Worksheet E KMA 8th Grade:

KANSAS MATH ASSESSMENT prep Name______

For the following questions you do not need to restate the questions, but you do need to show your work on all that work is possible for (be certain to indicate how you knew the answer).

  1. (2.2.a1) 1 points. Greg has 6 CDs of popular groups in his collection. His goal is to have more than 12 CDs. His parents have decided to help him add to his collection by buying him 2 CDs each month he does his laundry. Which statement will help Greg determine the number of months (m) he must do his laundry to reach his goal?

a. 6 + m > 12b. 6 + 2m > 12c. 2m – 6 > 12d. 6 + 0.5m > 12

  1. (3.1.k6) 2 points. The legs of a right triangle are 6 inches and 12 inches long. What is the length (rounded to the nearest tenth) of the hypotenuse of this triangle? (a2 + b2 = c2)
  1. (3.1.k6) 2 points. One leg of a right triangle is 9 inches long. The other leg of the triangle is 15 inches long. What is the length (rounded to the nearest tenth) of the hypotenuse? (a2 + b2 = c2)
  1. (3.1.k6) 2 points. The sides of triangle ABC measure 5, 12, and 13 units. The sides of triangle DEF measure 10, 24, and 39 units. Which statement about the triangles is true? (a2 + b2 = c2)

a. Both triangles are right triangles.b. Only triangle ABC is a right triangle.

c. Neither triangle is a right triangle.d. Only triangle DEF is a right triangle.

  1. (4.1.a4) 2 points. A special deck of cards consists of green cards and yellow cards. The probability of randomly selecting a green card from the deck is 3/8. If there are 120 cards in the deck, how many yellow cards are in the deck?
  1. (4.1.k3) 2 points. There are three times the number of orange fish as blue fish in a tank at the pet store, and there are no other fish in the tank. If Kaya randomly pulls out one fish from the tank, what is the probability that it is orange? Express your answer as a percent.
  1. (4.1.k3) 4 points. A plastic bag contains 6 green marbles and 4 yellow marbles. A nylon bag contains 8 green marbles and 2 yellow marbles. Write the following probabilities as fractions.

A. a green is selected from the plastic bag and a yellow is selected from the nylon bag.

B. with replacement, two greens are selected one after the other from the plastic bag.

C. without replacement, two yellows are selected one after the other from the nylon bag.

  1. (4.2.k3) 1 point. The box-and-whisker plot below shows the speed of the 25 fastest roller coasters in the world. What is the largest possible number of roller coasters that could have a speed greater than 80 mph?

05-06 MC WU10-1

  1. (1.4.a1) 2 points. Each curve in the logo is a semicircle with a radius of 8 cm. What is the area of the logo? Express your answer in terms of π, in other words don’t finish by multiplying by either 22/7 or 3.14 just leave your answer looking like this; 45π.

05-06 MC WU10-2

  1. (1.1.k5) 2 points. NO CALCULATOR. What is true about the product of ½ and a number greater than zero but less than one? Defend your choice by showing an example.

a. It will be less than 0.5b. It will be equal to 0.5

c. It will be greater than oned. It will be greater than 0.5, but less than one.

  1. (1.1.k5) 2 points. NO CALCULATOR. What is true about the quotient, -10 ÷ ½ ? Defend your choice by showing an example.

a. It is less than -10b. It is greater than 10.

c. It is greater than -10, but less than zero.d. It is greater than ½, but less than 10.

  1. (2.4.a2) 1 point. The Smith family tracks their expenses every month compared to their monthly net income (n). The amount they plan to spend on auto insurance (m) every month is going to increase 8 percent. They incorrectly wrote the following expression to determine the new monthly expense for auto insurance. 0.08m Which mistake did the Smith family make?

a. The expression only calculates the amount of increase; they forgot to add the current amount

spent on auto insurance.

b. They multiplied .08 by m instead of adding 0.08 to m.

c. They confused the variable and should have multiplied 0.08 by n and not by m.

d. They should have multiplied by 8 rather than 0.08.

  1. (3.1.a1) 1 point. Which pair of models shows that the scale of object X to object Y is 1 : 3 ?

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