Maths practice for 14 year olds - page 358 of 375
Number of problems found: 7493
- Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Percentages
Expressed as a percentage: - IS trapezoid
Isosceles trapezoid arm measured 80 cm. Height is 65 cm, and the middle segment is 71 cm. Find the length of its bases. - Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank? - Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters. - Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0. - Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates? - Vectors
For a vector w is w = 2u-5v true. Find coordinates of vector w if u=(3, -1), v=(12, -10). - Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11 - Square2
The side of the square is a = 5.6 cm. How long is its diagonal? - Height UT
How long is the height in the equilateral triangle with a side f = 31? - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place. - Silo
The outer perimeter of the silo is 10 m. The concrete wall is 13 cm thick. What is the diameter and area of the inside floor of the silo? - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Peleton
The cycling race was run at an average speed of 42 km/h. One cyclist lost with defect 9 minutes. How long and far must he go at speed 47 km/h to catch the peloton again? - SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle. - Cyclist
A cyclist is moving at 34 km/h and follows a pedestrian walking at speed 5.5 km/h. The walker has an advantage 12 km. How long does it take a cyclist to catch up with him?
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