AISSEE 2025 Maths Practice

Overview of the Session

• The session is designed for students aiming for the All India Sainik School Entrance Exam 2025
• The goal is to enable students to potentially achieve a perfect Maths score of 150/150
• There are 50 practice questions, mirroring the difficulty of the questions expected on the exam date of April 5th
• Sharing and liking the class is encouraged

Upcoming Batches and Courses

• Jai Hind Batch 2.0: Designed for students currently in the 4th or 5th grade and preparing for the 2026 exam; the batch starts on June 1st, 2025
• Another batch starts on February 10th, with registration closing then, for ₹99 until April 5; it covers Maths, English, and Reasoning chapter-wise

Mock Test Series:

• The Paramveer Mock Test Series can be acquired by contacting a provided phone number

Question 1: Average Age

• 50 students have an average age of 20 years
• Total sum of ages of these students is 1000 years
• 20 more students are admitted
• The average age increases by 4 years to 24 years
• The total number of students is now 70
• The total sum of ages of all students is 1680 years
• The sum of ages of the 20 new students is 1680 - 1000 = 680
• The average age of the new students is 680 / 20 = 34 years

Question 2: Cost Price and Selling Price

• Cost price (CP) is ₹560 and the selling price (SP) is ₹630
• A profit is made because SP is greater than CP
• Profit amount is SP - CP = ₹70
• Loss Percentage is equal to 10%.

Question 3: Train and Bridge

• A train of length 180 meters is crossing a bridge of length 220 meters
• Total distance to be covered is 180 + 220 = 400 meters
• The speed of the train is 72 km/hour
• The train speed converted to meters per second is: 72 * (5/18) = 20 m/s
• The time to cross the bridge is: Time = Distance / Speed = 400 / 20 = 20 seconds

Question 4: City Population

• A city has a population of 3 lakh (300,000)
• 30% of the population is male, and 20% is female
• Children make up the remaining percentage
• Children make up 50% of the city's population: 100 - 30 - 20 = 50%
• The number of children is 50% of 3 lakh: (50/100) * 300,000 = 150,000

Question 5: Ratio of Numbers

• Two numbers have a ratio of 2:5; they can be represented as 2x and 5x
• The difference between the numbers is 216: 5x - 2x = 216
• x then equals 72
• The larger number is 5x = 5 * 72 = 360

Question 6: Straight Line Angle

• Given angles of 70 degrees and 2x degrees are on a straight line
• Angles on a straight line sum to 180 degrees
• 70 + 2x = 180
• 2x = 110 degrees; x = 55 degrees

Question 7: Division

• To evaluate the expression: 1800 / 20 * 6 + 12
• 1800 / 20 = 90
• 90 * 6 = 540
• 540 + 12 = 552

Question 8: Rectangle Length and Breadth

• The length is one more than the breadth
• Breadth is represented as x
• Length is x + 1
• Perimeter gives: x = 3
• Length is therefore 4 and the width is 3
• Area is therefore 12 m^2

Question 9: Cost of Coconuts

• 349 coconuts cost ₹2181.25
• A total of 26 dozen coconuts are to be purchased

Question 10: Acute Angle in Triangle

• A triangle can have a maximum of 3 acute angles

Question 11: Sum of Angles

• The sum of the angles is equal to 180
• 10x = 180
• x =18

Question 12: Ratio of Complementary Angles

• An angle x has a complementary angle of 90 - x; together summing to 90
• Its suplementary angle will be 180 - x; together summing to 180
• A ratio is created with 1/4
• It's then used to calculate x = 60

Question 13: Number Division

• Divisor 25, dividend 132, divisor 7
• The remainder is equal to 7

Question 14: Fractions

• Given 4/5 of a number and half of the total number needs to be determined
• The total is determiend by: x = 80
• Half of the total is equal to 40

Question 15: LCM

• The second Number is equal to 330

Question 16: Area Diagram

• The outside perimeter is multiplied to create: 216
• That value is combined with the inner dimensions to find x
• The value of x is finally subtracted, resulting in a value equal to 90

Question 17: Square Calculation

• There are five squares included in this pattern, and area is calculated by: x= 45

Question 18: Side Calculation

• The unit digit will equal six in a number raised to the power of three
• All the formulas should be understood and which to use
• Since it's a power of three, the area is: 216

Question 19: Square Dimension

• Square fencing that shows 4 dimensional sides with an area of 840

Question 20: Area Sides

• A formula is used to check areas; in this case, the value is: 56

Question 21: Homework

• Solve for the answer outside the class

Question 22: Area Color

• The sides of this square all have the same unit digit, in this case x

Question 23: Sum of Numbers

The value of 18 can represent the sum or difference

Question 24: Motor Car Calculation

• Subtraction and formulas are used to determine if the answer is correct

Question 25: Diameter

• Identify the shape and sides, and use two points to define

Question 26: Prime Numbers

• List of prime numbers between 20 and 30

Question 27: Ratio Problem

• Simplify to get the smallest form

Question 28: Square Footage

• Formula, and value equal to square footage

Question 29: Formula

• Calculate and input formula to solve

Question 30: Predecessors

• Identify smaller numbers

Question 31: Area

• Find the parts, assemble them, and find missing sides

Question 32: Triangle Dimensions

• List angles, side lengths, total perimeter

Question 33: Prime or Equal

• Identify which number on the list equals 25