQ
Sum of first 10 natural numbers:
ক. 45
খ. 50
গ. 55
ঘ. 60
Q28 MCQ
Volume of cube, side=5:
ক. 25
খ. 75
গ. 100
ঘ. 125
Q29 MCQ
\(\cot\theta \cdot \tan\theta = ?\)
ক. 0
খ. 1
গ. \(\sec\theta\)
ঘ. \(\csc\theta\)
Q30 MCQ
Range of 5, 8, 3, 11, 7, 2:
ক. 6
খ. 8
গ. 9
ঘ. 11
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Chittagong Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(p=\sqrt{6}+\sqrt{2},\quad q=\sqrt{6}-\sqrt{2}\)
Chapter: Real Numbers
CQ2 Creative
Stem: \(\log_4 x + \log_4 16 = 4\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: \(A(0,0)\), \(B(5,0)\), \(C(5,12)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 80 students: 45 study English (E), 40 study French (F), 20 study both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Marks: 55, 62, 48, 70, 65, 58, 72, 45, 68, 57
Chapter: Statistics
CQ6 Creative
Stem: From a point on ground, angle of elevation to top of 50 m tower is 30°.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(h(x) = x^2 + 4x + 4\)
Chapter: Sets and Functions
Jessore Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Jessore Board 2024 Click to open full size
Q1 MCQ
\(p^2+q^2=13,\ pq=6\). Find \((p+q)^2\).
ক. 21
খ. 24
গ. 25
ঘ. 30
Q2 MCQ
Between which integers does \(\sqrt{11}\) lie?
ক. 2 and 3
খ. 3 and 4
গ. 4 and 5
ঘ. 1 and 2
Q3 MCQ
\(\log_4 64 = ?\)
ক. 2
খ. 3
গ. 4
ঘ. 6
Q4 MCQ
If \(n(U)=50,n(A)=30\), then \(n(A')=?\)
ক. 10
খ. 20
গ. 30
ঘ. 50
Q5 MCQ
If \(f(x)=x^2-x\), find \(f(3)\).
ক. 3
খ. 4
গ. 5
ঘ. 6
Q6 MCQ
\((x+y+z)^2\) contains _ terms after expansion:
ক. 4
খ. 5
গ. 6
ঘ. 9
Q7 MCQ
\(\log_2 8 - \log_2 2 = ?\)
ক. 1
খ. 2
গ. 3
ঘ. 4
Q8 MCQ
Solve \(x^2-7x+12=0\):
ক. x=3,4
খ. x=−3,−4
গ. x=3,−4
ঘ. x=−3,4
Q9 MCQ
\(9^{0.5} = ?\)
ক. 1
খ. 2
গ. 3
ঘ. 4.5
Q10 MCQ
\(\log(ab^2) = ?\)
ক. \(\log a+\log b\)
খ. \(\log a+2\log b\)
গ. \(2\log a+\log b\)
ঘ. \(2(\log a+\log b)\)
Q11 MCQ
Angle bisectors of a triangle are concurrent at the:
ক. Centroid
খ. Circumcenter
গ. Incenter
ঘ. Orthocenter
Q12 MCQ
Tangents from an external point to a circle are:
ক. Parallel
খ. Perpendicular
গ. Equal
ঘ. Unequal
Q13 MCQ
If \(y=3x+2\), gradient and y-intercept are:
ক. 3 and −2
খ. −3 and 2
গ. 3 and 2
ঘ. 2 and 3
Q14 MCQ
\(\sin^2 30°+\cos^2 30° = ?\)
ক. 1/2
খ. 3/4
গ. 1
ঘ. 2
Q15 MCQ
\(\tan\theta=\frac{\sin\theta}{\cos\theta}\) is:
ক. Sometimes true
খ. Always false
গ. Always true
ঘ. True only for acute angles
Q16 MCQ
Mode of 4, 5, 5, 6, 6, 6, 7:
ক. 5
খ. 6
গ. 7
ঘ. 4
Q17 MCQ
Mean of 10 values is 8. Sum = ?
ক. 18
খ. 80
গ. 88
ঘ. 100
Q18 MCQ
Angle in a semicircle is always:
ক. 45°
খ. 60°
গ. 90°
ঘ. 180°
Q19 MCQ
Point (−3, 4) is in which quadrant?
