Maths practice for 14 year olds - page 341 of 375
Number of problems found: 7493
- 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? - 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? - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Mukls
The six workers' working group would order jobs completed within 21 working days. How many workers must be added to complete a contract in 14 working days? - Painting school
Redecoration school had scheduled for four crew to 10 days. After two days, a single worker was ill. For how many days was the school painted when remain workers working with the same tempo? - Five tractors
Five tractors plow the field in 4.8 hours. How long would it take to plow this field if, after 1.5 hours of work, two tractors went to a different field? - Wood
Wood contains 12% water. One m³ of wood weighs 650 kg. How many liters of water does it contain? - Uranium ore
Uranium ore contains 0.2% pure uranium, and pure uranium includes 0.07% fissile uranium. How many grams of fissile uranium has 7400 ton of uranium ore? - Cargo
The weight of the cargo car is 761 kg. The car's weight is 23% of the total weight of the car+cargo. What is the weight of the cargo load? - Orchards percentage
Almost 60% of the country's area is permanent crops. 30% of permanent crops are orchards. What percentage of the area of the state is occupied by fruit orchards? - Influenza
For the first week of February, by influenza, 5% of children were in kindergarten. In the second week ill, nine next children, bringing the number of patients increased to 20%. How many children went to kindergarten? - Pumps
The first pump flows 16 liters per second into the basin by the second pump 75% of the first and by the third pump half more than the second. How long will it take to fill the basin with all three pumps simultaneously, a volume of 15 m³ (cubic meters)? - James
James paints a fence. If he painted every day, instead of 14 planks, he would do 16 one day earlier. How many planks have a fence altogether? - Unknown number 10
The number first increased by 30%, then by 1/5. What percentage we've increased the original number? - Potato starch
Potatoes contain 65% starch. How many potatoes do we need to get 13 kg of starch? - Barrel
The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of their capacity. What is the volume of a barrel if the volume of the bucket is 12 liters? - Crowns
1180 crowns are divided into three: A got 20% less than B, and C got 15% more than B. How many got A, B, and C? - Repair company
The company repairs cars. On the first day, repair half of the contract; on the second day, half of the rest; and on the third day 8 residue cars. How many total cars did the company repair? - The city
At the end of 2010, the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013?
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