Math word problems

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

• Two grandmothers
  Two grandmothers went to sell eggs at the market, and they had a total of 100. When they sold all the eggs, they made the same money. The first grandmother says to the second: "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmot
• Sides of triangle
  Triangle has circumference 42 cm. Side a is 2 times shorter than side b and sice c is 2 cm longer than side a. Determine the sizes of sides of a triangle.
• Equation
  Equation -2x²+bx -82 =0 has one root x₁ = -8. Determine the coefficient b and the second root x₂.
• Glass
  At the glass shop we have to cut 8 sheets of glass. Each was shaped a square with sides of 18 cm. We paid 44 CZK. How much is a 1 m² of glass?
• Consecutive numbers
  Sum of ten consecutive numbers is 105. Determine these numbers (write first and last).
• Reciprocal equation 3
  Solve reciprocal equation: 1/2 + 2/3=1/x
• Ratio in trapezium
  The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid
• Two sets
  Suppose Set B contains 69 elements and the total number elements in either Set A or Set B is 124. If the Sets A and B have 29 elements in common, how many elements are contained in set A?
• Scalar dot product
  Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is: a) 60° b) 45° c) 120°
• Contestants
  The three best contestants are to divide the total prize of CZK 4,200. The second gets 20% more than the third. And the first one gets 200 CZK less than the second and the third together. How much will everyone get?
• John Smith
  John Smith is reading a 435-page novel. If he reads the same number of pages per day and the number is a prime number greater than 10, how many pages per day will he read?
• Digging a pit
  The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Determine how many m³ of soil were excavated when digging the pit?
• Sand path
  How many m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high?
• Mains voltage
  How much electric current flows through the appliance with a resistance of 40kΩ, which is connected to the mains voltage (230 V)?
• Slices of pizza
  Maria ate 1/4 of a pizza. If there were 20 slices of pizza, how many slices did Maria eat?
• Two numbers
  The difference between the two numbers is 74. If we divide a larger number by a smaller one, we get a quotient 7 and the rest of 2. Determine both numbers.
• Solutions, mixtures
  How many liters of 70% solution we must add to 5 liters of 30% solution to give us a 60% solution?