
Identify the maximum number of columns for two groups to march by computing their highest common factor, demonstrated with six-month contingents.
Learn how any natural number ending in zero has 2 and 5 in its prime factorization. See how prime factorization explains why multiples of ten end with zero.
Explore solving a quadratic from exercise 2.3 question 2, following step-by-step manipulations to reach the solution and identify the roots.
Identify whether a pair of linear equations intersect, are coincident, or are parallel. Determine if their solution is unique, infinite, or none, using ratios and line representations.
solve a linear equation in two variables from exercise 3.1 question 2, using x and y and expressions like 3x+6y, with step-by-step reasoning and final answers.
Analyze age-based algebra challenges, including three times the age five years ago, seven times a relative age, and solving for x, y, z with x minus five.
Solves a two-digit number puzzle with digits x and y, where the sum of digits is 9, and uses equations involving nine times the number to find x and y.
Explore ex 3.4 question 2.4 by counting notes in denominations A B C D G B C and determining the X number through division, leading to the solution.
Explore relative motion with cars moving in same and opposite directions, calculating distances and meeting points from given time intervals such as one and five hours.
We solve a pair of linear equations to compare train and bus travel times using distance, speed, and time relationships.
Ex 4.2 question 5 guides you through solving algebraic expressions with variables x, y, and z, including x minus 60 and siteswap 9 9 9, to illustrate problem-solving techniques.
Master completing the square to solve a quadratic, using two methods—explicitly forming the square and completing it without writing it—to find the roots in ex 4.3 q1.
Solve a word problem on math and English marks by setting math as x and English as D minus X, using the total and a 210 product to find x.
Solve a quadratic from ex 4.3 question 6 by factoring and using the quadratic formula, identify potential roots and feasible x values.
Tackle a square-number problem by applying the plus minus method to solve for x, discard negative results, and confirm 144 as a valid solution.
Solve a quadratic derived from a square area, evaluate the discriminant, and determine feasible x values and potential solutions for the square's sides.
Explore solving a quadratic from exercise 4.4 question 2 by setting the discriminant b^2 - 4ac to zero, then find the repeated root and identify x-values.
Explore solving exercise 4.4 question 5, tackling expressions with negatives, squares, and linear terms, and interpreting results like zero and distance values.
This lecture explains arithmetic progressions by showing how each term increases by a fixed difference, such as adding two to the previous term, and analyzes finite and infinite sequences.
Explore progression concepts, identify the first member, and analyze how terms relate to the given conditions in ex 5.1 question 1.
Explore solving ex 5.1 question 4 by manipulating negative numbers and linear expressions to determine x, y, and z, while applying arithmetic rules and common differences.
Explore exercise 5.2, question 5, by analyzing lists to count even numbers and understand negative values through step-by-step problem solving.
Explore Ex 5.2 question 7 in math class, solving negative value expressions and interpreting results such as negative 13 and negative 32, with a brief discussion of the means.
This lecture unpacks ex 5.2 question 9, guiding students to determine which expressions equal zero by evaluating negative values and zero sums in a 10th grade math context.
Explore ex 5.2 question 10 within the math class 10th full course, presented as a solved question video that clarifies number relationships such as 17 and 90.
Solve ex 5.2 question 11 by tracing numeric patterns in the given problem, confirming results such as 771 and the relation to 64 and 65.
Analyze three-digit numbers, determine the smallest and largest three-digit values, and explore divisibility by 7 using examples like 994.
Analyze ex 5.2 question 16 from a 10th grade math course, focusing on progressions, percent relationships, and parsing numeric statements like sixty and sixty-eight.
Tackles ex 5.2 question 18 by evaluating and simplifying algebraic expressions, exploring sums and differences, including negative results like 24 minus 50.
Solve exercise 5.2, question 20 in the math class 10th full course, analyzing given numbers and relationships to reach a solution.
Solve ex 5.3 question 2 by analyzing numbers and arithmetic operations to determine the correct result. This 10th grade math lesson emphasizes number-based reasoning from the caption.
Explore exercise 5.3 question 6 from the 10th grade math course, with the video caption outlining the problem's arithmetic steps and essential numbers.
Explore ex 5.3 problem 11 by identifying sequence terms, the second term, and sums of squares with negative values to determine which results are negative.
Explore ex 5.3 question 16 in a 10th grade math course, solving a word problem with a total volume of 700, using variables x, y, z and linear expressions.
Analyze ex 5.3 question 19 by examining a stack of blocks arranged in decreasing rows from 20 down to the last row and summing the total blocks.
Learn how triangles are similar by preserving angles and proportional sides, with practical examples showing how scaling affects triangles and quadrilaterals and how to identify similarity.
