Maths practice for 14 year olds - page 305 of 312
Number of problems found: 6239
- Sequence 2
Write the first 4 members of an arithmetic sequence a8=23, d=2.
- Sequence
Write the first 6 members of an arithmetic sequence: a1=-7, d=-5.
- 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?
- 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=9 dm has an angle with edge α=55° and has an angle with edge b β=58°
- Cone
The circular cone has height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume.
- Salary
Calculate the equivalent annual salary to an hourly wage of $ 15. Assume a 33-hour workweek.
- The www server
Calculate how many average minutes the web server is unavailable a year if the availability is 99.9999%.
- Pool
If water flows into the pool through two inlets, it will fill for 20 hours. If the first inlet fills the pool 8 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 1268 m and 745 m harvested last year was 4959 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 745 m, were n
- 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 109 kg?
- Fraction
For what x expression (4x²-16)/(3x² -6x) equals zero?
- Compare II
Which of the numbers 710 and 107 is greater?
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