All questions. All solved.

If \(A = \{a, b, c\}\), how many proper subsets does \(A\) have?

If \(A \cup B = A\), then which is true?

If \(f(x) = x^2 - 4x + 3\), find \(f(1)\).

\((a+b)^2 - (a-b)^2 = ?\)

If \(x^2 - 7x + 12 = 0\), find the roots.

\(0.\overline{27}\) expressed as a fraction is:

\(\sqrt{12} + \sqrt{27} = ?\)

If \(\sqrt{2} = 1.414\), find \(\sqrt{8}\).

\(\log_{10} 0.01 = ?\)

\(\log_a a^5 = ?\)

\(\left(\frac{2}{3}\right)^{-2} = ?\)

If \(5^x = 625\), find \(x\).

The sum of roots of \(x^2 + 5x + 6 = 0\) is:

The line \(y = 2x + 3\) has slope:

Which point lies on the x-axis?

The sum of interior angles of a pentagon is:

An inscribed angle in a semicircle is:

\(\cos 60° = ?\)

\(\sec \theta = ?\)

If \(\sin \theta = \frac{3}{5}\), find \(\cos \theta\) (\(\theta\) is acute).

The mode of 2, 3, 4, 3, 5, 3, 6 is:

The range of the data 8, 15, 3, 22, 10 is:

The circumference of a circle with diameter 14 cm is: (\(\pi = \frac{22}{7}\))

The surface area of a sphere with radius 3 cm is: (\(\pi = \frac{22}{7}\))

If the ratio of two numbers is 3:5 and their sum is 64, find the larger number.

A shirt originally priced at Tk. 800 is sold at 15% discount. The selling price is:

If \(a^2 + b^2 = 25\) and \(ab = 12\), find \((a+b)^2\).

The area of a triangle with vertices \((0,0)\), \((4,0)\), \((0,3)\) is:

Two tangents drawn from an external point to a circle are:

\(\tan 45° + \cos 0° = ?\)

If \(A = \{x : x \text{ is a prime number less than 10}\}\), find \(n(A)\).

\(A \cup \emptyset = ?\)

If \(f(x) = 2x^2 + 1\), find \(f(-2)\).

\((x+y)^3 = ?\)

Factorize: \(x^3 - 8\)

Between 1 and 2, how many irrational numbers exist?

\(\frac{\sqrt{75}}{\sqrt{3}} = ?\)

\((\sqrt{5} + \sqrt{2})^2 = ?\)

\(\log 100 - \log 10 = ?\)

If \(\log x + \log 4 = \log 20\), find \(x\).

\((a^m)^n = ?\)

\(4^{1.5} = ?\)

If \(\frac{x}{y} = \frac{2}{3}\), find \(\frac{3x - 2y}{3x + 2y}\).

The y-intercept of \(3x + 4y = 12\) is:

The distance of point \((3, 4)\) from the origin is:

In a right triangle, if one acute angle is 35°, the other is:

The angle at the center of a circle is twice the angle at the circumference subtended by the same arc. If the inscribed angle is 40°, the central angle is:

\(\tan 60° = ?\)

\(1 + \tan^2 \theta = ?\)

If \(\cos \theta = \frac{12}{13}\), find \(\sin \theta\) (\(\theta\) acute).

The mean of first 10 natural numbers is:

If each data value is increased by 5, the mean will:

The area of an equilateral triangle with side 6 cm is:

The volume of a sphere with radius 3 cm is: (\(\pi = \frac{22}{7}\))

If 3 workers finish a job in 12 days, how many days will 4 workers take?

The compound interest on Tk. 1000 at 10% for 2 years is:

The HCF of \(x^2 - 4\) and \(x^2 - 4x + 4\) is:

Two lines are parallel if their slopes are:

The number of diagonals of a hexagon is:

\(\sin 90° - \cos 90° = ?\)

If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), find \(A \cap B\).

