Grade - math word problems - page 870 of 944
Number of problems found: 18874
- Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7:5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z.
- Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine the angles of the triangle ABC.
- Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides.
- Painters
One painter could paint a school for seven days. The second one does it for six days. It was necessary to paint the school in two days. The next painter was invited, and all worked together. How long would this painter paint the school itself?
- Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
- Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths.
- Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere.
- Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated?
- Lunch
Jane eats the whole lunch for 30 minutes. Which part of the lunch does he eat in 180 seconds?
- Measures 1576
Katy, whose step measures 50 cm, counted 294 steps from her house to her aunt's. If his step measures 70 cm, how many steps will Katy's father take to his aunt?
- Luminosity 1575
Ten lamps with a certain luminosity are needed to illuminate the rooms. How many lamps with 2.5 times more brightness are needed for the same lighting in the same room?
- Feed for horses
In the kennel, have feed for two horses for 21 days. The station brought an additional five horses. How many days will feed for all the horses last if they have the same daily ratio?
- Coal
The daily consumption of 1.6 tons of coal is sufficient to supply the boiler for 42 days. How long is sufficient to supply when it burns only 1.2 tons of coal a day?
- The farmer
The farmer harvested 840 tons of grain in 2006, 44% less than in 2005 and one-fifth more than in 2004. How many tons of grain were harvested in the years 2005 and 2004?
- Mom and dad
Mom wants to talk with dad for 3.5 hour. But dad wants two times more hours than mom. How many hours wants dad talk with mom?
- Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used?
- Annie
Annie had a few cents in her wallet. She bought three buns for 9 cents. Now she has 51 cents in the wallet. How many cents previously Annie had in the wallet?
- Tailor master
There are less than 50m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5m). No textile is left when using a cloth (consumption of 3.2m). How many meters of textiles are in a tailor's workshop?
- Summerjobs
The agency gives summer jobs to 2352 students in 2018. The one-eighth was high-school students. The rest were undergraduates. How many undergraduates work via an agency in 2018?
- Intersection of the lines
How many points do nine lines intersect in a plane, of which four are parallel, and of the other five, no two are parallel (and if we assume that only two lines pass through each intersection)?
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