Math practice for 13 year olds - page 207 of 210

Number of problems found: 4194

Degrees to radians
Convert magnitude of the angle α = 538°38'17" to radians:
Tournament
Determine how many ways can be chosen štyria representatives from 32 students to school tournament.
Guests
How many ways can 8 guests sit down on 10 seats standing in a row?
VAT
VAT is a tax on which the state artificially betrays goods and services for final consumption. VAT in Slovakia is 20%. Calculate how much percent pay fewer tax residents of Japonska when VAT is only 5%.
Circumference - a simple
What is the ratio of the circumference of any circle and its diameter? Write the result as a real number rounded to 2 decimal places.
Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center.
Discounts on rail (ZSSK)
The railway company ZSSK offers a discount of 40% (SENIOR RAILPLUS) for 9.9 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 5 Eur per week.
Sphere A2V
The surface of the sphere is 241 mm². What is its volume?
Sphere fall
How much percent fall volume of a sphere if the diameter decreases 3×?
Sphere growth
How many times does a volume of the sphere rise if priemer rises 10×?
Density - simple example
Material of density of 1189 kg/m³ occupies a container volume of 64 cm³. What is its mass?
Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 18 dm above water, and the width of the surfaced barrel part is 34 dm. The barrel length is 12 dm. Calculate the volume of the barrel.
Circle arc
The circle segment has a circumference of 9.08 km and 58.99 km² area. Calculate the radius of the circle and the size of the central angle.
3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie.
Inflation
Once upon a time, the tsar owned a money printer and printed and printed. Printing money prices went up in the first year 2.7 %, in the second 2.1%, in the third 3.6%, and in the fourth 5.4%. Then tsar failed in the election. Calculate the average annual
Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers?
Insurance
The house owner is insured against natural disasters and pays 0.05% annually of the value of the house 88 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 50% of the insurance is to pay damages.
Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him?
Monkey
The monkey fell into 20 meters deep well. Every day it climbs 3 meters, at night it drops back by 2 m. On what day it gets out from the well?

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