Mathematics Challenge for Grade 10

Solve the equation: 3x + 5 = 20.

• 5

• 15

• 10

• 0

What is the vertex of the quadratic function y = x^2 - 4x + 3?

• (2, -1)

• (1, 2)

• (3, 0)

• (0, 3)

Calculate the mean of the following numbers: 5, 10, 15, 20.

• 10

• 20

• 12.5

• 15

If sin(θ) = 0.5, what is the value of θ in degrees?

• 30° and 150°

• 180°

• 90°

• 0°

Solve for x: 2(x - 3) = 4.

• 5

• 6

• 3

• 2

Sketch the graph of the function y = -x^2 + 6x - 8.

• The graph is a downward-opening parabola with vertex at (1, 5) and y-intercept at (0, -6).

• The graph is a straight line with a slope of -2 and y-intercept at (0, -8).

• The graph is a downward-opening parabola with vertex at (3, 1) and y-intercept at (0, -8).

• The graph is an upward-opening parabola with vertex at (2, 4) and y-intercept at (0, 8).

Find the median of the following data set: 2, 3, 5, 7, 11.

• 7

• 5

• 11

• 3

What is the cosine of a 45-degree angle?

• 1

• 0

• √2/2

• √3/2

If the mode of a data set is 7, what does that indicate?

• The number 7 is the highest value in the data set.

• The number 7 appears most frequently in the data set.

• The number 7 is the sum of all values in the data set.

• The number 7 is the average of the data set.

Determine the roots of the quadratic equation x^2 - 5x + 6 = 0.

• x = 2, x = 3

• x = -2, x = -3

• x = 1, x = 6

• x = 0, x = 5