Maths practice for 14 year olds - page 362 of 379
Number of problems found: 7572
- 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 32 m. The concrete wall is 35 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 - Road
A ratio of 1:15 gives the average climb of the road. By what angle does the 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 . - Peleton
The cycling race was run at an average speed of 45 km/h. One cyclist lost with defect 8 minutes. How long and far must he go at speed 51 km/h to catch the peloton again? - Retail
At what price can the retail 1 kg goods be bought from wholesale if the weight lost in distribution is 4%, and retail still has a profit of 6.3%? Goods are sold at retail for 25 euro per kg. - 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 35 km/h and follows a pedestrian walking at speed 4 km/h. The walker has an advantage 19 km. How long does it take a cyclist to catch up with him? - Cylinder
The cylinder surface is 922 dm². Its height is equal to the radius of the base. Calculate the height of this cylinder. - Reference angle
Find the reference angle of each angle:
- Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals. - Probabilities
If probabilities of A, B, and A ∩ B are P (A) = 0.62, P (B) = 0.78, and P (A ∩ B) = 0.26, calculate the following probability (of the union. intersect and opposite and its combinations): - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number?
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