ক. I
খ. II
গ. III
ঘ. IV
Q20 MCQ
\((a-b)^3 = ?\)
ক. \(a^3+3a^2b+3ab^2+b^3\)
খ. \(a^3-3a^2b+3ab^2-b^3\)
গ. \(a^3+b^3\)
ঘ. \(a^3-b^3\)
Q21 MCQ
\(\sqrt{3}\times\sqrt{12} = ?\)
ক. 3
খ. 4
গ. 6
ঘ. 12
Q22 MCQ
LCM of 4 and 6:
ক. 8
খ. 10
গ. 12
ঘ. 24
Q23 MCQ
\(-\sqrt{9} = ?\)
ক. −3
খ. 3
গ. 9
ঘ. −9
Q24 MCQ
\(A \cup A' = ?\)
ক. ∅
খ. A
গ. U
ঘ. A∩A'
Q25 MCQ
\(x^{-2} = ?\)
ক. \(-x^2\)
খ. \(\frac{1}{x^2}\)
গ. \(x^2\)
ঘ. \(\frac{-1}{x^2}\)
Q26 MCQ
Perimeter of circle r=7:
ক. 14π
খ. 7π
গ. 49π
ঘ. 22/7
Q27 MCQ
Area of triangle base=6, height=8:
ক. 14
খ. 24
গ. 48
ঘ. 96
Q28 MCQ
\(1+\tan^2\theta = ?\)
ক. \(\csc^2\theta\)
খ. \(\sec^2\theta\)
গ. \(\cot^2\theta\)
ঘ. 1
Q29 MCQ
In a histogram, frequency × class width = ?
ক. Mean
খ. Variance
গ. Area of rectangle
ঘ. Cumulative frequency
Q30 MCQ
Prime factorization of 72:
ক. \(2^2\times3^2\)
খ. \(2^3\times3^2\)
গ. \(2^2\times3^3\)
ঘ. \(2^4\times3\)
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Jessore Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(a=3+\sqrt{5},\quad b=3-\sqrt{5}\)
Chapter: Real Numbers
CQ2 Creative
Stem: \(\log_5 x - \log_5 25 = 1\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: \(A(1,2)\), \(B(5,2)\), \(C(5,5)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 50 students: 30 play cricket (C), 25 play football (F), 10 play both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Data: 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Chapter: Statistics
CQ6 Creative
Stem: Angle of elevation of top of tree from 20 m away is 45°.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(f(x)=2x^2-8x+6\)
Chapter: Sets and Functions
Comilla Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Comilla Board 2024 Click to open full size
Q1 MCQ
\((x+2)^2+(x-2)^2 = ?\)
ক. \(2x^2+8\)
খ. \(2x^2-8\)
গ. \(x^2+8\)
ঘ. \(4x^2+8\)
Q2 MCQ
\(\sqrt{2}+\sqrt{8} = ?\)
ক. \(\sqrt{10}\)
খ. \(2\sqrt{2}\)
গ. \(3\sqrt{2}\)
ঘ. \(4\sqrt{2}\)
Q3 MCQ
\(\log_{10} 10000 = ?\)
ক. 3
খ. 4
গ. 5
ঘ. 6
Q4 MCQ
If \(B \subset A\), then \(A \cup B = ?\)
ক. A
খ. B
গ. ∅
ঘ. U
Q5 MCQ
If \(f(x)=\sqrt{x}\), find \(f(25)\).
ক. 3
খ. 4
গ. 5
ঘ. 6
Q6 MCQ
\(a^3+b^3 = ?\)
ক. \((a+b)^3\)
খ. \((a+b)(a^2-ab+b^2)\)
গ. \((a-b)(a^2+ab+b^2)\)
ঘ. \((a+b)(a^2+ab+b^2)\)
Q7 MCQ
\(2\log 3+\log 5 = ?\)
ক. \(\log 90\)
খ. \(\log 45\)
গ. \(\log 15\)
ঘ. \(\log 18\)
Q8 MCQ
GCD of \(x^2-4\) and \(x-2\):
ক. \(x-2\)
খ. \(x+2\)
গ. \(x^2-4\)
ঘ. 1
Q9 MCQ
\(4^{3/2} = ?\)
ক. 4
খ. 6
গ. 8
ঘ. 12
Q10 MCQ
\(\log_b 1 = ?\)
ক. 0
খ. 1
গ. b
ঘ. −1
Q11 MCQ
Two parallel lines cut by transversal: alternate interior angles are:
ক. Supplementary
খ. Complementary
গ. Equal
ঘ. Reflex
Q12 MCQ
In △ABC, AB=BC=5, AC=6. Type:
ক. Scalene
খ. Isosceles
গ. Equilateral
ঘ. Right
Q13 MCQ
Circle diameter=14. Area = ?
