# Latest word problems

1. Bisectors As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6. Find the perimeter of triangle △ BDE.
2. The product The product of a number plus that number and its inverse is two and one-half. What is the inverse of this number
3. A cold front At 1:00 PM, the temperature was at 46 degrees. Then, a cold front moved in and decreased the temperature 12 degrees per hour. The temperature at 6:00 PM = _____ degrees.
4. Surface area of a cube What is the surface area of a cube that has an edge of 3.5?
5. Perimeter of the circle Calculate the perimeter of the circle in dm, whose radius equals the side of the square containing 0.49 dm2?
6. Pool How many hl of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m2?
7. Scholarship The annual scholarship of the best student and second-best student in the class is 3500 euros in total. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholars
8. Baking muffins Aunt Polly is baking muffins at a speed of 4 muffins per minute. Tom comes into the kitchen when Aunt Polly has 12 muffins, and begins to eat these muffins at a speed of 6 muffins per minute. When he finally leaves the kitchen, there are 4 muffins at the
9. A square base A solid right pyramid has a square base. The length of the base edge is 4 centimeters and the height of the pyramid is 3 centimeters. What is the volume of the pyramid?
10. Panel house The construction company has two groups of workers. Group A has more members than B. Panel house was insulated by group A in 10 days. The same block of flats was insulated together in 6 days. How many days would group B block insulate?
11. Cylinder The 1.8m cylinder contains 2000 liters of water. What area (in dm2) of this container is the water?
12. The lift The lift can fit 4 people. How many uphill rides must the lift make to move up 12 passengers?
13. Regular hexagonal pyramid Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture.
14. Parametric form Calculate the distance of point A [2,1] from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation. ..
15. Octagonal pyramid Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the plane of the base is α = 60°.
16. Pupil I'm a primary school pupil. I attended the exercises of parents with children 1/4 of my age, 1/3 for drawing, and 1/6 for flute. For the first three years of my life, I had no ring, and I never went to two rings at the same time. How old am I?
17. Tetrahedral pyramid Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30´.
18. Possible lengths Find the most possible lengths for the third side of a triangle with sides 20 and 18.
19. Pairs of socks Ferdinand has twelve pairs of socks, one sock is leaky. What is the probability of putting on a leaky sock?
20. Uboid volume Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²

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