Topics

Question 1

What is the quadratic formula used to find the roots of a quadratic equation?

Answer 1

x = (-b ± √(b² - 4ac)) / (2a)

Question 2

What is the value of π (pi) to two decimal places?

Answer 2

3.14

Question 3

True or False: The sum of the angles in a triangle is always 180 degrees.

Answer 3

True

Question 4

What is the gradient of the line represented by the equation y = 3x + 4?

Answer 4

3

Question 5

Fill in the blank: The area of a circle is calculated using the formula ____.

Answer 5

A = πr²

Question 6

What is the Pythagorean theorem?

Answer 6

a² + b² = c²

Question 7

Multiple Choice: What is 15% of 200? A) 20 B) 25 C) 30 D) 35

Answer 7

B) 30

Question 8

In statistics, what does the median represent?

Answer 8

The middle value when data is ordered.

Question 9

What is the formula for the circumference of a circle?

Answer 9

C = 2πr

Question 10

True or False: A prime number has exactly two distinct positive divisors.

Answer 10

True

Question 11

What is the difference between a rational number and an irrational number?

Answer 11

A rational number can be expressed as a fraction, while an irrational number cannot.

Question 12

Fill in the blank: The slope-intercept form of a linear equation is ____.

Answer 12

y = mx + b

Question 13

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Answer 13

Volume = πr²h = 45π cm³

Question 14

Multiple Choice: Which of the following is an example of a non-linear function? A) y = 2x B) y = x² C) y = 5 D) y = 3x + 1

Answer 14

B) y = x²

Question 15

What is the formula to calculate the area of a triangle?

Answer 15

A = 1/2 × base × height

Question 16

True or False: The mode of a set of numbers is the average of those numbers.

Answer 16

False

Question 17

What is the range of the data set {4, 8, 6, 5, 3}?

Answer 17

5

Question 18

Fill in the blank: The probability of an event is calculated as ____.

Answer 18

Number of favorable outcomes / Total number of outcomes

Question 19

What is the equation of a line that passes through the points (2, 3) and (4, 7)?

Answer 19

y = 2x - 1

Question 20

Multiple Choice: What is the solution to the equation 2x + 3 = 11? A) 2 B) 3 C) 4 D) 5

Answer 20

C) 4

Question 21

What are complementary angles?

Answer 21

Two angles that add up to 90 degrees.

Question 22

True or False: A parallelogram has opposite sides that are both equal and parallel.

Answer 22

True

Question 23

What is the formula for calculating simple interest?

Answer 23

I = Prt

Question 24

Fill in the blank: The standard deviation measures the ____ of a data set.

Answer 24

spread or dispersion

Question 25

What is the area of a rectangle with a length of 10 cm and a width of 4 cm?

Answer 25

40 cm²

Question 26

What is a simultaneous equation?

Answer 26

A simultaneous equation is a set of equations with multiple variables that are solved together to find the values of the variables.

Question 27

True or False: The substitution method is one way to solve simultaneous equations.

Answer 27

True

Question 28

Fill in the blank: To solve the equations 2x + 3y = 6 and x - y = 4, you can use the __________ method.

Answer 28

substitution

Question 29

What are the two main methods for solving simultaneous equations?

Answer 29

The two main methods are substitution and elimination.

Question 30

If you have the equations 3x + 2y = 12 and 5x - 4y = -2, what is the value of y when using the elimination method?

Answer 30

y = 2