ক. 44
খ. 88
গ. 154
ঘ. 616
Q14 MCQ
Distance between (1,1) and (4,5):
ক. 3
খ. 4
গ. 5
ঘ. 6
Q15 MCQ
Line \(y=2x-3\): when \(x=0\), \(y=?\)
ক. −3
খ. −2
গ. 3
ঘ. 2
Q16 MCQ
\(\sin 45° = ?\)
ক. \(\frac{1}{2}\)
খ. \(\frac{\sqrt{3}}{2}\)
গ. \(\frac{1}{\sqrt{2}}\)
ঘ. 1
Q17 MCQ
\(1+\cot^2\theta = ?\)
ক. \(\tan^2\theta\)
খ. \(\csc^2\theta\)
গ. \(\sec^2\theta\)
ঘ. 1
Q18 MCQ
Tangent to circle at P is perpendicular to:
ক. Chord
খ. Diameter
গ. Radius at P
ঘ. Another tangent
Q19 MCQ
Origin is at coordinates:
ক. (0,1)
খ. (1,0)
গ. (1,1)
ঘ. (0,0)
Q20 MCQ
\(x^2-9 = ?\)
ক. \((x-3)^2\)
খ. \((x-3)(x+3)\)
গ. \((x-9)(x+1)\)
ঘ. \((x+3)^2\)
Q21 MCQ
\(\text{cosec}\,90° = ?\)
ক. 0
খ. 1
গ. 2
ঘ. undefined
Q22 MCQ
LCM × HCF = ?
ক. Sum
খ. Difference
গ. Product of the two numbers
ঘ. Quotient
Q23 MCQ
\(\pi\) is:
ক. Rational
খ. Integer
গ. Irrational
ঘ. Natural
Q24 MCQ
\(A \cap \emptyset = ?\)
ক. A
খ. ∅
গ. U
ঘ. {A}
Q25 MCQ
If \(y\propto x\) and \(y=12\) when \(x=3\), find \(y\) when \(x=7\):
ক. 14
খ. 21
গ. 28
ঘ. 35
Q26 MCQ
Volume of cylinder r=3, h=7 (π=22/7):
ক. 66
খ. 132
গ. 154
ঘ. 198
Q27 MCQ
Mean of \(a,\ a+2,\ a+4,\ a+6,\ a+8\):
ক. \(a+2\)
খ. \(a+3\)
গ. \(a+4\)
ঘ. \(a+6\)
Q28 MCQ
Standard deviation of 5, 5, 5, 5, 5:
ক. 0
খ. 1
গ. 5
ঘ. 25
Q29 MCQ
\((x^2y)(xy^3) = ?\)
ক. \(x^3y^4\)
খ. \(x^2y^3\)
গ. \(xy^3\)
ঘ. \(x^3y^2\)
Q30 MCQ
If \(2x+3=11\), \(x=?\)
ক. 3
খ. 4
গ. 5
ঘ. 6
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Comilla Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(m=\sqrt{7}+\sqrt{3},\quad n=\sqrt{7}-\sqrt{3}\)
Chapter: Real Numbers
CQ2 Creative
Stem: \(\log_3(2x+1)=3\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: \(A(0,0)\), \(B(8,0)\), \(C(8,6)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 90 students: 50 play chess (C), 40 play carrom (K), 15 play both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Marks: 60, 65, 70, 75, 80, 85, 90, 55, 50, 45
Chapter: Statistics
CQ6 Creative
Stem: Two buildings are 30 m apart. One is 20 m tall. Angle of elevation from top of shorter to top of taller is 30°.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(k(x)=x^2-6x+9\)
Chapter: Sets and Functions
Barisal Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Barisal Board 2024 Click to open full size
Q1 MCQ
\((3a+2b)^2 = ?\)
ক. \(9a^2+12ab+4b^2\)
খ. \(9a^2+4b^2\)
গ. \(9a^2-12ab+4b^2\)
ঘ. \(6a^2+4b^2\)
Q2 MCQ
The decimal \(0.1010101...\) is:
ক. Rational
খ. Irrational
গ. Integer
ঘ. Natural
Q3 MCQ
\(\log_6 216 = ?\)
ক. 2
খ. 3
গ. 4
ঘ. 6
Q4 MCQ
\(n(A)=4,n(B)=3,n(A\cup B)=6\). Find \(n(A\cap B)\).
ক. 0
খ. 1
গ. 2
ঘ. 3
Q5 MCQ
\(g(x)=2x^2+3\). Find \(g(-1)\).
ক. 1
খ. 5
গ. −1
ঘ. 3
Q6 MCQ
\(x^2+kx+9\) is a perfect square when \(k=\)?
