Grade 10 Math

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

Decide when two triangles are congruent using SSS, SAS, ASA and RHS.

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

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

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 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.