# Arithmetic - math word problems

1. Equation - inverse Solve for x: 7: x = 14: 1000
2. Reminder and quotient 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 Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.
4. Reminder and quotient 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 Milo lifted 65 lb 6 times and Jeremy lifted 50 lb 9 times. Which one lifted the most weight?
6. Divide 5 Divide 288 in the following ratio 3 : 4 : 5
7. Caleb 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 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 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 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 One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area.
12. 8 degrees 8 degrees Celsius it cools down by 9 degrees Celsius. What is the resultant temperature?
13. Perfect cubes 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 At 34.4 cents per liter, how much will 42 liters of gasoline cost?
15. Noontime 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 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 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 Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
19. The volume 2 The volume of a cube is 27 cubic meters. Find the height of the cube.
20. Math test 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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