Grade - math word problems - page 110 of 967

Number of problems found: 19337

Worker 8
A worker has a standard output of 15 products in 8 hours, but produced them in 6.5 hours. By what percentage did he exceed the plan?
Me and my father
My father and I are currently 55 years old together. When we are 65 years old together, my father will be four times older than me. How old am I?
From a full
From a full cylindrical glass with a diameter of 8 cm, 1 decilitre of water was poured out. By how many centimetres did the water level in the glass drop?
Number 17
The number of boys in the class is k and the number of girls is m. How many euros will the class treasurer collect from them for a theatre performance if one ticket costs €4.25?
Legs and ratio
The legs of a right triangle are in the ratio a:b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle.
Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²?
RRL Basics
What is the length of the smaller base and the height of an isosceles trapezoid if a = 9 dm, the leg is 6 dm, and angle ACB = 90°?
Nuts 8
Peter divided nuts between two friends. Each friend received a quarter of all the nuts plus two more nuts. Peter had two nuts left. How many nuts did he have originally?
Large 2
A large gear has 72 teeth, a medium gear has 56 teeth, and a small gear has 27 teeth. How many revolutions will the smallest gear make when the largest gear turns 120 times?
Calculate 449
Calculate the size of the angle formed on a clock face by the lines connecting the centre to the positions at 7:12 and 1:24.
Storm 4
Approximately 4,000 trees grow on 1 hectare of forest. During the storm of 20 November 2004, 95% of the trees on 100 km² of the High Tatras forest cover were destroyed. How many trees were destroyed?
A sixth of a million
How much is 2/6 of $10,000,000?
Asphalt - road
2,933 kg of asphalt is how many m³? Use the density of asphalt as 2,400 kg/m³. Note: Natural asphalt (bitumen): 1,010–1,050 kg/m³ Asphalt mixture (for roads): 2,200–2,500 kg/m³ (Contains mineral aggregates, so it is denser.)
Into the bottle
A bottle can hold water weighing no more than 1 kg. Can the same bottle hold gasoline of the same mass?
Daniel 3
Daniel and Eve earned 180 euros together. Daniel earned 70 euros more than Eve. How much did Daniel earn, and how much did Eve earn?
Three friends 10
Three friends Peter, Thomas, and George earned 4,000 CZK from part-time work. Peter earned three times more than Thomas, and George earned 500 CZK more than Thomas. How much did each of them earn?
Three dice 2
What is the probability that exactly two of the three dice show the same odd number when three dice are rolled?
In class 24
There are a total of 16 students in the class, a quarter of whom are girls. A team of five is selected at random. Determine the probability that the team will have: a) at least 4 girls, b) at most 1 girl, c) no girls.
In a regular 5
In a regular triangular prism ABCV, the angle between the lateral face and the base plane is α = 45°. Determine the angle between the lateral edge and the base plane.
Matej 2
Matthew, Mark, Miles, and Matt had a total of 205 football player cards with signatures. Mark has four times more than Matthew. Matt had twice less than Mark. Miles had 20 fewer cards than Matthew. How many cards did each of them have?

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