# Latest word problems

Why does 1 3/4 + 2 9/10 equal 4.65? How do you solve this?
2. Sum of the digits
How many are two-digit natural numbers that have the sum of the digits 9?
Two wattmeters are connected to measuring power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) second reading is negative
4. Discount and prices
After a 29% discount, the new product price was € 426. What was the original price of the product?
5. Football field
The soccer field may have a width of 45 meters. This is 45 meters less than the length of the course. What can be the length of the football field?
6. Fruit candies
Zuzka and Janka ate fruit candies. Zuzka ate 10 and Janka ate 3 times more. How many sweets did both girls eat together?
7. The sum 4
The sum of Robin's age is 45. Seven years ago, Robin was 16 years more than one half as old as Bruno then. How old is Bruno?
8. Faces diagonals
If the diagonals of a cuboid are x, y, and z (wall diagonals or three faces) respectively than find the volume of a cuboid. Solve for x=1.3, y=1, z=1.2
9. 45th birthday
This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7.11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
10. Sale off
The TV went down 10% and then 10% off the original price again. Now it costs 300 €. What was its original price?
11. Kilowatt-hours
If the Lewis family used 648 kilowatt-hours of electricity in 12 days, how many kilowatts hours should they use in 24 days at the same rate of usage
12. Voltmeter range
We have a voltmeter which in the original set measures voltage to 10V. Calculate the size of the ballast resistor for this voltmeter, if we want to measure the voltage up to 50V. Voltmeter's internal resistance is 2 kiloohm/Volt.
13. Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult?
14. Car down
Sarah buys a car costing \$12,500. It depreciates in value by 8% in the first year, 10% the second year and 5% in the third year. Calculate the value of a car after the third year.
15. In center
What number lies in the center between a quarter of a fifth and a half of a third on the number axis?
16. The machine
The machine works 7 hours a day and produces 1 part in 5 minutes. How many parts will it produce in 1 hour? How many parts will it produce in 1 day?
17. Wall and body diagonals
Calculate the lengths of the wall and body diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m
18. Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area).
19. Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
20. Calculate
Calculate the square area if its perimeter is 14dm.

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