Arithmetic - math word problems

  1. Equation - inverse
    hyperbola_3 Solve for x: 7: x = 14: 1000
  2. Reminder and quotient
    prime_5 There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1,
  3. Vertices of a right triangle
    right_triangle_5 Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.
  4. Reminder and quotient
    prime_4 There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1.
  5. Milo lifted
    vaha2_3 Milo lifted 65 lb 6 times and Jeremy lifted 50 lb 9 times. Which one lifted the most weight?
  6. Divide 5
    ratios2 Divide 288 in the following ratio 3 : 4 : 5
  7. Caleb
    lemonade_1 Caleb is making lemonade for a party. He has 5 gallons of lemonade. He is putting 1/3 cubic inch of lemonade in a cup for each guest. How many guests are going to be at the party?
  8. Collection of stamps
    stamp_11 Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have?
  9. Melting point
    mercury-metal-Hg The melting point of mercury is -36°F and its boiling point is 672°F. What is the difference between the boiling point and the melting point?
  10. Two pipes
    roura_1 How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours longer and the second pipe 9 hours longer than both pipes open at the same time?
  11. One trapezium
    trapezium_5 One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area.
  12. 8 degrees
    teplomer_22 8 degrees Celsius it cools down by 9 degrees Celsius. What is the resultant temperature?
  13. Perfect cubes
    cubes3_7 Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?
  14. Gasoline price
    fuel_pump2_1 At 34.4 cents per liter, how much will 42 liters of gasoline cost?
  15. Noontime
    teplomer_21 In the morning temperature was 110°F. By noontime it has gone up by 15°F. What was the noon temperature. (Give your answer in °F)
  16. Infinite sum of areas
    height-of-equilateral-triangle Above the height of the equilateral triangle ABC is constructed an equilateral triangle A1, B1, C1, of the height of the equilateral triangle built A2, B2, C2, and so on. The procedure is repeated continuously. What is the total sum of the areas of all tr
  17. Pupils
    family_29 There are 32 pupils in the classroom, and girls are two-thirds more than boys. a) How many percents are more girls than boys? Round the result to a whole percentage. b) How many are boys in the class? c) Find the ratio of boys and girls in the class. W
  18. Volume of ball
    ball1_5 Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
  19. The volume 2
    cubes3_11 The volume of a cube is 27 cubic meters. Find the height of the cube.
  20. Math test
    test_13 Obelix filled a mathematical test in which he answered 25 questions. For every correct answer, he received 5 points, for each bad answer he had 3 points deducted. Obelix gained 36% of all points in the test. How many questions did he solve correctly?

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