7th grade (12y) - math 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:

  • Divide an isosceles triangle
    rr_triangle3 How to divide an isosceles triangle into two parts with equal contents perpendicular to the axis of symmetry (into a trapezoid and a triangle)?
  • Quadratic equation
    kvadrat Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  • Vertices of a right triangle
    right_triangle Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.
  • Lathe
    soustruh From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
  • Controller
    std_dev Output Controller of the company in the control of 50 randomly selected products found that 37 of them had no defects, 8 has only one flaw, three had two defects, and two products had three defects. Determine the standard deviation and coefficient of vari
  • Holiday SMS
    sms Kucera and Malek start from the holiday together. They agreed that if they be 100 km apart, will send a SMS. Kucera traveling at 60 km/h., Malek 90 km/h. They started at 14 hours PM. At what time they send a message?
  • James 2
    seashell James collected 24 seashells on the seashore to be shared with his 2 friends. What fractional part of the seashells will each one get if it is distributed evenly? ​
  • Forces
    ijk In point O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3.
  • Evaluate fractions
    mixed_fractions The difference  of 5 1/2 and 2/3 is added to the product of 5/6 and 1/2
  • Students
    test Students solve word problems. They received 3 points for each correctly solved task. Four points were deducted for a task that was not solved or incorrectly solved. Tomas solved a total of 15 tasks and scored 24 points. How many tasks did he solve correct
  • Tiana
    mince Tiana is buying party favors for the guests at her 12th birthday party. Each party favor costs $2.39. If she buys 15 party favors, how much money does she spend?
  • Circle arc
    arc_cut Calculate the circular arc area in m2 where the diameter is 263 dm, and a central angle is 40°. Result round to three decimal places.
  • Normal distribution GPA
    normal_d The average GPA is 2.78 with a standard deviation of 4.5. What are students in the bottom the 20% having what GPA?
  • Homeless Dezider
    kos Homeless Dežko has 9 coins in jacket: Calculate the value of its assets and calculate how many bottles of wine for 0.55 EUR can he buy.
  • Simple equation
    eq Solve the following simple equation: 2. (4x + 3) = 2-5. (1-x)
  • English and math
    skola 1/5 of a class study English, and 3/5 study mathematics. If the class consist of 80 students, how many students study English and mathematics in the class?
  • Right triangle
    right_triangles Calculate the missing side b and interior angles, perimeter, and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.


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