Class 10 Maths

Use Euclid's division lemma and prime factorisation to find HCF and LCM, and tell a rational number from an irrational one.

Solve a pair of linear equations in two variables by substitution and elimination, and say how many solutions a pair has.

Solve quadratic equations by factorising, and use the discriminant to describe the roots.

Find the common difference, the nth term and the sum of an arithmetic progression.

Find the distance between two points, the point that divides a segment in a given ratio, and the area of a triangle from its vertices.

Use equal angles and side ratios in similar triangles, including the ratio of their areas.

Use the two tangent properties of a circle: a tangent meets the radius at a right angle, and the two tangents from an outside point are equal.

Find sine, cosine and tangent in a right-angled triangle and recall the standard angles.

Use angles of elevation and depression with the standard angles to find a height or a distance you cannot measure directly.

Find the arc length, area and perimeter of a sector, and the area of a segment.

Find the surface area and volume of a solid made by joining a cylinder, a cone or a hemisphere.

Find the mean, median and mode of grouped data, and read a cumulative frequency curve.

Work out the probability of a simple event and of it not happening.