Math problems

From our database of math problems we offer:

• Factory and divisions
  The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?
• Bits, bytes
  Calculate how many different numbers can be encoded in 16-bit binary word?
• Subway
  Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations?
• Ice and water
  We want to cover rectangular rink with dimensions of 55 m and 25 m with 4cm thick layer of ice. How many liters of water we need if after freezing water increases its volume by 10%?
• Copiers
  The new copier copying a folder of papers 5 min. faster than the old. The operator used new, but out of toner and exchange took 5 min. In that time copied on the old. The whole work has been done for 9 min. How long would the work done only by old copier?
• Interest
  What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2?
• Soaps
  Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma
• Copper plate
  Copper plate length 3.2 m and width 50 cm weighs 55.42 kg. What is the plate thick, if 1 m³ of copper weighs about 8700 kg?
• Gold coin
  Gold coin contains 964 promile pure gold, which is 7.16 g. What is the weight of coin in grams?
• School
  Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5 and 6 members team one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
• Percentages
  Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm² of 12.5 dm² c / 2dm2 of 400 cm² D / 0.2 liters from 2.2 liters
• Surface of cubes
  Peter molded a cuboid 2 cm, 4cm, 9cm of plasticine. Then the plasticine split into two parts in a ratio 1:8. From each part made a cube. In what ratio are the surfaces of these cubes?
• Profit gain
  If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
• Area of rectangle
  Calculate the area of rectangle in square meters whose sides have dimensions a = 80dm and b = 160dm.
• Mixed2improper
  Write the mixed number as an improper fraction. 166 2/3
• Rectangular trapezoid
  Calculate the content of a rectangular trapezoid with a right angle at the point A and if |AC| = 4 cm, |BC| = 3 cm and the diagonal AC is perpendicular to the side BC.
• One frame
  5 picture frames cost € 12 more than three frames. How much cost one frame?
• Diamond diagonals
  Calculate the diamond's diagonal lengths if its content is 156 cm² and the side length is 13 cm.
• Linear system
  Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720
• Numbers
  How many different 7 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3,4,5,6?