Math practice for 13 year olds - page 427 of 434
Number of problems found: 8670
- 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 3 and 6. Can it be a rectangle inscribed by a circle? - Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π. - 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 - Square
Calculate the area of the square with diagonal 17 cm.
- Sphere
The sphere's surface is 27100 cm², and the weight is 117.8 kg. What is its density? - Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Height 2
Calculate the height of the equilateral triangle with side 22. - 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. - Powers
Is it true for any number a,b,c,d equality:? (a-b-c-d) 6 = (d+c+b-a) 6 - Is equal
Is it equal following terms? -9 21 = (-9) 21 - 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.
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