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Class 10 · Science · Chapter 1

Describe what you observe when a zinc strip is dipped in copper sulphate solution, and explain why it happens.

Class 10 · Maths · Chapter 3

By comparing ratios of coefficients, decide whether the pair 3x + 2y = 5 and 6x + 4y = 9 has a solution.

Class 10 · Maths · Chapter 2

The graph of a quadratic polynomial cuts the x-axis at two distinct points. How many zeroes does it have, and why?

Class 9 · Maths · Chapter 4

Find three solutions of x + 2y = 6 that you could use to draw its graph.

Class 10 · Maths · Chapter 4

Represent the situation: the product of two consecutive positive integers is 306.

Class 10 · Maths · Chapter 4

The product of two consecutive positive integers is 306. Form and solve the equation.

Class 10 · Science · Chapter 1

What is rancidity and how can it be prevented?

Class 10 · Maths · Chapter 3

The sum of two numbers is 20 and their difference is 6. Form the equations and find the numbers.

Class 10 · Maths · Chapter 2

Form a quadratic polynomial whose zeroes are 3 and −2.

Class 9 · Maths · Chapter 4

What does the graph of a linear equation in two variables always look like, and how many solutions does it have?

Class 10 · Science · Chapter 1

A chemical equation must be balanced because matter cannot be created or destroyed — the number of atoms of each element must be the same o…

Class 10 · Maths · Chapter 3

A pair of linear equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 can be solved graphically or algebraically. Graphically, the two lines…

Class 10 · Maths · Chapter 2

The zeroes of a polynomial are the x-values where its graph meets the x-axis. A quadratic polynomial has at most 2 zeroes and a cubic has a…

Class 9 · Maths · Chapter 4

A linear equation in two variables has the standard form ax + by + c = 0 where a and b are not both zero. A solution is an ordered pair (x,…

Class 9 · Maths · Chapter 2

A polynomial in x is an expression of the form a₀ + a₁x + a₂x² + … where the powers of x are whole numbers. The highest power is the degree…

Class 10 · Science · Chapter 1

Combination: A + B → AB Decomposition: AB → A + B Displacement: A + BC → AC + B Double displacement: AB + CD → AD + CB Oxidation: gain of o…

Class 10 · Maths · Chapter 3

General pair: a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 Unique solution (intersecting lines): a₁/a₂ ≠ b₁/b₂ No solution (parallel lines): a…

Class 10 · Maths · Chapter 2

Quadratic ax² + bx + c (zeroes α, β): α + β = −b/a αβ = c/a Quadratic with given zeroes: x² − (α + β)x + αβ Cubic ax³ + bx² + cx + d (zeroe…

Class 9 · Maths · Chapter 4

Standard form: ax + by + c = 0, a and b not both zero Solution: ordered pair (x, y) satisfying the equation Number of solutions: infinitely…

Class 10 · Maths · Chapter 4

Standard form: ax² + bx + c = 0 (a ≠ 0) Quadratic formula: x = (−b ± √(b² − 4ac)) / 2a Discriminant: D = b² − 4ac Sum of roots: −b/a Produc…