EmSAT Mathematics 2

Question 1

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

Accepted Answer

1/2

Answer

A standard deck has 26 red cards (13 hearts + 13 diamonds) out of 52 total cards. Probability = 26/52 = 1/2.

Question 2

What is the value of log₁₀(1000)?

Accepted Answer

3

Answer

log₁₀(1000) = 3 because 10³ = 1000.

Question 3

If the mean of five numbers is 12, what is their sum?

Accepted Answer

60

Answer

Mean = Sum / Count, so Sum = Mean × Count = 12 × 5 = 60.

Question 4

What is the length of the hypotenuse of a right triangle with legs of 5 cm and 12 cm?

Accepted Answer

13 cm

Answer

Using the Pythagorean theorem: c² = a² + b² = 25 + 144 = 169, so c = √169 = 13 cm.

Question 5

What is the equation of a circle with center (3, -2) and radius 5?

Accepted Answer

(x - 3)² + (y + 2)² = 25

Answer

The standard form of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center and r is the radius: (x - 3)² + (y - (-2))² = 5² = (x - 3)² + (y + 2)² = 25.

EmSAT Practice Test

EmSAT Practice Test

EmSAT Mathematics 2