Class 9 Maths

Tell a rational number from an irrational one, and place any real number on the number line.

Simplify, add and multiply surds, use fractional powers, and clear a surd out of a denominator.

Find the degree of a polynomial, evaluate it at a value and recognise its zeroes.

Find solutions of an equation like 2x + y = 7 and read its graph as a straight line.

Read and plot points on the coordinate plane and name the quadrant they lie in.

Tell an axiom from a postulate, and use Euclid's first assumptions to justify a step.

Use the linear-pair axiom to prove vertically opposite angles equal, and apply the angle-sum and exterior-angle theorems.

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

Use the properties of a parallelogram and the mid-point theorem.

Use the fact that figures on the same base and between the same parallels have equal areas.

Use the chord, arc and cyclic-quadrilateral facts to find angles and lengths in a circle.

Explain what each compass step guarantees, and decide when a triangle can be constructed at all.

Find the area of a triangle from its three sides, without knowing its height.

Find surface areas and volumes of cones, spheres and hemispheres.

Find the mean, median, mode and range of a small set of numbers.

Work out the empirical probability of an event from the results a trial actually gave.