Math practice for 13 year olds - page 42 of 423
Number of problems found: 8457
- Iron ball 2
What is the mass of the iron ball with a diameter of 1,0 dm? The density of iron is 7870 kg/m³. . - A triangle 7
A triangle lot has the dimensions a=15m, b=10m, and c=20m. What is the measure of the angle between the sides of b and c? - A clock 2
A clock was set right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? - On a job
On a job, Peter harvested 150 kg of apples, and John harvested 130 kilograms of apples. They divided the reward of 2660 CZK in proportion to the apples harvested. How much did each receive? - Path 11
A path 1.5 meters wide is to be built around the perimeter of a square plot of land with a side of 28 meters. By how much will the area of the plot be reduced? - Solve R
Solve the equation with brackets: 5×(2u-9)-8×(0.5-3u)=4×(7u-1)-3 - Branded
Branded sneakers are now selling for 2394 CZK. The seller reduced the original price by 5%. He reduced the new price by another 10%. What was the original price? How much was the total discount? How much of the original price is 21% VAT? - Morse code 2
We have two characters, a dot and a comma. How many two-element and how many three-element characters can be created with repetition? - Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height to side AB is 4 cm. Point P is the base of the altitude to side AD. Calculate the area of the triangle ABP. - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12cm and a height of the prism equal to the diameter of the circle circumscribed by the base? - 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid: a = 6 cm and the body height is 12 cm. - Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram. - Tractor 19
A tractor plows a field in 48 hours using a plow with 5 blades. How long will it take it to plow the same field with a plow with 6 blades of the same width, while maintaining the same tractor speed? - Painting a column
How many kg of paint do we need to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m long and a height to the base edge of 2 m, if 1 kg of paint is enough for 25 m² of paint? The column is 10 m high. - Measuring cylinder
A measuring cylinder has a base radius of 35mm and a height of 500mm. Calculate the surface area wetted by the liquid if the level reaches a height of 35cm. - Similarity coefficient
Given triangle ABC with sides a = 12 cm b = 9 cm c = 7 cm and triangle DEF with sides d = 8.4 cm, e = 6.3 cm f = 4.9 cm Find out if triangles ABC and DEF are similar if so, write the similarity coefficient and according to which sentence they are similar - Women in the company
1467 women work in a factory. Women make up 46% of all employees in the factory. How many employees work in the factory? - Water + temperature
We supplied 1365 kJ of heat to water weighing 5 kg and initially at 20°C. To what temperature did it heat up? - Painters 5
Six painters were supposed to paint 6000 m² of area within the planned time. Two painters got sick, so each of the four who remained had to paint 50 m² more each day than the planned daily output. Calculate the original planned daily output of one painter - John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. How many CZK did Thomas receive less than John?
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