ক. 3
খ. 6
গ. 9
ঘ. 12
Q7 MCQ
\(\log_2\frac{1}{8} = ?\)
ক. −2
খ. −3
গ. 2
ঘ. 3
Q8 MCQ
\(x^3-8 = ?\)
ক. \((x-2)^3\)
খ. \((x-2)(x^2+2x+4)\)
গ. \((x+2)(x^2-2x+4)\)
ঘ. \((x-2)(x^2-2x+4)\)
Q9 MCQ
\(16^{0.75} = ?\)
ক. 4
খ. 6
গ. 8
ঘ. 12
Q10 MCQ
\(\frac{\log 8}{\log 2} = ?\)
ক. 2
খ. 3
গ. 4
ঘ. 8
Q11 MCQ
Sum of exterior angles of any polygon:
ক. 180°
খ. 270°
গ. 360°
ঘ. 540°
Q12 MCQ
Vertical angles are:
ক. Supplementary
খ. Complementary
গ. Equal
ঘ. Adjacent
Q13 MCQ
Circumradius of right triangle with hypotenuse 10:
ক. 5
খ. 8
গ. 10
ঘ. 20
Q14 MCQ
Centroid divides each median in ratio:
ক. 1:1
খ. 1:2
গ. 2:1
ঘ. 3:1
Q15 MCQ
Equation of the x-axis:
ক. x=0
খ. y=0
গ. x=1
ঘ. y=1
Q16 MCQ
\(\sin(90°-\theta) = ?\)
ক. \(\sin\theta\)
খ. \(\cos\theta\)
গ. \(-\cos\theta\)
ঘ. \(-\sin\theta\)
Q17 MCQ
In a right triangle with legs 6 and 8, hypotenuse =
ক. 10
খ. 12
গ. 14
ঘ. 6
Q18 MCQ
An angle is 40°. Its supplement is:
ক. 50°
খ. 60°
গ. 140°
ঘ. 150°
Q19 MCQ
Points A(2,3) and B(2,7) share same x-coordinate. AB is:
ক. Horizontal
খ. Vertical
গ. Diagonal
ঘ. Oblique
Q20 MCQ
\(a^0 = ?\)
ক. 0
খ. 1
গ. a
ঘ. undefined
Q21 MCQ
Variance is always:
ক. Negative
খ. Zero
গ. Positive
ঘ. Non-negative
Q22 MCQ
\(2^8 = ?\)
ক. 64
খ. 128
গ. 256
ঘ. 512
Q23 MCQ
\(x^{1/3} = ?\)
ক. \(x^3\)
খ. \(\sqrt{x}\)
গ. \(\sqrt[3]{x}\)
ঘ. \(3x\)
Q24 MCQ
Total surface area of cube side \(a\):
ক. \(4a^2\)
খ. \(5a^2\)
গ. \(6a^2\)
ঘ. \(a^3\)
Q25 MCQ
If \(y=\frac{1}{x}\), when \(x=4\), \(y=?\)
ক. 4
খ. 2
গ. 1/2
ঘ. 1/4
Q26 MCQ
\(\cos(90°-\theta) = ?\)
ক. \(\cos\theta\)
খ. \(-\cos\theta\)
গ. \(\sin\theta\)
ঘ. \(-\sin\theta\)
Q27 MCQ
Frequency density = frequency ÷ ?
ক. Mean
খ. Median
গ. Class width
ঘ. Class mark
Q28 MCQ
HCF(a²b, ab²):
ক. ab
খ. a²b²
গ. a
ঘ. b
Q29 MCQ
\((-2)^5 = ?\)
ক. 32
খ. −32
গ. 10
ঘ. −10
Q30 MCQ
If 5 is added to each value, mean:
ক. Stays same
খ. Increases by 5
গ. Decreases by 5
ঘ. Doubles
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Barisal Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(u=\sqrt{3}+\sqrt{2},\quad v=\sqrt{3}-\sqrt{2}\)
Chapter: Real Numbers
CQ2 Creative
Stem: \(\log_2(x+1)+\log_2 4=4\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: \(A(0,0)\), \(B(9,0)\), \(C(9,12)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 70 students: 40 like Science (S), 35 like Arts (A), 15 like both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Marks: 50, 55, 60, 65, 70, 75, 80, 85, 90, 95
Chapter: Statistics
CQ6 Creative
Stem: A kite flies at 100 m height. The string makes 30° with the ground.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(p(x)=x^2-4x+4\)
Chapter: Sets and Functions
Sylhet Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Sylhet Board 2024 Click to open full size
Q1 MCQ
\((a-b+c)^2 = ?\)
ক. \(a^2+b^2+c^2-2ab+2bc-2ca\)
খ. \(a^2+b^2+c^2+2ab-2bc+2ca\)
গ. \(a^2+b^2+c^2-2ab-2bc+2ca\)
ঘ. \(a^2-b^2+c^2\)
Q2 MCQ
\(\sqrt{18} = ?\)
ক. \(3\sqrt{2}\)
খ. \(2\sqrt{3}\)
গ. \(6\sqrt{2}\)
ঘ. \(9\sqrt{2}\)
Q3 MCQ
\(\log_5 5^4 = ?\)
ক. 4
খ. 5
গ. 20
ঘ. 25
Q4 MCQ
Range of \(f(x)=x^2\) for \(x\in\mathbb{R}\):
ক. All reals
খ. Negative reals
গ. Non-negative reals
ঘ. Positive reals
Q5 MCQ
\((2x-3)(2x+3) = ?\)
ক. \(4x^2-9\)
খ. \(4x^2+9\)
গ. \(4x^2-6x+9\)
ঘ. \(2x^2-9\)
Q6 MCQ
If \(\log_x 8=3\), find \(x\).