Apply similarity theorem 6.1 to triangles formed by parallel lines, using base and height to establish equal areas and derive triangle area relationships.
Solve exercise 6.2, question 5 from the 10th grade math course, presenting a clear, concise solved approach to understand the concept and practice with 416 videos.
Explore solving ex 6.3 question 6 on triangle similarity, using a right triangle and side relationships such as AB, BC, and AC.
Explains how to apply similarity criteria to triangles, uses 90-degree angle relations, and derives corresponding angle equalities to relate sides such as ab, bc, and cd.
Explore geometric relationships in exercise 6.3 question 8, examining equalities among segments AB, BC, CD and related angle configurations in figures labeled A, B, C, D.
Apply triangle similarity and angle chasing to solve ex 6.3 problem 10, establishing correspondences among triangles such as ABC and DCB.
Examine triangle congruence proofs using labeled points abc, ebc, des, and des, proving equal sides and equal angles to deduce relationships in geometric configurations.
this lecture explains similarity theorem 6.7, showing triangles formed on the sides of triangle abc are similar to the whole by angle-angle correspondences.
In exercise 6.5 question 1, the lecture applies the pythagorean theorem to test if a triangle is right by checking whether the hypotenuse squared equals sum of the other squares.
Identify the straight-line distance in a right-angled figure with points a, b, c within a square, and determine a distance of six metres.
Solves ex 6.5 question 13 by showing how to relate triangle side lengths using square relationships in triangles ABC and DBC and derive sums of squares.
Analyze ex 6.5 problem 16 by examining triangle ABC and square expressions like a^2, b^2, and c^2 to determine when the equal sign holds.
Explore three-dimensional vectors by using coordinates x, y, z from the origin and applying standard basis. Add vectors component-wise to understand their geometry and representation.
Solve exercise 7.1 question 5 by analyzing a square and its labeled points A, B, C, D, and evaluating related algebraic expressions involving x, y, and z.
Explore the section formula for a line segment defined by two points (x1, y1) and (x2, y2), and determine the division point on the line.
Solve algebraic equations with variables x and y, understand how left and right side expressions relate, and determine feasible solutions in ex 7.2 question 6.
Explore solving ex 7.2 question 9 by analyzing a line segment divided into four equal parts, determining coordinates and using x, y, z values to locate key points.
This lecture walks through exercise 8.1 question 1 by examining the two points B and C and interpreting a sign to determine their geometric relationship.
Analyze exercise 8.2 question 2.2 from a 10th grade math course, studying cases with A, B, and C and evaluating zero and C squared to find the correct value.
Solve ex 8.3 question 2, highlighting a simple two plus one step and time and angle reasoning, including 90 minutes to 60 seconds and ninety minus thirty degrees and signs.
Explores two trigonometric identities, derives relationships by dividing both sides by squares, and discusses domain conditions at zero and ninety degrees to identify where expressions are defined.
Apply plus and minus signs to integers to determine sums and differences. Tackle ex 8.4 question 4.1 from the tenth grade math course, reinforcing sign rules and problem-solving steps.
Explore ex 9.1 question 2 to determine the age of a tree from its height and the distance between the tree and the place you sit.
Solve a geometry exercise 9.1 question 4 to determine BC using given distances of 20 meters and a height of 10, with points B and C involved.
Solve ex 9.1 question 8 from a 10th grade math full course, featuring a geometry setup with 60 degrees and the value 1.6.
Tackle geometry basics in ex 10.1, questions 1 to 4, by analyzing lines, centers, and 90-degree relationships, and identifying the hypotenuse to understand spatial layout.
Apply a geometric theorem to relate points, the origin, and the line to the origin, clarifying AB and angles such as 360 minus 2 degrees.
Develop problem-solving techniques for ex 10.2 q5 by using perpendicular lines, right angles, and the perpendicular bisector to show equal distances from triangle endpoints and identify the center.
Analyze ex 10.2 question 7, comparing three values to find the smallest, second smallest, and largest, then evaluate the expression three square twenty five minus sixty nine.
This course covers the following topics through 415 videos:
Real Numbers + Practice Test
Polynomials + Practice Test
Quadratic Equations + Practice Quiz
Linear Equations in two Variables
Arithmetic Progressions
Triangles
Coordinate Geometry + Practice Quiz
Trigonometry
Trigonometry Applications
Circles
Area related to Circles
Surface Areas and Volumes
Statistics
Probability
In each the chapters you will get concept explaining videos and then questions solving videos with detailed explanations. Key here is if you know how to solve the question, then solve on your own and just tally the answer, however if you do not know the solution then see the full video to understand the solution.