3 grade
Triangles. Types of triangles.
This test classifies triangles by their sides and angles. Pupils 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 the topic and its solution methods. Choose a test for your grade and practise at your own pace.
Tests by topic
Tests for this topic
4 grade
Area of a right triangle
This test develops calculation of the area of a right triangle using the product of its perpendicular sides. Pupils identify the base and height, apply the formula, find missing dimensions and express answers in square units.
7 grade
Area of triangles, parallelograms and trapezoids
Dynamic tasks on finding areas, bases and heights of triangles, parallelograms and trapezoids.
8 grade
The Pythagorean theorem
Dynamic tasks on legs, hypotenuse, rectangle diagonals, coordinate distance and practical applications.
8 grade
Midlines of triangles and trapezoids
Dynamic tasks on triangle and trapezoid midlines, isosceles and equilateral triangles, and the 30° property.
8 grade
Pythagoras in solids
Dynamic tasks on space diagonals, cone slant height, pyramid apothem, sphere area and volume.
9 grade
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.
9 grade
Applications of trigonometry
Dynamic height, distance, slope, shadow and motion problems using trigonometric ratios.
10 grade
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.
10 grade
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.
10 grade
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.