Math practice for 13 year olds - page 346 of 351
Number of problems found: 7012
- 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.
- 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.
- 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.
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