6th grade math practice3/20/2023 ![]() A: A histogram is a way of graphically representing the distribution of a data set. Since we know the range is 8, 4 could not be a value in the set.ĩ. If one value was 4, there has to be a value greater than 12 to ensure the average stays 12, and the difference between that value and 4 would be more than 8. Since the range of this set is 8, all values in the set have to be greater than 4. The range of a data set is the difference between its largest and smallest values. Therefore, unless all of the values in the set are 12 (and you know they are not because the range is 8), some of them must be less than 12 and some must be more than 12. A: The mean of a data set is its average. Since the triangle is a right triangle, you can use the horizontal leg for the base and the vertical leg for the height:Ĩ. B: The area of a triangle is given by the formula A = ½ bh , where b is the base of the triangle and h is the height of the triangle (drawn as a line perpendicular to the base). The only x to choose less than 3 is 2, so A is correct.ħ. Divide both sides by 3 to get 3 > x, or x < 3. Since 13 > 10 is true, the correct answer is x = 2.Īlternatively, subtract 2x from both sides of the inequality to get 9 > 5x – 2x, which is equivalent to 9 > 3x. To determine which choice is a solution to the inequality 9 + 2x > 5x, substitute each one for x in the inequality and simplify the result to see if the inequality is true. A: A solution to an equation or inequality is a value of the variable(s) that makes the equation or inequality true. Subtract to find the value in the parentheses and then divide 24 by the result of that subtraction:Ħ. C: According to the order of operations (PEMDAS), evaluate any quantities or expressions in parentheses first. (Note that a balance of -40 means that you owe $40, which would be a decrease in your debt.)ĥ. Therefore, -60 could be your new balance. If, for instance, your debt increases by $10, it becomes $60 and your account balance becomes -60. D: An increase in the amount of your debt means you owe more than $50. Since 24 is the smallest number in both lists, the LCM of 8 and 12 is 24.Ĥ. One way to find the LCM of 8 and 12 is to list their multiples, and choose the smallest number that appears in both lists. B: The least common multiple (LCM) of two integers is the smallest (or least) integer that is a multiple of both numbers. Thus, 40% is equivalent to 40 parts out of 100, or 40/100. ![]() C: A percent represents one part out of 100. Since we are told that the population of New York is about twice that of Paris, there are about two New Yorkers for every Parisian. In the given problem, we are looking for ratio between the populations of two cities. For instance, if the ratio of apples to oranges in a basket is 3:2, then the basket contains 3 apples for every 2 orange. D: A ratio is a relationship between two numbers of the same type. What unit of measure would be appropriate to use when investigating the attendance of nine different Broadway shows?ġ. ![]() Which of the following values could NOT be value in the set?ĩ. The mean of a data set is 12, and its range is 8. Calculate the area of the right triangle below.Ĩ. Which of the following is a solution to the inequality 9 + 2x > 5x?ħ. Which of the following could be your new balance?Ħ. A monthly charge increases the amount of your debt. The balance on your savings account is -50, which means that you have $50 of debt. What is the least common multiple (LCM) of 8 and 12?Ĥ. Write the ratio of the population of New York to the population of Paris.ģ. The population of New York is about twice that of Paris. Common Core Grade 6 Mathematics Exam Study Guide with Practice Questions 1.
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