Maths practice for 14 year olds - page 295 of 311
Number of problems found: 6208
- Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm. - Homework
Together, the mother and Kate weigh 24.5 kg more than the father. The father weighs 7.6 kg more than the mother. The father weighs 44.8 kg more than Kate. Determine the weights of the father, mother, and Kate. - 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 35 cm. Height is 30 cm, and the middle segment is 65 cm. Find the length of its bases. - Tank
In the middle of a cylindrical tank with a bottom diameter of 251 cm is a standing rod that is 13 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 1/14 of brightness passing through a glass plate. What is the brightness of the ray after passing through 10 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 = 14: 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 e = 15? - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
- Silo
The outer perimeter of the silo is 32 m. The concrete wall is 35 cm thick. What is the diameter and area of the inside floor of the silo? - Road
The average climb of the road is given by ratio 1:15. By what angle does road moderate climb? - Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in the area of the hop garden? - 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 .
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