Benchmark Test : Grade 7 Math. Class/Grade
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1 Name lass/grade ate enchmark: M.7.P.7. enchmark: M.7.P.7. William tossed a coin four times while waiting for his bus at the bus stop. The first time it landed on heads. The second time it landed on tails. The third and fourth time it landed on heads. f he were to toss the coin a fifth time, what are the chances that it will land on tails? Jared selects a shape at random from a collection of squares and circles. rom which collection of shapes does Jared have the greatest probability of selecting a square? 5 G Progress Testing Page
2 enchmark: M.7.P.7. The spinners below are used in a game. f you spun each of them 00 times, which spinner will most likely give you the highest average score? spinner spinner spinner same chance with spinner,, and enchmark: M.7.P.7. The football team's cooler is stocked with four varieties of drinks: colas, 9 red sports drinks, 6 blue sports drinks, and 5 diet colas. What is the probability that a drink randomly selected from the cooler by one of the players will be a sports drink? 6 G Progress Testing Page
3 5 enchmark: M.7.P.7. 6 enchmark: M.7.P.7. The players of a board game use the spinner below to determine how many questions they have to answer in each round. The class treasure box contains: red, white, and blue pencils rainbow pencils glow-in-the-dark pencils 5 animal-shaped erasers 9 bouncy balls f you pick one item from the box without looking, which fraction shows the chances of picking a pencil from the treasure box? 6 One of the players spins the spinner. Which of the following is true? t is impossible for the arrow to land on the number. t is less likely that the arrow will land on the number than on the number. The arrow landing on the number is equally likely as the arrow landing on the number. t is more likely that the arrow will land on the number than on the number. G Progress Testing Page
4 7 enchmark: M.7.P.7. 9 enchmark: M.7.P.7. n Joshua's neighborhood, many families have pets. Of the 0 families, 8 families have only dogs, families have only cats, families have both dogs and cats, and 6 families have no pets. f one family in Joshua's neighborhood is chosen at random, what is the probability that the family will have a dog? Ralph bought an oddly shaped coin at the toy store. e wanted to know if the coin was fair if the probability of it landing on heads was equal to the probability of it landing on tails. e conducted a probability experiment by seeing how many tails in a row he could flip. The results of 00 trials are shown in the table below enchmark: M.7.P.7. bowl contains 7 red candies and green candies. f a child chooses candy without looking, what is the probability that the candy will be red? 0 G 0 Ralph concluded that the coin was not fair. ow is Ralph's coin unfair? t is slightly more likely to land on heads than on tails. t is about twice as likely to land on heads than on tails. t is slightly more likely to land on tails than on heads. t is about twice as likely to land on tails than on heads Progress Testing Page
5 0 enchmark: M.7.P.7. enchmark: M.7.P.7. ob is one of twenty finalists in a random drawing to win a vacation. What is the probability that ob will be selected from among the 0 finalists? 0.0 G 0.05 Sam separated a box into 00 squares with dividers of equal height. marble tossed into the box has an equal chance of falling into any of the squares. Sam also painted some squares gray to form three patterns: two rectangles and an upside-down T enchmark: M.7.P.7. t a alloween party at the local oys and Girls lub, attendees get to choose one candy item from a grab bag with their eyes closed. n the grab bag are 5 chocolate bars, 7 bags of gummi bears, 6 boxes of raisins, 5 bags of hard candy, and boxes of chocolate-covered peanuts. What is the probability that an attendee will pull out a chocolate bar from the grab bag? 6 f you toss a marble into Sam's box, what is the probability that it will fall into one of the squares that forms the upside-down T? G Progress Testing Page 5
6 enchmark: M.7.P.7. enchmark: M.7.P.7. six-sided number cube has the numbers through 6 on the sides. f you toss the cube once, what is the probability that it will land on an odd number? The sales rack in the women's clothes department of a department store contains sweaters. The sizes and colors of these sweaters are given in the table below. 6 6 What is the probability that a sweater randomly selected from the sales rack is black and size medium? G Progress Testing Page 6
7 5 enchmark: M.7.P.7. 6 enchmark: M.7.P.7. aniel flipped a coin 0 times. Each time the coin landed on "tails." Which of the following statements must be true? The next time aniel flips the coin, it will most likely land on "heads". The next time aniel flips the coin, it will most likely land on "tails". The next time aniel flips the coin, it has an equal chance of landing on "heads" or "tails". The coin will most likely land on "heads" the next 0 times it is flipped. Luke selects a shape at random from a collection of squares and circles. rom which collection of shapes does Luke have the greatest probability of selecting a circle? G Progress Testing Page 7
8 7 enchmark: M.7.P.7. 8 enchmark: M.7.P.7. sporting goods store has 0 baseball caps on sale. The sizes and colors of the caps are given in the table below. The bags shown below contain black and white marbles. rom which bag will a student have the greatest probability of randomly selecting a black marble? G What is the probability that a randomly selected cap is yellow and size large? Progress Testing Page 8
9 9 enchmark: M.7.P.7. 0 enchmark: M.7.P.7. The seventh-grade class raises money by selling snacks at school dances. The class president took a survey to find out which snacks students are most likely to buy. The results of the survey are shown in the table below. eion has twelve coins in a bag. There are quarters, 6 dimes, nickels, and one penny. f Manuel picks one coin from the bag without looking, what are the chances he will pick a dime? G 8 ased on the survey results, what is the probability that a student selected at random would buy nachos? Progress Testing Page 9
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