Basic Questions Flashcards

1
Q

What is the quadratic formula?

A

The quadratic formula is x = (-b ± √(b² - 4ac)) / 2a.

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2
Q

What is the formula for the area of a circle?

A

The area of a circle is A = πr², where r is the radius.

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3
Q

Solve for x: 3x + 5 = 20.

A

x = 5.

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4
Q

What is the Pythagorean theorem?

A

The Pythagorean theorem is a² + b² = c², where a and b are the legs of a right triangle and c is the hypotenuse.

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5
Q

What is the sum of the interior angles of a triangle?

A

The sum of the interior angles of a triangle is always 180°.

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6
Q

Simplify: 4x + 7x.

A

11x.

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7
Q

What is the probability of rolling a 3 on a fair six-sided die?

A

The probability is 1/6.

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8
Q

Solve for x: 2(x - 3) = 14.

A

x = 10.

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9
Q

What is the area of a rectangle with length 5 cm and width 8 cm?

A

Area = 5 × 8 = 40 cm².

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10
Q

What is the volume of a cube with side length 4 cm?

A

Volume = 4³ = 64 cm³.

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11
Q

What is the gradient of the line with equation y = 2x + 5?

A

The gradient is 2.

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12
Q

What is the formula for the circumference of a circle?

A

The circumference of a circle is C = 2πr, where r is the radius.

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13
Q

Solve for x: 5x - 3 = 2x + 4.

A

x = 7/3.

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14
Q

What is the mean of the numbers 3, 5, 7, 9, 11?

A

Mean = (3 + 5 + 7 + 9 + 11) / 5 = 35 / 5 = 7.

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15
Q

What is the formula for the area of a triangle?

A

The area of a triangle is A = ½ × base × height.

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16
Q

Solve for x: x² = 16.

A

x = ±4.

17
Q

What is the difference between mean and median?

A

The mean is the average of all numbers, while the median is the middle value in a set of numbers.

18
Q

What is the probability of drawing a red card from a standard deck of 52 cards?

A

The probability is 26/52 or 1/2.

19
Q

Simplify: 5(x - 2) + 3x.

A

8x - 10.

20
Q

What is the formula for the surface area of a sphere?

A

Surface area = 4πr², where r is the radius.