Math practice for 13 year olds - page 54 of 432
Number of problems found: 8632
- Peleton
In a cycling race, the peloton travels at an average speed of 36 km/h. One competitor took 5 minutes to repair a puncture. How many kilometers per hour was his speed greater than the speed of the peloton when he caught up with him in 20 minutes? How long
- Apples 83295
The price of 6 kg of pears is CZK 77 higher than the price of 5 kg of apples. The price of 6 kg of apples is the same as the price of 5 kg of pears. How much are 2 kg of apples?
- Doubravka 83293
Evelyn plows the garden in four hours, while her friend Doubravka can do it in three hours. Evelína started work at 1 p.m., and an hour later, Doubravka joined her so they could go swimming together. Calculate the time the girls can go to the swimming poo
- Candies 83291
Jana and Klara divided the candies in a ratio of 15:18. Klára got 90 candies. How many candies were there?
- Another 83290
Petra pushed a chair from one room to another with a force of 60N. She did 300 J of work. How far did Petra push the chair?
- Bicycle wheel
What is the diameter in centimeters of the wheel of a bicycle if it turns 2000 times on a track 4082 m long
- Fractions: 83269
Equations with fractions: 3y - y+3/4 = 1+y/2
- Cancel variations
Evaluate the following expression with factorials: (45!-44!)/(44!)
- Employees 83264
The company laid off employees during the crisis, so at the end of the crisis, it had 40% fewer employees than before the crisis. When the company hired 42 new employees after the crisis subsided, it had 25% more than at the end of the crisis. How many em
- Perimeter 83259
The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1m² costs €1.5, a 12% loss due to joints and folds is included in the area.
- Quadrilateral 83254
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm?
- Percentage 83250
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show?
- Calculate 83248
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH.
- Isosceles 83247
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8cm and the angle at the base alpha= 38°40`.
- Decoration
Jarka and Jana decided to decorate their common room. If Jarka painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together?
- Decimeters 83242
The axial section of the cylinder is a square with an area of 56.25 cm². Calculate its surface area and volume. Express the result in square decimeters and cubic decimeters and round to hundredths.
- Determine 83240
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle.
- 5000g 83239
If 5000g costs €120, how much will 100g cost?
- Pomeloes 83231
During the first two days of the Easter market, the basket maker sold all the knitted pom poms; on the first day, he sold a fifth of all pom poms. On the second day, he sold 180 more pom poms than on the first day. How many pomelos did the barber sell on
- Condition 83228
Three boys, Ivo, Vlado, and Alan, are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Vlado reads 24 pages, and Al
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