Maths practice for 14 year olds - page 372 of 379
Number of problems found: 7577
- 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[-19,3] B[-20,25] C[22,10]. - Cyclist
The cyclist goes uphill 7 km for 46.9 minutes and downhill minutes for 15.4 minutes. Both are applied to the pedals with the same force. How long does he pass 7 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?
- Function
For linear function f(x) = ax + b is f(19)=141; f(20)=168. Calculate m, if f(m) = 2018. - Power
Number left(sqrt(16 * sqrt[ 7 ] (16)) right) 19 can be written in the form 16^x. Find the value of x. - Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Its common chord is long 11 cm. What is the distance of the centers of these circles? - 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. - Company
After increasing the number of employees by 9%, the company has 327 employees. How many employees take? - 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. - Product
The product of two consecutive odd numbers is 1295. What are these numbers? - 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. - Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π.
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