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Geometry

Angles, areas, similar triangles.

GeometryAngles★☆☆☆☆Easy+20 XP

A rectangle is 7 cm long and 5 cm wide. What is its perimeter in centimetres?

GeometryAngles★☆☆☆☆Easy+20 XP

What is the area of a rectangle that measures 12 by 9?

GeometryTriangles★☆☆☆☆Easy+20 XP

A triangle has base 10 and height 6. What is its area?

GeometryTriangles★☆☆☆☆Easy+20 XP

What is the volume of a cube with edge length 4?

GeometryAngles★☆☆☆☆Easy+20 XP

Two angles are complementary and one measures 37°. What is the other, in degrees?

GeometryCircles★★☆☆☆Medium+30 XP

A circle has radius 7. Using π ≈ 22/7, what is its circumference?

GeometryTriangles★☆☆☆☆Easy+20 XP

Two angles of a triangle measure 55° and 65°. What is the third angle, in degrees?

GeometryAngles★★☆☆☆Medium+30 XP

A parallelogram has base 14 and height 5. What is its area?

GeometryTriangles★★☆☆☆Medium+30 XP

A right triangle has legs 5 and 12. How long is the hypotenuse?

GeometryAngles★★☆☆☆Medium+30 XP

A trapezoid has parallel sides 6 and 10 and height 4. What is its area?

GeometryAngles★★☆☆☆Medium+30 XP

What is the sum of the interior angles of a hexagon, in degrees?

GeometryCoordinate geometry★★☆☆☆Medium+30 XP

What is the distance between the points (1, 2) and (4, 6)?

GeometryCoordinate geometry★★☆☆☆Medium+30 XP

What is the midpoint of the segment joining (−3, 7) and (5, 1)? Answer as (x,y).

GeometrySimilarity★★★☆☆Hard+40 XP

Two similar triangles have sides in ratio 3 : 5. The smaller has area 18. What is the area of the larger?

GeometryCircles★★☆☆☆Medium+30 XP

The area of a circle of radius 6 equals kπ. What is k?

GeometryCircles★★★☆☆Hard+40 XP

An inscribed angle subtends an arc of 100°. What is the measure of the inscribed angle, in degrees?

GeometryTriangles★★★☆☆Hard+40 XP

An equilateral triangle with side 6 has area k√3. What is k?

GeometryAngles★★★☆☆Hard+40 XP

A regular polygon has exterior angles of 24°. How many sides does it have?

GeometryCoordinate geometry★★☆☆☆Medium+30 XP

What is the slope of the line through (2, 3) and (6, 11)?

GeometryTriangles★★★☆☆Hard+40 XP

In a 30-60-90 triangle the hypotenuse is 10. How long is the shorter leg?

GeometryCircles★★★☆☆Hard+40 XP

The volume of a sphere of radius 3 equals kπ. What is k?

Premium problem

A triangle has sides 13, 14, 15. What is its area?

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GeometryCircles★★★☆☆Hard+40 XP

A circle of radius 6 is inscribed in a square. Using π ≈ 3.14, what is the area inside the square but outside the circle, to the nearest whole number?

Premium problem

In triangle ABC, D lies on AB with AD:DB = 1:3 and E lies on AC with AE:EC = 1:2. What fraction of the area of ABC is the area of ADE?

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