ক. 2
খ. 3
গ. 4
ঘ. 8
Q7 MCQ
\(6x^2+7x-3\) factors as:
ক. \((2x+3)(3x-1)\)
খ. \((3x-1)(2x+3)\)
গ. \((6x-1)(x+3)\)
ঘ. \((2x-1)(3x+3)\)
Q8 MCQ
\(27^{2/3} = ?\)
ক. 3
খ. 6
গ. 9
ঘ. 18
Q9 MCQ
\(e^{\ln x} = ?\)
ক. \(\ln x\)
খ. \(x\)
গ. \(e\)
ঘ. 1
Q10 MCQ
Alternate angles on parallel lines are:
ক. Supplementary
খ. Equal
গ. Complementary
ঘ. Reflex
Q11 MCQ
In △PQR, if PQ=QR, then:
ক. ∠P=∠R
খ. ∠Q=∠R
গ. ∠P=∠Q
ঘ. All angles equal
Q12 MCQ
Angle in minor segment is:
ক. < 90°
খ. = 90°
গ. > 90°
ঘ. = 180°
Q13 MCQ
Gradient of line \(3x+4y=12\):
ক. \(-3/4\)
খ. \(3/4\)
গ. \(-4/3\)
ঘ. \(4/3\)
Q14 MCQ
Distance from origin to (5,12):
ক. 10
খ. 12
গ. 13
ঘ. 17
Q15 MCQ
\(\cos 30° = ?\)
ক. \(\frac{1}{2}\)
খ. \(\frac{\sqrt{3}}{2}\)
গ. \(\frac{1}{\sqrt{2}}\)
ঘ. \(\sqrt{3}\)
Q16 MCQ
If angle of elevation = angle of depression, then:
ক. Observer above object
খ. Object above observer
গ. Same height
ঘ. Object at horizon
Q17 MCQ
Angle at center = _ angle at circumference:
ক. Same as
খ. Half of
গ. Double of
ঘ. Four times
Q18 MCQ
Point (0,−5) lies on:
ক. x-axis
খ. y-axis
গ. Origin
ঘ. Quadrant IV
Q19 MCQ
Solve \(x^2=25\):
ক. x=5
খ. x=−5
গ. x=±5
ঘ. x=25
Q20 MCQ
\(\sin 0° = ?\)
ক. 0
খ. 1
গ. −1
ঘ. undefined
Q21 MCQ
\(\pi \approx ?\)
ক. 3.14
খ. 3.41
গ. 3.12
ঘ. 3.16
Q22 MCQ
\((-3)^4 = ?\)
ক. −81
খ. 81
গ. 12
ঘ. −12
Q23 MCQ
If \(A=B\), then \(A\cap B=?\)
ক. ∅
খ. A
গ. U
ঘ. {A,B}
Q24 MCQ
\(x^{a/b} = ?\)
ক. \(\sqrt[a]{x^b}\)
খ. \(\sqrt[b]{x^a}\)
গ. \(x^a\cdot x^b\)
ঘ. \((x^a)^b\)
Q25 MCQ
Mean > Median when distribution is:
ক. Symmetric
খ. Positively skewed
গ. Negatively skewed
ঘ. Uniform
Q26 MCQ
Histogram x-axis represents:
ক. Frequency
খ. Class boundaries
গ. Class mark
ঘ. Frequency density
Q27 MCQ
Volume of sphere r=3 (π=22/7):
ক. ≈113
খ. ≈100
গ. ≈88
ঘ. ≈126
Q28 MCQ
Surface area of cuboid 3×4×5:
ক. 60
খ. 47
গ. 94
ঘ. 120
Q29 MCQ
\(\log 100+\log 0.1 = ?\)
ক. 1
খ. 2
গ. 3
ঘ. 0
Q30 MCQ
\(\text{cosec}^2\theta-\cot^2\theta = ?\)
ক. 0
খ. 1
গ. 2
ঘ. \(\csc\theta\)
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Sylhet Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(s=\sqrt{5}+\sqrt{2},\quad t=\sqrt{5}-\sqrt{2}\)
Chapter: Real Numbers
CQ2 Creative
Stem: \(\log_4(x-3)+\log_4 2=2\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: \(L(0,0)\), \(M(7,0)\), \(N(7,24)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 100 students: 60 like History (H), 55 like Geography (G), 25 like both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Marks: 30, 35, 40, 45, 50, 55, 60, 65, 70, 75
Chapter: Statistics
CQ6 Creative
Stem: From a cliff 60 m high, angle of depression of a ship is 45°.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(r(x)=2x^2-4x+2\)
Chapter: Sets and Functions
Dinajpur Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Dinajpur Board 2024 Click to open full size
Q1 MCQ
\(a^2+b^2=20,\ a-b=2\). Find \(ab\).
