Planimetrics - math word problems

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.

Number of problems found: 1947

  • Bicycle wheel
    wheel_2 Bicycle wheel diameter is 62 cm. How many times turns the bicycle on the road 1 km long?
  • Ladder slope
    rebrik33 What is the slope of a ladder 6.2 m long and 5.12 m in height.
  • A rectangle
    rectangle_12 A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
  • Trapezoid - central median
    lichobeznik-stredni_pricka The central median divides the trapezoid into two smaller trapezoids. Determines the ratio of their contents.
  • 4s pyramid
    pyramid_regular Regular tetrahedral pyramid has a base edge a=17 and collaterally edge length b=32. What is its height?
  • Altitude difference
    promile What a climb in per mille of the hill long 4 km and the altitude difference is 6 meters?
  • Lift
    lanovka_2 The largest angle at which the lift rises is 16°31'. Give climb angle in permille.
  • Bevel
    zkoseni I have bevel in the ratio 1:6. What is the angle and how do I calculate it?
  • The angles
    trojuholnik The angles in the triangle are in the ratio 12: 15: 9. Find the angles.
  • Rhombus angles
    rhombus2 If one angle in the rhombus is 159°, what is it neighboring angle in rhombus?
  • A pipe
    pipe1_1 A radius of a cylindrical pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
  • Squaring the Circle
    SquareCircle Calculating side of the square with the same area as the circle of radius 18.
  • Circle - simple
    kruh The circumference of a circle is 198 mm. How long in mm is its diameter?
  • Isosceles triangle
    math_fun_1 What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m.
  • Hexagon
    8uhelnik Divide a regular hexagon into lines into nine completely identical parts; none of them must be in a mirror image (individual parts can only be rotated arbitrarily).
  • Circle from string
    motuz Martin has a long 628 mm string . He makes circle from it. Calculate the radius of the circle.
  • QuizQ
    green_triangle_1 An isosceles triangle has two sides of length 7 km and 39 km. How long is a third side?
  • Count of triangles
    SquareTriangle Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
  • Pipeline
    pipeline How much percent has changed (reduced) area of pipe cross-section, if circular shape changed to square with same perimeter?
  • Clock hands
    clocks2_16 The second hand has a length of 1.5 cm. How long does the endpoint of this hand travel in one day?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...

See also more information on Wikipedia.