UPDATED Math - F2 Latest 2023/2024

County Population Brookhaven 74,702 Columbus 70,472 Davidson 74,072 Washington 74,720 The chart shows the populations of four neighboring counties. Quyen lives in the county with a population of 70,000+4,000+70+2. In which county does Quyen live? A. Brookhaven B. Columbus C. Davidson D. Washington - CORRECT ANSWER Answer is C. Option (C) is correct. The question requires an understanding of how to compose and decompose multidigit numbers. The expanded form 70,000 + 4,000 + 70 + 2 corresponds to the number 74,072, which is the population of Davidson County. Which of the following is an algebraic expression? A. 6x − 4 B. 6y 4 C. 6z = 4 D. 6 + 4 - CORRECT ANSWER Answer is A. Option (A) is correct. The question requires an understanding of how to differentiate between algebraic expressions and equations. An algebraic expression is made of constants, variables, and algebraic operations. While (A) is an algebraic expression, (B) is an algebraic inequality, (C) is an algebraic equation, and (D) is a numerical expression. 2/3 ÷ 4/3 + 3/5 × (5/3)^2 Which of the following is equivalent to the expression shown? A. 2/9 B. 13/6 C. 23/9 D. 55/18 - CORRECT ANSWER Answer is B. Option (B) is correct. The question requires an understanding of how to solve problems using the order of operations. By using the order of operations and the fact that dividing is equivalent to multiplying by the inverse, the expression 2/3 ÷ 4/3 + 3/5 × (5/3)^2 can be simplified to 2/3 x 3/4 + 3/5 x 25/9. Performing both multiplications yields 1/2 + 5/3, which is equivalent to 13/6. Mary has a rectangular garden in her backyard. The garden measures 5 3/4 feet wide by 7 1/2 feet long. What is the area of the garden? A. 26 1/2 square feet B. 35 3/8 square feet C. 36 1/8 square feet D. 43 1/8 square feet - CORRECT ANSWER Answer is D. Option (D) is correct. The question requires an understanding of how to find the area and perimeters of polygons. If a rectangle has a length of l units and a width of w units, then its lxw area is square units. Since the garden has a length of 7 1/2 feet and a width of 5 3/4 feet, the area is 7 1/2 x 5 3/5 = 15/2 x 23/4 =345/8 square feet, that is, 43 1/8 square feet. Three figures are shown. From left to right the figures are labeled, first figure, second figure, and third figure. The pattern of the first figure is a triangle connected to a square, which is connected to a triangle. The figure is composed of 8 line segments. The pattern of the second figure is a triangle connected to a square, which is connected to a square, which is connected to a triangle. The figure is composed of 11 line segments. The pattern of the third figure is a triangle connected to a square, which is connected to a square, which is connected to a square, which is connected to a triangle, all connected together. The figure is composed of 14 line segments. The first three figures in a pattern are shown. The 1st figure is composed of two triangles and one square. Each figure after the 1st figure is composed of two triangles and one square more than the preceding figure. How many line segments are in the 10th figure of the pattern? A. 35 B. 38 C. 41 D. 44 - CORRECT ANSWER Answer is A. Option (A) is correct. The question requires an understanding of how to identify and extend a pattern. The first figure has 8 line segments. Adding a square to each figure is equivalent to adding 3 line segments. So the number of line segments of the nth figure can be described by the equation f(n) = 5 + 3n , with n = 1, 2, 3, ... Therefore the 10th figure of the pattern has f(n) = 5 + 3 × 10, or 35 line segments. Which of the following is a statistical question? Select all that apply. A.What is the daily high temperature for an August day in Cheyenne, Wyoming? B.How many speeches did George Washington make during his life? C.How many minutes did Hannah spend talking on her phone on August 28, 2016 ? D.What was the average number of miles a week run by the members of the Hereford High School cross-country team last month? - CORRECT ANSWER Answers are A & D. Options (A) and (D) are correct. The question requires an understanding of how to identify statistical questions. A statistical question is one that can be answered by collecting data and where there will be variability in the data collected. To answer the question in (A), one must collect the daily high temperature for each day in August. Such values will vary. To answer the question in (D), one must collect the number of miles a week run by each of the members of the team during the past month. Such values will vary. The questions in (B) and (C) can be answered simply by counting. Which word describes each angle in an equilateral triangle? A. Acute B. Obtuse C. Right D. Straight - CORRECT ANSWER Answer is A. Option (A) is correct. The question requires an understanding of how to classify angles based on their measure. An equilateral triangle is also equiangular; that is, all its angles have the same measure. Therefore, each angle has a measure of 180/3, or 60 degrees. An acute angle is an angle that measures less than 90 degrees. Therefore, the angles of an equilateral triangle are all acute. Lilly, Madelyn, Natalie, and Olivia each walked from their houses to the mall. Lilly walked 1/4 mile, Madelyn walked 3/8 mile, Natalie walked 5/6 mile, and Olivia walked 7/12 mile. Which list shows these distances in order from least to greatest? A.1/4 mi, 3/8 mi, 5/6 mi, 7/12 mi B.1/4 mi, 3/8 mi, 7/12 mi, 5/6 mi C.1/4 mi, 5/6 mi, 3/8 mi, 7/12 mi D. 7/12 mi, 3/8 mi, 5/6 mi, 1/4 mi - CORRECT ANSWER Answer is B. Option (B) is correct. The question requires an understanding of how to compare, classify, and order rational numbers. The distances can be ordered by rewriting all fractions as equivalent