ESAT ESAT Mathematics 2

Question 1

What is the determinant of the matrix [[2, 3], [1, 4]]?

Accepted Answer

5

Answer

8

Answer

11

Answer

2

Question 2

In ESAT Mathematics, what does it mean for a function to be continuous at a point x = a?

Accepted Answer

The limit as x→a equals f(a)

Answer

The function is differentiable at a

Answer

f(a) = 0

Answer

The function is periodic

Question 3

Find the equation of the line perpendicular to y = 2x + 5 passing through (4, 1).

Accepted Answer

y = -x/2 + 3

Answer

y = 2x - 7

Answer

y = -x/2 - 3

Answer

y = x/2 + 3

Question 4

What is the binomial expansion of (1 + x)⁴?

Accepted Answer

1 + 4x + 6x² + 4x³ + x⁴

Answer

1 + 4x + 4x² + x⁴

Answer

1 + x + x² + x³ + x⁴

Answer

4 + 4x + 6x² + 4x³

Question 5

Which of the following best represents the ESAT Mathematics difficulty level?

Accepted Answer

A-level Further Mathematics standard

Answer

GCSE standard

Answer

Undergraduate university level

Answer

Primary school level

Question 6

Solve: |2x - 3| < 7

Accepted Answer

-2 < x < 5

Answer

x > 5 or x < -2

Answer

-2 ≤ x ≤ 5

Answer

x > 5