Themes, topics - math word problems - page 22 of 174
Number of problems found: 3477
- Triangle square area
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the area of this square. - Cyclist distance hours
A cyclist travels at an average speed of 22 km/h. Determine how many kilometers he travels in three and a quarter hours. - Individual
To prepare 14 kg of cheese with 45% dry matter, three types of cheese mixtures were blended. The first mixture weighed 5 kg; the second weighed 3 kg and contained 14 percentage points more dry matter than the first. The third mixture, which had twice the - Source internal resistance
A load of 23.5 ohm is connected to an ideal voltage source of 30 V, and a current of 1.2 A passes through the circuit. Determine the magnitude of the source's internal resistance and the short-circuit current. - Part-timer
Seven part-timers paint 280 m of railings in 5 hours. How many meters of railing will nine part-timers paint in 4 hours? - Cyclist opposite distance
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Cone semicircle proof
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it. - Soda bottles factory
Two different filling machines fill soda bottles to order. If the first machine worked alone, it would need a third less time to complete the order. How long would it take each machine to complete the job independently if the faster machine worked for 96 - Lucka candy count
Ten different packages contain 1 to 10 candies respectively. Each child took two packages. They received the following number of candies: Annie: 5 Suzy: 7 Katie: 9 Monica: 15 How many candies does Lucy have? - A raft
I want to build a raft, and I have beams with a square section with side a=20 cm and length l=2 m, wood density 670 kg/m³. I will connect 10 beams - what is the volume of the raft and its weight? How deep will a raft sink in water (water density 1000 kg/m - Remaining
Mum baked buns for dinner. Dad ate 1/3 of them. Then George came and ate a quarter of the remaining buns. After George, Martin came and ate a third of what was left. Annie ate half of the remaining buns, and Mum was left with four buns. How many buns did - In the primary
In a primary school every year a knowledge competition is organised, in which each competitor can get at most 15 points. This year the average point achievement of the competitors, rounded to tenths, was 10.4. Jožko realised after the competition that som - Mo z5 2023 dogs
Anetka's uncle has his birthday on the same day of the year as Anetka's aunt. The uncle is older than the aunt, but not by more than ten years, and both are of full legal age. At the last celebration of their birthdays, Anetka realised that when she multi - Truck pile shifts
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5? - Car fuel distance
The car traveled a distance of 120 km in 1 hour 50 minutes. The first part of this track traveled at a speed of 50 km per hour, and the second part traveled at a speed of 75 km per hour. The 10 minutes the driver needed to fill the gas are included in the - Steel weight thread
A round steel weight (ρ1=7800 kg/m3) is suspended on a thread and immersed in water (ρ2=1000 kg/m3). The volume of the weight is 1 dm³. With what force is the thread stretched? - Line segments
Triangle ABC is divided by line segments. Lines DE and AB are parallel. Two lines are drawn from vertex C. The first line intersects points H and F on segments DE and AB. The second line intersects points I and G on segments DE and AB. Triangles CDH, CHI, - Maid bed making
Six maids in a hotel make 200 beds in 2 hours. Calculate how long five equally efficient maids would take to make these beds. Enter the result in minutes. Calculate how long three equally efficient maids would take to make 100 identical beds. Express the - Bank inflation saving
Let's assume that the interest in the bank is 10% and that we have saved €1000. 10% may seem like a good investment. However, if inflation is 6%, how much can we save in the bank in real terms? For the simplicity of the calculation, the income is not taxe - Merry-go-round angular velocity
Calculate the magnitude of the angular velocity of the seat of a merry-go-round moving in uniform motion in a circle with an orbital period of 0.2 minutes.
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