Examples for 9th grade
Number of problems found: 3301
- Apples
60% of first quality apples were picked in the upper orchard and 90% of first quality apples in the lower orchard. How many% of the first quality was achieved in total, if the total harvest was 240 tons of apples and in the lower orchard the harvest was 4 - Pipe thickness
The outer circumference of the tube is 32cm. Its length is 60cm, density 8.5g/cm ^ 3 and weight 9.495kg. Calculate the wall thickness of the pipe. - Iso triangle
An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle. - Two companies
The two companies made a work together in 100 days. The first company would do it in 150 days, how many days would the work take the second company? - Find the
Find the volume and surface of a prism with a height of 120 mm, the base of which is an right isosceles triangle with a leg length of 5 cm. - Sphere volume formula
If V=4/3 π r3, find, the value of V when r = 7, the value of r when V=113 1/7 - Bronze
How many kg of tin is in 3.6 kg of bronze if it contains 15% tin? - Lunes of Hippocrates
Calculate the sum of the contents of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: first calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of t - Money spending
Albert and Peter have an amount of money. If Albert spent $6 and Peter did not spend any, then the ratio of Albert's money to Peter's money is 1:3 . If peter spent $6 and Albert did not spend any the ratio of Albert's money to Peter's money is 3:7.How muc - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Face combinations
If I have 20 sets of eyes, 20 noses, and 20 mouths, how many unique face combinations can I make? - The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond? - Multiple ratio
The numbers of boy students, girl students, teachers and other staff of the school are in the ratio 14: 12: 2: 1. How many teachers are there at school if there are 216 girl students at school? - Plants
The number of germinated plants increased by 50% to 300 from morning to evening. How many plants were germinated in the morning? - After the discount
The dishwasher costs 210 EUR after the discount. How much did it cost before the discount if the new price is 90% of the original price? - Raindrops
The car runs on a horizontal track at a constant speed of 20 m2-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s. a) How fast is the speed of the drops relative to the car windows? b) What is the angle of the raindro - Saving account
After a year, bank added 54 euros to Mr Eva saving account. The interest rate on her saving account is 1.25% p. a. How many euros did Mrs. Eva have on her account a year ago? - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - A box 4
A box open at the top has a rectangular base 200mmx300mm and an altitude of 150mm. If the base and the sides are 10mm thick, find the total surface area of the box. - Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
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