Maths practice for 14 year olds - page 309 of 312
Number of problems found: 6239
- 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 = 207 mm with central angle 5.33 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 9:14 and the perimeter is 388.
- 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.
- Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word.
- Rectangle Anton
The difference between the length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle.
- Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to piatich characters.
- Teams
How many ways can we divide 14 players into two teams of 7 members?
- Tournament
Determine how many ways can be chosen two representatives from 34 students to school tournament.
- Guests
How many ways can 8 guests sit down on 10 seats standing in a row?
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