ক. 8
খ. 10
গ. 12
ঘ. 16
Q2 MCQ
A rational number between \(\sqrt{3}\) and \(\sqrt{5}\):
ক. 1.7
খ. 1.9
গ. 2.1
ঘ. 2.3
Q3 MCQ
\(\log_{10} 1 = ?\)
ক. 0
খ. 1
গ. 10
ঘ. −1
Q4 MCQ
\(A \cup A = ?\)
ক. ∅
খ. A
গ. U
ঘ. {A}
Q5 MCQ
If \(h(x)=\frac{1}{x+1}\), domain excludes:
ক. 0
খ. 1
গ. −1
ঘ. ∞
Q6 MCQ
\(a^4-b^4 = ?\)
ক. \((a^2+b^2)(a+b)(a-b)\)
খ. \((a-b)^4\)
গ. \((a^2-b^2)^2\)
ঘ. \((a+b)^4\)
Q7 MCQ
\(\ln e^5 = ?\)
ক. 1
খ. e
গ. 5
ঘ. 25
Q8 MCQ
\((0.001)^{1/3} = ?\)
ক. 0.01
খ. 0.1
গ. 0.001
ঘ. 1
Q9 MCQ
\(\log_a(mn) = ?\)
ক. \(\log_a m+\log_a n\)
খ. \(\log_a m\times\log_a n\)
গ. \(m+n\)
ঘ. \(\log_a(m-n)\)
Q10 MCQ
Vertically opposite angles are formed at:
ক. Parallel lines
খ. Perpendicular lines
গ. Intersecting lines
ঘ. Transversal
Q11 MCQ
If two sides of triangle are 4 and 9, valid third side:
ক. 4
খ. 6
গ. 13
ঘ. 14
Q12 MCQ
A tangent drawn from external point, its length equals:
ক. Half chord
খ. Depends on position
গ. Equal to another tangent from same point
ঘ. Diameter
Q13 MCQ
If gradient = 0, line is:
ক. Vertical
খ. Horizontal
গ. 45° to x-axis
ঘ. Undefined
Q14 MCQ
Line \(y=x\) passes through:
ক. (1,2)
খ. (2,1)
গ. (3,3)
ঘ. (4,3)
Q15 MCQ
\(\tan 0° = ?\)
ক. 0
খ. 1
গ. undefined
ঘ. ∞
Q16 MCQ
If \(\sin\theta=1\), then \(\theta=?\)
ক. 0°
খ. 45°
গ. 60°
ঘ. 90°
Q17 MCQ
Angle subtended by diameter at circumference:
ক. 45°
খ. 60°
গ. 90°
ঘ. 180°
Q18 MCQ
Two points with same y-coordinate. The line is:
ক. Vertical
খ. Horizontal
গ. Oblique
ঘ. Undefined
Q19 MCQ
\(x^2-2x-8 = ?\)
ক. \((x-4)(x+2)\)
খ. \((x+4)(x-2)\)
গ. \((x-4)(x-2)\)
ঘ. \((x+4)(x+2)\)
Q20 MCQ
\(2\sin\theta\cos\theta = ?\)
ক. \(\cos 2\theta\)
খ. \(\sin 2\theta\)
গ. \(\sin^2\theta\)
ঘ. \(\tan\theta\)
Q21 MCQ
Largest 3-digit prime:
ক. 991
খ. 997
গ. 993
ঘ. 999
Q22 MCQ
\(\sqrt[4]{16} = ?\)
ক. 2
খ. 4
গ. 8
ঘ. 16
Q23 MCQ
If \(P(A)=0.6\), \(P(A')=?\)
ক. 0.3
খ. 0.4
গ. 0.6
ঘ. 1.6
Q24 MCQ
Mean deviation is minimum about the:
ক. Mean
