Math practice for 13 year olds - page 233 of 422
Number of problems found: 8427
- Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes. - Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v. - Motorcyclist 8375
The distance from point A to point B is 40 km. And a cyclist left at 9:00 a.m. at a speed of 20 km/h. At 9:30 a.m., a motorcyclist drove against him from place B at 40 km/h. At what time and at what distance from A do they meet? - Sphere VS
Find the surface and volume of a sphere with a radius of 2 dm. - Kilometers 8362
The cyclist left place A at 8:00 a.m. at a constant speed of 25 km/h. At 8:30, a passenger car leaves A at a speed of 75 km/h along the same route. How many kilometers does the cyclist travel before the car catches up with him? - Balls 8358
The bag has five red, four blue, and seven white balls. At least how many balls do we have to pull out to have at least one white ball on the table? - Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the - A sculptor
A sculptor is duplicating a statue based on an original statue. If the scale factor of the replication is 3.2, will the new statue be larger or smaller than the original statue (enter 1 = larger, 0= smaller) - Trip kilometers
The route of the tourist trip measures 28 cm on a map with a scale of 1:50000. The average walking speed is 4km/h. How many kilometers does the trip measure? How many hours will the students spend on the trip? - Summerjob
Temporary workers Franta ties a sheaf of hay in 20 minutes, Lojza only a quarter in the same time. How many sheaves do they tie together in 8 hours? - Containing 8340
Calculate the perimeter of a square containing 9 acres. - The railway
The railway line has a gradient of 12 per mille. How many meters will it ascend to a horizontal distance of 4 km? - Six workers
Six workers planned to repair the roof in 5 days. After two days, two workers get sick. How long will the remaining workers complete the roof at the same rate? - Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - One three
We throw two dice. What is the probability that number three falls maximally once? - Telephone numbers
How many 7-digit telephone numbers can we put together so that each number consists of different digits? - Representative 8328
How many ways can a commander and a representative of a 20-member group be elected? - Calculate 8327
Calculate the surface area of a cube with a volume of 262,144 cm³. - Calculate 8325
Calculate the area of a circular section given by an angle of 220 degrees if the circle's radius is 20cm. Round the result to cm2 - Centimeter 8323
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter.
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