Maths practice for 14 year olds - page 364 of 368

Number of problems found: 7348

Flags
How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors?
Loans, loan ...
In Slovakia, short-term non-bank loans launched, which few people have their "take," are considered unfavorable. Often, the borrower ends up in a spiral of debt, which takes more and more onerous loans to repay earlier loans. Calculate how many 9-year loa
Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
Barrel of oil
The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel?
Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line.
Magnification of the square
If we increase the square side, increase the area of the 57 %. About what percentage was increased on its side?
The cyclist
The cyclist went from village to town. The first half of the journey went at 24 km/h. The second half of the journey, which mostly fell, went at 38 km/h. All journeys took 94 minutes. Calculate the distance from the village to the town.
Circle and angle
What is the length of the arc of a circle with radius r = 432 dm with central angle 0.53 rad?
Widescreen monitor
A wave of widescreen monitors and televisions hit computer businesses. Calculate the area of the LCD monitor with a diagonal size 27 inches at a ratio of 4:3 and then a 16:9 aspect ratio. Is buying widescreen monitors with the same diagonal more advanta
Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder?
Cylinder - basics
Cylinder with base radius r = 24 cm and height h=62 cm. Calculate: a) Area of the base
Cylinder - A&V
The cylinder has a volume of 463. The base has a radius of 4. What is the area of the cylinder's surface?
Similarity n-gon
6-gones ABCDEF and A'B'C'D'E'F' are similar. The area of 6-gon ABCDEF is S₁=248 m², and the diagonal length FA is 28 m. Calculate the area of the 6-gon A'B'C'D'E'F' if F'A' = 36 m.
Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length of 21 cm? Assume that cutting glass waste is 10%.
Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 2:16 and the perimeter is 1289.
Railways - golden parachutes
This is an example more from political science, or even a fairy tale about carp who won't drain their pond. Let's look at the short work of the director of the Carp Railway Company: 18 months of quasi "work" as director reduction and elimination
Electronics: Resistors in parallel
Concerning calculating the resistance of the parallel combination of resistors: (1)/(R) = (1)/(R₁) + (1)/(R₂) Calculate the R, if R₁ = 17Ω a R₂ = 20Ω
Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate the size of angles.

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