15 Questions
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What does mathematical activity involve?
Discovery of properties of abstract objects and deductive reasoning
In what areas is mathematics essential?
Natural sciences, engineering, medicine, and finance
What consists of a proof in mathematics?
Succession of applications of deductive rules to already established results
Which areas of mathematics are often grouped under applied mathematics?
Statistics and game theory
What is 25% expressed as a fraction?
1/4
If a product initially costs $80 and later increases by 20%, what is the new price?
$96
What does the symbol '‰' represent in relation to percentages?
Per thousand
If a rectangle is increased in size by 50%, what is the new area in terms of the original area?
200% of the original area
What is the fraction equivalent of 80%?
4/5
What is 75% as a fraction?
3/4
If a store offers a 20% discount on a $60 item, what will be the discounted price?
$48
What is 40% of 250?
90
If a company's profits increased from $500 to $600, what is the percentage increase?
10%
What is the equivalent of 33.33...% as a fraction?
$1/3
Study Notes
Overview of Mathematics
- Modern mathematics has various subdisciplines, which are not specified in this text.
Mathematical Activity
- Mathematical activity involves problem-solving, conjecturing, and proof.
Importance of Mathematics
- Mathematics is essential in various areas, which are not specified in this text.
Mathematical Proof
- A proof in mathematics consists of a logical and systematic argument that establishes the truth of a statement.
Applied Mathematics
- Applied mathematics encompasses various areas, including optimization, probability, and statistics.
Percentages and Fractions
- 25% can be expressed as the fraction 1/4.
- A 20% increase in price from $80 is equivalent to a new price of $96.
- The symbol '‰' represents "per thousand" in relation to percentages.
- If a rectangle increases in size by 50%, its new area is 1.5 times the original area.
- The fraction equivalent of 80% is 4/5.
- 75% is equivalent to the fraction 3/4.
- A 20% discount on a $60 item results in a discounted price of $48.
- 40% of 250 is equivalent to 0.4 × 250 = 100.
- A profit increase from $500 to $600 represents a 20% increase.
- 33.33...% is equivalent to the fraction 1/3.
Test your knowledge of numbers, formulas, shapes, and quantities in mathematics with this quiz. Explore major subdisciplines like number theory, algebra, geometry, and analysis.
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