খ. Median
গ. Mode
ঘ. Range
Q25 MCQ
Diagonal of square side \(a\):
ক. \(a\)
খ. \(a\sqrt{2}\)
গ. \(2a\)
ঘ. \(a^2\)
Q26 MCQ
Area of rhombus with diagonals 6 and 8:
ক. 14
খ. 24
গ. 48
ঘ. 96
Q27 MCQ
\(1-\cos^2\theta = ?\)
ক. \(\sin\theta\)
খ. \(\sin^2\theta\)
গ. \(\tan^2\theta\)
ঘ. \(\cos^2\theta\)
Q28 MCQ
Median class is the class containing:
ক. Mean
খ. Most frequent value
গ. n/2-th observation
ঘ. Smallest value
Q29 MCQ
\(4^x=32\). Find \(x\):
ক. \(\frac{3}{2}\)
খ. \(\frac{5}{2}\)
গ. 2
ঘ. 3
Q30 MCQ
If \(x+\frac{1}{x}=4\), find \(x^2+\frac{1}{x^2}\).
ক. 12
খ. 14
গ. 16
ঘ. 18
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Dinajpur Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(a+b=7,\quad ab=12\)
Chapter: Algebraic Expressions
CQ2 Creative
Stem: \(2\log_5 x - \log_5 4 = 2\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: \(X(0,0)\), \(Y(12,0)\), \(Z(12,5)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 80 students: 45 study maths (M), 40 study physics (P), 20 study both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Marks: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39
Chapter: Statistics
CQ6 Creative
Stem: From ground, angle of elevation of top of tower is 60°. Tower is 45 m tall.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(q(x)=x^2-8x+16\)
Chapter: Sets and Functions
Mymensingh Board Mathematics 2024
Part 1 — MCQ (বহুনির্বাচনি) · 30 marks · 30 min
Original Question Paper — Mymensingh Board 2024 Click to open full size
Q1 MCQ
\(x+\frac{1}{x}=4\). Find \(x^2+\frac{1}{x^2}\).
ক. 12
খ. 14
গ. 16
ঘ. 18
Q2 MCQ
Simplify \(\sqrt{50}-\sqrt{18}\).
ক. \(2\sqrt{2}\)
খ. \(3\sqrt{2}\)
গ. \(4\sqrt{2}\)
ঘ. \(\sqrt{32}\)
Q3 MCQ
\(\log 2=0.301\). Find \(\log 8\).
ক. 0.602
খ. 0.903
গ. 1.204
ঘ. 2.401
Q4 MCQ
\(n(U)=100,n(A)=60,n(B)=50,n(A\cap B)=20\). Find \(n((A\cup B)')\).
ক. 10
খ. 20
গ. 30
ঘ. 40
Q5 MCQ
If \(f(x)=|x|\), find \(f(-5)\).
