Math word problems

Mathematical word problems allow you to practice your mathematics knowledge in everyday life tasks. Word problems train to understand, translate into the mathematical language (e.g., equations), solve it, and check the accuracy and solution discussion.
Choose a topic you want to calculate and improve in.

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

  • Two grandmothers
    chicken 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
    triangles 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
    calculator Equation -2x2+bx -82 =0 has one root x1 = -8. Determine the coefficient b and the second root x2.
  • Glass
    sklo 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
    progression Sum of ten consecutive numbers is 105. Determine these numbers (write first and last).
  • Reciprocal equation 3
    reciprocal Solve reciprocal equation: 1/2 + 2/3=1/x
  • Ratio in trapezium
    lichobeznik 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
    venn_intersect 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
    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
    penize 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
    books 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
    komoly_jehlan 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
    sand 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
    bulb 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
    pizza Maria ate 1/4 of a pizza. If there were 20 slices of pizza, how many slices did Maria eat?
  • Two numbers
    plusminus 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
    roztoky How many liters of 70% solution we must add to 5 liters of 30% solution to give us a 60% solution?

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