Examples of equations for practice for 14 year olds - page 87 of 89
Number of problems found: 1774
- Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil - Bath
In the bath is 30 liters of hot water. Then we added 36 liters of cold water at a temperature of 19 °C and decreased the temperature of water to 41 °C. What was the initial temperature of the hot water? - Sequence
In the arithmetic sequence, is a1=-1, d=4. Which member is equal to the number 203? - Spherical cap
From the sphere with a radius of 11 was a truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?
- 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone. - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=16 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio (|PB|)/(|DP|). - Pine
How much of a mixed forest ranger wants to cut down if their head said: "We only cut down pine trees, which in our mixed forest 98%. After cut, pine trees constitute 94% of all trees left." - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Beer
After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille? - Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 2.5 years after the previous one when the eldest of the brothers was 2-times older than the youngest, mother all curse. How old were seven ravens brothers when their mother cur - Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle. - Radians
Convert 324° to radians. Write the result as a multiple of the number π. - Discount
The ladies' sweater was twice discounted. First by 8%, then by 8% of the new price. Its final price was 66 €. Determine the original price of the sweater.
- Motion
From two different locations, distant 232 km started against car and bus. The car started at 7:10 with an average speed of 74 km/h. The bus started at 8:40 with an average speed of 48 km/h. When did they meet? How many kilometers went the bus? - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Radius
Determine the circle's radius if its perimeter and area are the same numbers. - Motion
Cyclist started at 9:00 from point S to point T. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from T to S, started at 9:35. After 71 minutes, he met the first cyclist, and after the next 8 minutes, the second - Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
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