If \(n(U) = 50\), \(n(A) = 30\), \(n(B) = 25\), \(n(A \cap B) = 10\), find \(n((A \cup B)')\).

If \(f(x) = 3x - 5\), find \(f^{-1}(7)\).

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\).

Factorize: \(x^2 - 5x + 6\)

Which of the following is a rational number?

Simplify: \(\sqrt{50} + \sqrt{18}\)

Rationalize: \(\dfrac{1}{\sqrt{5}+\sqrt{3}}\)

\(\log_3 81 = ?\)

If \(\log_5 x = 3\), find \(x\).

Simplify: \(2^3 \times 2^5\)

If \(3^{x+1} = 27\), find \(x\).

If \(a - b = 3\) and \(a^2 - b^2 = 27\), find \(a + b\).

Find the distance between points \((1, 2)\) and \((4, 6)\).

Find the midpoint of \((2, 4)\) and \((6, 8)\).

In a triangle, if two angles are 50° and 60°, the third angle is:

A chord of a circle is 8 cm long and its distance from the center is 3 cm. What is the radius?

\(\sin 30° = ?\)

If \(\tan \theta = 1\) and \(0° < \theta < 90°\), then \(\theta = ?\)

\(\sin^2 \theta + \cos^2 \theta = ?\)

The mean of 5, 10, 15, 20, 25 is:

The median of 3, 7, 1, 9, 5 is:

The area of a circle with radius 7 cm is: (Use \(\pi = \frac{22}{7}\))

The volume of a cube with side 5 cm is:

A product is bought for Tk. 200 and sold for Tk. 250. The profit percentage is:

Simple interest on Tk. 1000 at 10% per annum for 3 years is:

If \(2x + 3 = 11\), find \(x\).

The slope of the line passing through \((0,0)\) and \((3,6)\) is:

An exterior angle of a regular hexagon is:

\(\cos 0° + \sin 90° = ?\)

If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), find \(A \cap B\).

If \(n(U) = 50\), \(n(A) = 30\), \(n(B) = 25\), \(n(A \cap B) = 10\), find \(n((A \cup B)')\).

If \(f(x) = 3x - 5\), find \(f^{-1}(7)\).

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\).

Factorize: \(x^2 - 5x + 6\)

Which of the following is a rational number?

Simplify: \(\sqrt{50} + \sqrt{18}\)

Rationalize: \(\dfrac{1}{\sqrt{5}+\sqrt{3}}\)

\(\log_3 81 = ?\)

If \(\log_5 x = 3\), find \(x\).

Simplify: \(2^3 \times 2^5\)

If \(3^{x+1} = 27\), find \(x\).

If \(a - b = 3\) and \(a^2 - b^2 = 27\), find \(a + b\).

Find the distance between points \((1, 2)\) and \((4, 6)\).

Find the midpoint of \((2, 4)\) and \((6, 8)\).

In a triangle, if two angles are 50° and 60°, the third angle is:

A chord of a circle is 8 cm long and its distance from the center is 3 cm. What is the radius?

\(\sin 30° = ?\)

If \(\tan \theta = 1\) and \(0° < \theta < 90°\), then \(\theta = ?\)

\(\sin^2 \theta + \cos^2 \theta = ?\)

The mean of 5, 10, 15, 20, 25 is:

The median of 3, 7, 1, 9, 5 is:

The area of a circle with radius 7 cm is: (Use \(\pi = \frac{22}{7}\))

The volume of a cube with side 5 cm is:

A product is bought for Tk. 200 and sold for Tk. 250. The profit percentage is:

Simple interest on Tk. 1000 at 10% per annum for 3 years is:

If \(2x + 3 = 11\), find \(x\).

The slope of the line passing through \((0,0)\) and \((3,6)\) is:

An exterior angle of a regular hexagon is:

\(\cos 0° + \sin 90° = ?\)

If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), find \(A \cap B\).

