10 Questions
What is the sum of all angles in a triangle according to the text?
180°
Which criterion is used for determining triangle congruence based on the text?
SideAngleSide (SAS)
What is the relationship between alternate interior and alternate exterior angles according to the text?
They are equal in measure
Which term describes the total length of a circle's perimeter, as mentioned in the text?
Circumference
What does the Pythagorean Theorem state for a rightangled triangle in 3D geometry?
$a^2 = b^2 + c^2$
What is the correct way to simplify the fraction 18/24 to its simplest form?
Divide both numerator and denominator by 2
When adding or subtracting fractions, what is the crucial step to ensure before performing the operation?
Ensuring both fractions have a common denominator
In multiplying fractions, what should be done to the numerators and denominators?
Multiply the numerators, then multiply the denominators
What is the correct way to evaluate (1/2) * (3/4) + (1/8)?
Find a common denominator first
What is the primary rule to follow when solving mathematical expressions involving fractions?
Adhere to the PEMDAS rule
Study Notes
Class VII Final Exam Maths: Geometry and Fractions
As the exam date approaches, it's essential to focus on the critical areas of mathematics, such as geometry and fractions. This article aims to provide a comprehensive yet concise guide to these subjects, giving you practical tips and key concepts to excel in your final exams.
Geometry

Lines and Angles
 Parallel lines: They never intersect and form a constant angle between them.
 Alternate interior and alternate exterior angles: They are equal in measure.
 Vertically opposite angles: They are also equal in measure.

Triangles
 Scalene, isosceles, and equilateral triangles: Based on the properties of their sides.
 Triangle congruence: Based on the SideAngleSide (SAS), SideSideSide (SSS), or AngleAngleSide (AAS) criteria.
 Triangle Sum: The sum of all angles of a triangle is 180°.

Circles
 Radius, diameter, chord, and arc: Key terms related to a circle.
 Central angle: The angle formed by two radii of a circle.
 Arc length: The length of a portion of a circle's circumference.
 Circumference: The total length of a circle's perimeter (2πr).

3D Geometry
 Planes, prisms, pyramids, and cylinders: Basic solids in 3D geometry.
 Surface area and volume: Calculating the area and volume of 3D shapes.
 Pythagorean Theorem in 3D: The sum of the squares of the lengths of the sides of a rightangled triangle is equal to the square of the length of the hypotenuse (c² = a² + b²).
Fractions

Simplest Form
 Divide both the numerator and denominator by their greatest common divisor to simplify a fraction.
 Examples: 6/12 simplifies to 1/2, and 15/45 simplifies to 1/3.

Adding and Subtracting Fractions
 Ensure that the fractions have a common denominator before adding or subtracting.
 Example: 1/4 + 1/6 = (3/12) + (2/12) = 5/12

Multiplying Fractions
 Multiply the numerators together and multiply the denominators together.
 Example: (2/3) * (5/6) = (2 * 5) / (3 * 6) = 10/18 = 5/9

Dividing Fractions
 Multiply the first fraction by the reciprocal of the second fraction.
 Example: (2/5) / (3/4) = (2 * 4) / (5 * 3) = 8/15

Order of Operations
 Follow the PEMDAS rule (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) when solving mathematical expressions that involve fractions.
Practice Problems
 The perimeter of a triangle is 30 cm. If one angle measures 54°, what are the measures of the other two angles?
 What is the area of a circle with a radius of 4 cm?
 Simplify the fraction 9/27.
 Evaluate the expression (6/7) * (5/8) + (1/3).
 If a circle has a circumference of 18.84 cm, what is the length of the chord that is 1/2 of the circumference?
These topics and practice problems will help you prepare effectively for your Class VII final exam in Maths, focusing on geometry and fractions. Remember, practice makes perfect, so take the time to work through these problems and be confident on exam day. Good luck!
Prepare for your Class VII final exam in Maths by reviewing key concepts in geometry and fractions. Learn about lines, angles, triangles, circles, 3D geometry, simplest form of fractions, operations with fractions, and practice problems to test your understanding.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free