Academic Excellence Flashcards

A cistern fills in 4 hours with one pipe and drains in 6 hours with another. If both are open, how many hours to fill the cistern from empty?

Answer: 12 hours

Net fill rate = 1/4 − 1/6 = 1/12 per hour, so it takes 12 hours to fill.

Which of the following best describes the term 'inference' in reading comprehension?

Answer: Drawing a conclusion from implied information

An inference is a logical conclusion the reader draws from clues in the text rather than from directly stated facts.

Which economic principle states that as the price of a good rises, the quantity demanded by consumers decreases, all else equal?

Answer: Law of Demand

The Law of Demand describes the inverse relationship between price and quantity demanded, assuming all other factors remain constant.

If the pattern continues: 2, 6, 18, 54, ___, what is the next number?

Answer: 162

Each term is multiplied by 3; 54 × 3 = 162.

Which punctuation mark is used to indicate that letters have been omitted from a word, such as in contractions?

Answer: Apostrophe

An apostrophe signals missing letters in contractions like 'can't' (cannot) or 'they're' (they are).

What is the capital of Australia?

Answer: Canberra

Canberra is Australia's capital city, chosen as a compromise between rival cities Sydney and Melbourne.

A school fundraiser sells two types of tickets: adult tickets for $8 each and child tickets for $5 each. If 120 tickets were sold for a total of $756, how many adult tickets were sold?

Answer: 52

Let a = adult tickets; 8a + 5(120 − a) = 756 → 3a + 600 = 756 → a = 52.