


8th Grade Worksheet6
Here is 8th grade worksheet6.
2.A rectangle has been divided into congruent squares such that the sum of the perimeters of the squares is numerically equal to the area of the rectangle. What is the length of a side of one of the squares?
3.Jack has challenged the math team to a math duel. For each question of the duel, Jack must give exactly one answer. Each member of the math team may also give one answer, and if at least one math team member gives the correct answer, the math team gets the question right. Jack has a 31 /32 chance of answering any given question correctly, while each member of the rest of the math team has a 1/2 chance of getting any given question correct. Find the number of math team members that should answer a question so that the math team has exactly the same probability of answering the question correctly as Andrei does.
4.Mr. Ronald starts on the coordinate plane at the origin (the point (0, 0)). Each move, he randomly chooses one of the following four directions and moves one unit in that direction: up (positive ydirection), down (negative ydirection), left (negative xdirection), or right (positive xdirection). In how many ways can he end at the point (2, 0) after 25 such moves?
5.Jim and Ken play a game. They toss coins one at a time until either the sequence headstails or tailstails comes up. If the sequence is headstails, Jim wins. If the sequence is tailstails, Ken wins. What is the probability that Jim wins?
6.Each term of the Fibonacci sequence is equal to the sum of the previous two terms. That is, an = a_{n1} + a_{n2} for all n greater than or equal to 3, where an is the nth term in the sequence. If the second term in the sequence is 4 and the ninth term is 110, what is the first term in the sequence?
7.How many positive divisors does {[(2^{0} · 3^{1})^{2} · 4]^{3} · 5}^{4} have?.
8.Rhodes, Watson, Rambo, Peter, Mark and Dwayne are standing in a line with their backs to a wall. How many different orders could they be standing in so that Rhodes and Dwayne are standing next to each other?
9.If x=5 then find the value of x^{2}5
10. A Teacher has given class five homework assignments. Jackson only has done three of these assignments. The teacher picks two assignments at random to check, out of the five she gave. What is the probability that Jackson has done both of the assignments that the teacher checks?
8th grade worksheet6 answers:
2. 4 3. 5 4. 1 5. 3/4 6. 2 7. 3125 8. 240 9. 20 10. 3/10

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