Maths practice for 14 year olds - page 367 of 375
Number of problems found: 7493
- Sequence
Write the first 5 members of an arithmetic sequence: a1=-6, d=-1. - Tinsmith
Tinsmith constructs chimney pipe 186 cm long and 16 cm wide. A pipe is made from the plate overlap at the joint and needs to add $x cm width of the plate. What dimensions of the sheet will have to be prepared for the construction? - Cubes
Surfaces of cubes, one of which has an edge of 42 cm shorter than the other, differ by 16128 cm². Determine the length of the edges of these cubes. - Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors. - Free fall
Pavel fall from height 9 m. Calculate the speed at which he hit the ground when falling with acceleration g = 9.81 m/s² - Subway
The Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, it went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations? - Cuboid
Find the dimensions of cuboids a, b, and c; if diagonal d=6 dm has an angle with edge α=35° and has an angle with edge b β=66° - Salary
Calculate the equivalent annual salary to an hourly wage of $ 15. Assume a 33-hour workweek. - Web server
Calculate how many average minutes the web server is unavailable a year if the availability is 99%. - Pool
If water flows into the pool through two inlets, it will fill for 5 hours. If the first inlet fills the pool 5 hour longer than the second, how long does it take to fill with two inlets separately? - Equation
How many real roots have equation x³=x? - R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - 7 heroes
6 heroes galloping on 6 horses behind. How many ways can we sort them behind? - Wiring
The conduit has a cross-section 54² mm. Maybe put it into 6 conductors with a cross section S2 $mm²? - Wheat
The rectangle-shaped field with dimensions 529 m and 1001 m harvested last year was 2780 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 1001 m, were - Blood
In the human body, the blood is about 7.3% body weight. How many kilograms of blood are in the human body with a weight of 91 kg? - River
Calculate how many permille river Hudson average falls, if on section long 952 km flowing water from 1231 m AMSL to 131 m AMSL. - Fraction
For what x expression (x²-64)/(10x² -80x) equals zero? - Compare II
Which of the numbers 710 and 107 is greater? - Fixed expenses 2013
Since 2013, the Slovak government has had plans to tax more small one-person businesses. Instead of fixed expenses, 40% will be fixed expenses 40% of gross income up to 420 Eur. Calculate the percentage of fixed expenses that will be paid in 2013 from gro
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