Math practice for 13 year olds - page 358 of 364
Number of problems found: 7273
- Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Its common chord is long 11 cm. What is the distance of the centers of these circles?
- Map
Forest has an area of 36 ha. How much area is occupied by forest on the map at scale 1:500?
- Wire
One pull of wire is reduced by its diameter by 14%. What will the wire diameter be with diameter 19 mm over 10 pulls?
- Estate
An estate-shaped rectangular trapezoid has bases long 35 m, 65 m, and perpendicular arm 34 m. Calculate how long its fence is.
- Raffle
In the pool number from 1 to 115. What is the probability that a randomly selected number is not prime?
- One half
One-half of 2 63 is: ...
- Strange x
For what x is true x=19x?
- Gauss
Help little C.F. Gauss sum all the integers from 1 to 400.
- Circumscription
Calculate the radius of the Circumscribed circle in the rectangle with sides 20 and 19. Can it be a rectangle inscribed by a circle?
- Money
Everyone complains about the lack of money. There is no shortage of money but a relative scarcity of goods and things people buy for the money. Calculate what percentage of the price of all goods and services immediately rose if everyone has the day-to-da
- Sphere
The sphere's surface is 28500 cm², and the weight is 34.2 kg. What is its density?
- Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
- Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle?
- Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon?
- Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z?
- Diofant equation
In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
- Reciprocal
It is true (prove it) that if a > b > 0: (1)/(a)< (1)/(b)
- Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many towels were there?
- Binomials
To binomial 36x²-168x, add a number to the resulting trinomial be square of the binomial.
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