Grade 3
Types of Triangles
This test classifies triangles by their sides and angles. Students identify equilateral, isosceles and scalene triangles, distinguish acute, right and obtuse triangles and apply their defining properties.
Tests by topic
Triangles
These tests help build a secure understanding of each topic and its solution methods. Choose a test for your school level and work at your own pace.
Tests by topic
Tests for this topic
Grade 4
Area of a right triangle
This test develops calculation of the area of a right triangle using the product of its perpendicular sides. Students identify the base and height, apply the formula, find missing dimensions and express answers in square units.
Grade 7
Area of triangles, parallelograms and trapezoids
Dynamic tasks on finding areas, bases and heights of triangles, parallelograms and trapezoids.
Grade 8
The Pythagorean theorem
Dynamic tasks on legs, hypotenuse, rectangle diagonals, coordinate distance and practical applications.
Grade 8
Midlines of triangles and trapezoids
Dynamic tasks on triangle and trapezoid midlines, isosceles and equilateral triangles, and the 30° property.
Grade 8
Pythagoras in solids
Dynamic tasks on space diagonals, cone slant height, pyramid apothem, sphere area and volume.
Grade 9
Sine, cosine and tangent
This test applies sine, cosine and tangent in right triangles. Tasks teach students to select the correct trigonometric ratio, find an unknown side or angle and use fundamental identities.
Grade 9
Applications of trigonometry
Dynamic height, distance, slope, shadow and motion problems using trigonometric ratios.
Grade 10
Similar figures
This test applies the properties of similar figures and the scale factor. Tasks involve corresponding sides, perimeters and areas and develop understanding that areas change by the square of the scale factor.
Grade 10
Triangle lines and circles
This test develops understanding of key triangle lines, including angle bisectors, medians and altitudes. It also covers incircles and circumcircles, their centres and related length calculations.
Grade 10
Sine and cosine laws
This test applies the sine rule, cosine rule and the trigonometric formula for triangle area. Students select a suitable rule from the given information, calculate sides or angles and assess whether a solution is geometrically valid.