Math practice for 13 year olds - page 54 of 422
Number of problems found: 8425
- Electricity bill - share
Three roommates divided the electricity bill according to the time spent on the PC. Adam and Brano's time is divided in the ratio of 1:4, and Brano and Damian's time is divided in the ratio of 2:5. In what proportion do all three boys spend the time at th - Participants 83349
Two thousand three hundred twelve participants responded positively to the survey question, which is 68% of the total survey participants. Determine the total number of participants in the survey. - Granddaughters 83342
Granddaughter Mia helped the old for 3 days, Ema for 2 days, and Zoja for 4 days. If the grandmother wants to reward her granddaughters fairly according to how long they have been helping her, in what proportion should she divide the chocolate among her g - Calculation 83339
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct. - Productivity 83336
The company's daily production was 240 products. How much did it increase if labor productivity increased by 25%? - Productivity 83335
As a result of an increase in labor productivity by 15%, the company began to produce 920 products per month. How many products did he produce per month before? - Interventions 83334
The hockey goalie got 6 goals for the match. The success rate of his interventions was 80%. How many shots did he catch per game? - Dice - 5 times
We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason. - Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Equilateral shell
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500 kg/m³? - Percentage 83320
The company's monthly production increased from 352 products to 528 products. So, by what percentage did the original monthly production increase? - Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume. - Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7cm, BC=5.5cm, and the height of the first side on AB=4.4cm. - Numbers 83301
On the number line, display all real numbers greater than or equal to two and less than 5. - 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?
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