Maths practice for 14 year olds - page 306 of 312
Number of problems found: 6239
- Cube corners
From the cube of edge 5 cm, we cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will this body have? - 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 2 km for 7.4 minutes and downhill minutes for 4.8 minutes. Both are applied to the pedals with the same force. How long does he pass 2 km by plane?
- Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10. - Daily average
Calculate the average temperature during the day, when 14 hours were 24 °C and 10 hours was 14 °C. - 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? - Power
Number left(sqrt(14 * sqrt[ 4 ] (14)) right) 17 can be written in the form 14^x. Find the value of x. - Wire
One pull of wire is reduced by its diameter by 14%. What will the wire diameter be with diameter 19 mm over 10 pulls?
- 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 63 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. - Pipeline
How much percent has the pipe cross-section area changed (reduced) if the circular shape is 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. - 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 28500 cm², and the weight is 34.2 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 1140x +876y = 48 solvable on the set of integers Z?
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