Integers - practice for 14 year olds - page 2 of 4
Number of problems found: 68
- Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - Infinitely 3818
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea - 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. - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, there will be two candies and eight empty boxes left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into - 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) - One-fourth 3820
Darius said to Miloš: I think a number. If I square it to one-fourth and then multiply it by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers. - The theater
The Manila theater charged ticket prices: adults php500, students php250, and children below 12 are php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of adu - Numbers
Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum? - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Tangerines 2508
Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has. - Legs
In the room are four-legged chairs and three-legged stools, and all are fitted with (one) person. I counted all the legs in the room, and there were 39. How many are there chairs, stools, and people? - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) give remainder 4. - Diofant 2
Is equation 70x +52y = 34 solvable on the set of integers Z? - Sequence
In the arithmetic sequence, is a1=-1, d=4. Which member is equal to the number 203? - Difference 7742
The difference between the two numbers is -85. Their sum is 89. Determine these numbers. - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Difference 13903
The sum of two integers is three, and their difference is 7. Determine the unknown numbers. - Gauss
Help little C.F. Gauss sum all the integers from 1 to 400.
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