EmSAT Mathematics 4

Question 1

What is the value of ∫₀² (3x² − 2x) dx?

Accepted Answer

4

Answer

∫(3x²−2x)dx = x³−x², evaluated from 0 to 2 gives (8−4)−0 = 4.

Question 2

If matrix A = [[2, 1],[3, 4]], what is det(A)?

Accepted Answer

5

Answer

det(A) = (2)(4) − (1)(3) = 8 − 3 = 5.

Question 3

How many ways can 4 students be chosen from a group of 10?

Accepted Answer

210

Answer

C(10,4) = 10!/(4!6!) = 210.

Question 4

The line y = 2x + 3 is parallel to which of the following lines?

Accepted Answer

y = 2x − 7

Answer

Parallel lines have identical slopes; y = 2x − 7 has slope 2, matching the original.

Question 5

A probability distribution table shows P(X=1)=0.2, P(X=2)=0.5, P(X=3)=0.3. What is E(X)?

Accepted Answer

2.1

Answer

E(X) = 1(0.2) + 2(0.5) + 3(0.3) = 0.2 + 1.0 + 0.9 = 2.1.

EmSAT Practice Test