A rectangle is 7 cm long and 5 cm wide. What is its perimeter in centimetres?
Geometry
Angles, areas, similar triangles.
What is the area of a rectangle that measures 12 by 9?
A triangle has base 10 and height 6. What is its area?
What is the volume of a cube with edge length 4?
Two angles are complementary and one measures 37°. What is the other, in degrees?
A circle has radius 7. Using π ≈ 22/7, what is its circumference?
Two angles of a triangle measure 55° and 65°. What is the third angle, in degrees?
A parallelogram has base 14 and height 5. What is its area?
A right triangle has legs 5 and 12. How long is the hypotenuse?
A trapezoid has parallel sides 6 and 10 and height 4. What is its area?
What is the sum of the interior angles of a hexagon, in degrees?
What is the distance between the points (1, 2) and (4, 6)?
What is the midpoint of the segment joining (−3, 7) and (5, 1)? Answer as (x,y).
Two similar triangles have sides in ratio 3 : 5. The smaller has area 18. What is the area of the larger?
The area of a circle of radius 6 equals kπ. What is k?
An inscribed angle subtends an arc of 100°. What is the measure of the inscribed angle, in degrees?
An equilateral triangle with side 6 has area k√3. What is k?
A regular polygon has exterior angles of 24°. How many sides does it have?
What is the slope of the line through (2, 3) and (6, 11)?
In a 30-60-90 triangle the hypotenuse is 10. How long is the shorter leg?
The volume of a sphere of radius 3 equals kπ. What is k?
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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