JEE Main Mathematics Practice Set 1
Original JEE Main mathematics questions covering algebra, coordinate geometry, and functions.
JEE Main
Exam Pattern & Rules
Total Questions
90
Total Marks
300
Duration
3 hours
Marking
+4 correct, -1 incorrect, 0 unattempted
Negative Marking: Yes, in Section A and Section B
Note: Paper contains 90 questions (30 per subject), with 75 attempted as per the current exam attempt structure.
Practice Set Details
Questions
6
Estimated Time
18 minutes
JEE Main Mathematics Practice Set 1: all 6 questions with answers
Try each question first, then open “Show answer” to check the correct option and explanation.
Q1.What is the solution of the equation 2x − 5 = 9?
- A.2
- B.4
- C.7
- D.14
Show answer
Correct answer: C. 7
Add 5 to both sides and divide by 2: x = 7.
Q2.If the slope of a line is 3 and it passes through (1, 2), what is its equation?
- A.y = 3x + 1
- B.y = 3x - 1
- C.y = 2x + 3
- D.y = 3x + 2
Show answer
Correct answer: A. y = 3x + 1
Use y − 2 = 3(x − 1) to get y = 3x − 1? Wait, check: y = 3x - 1 + 2 = 3x + 1.
Q3.If x² = 49, what are the possible values of x?
- A.7 only
- B.−7 only
- C.7 or −7
- D.0
Show answer
Correct answer: C. 7 or −7
Both 7 and -7 satisfy x² = 49.
Q4.What is the derivative of f(x) = x²?
- A.2x
- B.x
- C.x²
- D.1
Show answer
Correct answer: A. 2x
The derivative of x² is 2x.
Q5.The pairs (2, 4) and (5, 10) lie on the same line through the origin. What is the slope of this line?
- A.2
- B.3
- C.4
- D.5
Show answer
Correct answer: A. 2
Slope = rise/run = 4/2 = 2 and also 10/5 = 2.
Q6.If a = 2 and b = 3, what is the value of a² + b²?
- A.5
- B.10
- C.13
- D.25
Show answer
Correct answer: C. 13
2² + 3² = 4 + 9 = 13.