QR2 Important Question Answers For Mid
1. Relationship Between Variables (Correlation, Scatter Plot, Line of Best Fit)
MCQ 1
What does a positive correlation mean?
A) One variable increases while the other decreases
B) Both variables increase together
C) Variables are unrelated
D) Variables remain constant
Answer: B) Both variables increase together
MCQ 2
A scatter plot is used to:
A) Draw circles
B) Show relationship between two variables
C) Calculate area
D) Solve equations
Answer: B) Show relationship between two variables
MCQ 3
The line that best represents the trend of data points is called:
A) Tangent line
B) Vertical line
C) Line of best fit
D) Axis line
Answer: C) Line of best fit
Short Question
What is correlation?
Answer: Correlation is a measure that shows the strength and direction of the relationship between two variables.
2. Population Growth
MCQ 1
Population growth is usually modeled by:
A) Linear function
B) Exponential function
C) Constant function
D) Quadratic function
Answer: B) Exponential function
Question
A town has a population of 5,000 people. It grows by 10% each year. What will the population be after 1 year?
Solution:
Population = 5000 × 1.10
Population = 5500
Answer: 5,500 people
Question
A city has 20,000 people and grows by 5% per year. Find the population after 2 years.
Solution:
Population = 20000 × (1.05)²
Population = 20000 × 1.1025
Population = 22,050
Answer: 22,050 people
3. Word Problems to Equation and Solution
Question 1
A number increased by 7 equals 20. Find the number.
Equation:
x + 7 = 20
x = 20 − 7
x = 13
Answer: 13
Question 2
The sum of a number and 12 is 30.
Equation:
x + 12 = 30
x = 18
Answer: 18
Question 3
Five times a number is 45.
Equation:
5x = 45
x = 9
Answer: 9
4. Solve One Linear and One Quadratic Equation
Linear Equation
Question
Solve:
2x + 5 = 15
Solution:
2x = 10
x = 5
Answer: x = 5
Quadratic Equation
Question
Solve:
x² − 5x + 6 = 0
Factorize:
(x − 2)(x − 3) = 0
x = 2 or x = 3
Answer: x = 2, 3
Question
Solve:
x² − 9 = 0
Solution:
(x + 3)(x − 3) = 0
x = -3 or x = 3
Answer: x = -3, 3
5. Absolute Value
MCQ 1
What is |−8|?
A) −8
B) 8
C) 0
D) 16
Answer: B) 8
MCQ 2
What is |5|?
A) −5
B) 0
C) 5
D) 10
Answer: C) 5
Question
Find:
|−12| + |4|
Solution:
= 12 + 4
= 16
Answer: 16
Question
Solve:
|x| = 7
Solution:
x = 7 or x = -7
Answer: x = ±7
Important Exam Questions
- Explain positive, negative, and no correlation with examples.
- Draw a scatter plot and identify the line of best fit.
- Solve a population growth problem using percentages.
- Convert a word problem into an equation and solve it.
- Solve a linear equation.
- Solve a quadratic equation by factorization.
- Define absolute value and solve absolute value equations.
- Explain the difference between linear and quadratic equations.
These questions cover almost all the topics listed in your notebook and are good preparation for MCQs and short-answer exams.
