Divisibility - high school - practice problems - last page
Number of problems found: 69
- Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 275 tiles. - Segments
Line segments 69 cm and 3.7 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide? - Package
The package has no more than 66 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left to remain. On the one blouse consumes 1.3 m of cloth and on one dress 5 m. Determine the amount of the cloth in the package. - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16.
- Chebyshev formula
To estimate the number of primes less than x Chebyshev formula is used: Pi(x) = 1.11 (x)/(ln x). Estimate the number of primes less than 30300537. - Quadrant
In what quadrant is a -1165° angle? - No. of divisors
How many different divisors have number 13 4 * 2 4? - Diofant 2
Is equation 70x +52y = 34 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)
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