ESAT ESAT Mathematics

Question 1

In the ESAT Mathematics section, if f(x) = 3x² - 2x + 1, what is f'(x)?

Accepted Answer

6x - 2

Answer

3x - 2

Answer

6x + 1

Answer

3x² - 2

Question 2

Which of the following is tested in the ESAT Mathematics component?

Accepted Answer

Calculus and algebra

Answer

Essay writing

Answer

Data interpretation only

Answer

Programming logic

Question 3

Solve for x: log₂(x) + log₂(4) = 5

Accepted Answer

8

Answer

16

Answer

32

Answer

4

Question 4

In an ESAT-style problem, how many radians is 270°?

Accepted Answer

3π/2

Answer

π/2

Answer

2π/3

Answer

π

Question 5

What is the sum of the infinite geometric series 1 + 1/3 + 1/9 + ...?

Accepted Answer

3/2

Answer

2/3

Answer

1/2

Answer

3

Question 6

Which integration technique would best solve ∫ x·eˣ dx in an ESAT question?

Accepted Answer

Integration by parts

Answer

Substitution

Answer

Partial fractions

Answer

Trigonometric substitution