ক. −5
খ. 0
গ. 5
ঘ. 25
Q6 MCQ
\(\frac{x^2-4}{x-2} = ?\)
ক. \(x+2\) (for \(x\neq2\))
খ. \(x-2\)
গ. \(x^2+4\)
ঘ. 2
Q7 MCQ
\(10^{\log_{10}7} = ?\)
ক. 7
খ. 10
গ. 70
ঘ. 100
Q8 MCQ
\(x^4-1 = ?\)
ক. \((x-1)(x+1)(x^2+1)\)
খ. \((x-1)^4\)
গ. \((x^2-1)^2\)
ঘ. \((x+1)^4\)
Q9 MCQ
\(\frac{1}{x^{-3}} = ?\)
ক. \(x^3\)
খ. \(x^{-3}\)
গ. \(\frac{1}{3x}\)
ঘ. \(-x^3\)
Q10 MCQ
Change of base: \(\log_3 7 = ?\)
ক. \(\frac{\log 7}{\log 3}\)
খ. \(\frac{\log 3}{\log 7}\)
গ. \(7\log 3\)
ঘ. \(3\log 7\)
Q11 MCQ
Corresponding angles on parallel lines are:
ক. Supplementary
খ. Equal
গ. Complementary
ঘ. Vertically opposite
Q12 MCQ
Altitude of equilateral triangle side \(a\):
ক. \(\frac{a}{2}\)
খ. \(\frac{a\sqrt{3}}{2}\)
গ. \(a\sqrt{3}\)
ঘ. \(\frac{a\sqrt{3}}{4}\)
Q13 MCQ
Two circles with same center are called:
ক. Concentric
খ. Congruent
গ. Similar
ঘ. Eccentric
Q14 MCQ
Equation of line slope=2 through (0,3):
ক. y=2x+3
খ. y=3x+2
গ. y=2x-3
ঘ. y=3x-2
Q15 MCQ
Area of triangle with vertices (0,0),(4,0),(0,3):
ক. 6
খ. 8
গ. 10
ঘ. 12
Q16 MCQ
\(\text{cosec}\,30° = ?\)
ক. 1
খ. 2
গ. √2
ঘ. √3
Q17 MCQ
In right triangle, if \(\sin A=\frac{5}{13}\), then \(\cos A=?\)
ক. \(\frac{12}{13}\)
খ. \(\frac{5}{12}\)
গ. \(\frac{13}{5}\)
ঘ. \(\frac{13}{12}\)
Q18 MCQ
The longest chord of a circle is:
ক. Any chord
খ. Diameter
গ. Radius
ঘ. Arc
Q19 MCQ
Gradient of line joining (2,3) and (4,7):
ক. 1
খ. 2
গ. 3
ঘ. 4
Q20 MCQ
\((x+3)^2 = ?\)
ক. \(x^2+9\)
খ. \(x^2+3x+9\)
গ. \(x^2+6x+9\)
ঘ. \(x^2+6x+3\)
Q21 MCQ
\(\tan 30° = ?\)
ক. \(\frac{1}{\sqrt{3}}\)
খ. \(\sqrt{3}\)
গ. \(\frac{\sqrt{3}}{2}\)
ঘ. \(\frac{1}{2}\)
Q22 MCQ
Total number of rational numbers between 0 and 1:
ক. 10
খ. 100
গ. Finite
ঘ. Infinite
Q23 MCQ
\(A \cap A' = ?\)
ক. A
খ. ∅
গ. U
ঘ. A'
Q24 MCQ
\(x^{-1}+y^{-1} = ?\)
ক. \(\frac{x+y}{xy}\)
খ. \(\frac{1}{x+y}\)
গ. \(x+y\)
ঘ. \(xy\)
Q25 MCQ
Ogive is used to find:
ক. Mean
খ. Mode
গ. Median
ঘ. Variance
Q26 MCQ
Frequency polygon connects midpoints of:
ক. Class boundaries
খ. Class marks
গ. Frequency
ঘ. Cumulative frequency
Q27 MCQ
\(\text{cosec}^2\theta-\cot^2\theta = ?\)
ক. 0
খ. 1
গ. 2
ঘ. \(\csc\theta\)
Q28 MCQ
Area of parallelogram base=8, height=5:
ক. 13
খ. 20
গ. 40
ঘ. 80
Q29 MCQ
Curved surface area of cylinder r=4, h=10 (π=22/7):
ক. 251.4
খ. 1760/7
গ. 880/7
ঘ. 440/7
Q30 MCQ
If mean=median=mode, distribution is:
ক. Positively skewed
খ. Negatively skewed
গ. Symmetric
ঘ. Bimodal
Part 2 — Creative Questions (সৃজনশীল) · 70 marks · Answer any 5 of 7
Creative Question Paper — Mymensingh Board 2024 10 marks each · ক=2 · খ=4 · গ=4
CQ1 Creative
Stem: \(c+d=9,\quad cd=20\)
Chapter: Algebraic Expressions
CQ2 Creative
Stem: \(\log_3 x=2,\quad \log_9 y=1\)
Chapter: Exponents and Logarithms
CQ3 Creative
Stem: \(A(0,0)\), \(B(15,0)\), \(C(15,8)\)
Chapter: Algebraic Ratio and Proportion
CQ4 Creative
Stem: 120 students: 70 play indoor (I), 65 play outdoor (O), 30 play both.
Chapter: Sets and Functions
CQ5 Creative
Stem: Heights (cm): 150, 155, 160, 165, 170, 175, 180, 145, 140, 185
Chapter: Statistics
CQ6 Creative
Stem: A ladder 10 m long leans against a wall. Foot makes 60° with ground.
Chapter: Trigonometric Ratio
CQ7 Creative
Stem: \(t(x)=x^2-10x+25\)
Chapter: Sets and Functions