Western Province Grade 10 Maths Term 3 Test 2022

Simple interest on a loan over two years

Factorise a difference of two squares

Shade a complement on a Venn diagram with nested sets

Unknown angle in an isosceles triangle

Area of a parallelogram from a diagonal and perpendicular

First approximation of a square root using given squares

Angle using an exterior angle and an isosceles triangle

Solve a quadratic equation in factorised form

Curved surface area of a cylinder

Solve an equation with the unknown in a denominator

Angle in a semicircle with an isosceles triangle

Identify continuous data from a list

Days for a task with more workers

Angle from sums of angle pairs in a triangle

Gradient of a line through two points

Mark angles of elevation and depression on a sketch

Convert a logarithm statement to index form

Angle at circumference from a reflex angle at the centre

Value of an expression from two equations without solving

Angle between bisectors of two triangle angles

Subtract algebraic fractions with unlike denominators

Probability of drawing a perfect-square card

Radius of a quarter-circle sector from arc length and perimeter

Circle angle using same-segment and isosceles triangle facts

Complete loci sketch: angle bisector and perpendicular bisector

Fractions of shared mangoes; find the total from a difference

Areas of a semicircle-and-rectangle region and remaining land

Perimeter of a composite region and fencing cost

Pie chart: counts from angles, ratios, and a changed sector

Rates percentage and annual income from income tax slabs

Venn diagram counts and probability of neither set

Events on a sample-space grid for two draws

Modal class and mean of grouped data; test a claim

Simple interest on a loan repaid in two parts; compare costs

Graph of a quadratic: positive range, solve equation, compare graphs

Scale diagram of a tower with elevation and wire; find height

Factorise by grouping and difference of squares

Form and solve simultaneous equations from a money problem

Form and solve a quadratic from square and rectangle areas

Arithmetic progression of wire lengths: term, position, sum

Construct triangle, circumcircle via bisectors; right angle in semicircle

Parallelogram properties; prove a quadrilateral inside is a parallelogram

Evaluate a product and quotient with logarithm tables

Cuboid melted into cylinders: derive a height formula

Congruent triangles show radius to chord midpoint is perpendicular

Prove an angle equality using chord midpoint and angle at centre

Tree diagram for two coins; probability of at least one head

Describe Venn regions in words and set notation; shade a region