FTCE Subject Area Math Exam Questions With Verified Answers, Latest Updated 2024/2025 | 100% Correct

In the progression of mathematical knowledge and understanding, which of the following critical areas are students expected to gain mastery of last? - ANSWER Representing, relating, and operating for parts of a whole with sets of objects Analyze the sample scenario to answer the following question. There were 4 frogs in the pool. Some more frogs hopped in the pool with them. Then there were 12 frogs. How many frogs joined the 4 frogs in the pool? Which of the following describes the problem structure? - ANSWER Join, result unknown Students were asked to solve the following problem using the distributive property 42 x 8. Which of the following does not involve a correct application of the distributive property? - ANSWER 40 x 16 - 2 x 2 A child calculated a subtraction problem incorrectly and arrived at this answer 373-189=216. Which of the following statements is the most valid assessment of this error? - ANSWER The child does not have mastery of the basic facts A students work sheet is showing below: 48+26=614;97+24=1111;146+237=3713. To remediate the students errors, the teacher should.... - ANSWER Provide remedial conceptual instruction FTCE Subject Area Math Exam Questions With Verified Answers | 100% Correct A 4th grade teacher is preparing a diagnostic test on multiplication for use in mathematics class. Which set of multiplication examples is presenting in order of increasing difficulty from left to right? - ANSWER 22 x 4;13 x 6;35 x 5;246 x 3 Which of the following structured experiences would best promote students' understanding of the place value? - ANSWER Students work together to make buildings out of base blocks A teacher presents to the class the following problem. The United States Pentagon is in the shape of a regular pentagon. What is the sum of the measures of the angles of a pentagon? The problem is an example of which of the following strategies? - ANSWER Decomposing a shape What is an appropriate interpretation of the multiplication expression 4x? - ANSWER X+X+X+X Which of the following statements is true? - ANSWER A+B=C if and only if B=C-A Which of the polygons listed has the most vertexes? - ANSWER Rectangular Prism A student uses square tiles to create an array for the multiplication problem, 6 x 8. She states that she can find the product by adding the products of 6 x 4 and 6 x 4. What property is she demonstrating understanding of? - ANSWER Commutative property of addition Simplify the expression (-9)(-3)-[4-(3-6)] - ANSWER 20 What is the prime factorization of 30? - ANSWER 2 x 3 x 5 Four students were shopping at a mall. Lisa purchases a $20.00 shirt at 10% off. Tim purchases a $20.00 shirt at 20% off. Tina purchases a $25.00 at 40% off. Joe purchases a $25.00 shirt at 30% off. Who paid the most for the shirt? - ANSWER Lisa The 5th grade classes at an elementary school set a goal to read 250 books by the end of the school year. According to the following table. Which class is closest to the goal after 3 months? - ANSWER Class D A group of students are working on a project. They complete 30% of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project? - ANSWER 40 Hours A group of volunteers are clearing brush away from an overgrown park. The park covers 3 1/4 acres. If the group clears 1/2 acre every 4 days, how many days will it take them to clear the entire park? - ANSWER 26.0 Which item below has a weight in about 1 kilogram? - ANSWER Textbook Which of the following measures of central tendency is affected by one or two extremely large or extremely small values outside of the range of the rest of the data? - ANSWER Mean An individual leaves home for work at 7:52 a.m. and arrives home from work at 4:31 p.m. How much time elapsed before the individual returned home? - ANSWER 8 hours 39 minutes Two students start at the same point and run in opposite directions. The first student runs 10 feet per second to the left for 8 seconds. The second student runs 8 feet per second to the right for 7 seconds. How many feet apart are the two students after they both stop? - ANSWER 136 feet Estimate the length of a U.S. Dollar bill - ANSWER 15 cm Which of the following figures is a trapezoid? - ANSWER _____ |_____ Which point is closest to the point located at (3.4) - ANSWER (3,7) Two match boxes can be stacked in two different ways as shown in figures A and B. The bases are identical. Which of the following statements is correct? - ANSWER Figure A has more outer surface area than figure B Which of the following figures has at least online of symmetry? - ANSWER The figure that be split evenly down the middle ________ |_______ The following is a student solution method 18 x 3 18 + 2 - 20 x 3 - 60 2 x 3 = 6 60 - 6= 54 What method did the student use to solve the multiplication problem? - ANSWER Comprehension A child calculated a subtraction problem incorrectly and arrives at the following answer. Which of these statements is the most valid assessment of this error? 782 -146 544 - ANSWER The student does not have master of the basic subtraction facts The following amounts are the weekly wages of 7 employees of a company. $180, $240, $360, $714, $300, $250 Determine the ranges of the wages - ANSWER 534 Which of the following structured experiences would promote students' understanding of place value? - ANSWER Students gather a large number of objects and count by making groups of ten Which of the following is the LEAST effective strategy to develop conceptual understanding of multiplication? - ANSWER Memorizing A 2nd grade class is solving the expression 53 + 27. A teacher is reviewing a students work and sees the following: Strategy 1: 53 + 27 = (50 + 20)+(3 + 7) =70 + 10 80 Strategy 2: 53 + 27 =(53 - 3)+(27 + 3) =50 + 30 =80 Which component of mathematics fluency has the student displayed in her work? - ANSWER Flexibility A recipe for 24 oz hamburger will make 8 oz serving of chili. How many ounces of hamburgers will be needed to make 28 servings of chili? - ANSWER 84 Which of the following expressions gives the solution to the statement below? A recipe for making 2 dozen cookies requires 3/4 cup of sugar. To make 6 dozen cookies, how much sugar is needed? - ANSWER 3 x 3/4 An elementary school is collecting soda cans to raise money for a school project. The students collected 23 cans the first week. In the second week, they collected 42 more cans than the first week. For the remaining weeks they collected 42 more cans each week than the previous week. Which of the following charts shows the data they recorded? - ANSWER Chart C The number of loaves of bread sold is inversely related to the cost of a loaf of bread. if the cost doubles, the number of loaves of bread sold will... - ANSWER Drop by half A student working as a sales clerk at a local store earns $12 per hour and 3 percent commission of all sales made. If the student works for h hours and makes s dollars of sales, which of the following expressions represents the total amount of money the student earns? - ANSWER 12h + 0.03s A jar contains five more quarters than dimes. If it contained a total of $2.30, which of the following equations can be used to determine the number of quarters in the jar? - ANSWER 0.10x + 0.25(x + 5)= 2.30 EMAIL ME: For help with report, Assignment, Essay and thesis writing A teacher wrote the following problem on the board for her students to analyze. 3(2x-5)-6(x-2) 6x-15-6x+12 The teacher then reminds the students that the first step to take is to remember that parenthesis involve which of the following properties? - ANSWER Distributive Simplify the following: 90 - 60 - 30 + 10 - ANSWER 10 Simplify the following: 96 / 4^2 + (4 x 2)- 15 - 3 - ANSWER -4 A student ran an average of 6 miles per hour for 30 minutes. How many miles did he run? - ANSWER 3 Miles A student used centimetres grid paper to draw an array. Then the student drew the same array rotated 90 degrees as shown: What property is being illustrated by the arrays on the grid? - ANSWER Commutative property of multiplication