Progress Probe #1274630: TCAP Math Probe #3 (Grade 06 MA) March 19, 2011 6:08 pm Teacher Key with Answers Ques Answer Level Skill Subskill Item # 1 D Easy Number and Operations SPI 0606.2.1 2 B Easy Number and Operations SPI 0606.2.1 3 B Easy Number and Operations SPI 0606.2.1 4 D Moderate Number and Operations SPI 0606.2.1 5 C Moderate Number and Operations SPI 0606.2.1 6 A Moderate Number and Operations SPI 0606.2.1 7 C Hard Number and Operations SPI 0606.2.1 8 B Hard Number and Operations SPI 0606.2.1 9 A Hard Number and Operations SPI 0606.2.1 D18748 D19220 D52678 D81408 D70482 D111077 D110055 D88963 D81395 Page 1 of 13
10 C Easy Number and Operations SPI 0606.2.2 11 B Easy Number and Operations SPI 0606.2.2 12 C Easy Number and Operations SPI 0606.2.2 13 A Moderate Number and Operations SPI 0606.2.2 14 C Moderate Number and Operations SPI 0606.2.2 15 D Moderate Number and Operations SPI 0606.2.2 16 D Hard Number and Operations SPI 0606.2.2 17 D Hard Number and Operations SPI 0606.2.2 18 B Hard Number and Operations SPI 0606.2.2 19 D Easy Number and Operations SPI 0606.2.7 20 D Easy Number and Operations SPI 0606.2.7 21 B Easy Number and Operations SPI 0606.2.7 D56026 D65841 D72128 D67971 D18010 D18209 D53389 D57406 D72129 D60041 D62710 D101304 Page 2 of 13
22 D Moderate Number and Operations SPI 0606.2.7 23 C Moderate Number and Operations SPI 0606.2.7 24 B Moderate Number and Operations SPI 0606.2.7 25 B Hard Number and Operations SPI 0606.2.7 26 C Hard Number and Operations SPI 0606.2.7 D101306 D101305 D71079 D101307 D56141 Page 3 of 13
Name: Date: TCAP Math Probe #3 Question 1 of 26 When working with fractions, which statement below is true? A. You must always find a common denominator before working any type of problem that contains a fraction. B. You must always cross cancel before working any type of problem that deals with fractions. C. You need to cross cancel when adding or subracting. D. You need to find a common denominator when adding or subtracting. Question 2 of 26 Look at the steps outlined below. 1. change each mixed number to an improper fraction 2. keep the first fraction 3. change the sign from to 4.cross cancel if possible. 5. multiply straight across 6. change any improper fraction to a mixed number and reduce What place does the following step correctly fit in the steps to divide mixed numbers? Invert the second fraction A. between steps 1 and 2 B. between steps 3 and 4 C. between steps 4 and 5 D. after step 5 Question 3 of 26 1 Page 4 of 13
A. B. 3 C. 3 D. 4 E. NH Question 4 of 26 You need to cut a 10 ft board into 2 ft lengths. How many pieces can you cut? A. 25 B. 20 C. 5 D. 4 Question 5 of 26 You have 2 pizzas to serve at a party. Each person will eat one slice of pizza. How many people will eat if each slice is of a pizza? A. 6 B. 8 C. 10 D. 12 Page 5 of 13
Question 6 of 26 Which of the following groups of statements correctly explains how to divide fractions? A. Change the " " sign to " ". Invert (flip) the fraction to the right of the multiplication sign to form its reciprocal. Multiply the numerators (top numbers). Multiply the denominators (bottom numbers). Re-write your answer in its simplified or reduced form, if needed. B. Change the " " sign to " ". Invert (flip) the fraction to the left of the multiplication sign to form its reciprocal. Multiply the numerators (top numbers). Multiply the denominators (bottom numbers). Re-write your answer in its simplified or reduced form, if needed. C. Change the " " sign to " ". Multiply the numerators (top numbers). Multiply the denominators (bottom numbers). Invert (flip) the fraction to form its reciprocal. Re-write your answer in its simplified or reduced form, if needed. D. Change the " " sign to " ". Multiply the numerators (top numbers). Multiply the denominators (bottom numbers). Re-write your answer in its simplified or reduced form, if needed. Question 7 of 26 How can you use 24 to help find the solution to 24? A. Since 24 = 4, you can add 4 and 5 to find the answer. Page 6 of 13
B. Since 24 = 4, you can subtract 4 from 5 to find the answer. C. Since 24 = 4, you can multiply 4 by 5 to find the answer. D. Since 24 = 4, you can divide 4 by 5 to find the answer. Question 8 of 26 Solve: A. B. C. D. Question 9 of 26 A rock climber needs to buy new rope. The rope she buys is 103 feet long. How many lengths of rope that are 20 feet long can she make out of it? A. 5 B. 5 C. 5 D. 6 Question 10 of 26 8 + 2 = Page 7 of 13
A. 10 B. 9 C. 10 D. 6 Question 11 of 26 Find the sum in simplest form. + 1 = A. 1 B. 1 C. 1 D. 1 Question 12 of 26 Find the sum in lowest terms. A. 3 B. 4 C. 5 D. 5 Page 8 of 13
Question 13 of 26 Simplify. Write your answer in simplest form. + 2 A. 3 B. 1 C. 2 D. 1 Question 14 of 26 This chart is on a bag of puppy food. How much food will a 25 pound puppy require in one week? A. B. 7 cups C. D. 15 cups Question 15 of 26 Find the product and express as a mixed number. 5 x 3 Page 9 of 13
A. B. 8 C. 15 D. 18 Question 16 of 26 Solve 3-1 A. 2 B. 2 C. 2 D. 1 Question 17 of 26 7 + 5 = A. 1 B. 7 C. 13 D. 13 Question 18 of 26 Find the difference in lowest terms. Page 10 of 13
A. 1 B. 1 C. 2 D. 2 Question 19 of 26 On the number line below, which point best represents -? A. Point A B. Point B C. Point C D. Point D Question 20 of 26 Find the location of points B and C on the number line. A. -4, 0 B. +5, +8 C. -5, +4 D. +5, -4 Page 11 of 13
Question 21 of 26 Which answer is NOT a rational number? A. 0/1 B. 2 C. 6/1 D. 2/3 Question 22 of 26 Which of the following ratios does NOT represent a rational number? A. 1 : 2 B. 2 : 2 C. 2 : 4 D. 4 : 0 Question 23 of 26 Which operation will result in a number that is NOT a rational number? A. (3 + 5) / (2 + 2) = B. ( 6 + -6) / (2 3) = C. (2 3) / ( 6 + -6) = D. (2 + 2) / (3 + 5) = Question 24 of 26 Look at the number line. Approximately what number does the arrow marked "N" point to? Page 12 of 13
A. 3.625 B. 2.625 C. 2.225 D. 1.23 Question 25 of 26 It takes Fred 2 hours to do a job. It takes Mary 5 hours to do the same job. If Fred and Mary did the job together, how long would it take them to do the job? A. 7/10 hours B. 10/7 hours C. 7 hours D. 10 hours Question 26 of 26 Which point represents 50%? A. A B. B C. C D. D Copyright Discovery Education Assessment 2011. Proprietary Information. All rights reserved. Discovery Education Page Page 13 of 13