If \(n(U) = 50\), \(n(A) = 30\), \(n(B) = 25\), \(n(A \cap B) = 10\), find \(n((A \cup B)')\).

If \(f(x) = 3x - 5\), find \(f^{-1}(7)\).

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\).

Factorize: \(x^2 - 5x + 6\)

Which of the following is a rational number?

Simplify: \(\sqrt{50} + \sqrt{18}\)

Rationalize: \(\dfrac{1}{\sqrt{5}+\sqrt{3}}\)

\(\log_3 81 = ?\)

If \(\log_5 x = 3\), find \(x\).

Simplify: \(2^3 \times 2^5\)

If \(3^{x+1} = 27\), find \(x\).

If \(a - b = 3\) and \(a^2 - b^2 = 27\), find \(a + b\).

Find the distance between points \((1, 2)\) and \((4, 6)\).

Find the midpoint of \((2, 4)\) and \((6, 8)\).

In a triangle, if two angles are 50° and 60°, the third angle is:

A chord of a circle is 8 cm long and its distance from the center is 3 cm. What is the radius?

\(\sin 30° = ?\)

If \(\tan \theta = 1\) and \(0° < \theta < 90°\), then \(\theta = ?\)

\(\sin^2 \theta + \cos^2 \theta = ?\)

The mean of 5, 10, 15, 20, 25 is:

The median of 3, 7, 1, 9, 5 is:

The area of a circle with radius 7 cm is: (Use \(\pi = \frac{22}{7}\))

The volume of a cube with side 5 cm is:

A product is bought for Tk. 200 and sold for Tk. 250. The profit percentage is:

Simple interest on Tk. 1000 at 10% per annum for 3 years is:

If \(2x + 3 = 11\), find \(x\).

The slope of the line passing through \((0,0)\) and \((3,6)\) is:

An exterior angle of a regular hexagon is:

\(\cos 0° + \sin 90° = ?\)

If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), find \(A \cap B\).

If \(n(U) = 50\), \(n(A) = 30\), \(n(B) = 25\), \(n(A \cap B) = 10\), find \(n((A \cup B)')\).

If \(f(x) = 3x - 5\), find \(f^{-1}(7)\).

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\).

Factorize: \(x^2 - 5x + 6\)

Which of the following is a rational number?

Simplify: \(\sqrt{50} + \sqrt{18}\)

Rationalize: \(\dfrac{1}{\sqrt{5}+\sqrt{3}}\)

\(\log_3 81 = ?\)

If \(\log_5 x = 3\), find \(x\).

Simplify: \(2^3 \times 2^5\)

If \(3^{x+1} = 27\), find \(x\).

If \(a - b = 3\) and \(a^2 - b^2 = 27\), find \(a + b\).

Find the distance between points \((1, 2)\) and \((4, 6)\).

Find the midpoint of \((2, 4)\) and \((6, 8)\).

In a triangle, if two angles are 50° and 60°, the third angle is:

A chord of a circle is 8 cm long and its distance from the center is 3 cm. What is the radius?

\(\sin 30° = ?\)

If \(\tan \theta = 1\) and \(0° < \theta < 90°\), then \(\theta = ?\)

\(\sin^2 \theta + \cos^2 \theta = ?\)

The mean of 5, 10, 15, 20, 25 is:

The median of 3, 7, 1, 9, 5 is:

The area of a circle with radius 7 cm is: (Use \(\pi = \frac{22}{7}\))

The volume of a cube with side 5 cm is:

A product is bought for Tk. 200 and sold for Tk. 250. The profit percentage is:

Simple interest on Tk. 1000 at 10% per annum for 3 years is:

If \(2x + 3 = 11\), find \(x\).

The slope of the line passing through \((0,0)\) and \((3,6)\) is:

An exterior angle of a regular hexagon is:

\(\cos 0° + \sin 90° = ?\)

If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), find \(A \cap B\).

