Grade - math word problems - page 124 of 968
Number of problems found: 19341
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal. - PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a and b. Estimate the length of the missing side and compare your estimate with the calculated value. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a = 8.9 m; b = 1 m d) b = 10 cm; c = 20 cm e) b = 2.5 m; c - 23 students
The ninth-grade students went on a field trip in a number such that when seated at tables of 4, 5, or 6, there was always exactly one seat left empty. What is the smallest number of students who could have participated in the field trip? - Gyms
There are 18 basketballs in a large gym. There are half as many in a small gym. How many basketballs are there in the small gym? - In a right triangle 13
The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the triangle. - Hollow block
A hollow block is a prism with base dimensions a = b = 29 cm and height v = 15 cm. The wall thickness is 4.5 cm. What percentage of the block's volume is its cavity? - Skiing trip
Ski equipment costs 4,560 CZK in the summer, but at the beginning of the ski season, it increases to 10,032 CZK. By what percentage is the winter price higher? - Vertical movement
Find the length of the vertical path you must travel to lift a weight using a force of 0.01 N and do 1 J of work. - The denominator
Find unknown denominator in fraction inequality: 6/5>41/_>8/7 - Aluminum - density
The density of aluminium is 2,700 kg/m³. Calculate the mass of an aluminium cube with a volume of 80 cm³. - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed. - Clothing
Winter clothing was first reduced by 20% in the spring, and then the new price was reduced by a further 25%. What was the original price of a winter jacket if it was sold after the double discount for 1,050 CZK? - Sifted sand
At a construction site, sand used in mortar is sifted through a sieve. In the process, 1/6 of the coarse material does not pass through and is discarded. Determine how many cubic metres must be brought in to obtain two cubic metres of sifted sand. - Balls 6
Jane has balls in her bag that can be divided equally among 4, 5, or 6 children. What is the minimum number of balls Jane could have in her bag? - Aluminum ignote
At what temperature did the temperature stabilise if an aluminium ingot weighing 45 kg, initially at 15 °C, received 4.8 MJ of heat? The specific heat capacity of aluminium is 896 J/(kg·°C). - Paving 2
A construction company needs 8 working days to pave the pavements on two streets if all 6 pavers work. However, only 4 pavers are available because the other two have been reassigned. How many working days will it take the group of 4 pavers to complete th - Shadow - an observation tower
How tall is an observation tower if it casts a shadow 9.6 m long at the exact same moment that a half-metre pole casts a shadow 30 cm long? - Didactic test B0
A tourist cycled 28 km on an asphalt road and 25 km on a dirt road, taking 3 hours and 36 minutes in total. At what speeds did the tourist travel each section if he rode 1.4 times faster on the asphalt road than on the dirt road? - Goods - two thirds
How much did the goods cost if 2/3 of them cost 450 euros? - Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that absorbed 3.5 kJ of heat when heated to 39 °C? The specific heat capacity of iron is 450 J/(kg·°C).
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