Length - practice for 14 year olds - page 49 of 50
Number of problems found: 992
- Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse. - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Track arc
Two straight tracks are at an angle 74°. They will join with a circular arc with a radius r=1127 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)? - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r?
- Cap
A rotating cone shapes a jesters hat. Calculate how much paper is needed for the cap 54 cm high when the head circumference is 47 cm. - Cable car
The cable car rises at an angle of 44° and connects the upper and lower station with an altitude difference of 1089 m. How long is an "endless" tow rope? - Circle
The circle k with diameter |MN| = 61. Point J lies on the circle k. Line |MJ|=22. Calculate the length of a segment JN. - Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P. - Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth
- 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. - 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 14 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 70 %. 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 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journeys took 88 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? - Similarity n-gon
9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm², and the diagonal length GD is 32 dm. Calculate the area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm. - Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length 21 cm? Assume that cutting glass waste is 10%. - 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. - Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
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