Math word problems

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

• Painters 4
  One painter will do the job for 12 days. After a 4 1/3 day he comes second to help him and complete work together for 8 days. How long would work the second painter himself?
• Common difference
  The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th terms is -72, find the common difference.
• Cargo load
  How many products weighing 12.5 kg can be loaded on a cargo car with a load of 1.5 t to load two-thirds?
• Top-open tank
  The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m³, the radii of the bases are 4 m and 3 m. Find the depth of the tank.
• Milk bill
  Mrs Tara buys 2 liters of milk daily. If 1 liter of milk cost $0.27. What will be her milk bill for 30 days.
• Water cylinder
  Zuzana poured 785 ml of water into a measuring cylinder with a base radius of 5 cm. The water in the cylinder reached a height of 2 cm from the upper edge of the cylinder. How tall is the cylinder? (π = 3.14)
• Diamond diagonals
  Calculate the diamond's diagonal lengths if its content is 156 cm² and the side length is 13 cm.
• Gym room
  There were a total of 78 shoes and caps in the gym locker room. How many students came to training today?
• Lunch
  Jane eats whole lunch for the 30 minutes. Which part of the lunch is eaten in 180 seconds?
• Prime factors
  Factor the number 6600 into the product of prime numbers.
• Trapezium zoom
  How many times increase area of trapezoid if all sides and altitude increase 5 times?
• Free time
  Anita had 2 1/4 hours of free time in the afternoon. She spent 2/3 of her free time playing sports and watched TV for 30 minutes. How much time did she have left to read the book? Express the result as fractions of hours and numbers in minutes.
• Three days way
  The tourist walked a quarter of the way on the first day, a third of the rest on the second day and 20 km on the last day. How many km did he cover in three days?
• Volume and body diagonal
  Calculate how much the volume and body diagonal of the cuboid decrease if we reduce each of its three edges a, b, c by 18%?
• Two rectangles 2
  A square of area 36 cm² is cut out to make two rectangles. A and B The area of area A to area B is 2 : 1 Find the dimensions of rectangles A and B.
• The bath
  The bath has water with a volume of 220 l and a temperature of 65°C. Determine the mass m₂ of water at 15°C to be poured so that the resulting temperature of the water in the bath is 40°C. We neglect the heat exchange between water and the environment. T
• Distance of lines
  Find the distance of lines AE, CG in cuboid ABCDEFGH, if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm