# Themes, topics - math word problems

#### Number of problems found: 1214

- Trapezoid - construction

Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45° - Two heights and a side

Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm and height to side b: vb = 4 cm. - Construct

Construct a rhombus ABCD, if the size of the diagonal AC is 6 cm and diagonal BD 8 cm long. - Outer contact of circles

Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S_{1}S_{2}S_{3}. - Regular octagon

Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S '): ABCDEFGH - A'B'C'D'E'F'G'H'. - The king

The king divided ducats to his sons. He gave the eldest son a certain number of ducats, gave the younger one ducat less, gave the other one ducat less, and proceeded to the youngest. Then he returned to his eldest son, gave him one ducat less than a while - Tractors

Fields go plow two tractors with various performances. The first tractor plows the whole field in 11 hours, the second tractor plows the whole field 19 hours longer. How long take plow the whole field with two tractors? - A rectangle 8

A rectangle measuring 6 cm and 4 cm is enlarged by the ratio 3:1. What is the area of the enlarged rectangle? - Flowerbed

Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together? - Two pumps

Pump A takes twice as long to fill a tank as B. Together they take 2 hours to fill the tank. How long does each one take to fill the tank by itself? - Work together

Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine the time that Dorota would do the work herself and the time that Michal would do it himself. - Draw a

Draw a triangle ABC, if you know: alpha = 60° side b = 4 cm side a = 10 cm - Square

Draw a square on the edge of a = 4 cm. Mark the center of symmetry S and all axes of symmetry. How many axes of symmetry does? Write down. - Electronics: Resistors in parallel

From relation for calculating the resistance of parallel combination of resistors: (1)/(R) = (1)/(R_{1}) + (1)/(R_{2}) Calculate the R, if R_{1}= 17Ω a R_{2}= 20Ω - Together 3

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? - Tanker

An oil tanker can be emptied by the first pump in 4.9 hours. The second pump can empty a tanker in 8 hours. If the first pump started at 4:00 and the second 1.4 hour later, at what time will the tanker be empty? - Compound Interest

If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the account? - Compound interest 4

3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent? - Rectangle

Draw a rectangle with the sides a = 4 cm, b = 5 cm. Mark the center of symmetry S and all axes of symmetry. How many axes of symmetry has? Write down. - Right triangle

Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.

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