Mathematics Mastery Challenge

What is the product of the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]]?

• [[10, 12], [20, 24]]

• [[15, 18], [33, 38]]

• [[19, 22], [43, 50]]

• [[23, 26], [53, 60]]

Calculate the determinant of the matrix [[3, 2], [1, 4]].

• 10

• 8

• 5

• 12

Find the inverse of the matrix [[2, 3], [5, 7]].

• [[-7, 3], [5, -2]]

• [[1, 2], [3, 4]]

• [[0, 1], [1, 0]]

• [[2, -3], [-5, 7]]

If a circle has a radius of 5, what is its circumference?

• 20π

• 15π

• 10π

• 5π

What is the probability of rolling a sum of 7 with two six-sided dice?

• 1/4

• 1/8

• 1/6

• 1/12

Multiply the matrices C = [[1, 0, 2], [0, 1, 3]] and D = [[3, 1], [2, 0], [1, 4]].

• [[5, 9], [5, 12]]

• [[1, 2], [3, 4]]

• [[3, 7], [2, 5]]

• [[4, 8], [6, 10]]

Determine the determinant of the matrix [[2, 3, 1], [4, 1, 2], [3, 2, 1]].

• -1

• 5

• 7

• 10

Calculate the inverse of the matrix [[1, 2], [3, 4]].

• [[4, 3], [2, 1]]

• [[-2, 1], [1.5, -0.5]]

• [[1, 2], [3, 5]]

• [[0, 1], [1, 0]]

What is the area of a circle with a diameter of 10?

• 25π

• 15π

• 50π

• 20π

If you draw a card from a standard deck, what is the probability of drawing a heart?

• 1/2

• 1/4

• 1/5

• 1/3