Applied Mathematics – Questions and Answers
Section 1: Basic Applied Mathematics
Question 1
What is applied mathematics?
Answer:
Applied mathematics is the use of mathematical methods to solve real-world problems in
fields such as business, engineering, economics, science, and technology. It focuses on
practical applications rather than abstract theory.
Question 2
Differentiate between pure mathematics and applied mathematics.
Answer:
Pure mathematics focuses on theoretical concepts and abstract reasoning, while applied
mathematics uses mathematical tools to analyze and solve practical problems in real-life
situation
Question 3
Why is applied mathematics important in daily life?
Answer:
Applied mathematics helps in decision-making, budgeting, forecasting, measuring, and
problem-solving in everyday activities such as finance, construction, transportation, and
technology.
Section 2: Algebra Applications
Question 4
Solve for x:
3x + 7 = 25
Answer:
, 3x = 25 − 7
3x = 18
x=6
Question 5
A company sells an item for $15 each. Write an expression for the total revenue if x items
are sold.
Answer:
Total revenue = 15x
Question 6
If the cost function is C = 200 + 5x, what does the constant 200 represent?
Answer:
The constant 200 represents fixed costs that do not change with the number of units
produced.
Section 3: Ratios, Percentages, and Profit
Question 7
A product is bought for $80 and sold for $100. Calculate the profit percentage.
Answer:
Profit = 100 − 80 = 20
Profit percentage = (20 ÷ 80) × 100 = 25%
Question 8
If 30% of a number is 90, find the number.
Answer:
Let the number be x
0.30x = 90
x = 300
Question 9
Section 1: Basic Applied Mathematics
Question 1
What is applied mathematics?
Answer:
Applied mathematics is the use of mathematical methods to solve real-world problems in
fields such as business, engineering, economics, science, and technology. It focuses on
practical applications rather than abstract theory.
Question 2
Differentiate between pure mathematics and applied mathematics.
Answer:
Pure mathematics focuses on theoretical concepts and abstract reasoning, while applied
mathematics uses mathematical tools to analyze and solve practical problems in real-life
situation
Question 3
Why is applied mathematics important in daily life?
Answer:
Applied mathematics helps in decision-making, budgeting, forecasting, measuring, and
problem-solving in everyday activities such as finance, construction, transportation, and
technology.
Section 2: Algebra Applications
Question 4
Solve for x:
3x + 7 = 25
Answer:
, 3x = 25 − 7
3x = 18
x=6
Question 5
A company sells an item for $15 each. Write an expression for the total revenue if x items
are sold.
Answer:
Total revenue = 15x
Question 6
If the cost function is C = 200 + 5x, what does the constant 200 represent?
Answer:
The constant 200 represents fixed costs that do not change with the number of units
produced.
Section 3: Ratios, Percentages, and Profit
Question 7
A product is bought for $80 and sold for $100. Calculate the profit percentage.
Answer:
Profit = 100 − 80 = 20
Profit percentage = (20 ÷ 80) × 100 = 25%
Question 8
If 30% of a number is 90, find the number.
Answer:
Let the number be x
0.30x = 90
x = 300
Question 9
