Math practice for 13 year olds - page 357 of 362
Number of problems found: 7234
- Rectangular field
One dimension of the rectangular field is 56 m greater than the second dimension. If each side of the rectangle increases by 10 m increases, the surface field is 1480 m². Find dimensions of the field.
- Determine the number
Determine the number x that x+8 is (7)/(5) from one half of 7 x -1.
- Root
Use the law of square roots: cbrt (sqrt[2] (sqrt[4] (6))) = sqrt[n] (6)
- Rates
When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m³ of gas a flat monthly fee of 3.9 € (regardless of consumption) rate B - which pays 0.359 € per 1 m³ of gas a flat monthly fee of 12.5 € From what monthly co
- Center traverse
Does the middle traverse indeed bisect the triangle?
- Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm.
- Number
Is number 2.8814789 irrational?
- Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord?
- Box
Calculate the angle between box base 9 x 14 and body diagonal length 18.
- Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm.
- Is right?
Is a triangle with sides 51, 56, and 77 right triangle?
- Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not?
- Energy saving
They released three different independent inventions saving 15%, 17%, and 16% energy. Some considered that with the use of these inventions, the total savings would be 15% + 17% + 16% = 48%. Is this true? How much will the percent of energy save all three
- Kitchen
The kitchen roller has a diameter of 72 mm and a width of 287 mm. How many square millimeters roll on one turn?
- Gear wheels
Two gear wheels, which fit together, have the number of teeth z1=117 and z2=70. Calculate the speed of the first wheel if the second wheel rotates 582 revolutions per minute.
- Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse.
- Secret number
Find the secret number n, which reversed decreases by 16.4 if the number increases by 16.4.
- Seedcake
Seedcake costs 44 cents. How many minimum seedcakes must we buy that we can pay in cash, only whole euros?
- Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m³.
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