# 2017 State Competition Sprint Round Problems 1 30-Books Download

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inches If the total area enclosed by the seven congruent squares shown is 112 in2 what. is the perimeter of the outer polygon, 2 Sasha added all but one of the first ten positive integers together Her sum is a. square number Which integer did Sasha not include,3 If 2 what is the value of. For every 50 worth of supplies Bill buys at a local hardware store he receives. a 5 discount If Bill bought 846 worth of supplies from this store what was. the cost after the discounts were applied, 5 Ayasha Beshkno and Chenoa were all born after 2000 Each of them was born. in a year after 2000 that is divisible by exactly one of the prime numbers 2 3 or. 5 Each of these primes is a divisor of one of the birth years What is the least. possible sum of their birth years, Copyright MATHCOUNTS Inc 2016 All rights reserved 2017 State Sprint Round. degrees The grade of a ski slope is the ratio of the vertical drop to. the horizontal distance What is the measure of the angle. between the ski slope and the vertical as shown of a. ski slope whose grade is 100, percent Jeff has been collecting string and has wound it into a sphere with a diameter of.
in base 3 and as a 3 digit number in base 4, Copyright MATHCOUNTS Inc 2016 All rights reserved 2017 State Sprint Round. 16 If x and y are integers such that x 3 2 y 4 2 25 what is the greatest. possible value of x 2 y 2, 17 A positive integer q is the product of a prime number and a perfect square. Additionally q is the product of a different prime number and a perfect cube. What is the least possible value of q,18 If 1 and 2 what is the value of x. 2 x y 3 2 x y 3, 19 A pole of radius 1 inch and height h inches is perpendicular to the ground A. snake is coiled around the pole in a spiral pattern making a 60 degree angle. with the ground If the snake is 9 inches long and reaches from the ground to. the top of the pole then h can be written in the form a b where a is a rational. number and b is a positive integer that is not divisible by the square of any. prime What is the value of a b Express your answer as a common fraction. 34 43 24 33 23, 20 The median of the five numbers 2 2 3 4 and 4 is equal to.
solutions All rounding should be done at the end of the computation process. Scientific notation should be expressed in the form a 10n where a is a decimal 1 a 10 and n is an. integer Examples, Problem What is 6895 expressed in scientific notation Answer 6 895 103. Problem What is 40 000 expressed in scientific notation Answer 4 104 or 4 0 104. An answer expressed to a greater or lesser degree of accuracy than called for in the problem will not be. accepted Whole number answers should be expressed in their whole number form. Thus 25 0 will not be accepted for 25 and 25 will not be accepted for 25 0. The plural form of the units will always be provided in the answer blank even if the answer appears to.

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