If \(n(U) = 50\), \(n(A) = 30\), \(n(B) = 25\), \(n(A \cap B) = 10\), find \(n((A \cup B)')\).

If \(f(x) = 3x - 5\), find \(f^{-1}(7)\).

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\).

Factorize: \(x^2 - 5x + 6\)

Which of the following is a rational number?

Simplify: \(\sqrt{50} + \sqrt{18}\)

Rationalize: \(\dfrac{1}{\sqrt{5}+\sqrt{3}}\)

\(\log_3 81 = ?\)

If \(\log_5 x = 3\), find \(x\).

Simplify: \(2^3 \times 2^5\)

If \(3^{x+1} = 27\), find \(x\).

If \(a - b = 3\) and \(a^2 - b^2 = 27\), find \(a + b\).

Find the distance between points \((1, 2)\) and \((4, 6)\).

Find the midpoint of \((2, 4)\) and \((6, 8)\).

In a triangle, if two angles are 50° and 60°, the third angle is:

A chord of a circle is 8 cm long and its distance from the center is 3 cm. What is the radius?

\(\sin 30° = ?\)

If \(\tan \theta = 1\) and \(0° < \theta < 90°\), then \(\theta = ?\)

\(\sin^2 \theta + \cos^2 \theta = ?\)

The mean of 5, 10, 15, 20, 25 is:

The median of 3, 7, 1, 9, 5 is:

The area of a circle with radius 7 cm is: (Use \(\pi = \frac{22}{7}\))

The volume of a cube with side 5 cm is:

A product is bought for Tk. 200 and sold for Tk. 250. The profit percentage is:

Simple interest on Tk. 1000 at 10% per annum for 3 years is:

If \(2x + 3 = 11\), find \(x\).

The slope of the line passing through \((0,0)\) and \((3,6)\) is:

An exterior angle of a regular hexagon is:

\(\cos 0° + \sin 90° = ?\)

If \(A = \{1,2,3,4\}\) and \(B = \{3,4,5,6\}\), find \(A \cap B\).

If \(n(U) = 50\), \(n(A) = 30\), \(n(B) = 25\), \(n(A \cap B) = 10\), find \(n((A \cup B)')\).

If \(f(x) = 3x - 5\), find \(f^{-1}(7)\).

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\).

Factorize: \(x^2 - 5x + 6\)

Which of the following is a rational number?

Simplify: \(\sqrt{50} + \sqrt{18}\)

Rationalize: \(\dfrac{1}{\sqrt{5}+\sqrt{3}}\)

\(\log_3 81 = ?\)

If \(\log_5 x = 3\), find \(x\).

Simplify: \(2^3 \times 2^5\)

If \(3^{x+1} = 27\), find \(x\).

If \(a - b = 3\) and \(a^2 - b^2 = 27\), find \(a + b\).

Find the distance between points \((1, 2)\) and \((4, 6)\).

Find the midpoint of \((2, 4)\) and \((6, 8)\).

In a triangle, if two angles are 50° and 60°, the third angle is:

A chord of a circle is 8 cm long and its distance from the center is 3 cm. What is the radius?

\(\sin 30° = ?\)

If \(\tan \theta = 1\) and \(0° < \theta < 90°\), then \(\theta = ?\)

\(\sin^2 \theta + \cos^2 \theta = ?\)

The mean of 5, 10, 15, 20, 25 is:

The median of 3, 7, 1, 9, 5 is:

The area of a circle with radius 7 cm is: (Use \(\pi = \frac{22}{7}\))

The volume of a cube with side 5 cm is:

A product is bought for Tk. 200 and sold for Tk. 250. The profit percentage is:

Simple interest on Tk. 1000 at 10% per annum for 3 years is:

If \(2x + 3 = 11\), find \(x\).

The slope of the line passing through \((0,0)\) and \((3,6)\) is:

An exterior angle of a regular hexagon is:

\(\cos 0° + \sin 90° = ?\)