Maths practice for 14 year olds - page 290 of 296
Number of problems found: 5920
- Sea
How far can you see from the ship's mast, whose peak is at 14 meters above sea level? (Earth's radius is 6370 km). - Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[-17,9] B[-26,-19] C[-7,7]. - Cyclist
The cyclist goes uphill 10 km for 50 minutes and downhill minutes for 29 minutes. Both applied to the pedals with the same force. How long does he pass 10 km by plane? - Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10.
- Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - Function
For linear function f(x) = ax + b is f(10)=192; f(16)=170. Calculate m, if f(m) = 2008. - Power
Number left(sqrt(14 * sqrt[ 4 ] (14)) right) 17 can be written in the form 14^x. Find the value of x. - Estate
An estate-shaped rectangular trapezoid has bases long 35 m, 65 m, and perpendicular arm 34 m. Calculate how long its fence is. - One half
One half of 2 75 is: ...
- Line
Is it true that the lines that do not intersect are parallel? - Gauss
Help little C.F. Gauss sum all the integers from 1 to 400. - Product
The product of two consecutive odd numbers is 8463. What are these numbers? - Pipeline
How much percent has changed (reduced) the pipe cross-section area if the circular shape changed to square with the same perimeter? - Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm.
- Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π. - Money
Everyone complains about the lack of money. There is no shortage of money but a relative scarcity of goods and things people buy for the money. Calculate what percentage of the price of all goods and services immediately rose if everyone has the day-to-da - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density? - Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Diofant 2
Is equation 70x +52y = 34 solvable on the set of integers Z?
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