Maths practice for 14 year olds - page 289 of 297
Number of problems found: 5921
- Balance
The rod is 1.9 m long hanging weights 4 kg and 1 kg on ends. Where is the center of the rod (distance from weight 4 kg) to be in balance? - Sequence 2
Write the first 5 members of an arithmetic sequence a11=-14, d=-1. - Sequence
Write the first 7 members of an arithmetic sequence: a1=-3, d=6. - Tinsmith
Tinsmith constructs chimney pipe 145 cm long and 15 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 48 cm shorter than the other, differ by 36288 dm². 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 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? - 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 $ $h. Assume a $n-hour workweek. - Server
Calculate how many average minutes the web server is unavailable a year if the availability is 99.9%. - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool 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 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.
- 7 heroes
6 heroes galloping on 6 horses behind. How many ways can we sort them behind? - 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 $eq equals zero? - 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 what percentage of fixed expenses will in 2013 pays from gross inco
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