Math word problems

From our database of math word problems and examples we offer:

• Completing square
  Solve the quadratic equation: m²=4m+20 using completing the square method
• Goat
  The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent
• Salary increase
  Ms. Merry's salary increased by 15%, and that was 83 euros. What should pay before the increase?
• Metal balls
  Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
• Water tanks
  A different amount of water is poured into each of the three identical vessels. In the first vessel, water fills 30% of its volume and in the second vessel 40% of its volume. The third container contains 19 liters of water. If we distributed the water fro
• Rectangular trapezium
  Calculate the perimeter of a rectangular trapezium when its content area is 576 cm² and sice a (base) is 30 cm, height 24 cm.
• Education for free
  The Slovakia circulates a lot of myths, particularly ideas about what must be free. For example - education should be free - children of poor parents should know at least read and write. Calculate how much a student would have to pay per hour of teaching,
• Four ropes
  TV transmitter is anchored at a height of 44 meters by four ropes. Each rope is attached at a distance of 55 meters from the heel of the TV transmitter. Calculate how many meters of rope were used in the construction of the transmitter. At each attachment
• Aircrafts
  James make the 21 paper aircrafts. It is 9 pieces more than make Matthew. How many paper aircrafts maked Matthew?
• Angle of the body diagonals
  Using vector dot product calculate the angle of the body diagonals of the cube.
• PIN - codes
  How many five-digit PIN - code can we create using the even numbers?
• Eq1
  Solve equation: 4(a-3)=3(2a-5)
• Pears
  There were pears in the basket, I took two-fifths of them, and left six in the basket. How many pears did I take?
• Find the mean
  Find the number between 13 and 29.
• Sphere - parts
  Calculate the area of a spherical cap, which is part of an area with base radius ρ = 9 cm and a height v = 3.1 cm.
• Thales
  Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm as shown. Calculate the depth of the hole.
• Distilled water
  Sea water contains 5% salt. How many distilled water should be pour to 40 kg of sea water so that the salt content is 2%. How many kilograms of 2% of sea water we get?