IB Class 10 Mathematics Group 5 Calculus by Pavan | Practice Test to Test Your Knowledge
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  3. IB Class 10 Mathematics Group 5 Calculus
IB Class 10 Mathematics Group 5 Calculus

IB Class 10 Mathematics Group 5 Calculus

Comprehensive mock test on mathematical reasoning, problem-solving, and statistical analysis. Features both standard and extended level concepts with real-world mathematical applications.

2025-07-21
Pavan Pavan
IB Class 10 Mathematics Grade 10

Duration

30 min

Questions

30

Marking

Negative

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Questions Preview

What is the value of the limit of the function f(x) = x² + 3 as x approaches 2?

A
7
B
5
C
9
D
4

Which of the following is the definition of a limit?

A
The value a function approaches as the input approaches a certain point
B
The point where a function crosses the x-axis
C
The highest value of a function
D
The lowest value of a function

What is the limit of the function f(x) = 2x + 1 as x approaches 3?

A
7
B
5
C
6
D
8

What is the value of the limit lim (x² - 4) / (x - 2) as x approaches 2?

A
4
B
2
C
1
D
0

In which of the following cases does the limit of a function not exist?

A
When the left-hand limit is different from the right-hand limit
B
When the function approaches infinity
C
When the function oscillates infinitely near a point
D
All of the above

What is the value of the limit lim (x² - 4x + 3) as x approaches 1?

A
0
B
1
C
-1
D
2

What is the graphical representation of the limit lim (x² + 3) as x approaches 2?

A
A point on the graph
B
A vertical line
C
A horizontal line
D
A curve approaching a point

For the equation x² + 2x + 1 = 0, the limit of f(x) as x approaches -1 is:

A
0
B
1
C
-1
D
Infinity

What is the solution to the limit lim (x² - 9) / (x - 3) as x approaches 3?

A
6
B
3
C
2
D
9

Which of the following represents an indeterminate form?

A
0/0
B
1/0
C
∞/∞
D
All of the above

What is the value of the limit lim (x² - 2x + 1) as x approaches 1?

A
0
B
1
C
2
D
-1

In the equation 𝑓(𝑥) = (𝑥² − 4) / (𝑥 − 2), as x approaches 2, what happens?

A
The limit exists and equals 4
B
The limit does not exist
C
The limit is infinite
D
The limit equals 0

Which of the following equations demonstrates a one-sided limit?

A
lim 𝑓(𝑥) as x approaches 3 from the left
B
lim 𝑓(𝑥) as x approaches 3 from both sides
C
lim 𝑓(𝑥) as x approaches infinity
D
lim 𝑓(𝑥) as x approaches 0

What is the limit of the function 𝑓(𝑥) = (𝑥 + 1) / (𝑥 - 1) as x approaches 1?

A
∞
B
−∞
C
0
D
The limit does not exist

What is the value of the limit lim (1/x) as x approaches 0 from the positive side?

A
∞
B
−∞
C
0
D
The limit does not exist

What is the limit of the function f(x) = x² - 4 as x approaches 2?

A
4
B
2
C
0
D
1

What is the limit of f(x) = 1/x as x approaches 0 from the negative side?

A
-∞
B
∞
C
0
D
The limit does not exist

If the limit lim (x → 0) (sin(x) / x) = 1, what is the value of the limit?

A
1
B
0
C
∞
D
Undefined

What is the limit of f(x) = (x - 1) / (x² - 1) as x approaches 1?

A
∞
B
1
C
0
D
The limit does not exist

What is the limit of f(x) = 1 / (x - 3) as x approaches 3?

A
∞
B
−∞
C
0
D
The limit does not exist

What happens when a function approaches infinity as x approaches a certain value?

A
The limit is infinite
B
The limit does not exist
C
The limit is zero
D
The limit approaches a finite value

If lim (x → 2) (x² - 4) / (x - 2) = 4, what does this suggest about the function?

A
The limit is 4
B
The limit does not exist
C
The function has an asymptote at x = 2
D
The function equals 0 at x = 2

What is the limit of f(x) = 1/x² as x approaches 0?

A
∞
B
0
C
-∞
D
The limit does not exist

Which of the following is the correct interpretation of a one-sided limit?

A
The limit is considered from either the left or right side of a point
B
The limit is only from the right side of a point
C
The limit is considered from both sides of a point
D
One-sided limits are not important

Which of the following limits does not exist?

A
lim (x → 0) (1/x)
B
lim (x → 0) (x²)
C
lim (x → ∞) (1/x)
D
lim (x → 0) (x + 2)

What is the value of the limit lim (x → 0) (sin(x)/x)?

A
1
B
0
C
∞
D
-∞

When does the limit of a function not exist?

A
When the left-hand limit and right-hand limit are different
B
When the function approaches infinity
C
When the function oscillates infinitely near the point
D
All of the above

Which method can be used to calculate a limit for a function f(x) = x² - 4 at x = 2?

A
Substitution
B
Graphical Method
C
Both A and B
D
Elimination

For the function f(x) = 1/x², what happens as x approaches 0?

A
The limit is infinite
B
The limit approaches zero
C
The limit does not exist
D
The limit is undefined

What is the value of lim (x → 2) (x² - 4x + 4)?

A
0
B
4
C
8
D
2