HSC Core Subjects 3

Question 1

In Mathematics Extension 1, the binomial theorem expands (a + b)ⁿ. What is the coefficient of the third term when n = 4?

Accepted Answer

6

Answer

The third term of (a+b)⁴ uses C(4,2) = 6 as its binomial coefficient.

Question 2

Which of the following best defines 'homeostasis' in Biology?

Accepted Answer

The maintenance of a stable internal environment despite external changes

Answer

Homeostasis refers to the body's ability to regulate internal conditions such as temperature and pH within a narrow range.

Question 3

In English, the term 'intertextuality' refers to:

Accepted Answer

The way a text references, echoes, or is shaped by other texts

Answer

Intertextuality describes how texts inherently contain references or relationships to other texts.

Question 4

In Chemistry, Le Chatelier's Principle states that a system at equilibrium will:

Accepted Answer

Shift to counteract any applied stress and restore equilibrium

Answer

Le Chatelier's Principle predicts that a system will oppose any change imposed on it to re-establish equilibrium.

Question 5

Which economic concept refers to the additional output produced by employing one more unit of a factor of production?

Accepted Answer

Marginal product

Answer

Marginal product measures the change in total output resulting from adding one more unit of an input, like labor.

(HSC) Higher School Certificate test Practice Test