Kansas City Area Teachers of Mathematics 2015 KCATM Math Competition. Numbers and Operations GRADE 5 NO CALCULATOR

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1 Kansas City Area Teachers of Mathematics 05 KCATM Math Competition Numbers and Operations GRADE 5 NO CALCULATOR INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 5 minutes You may NOT use calculators on this test. Some multiple-choice questions do not have the correct answer as one of the choices. On those questions, the response is e) None of the above Ex: + = B. 5 C. 6 D. If a division problem has a remainder (for instance 5 =??), the answer is in this form: r. The answer may also be a decimal value. All fractions are expressed in lowest terms. All answers that are improper fractions are written as mixed numerals or whole numbers. i.e. should be written as should be written as Student Name Student Number School

2 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE. Round 65. to the nearest tenth. 65 B. 0 C. 65. D Base 0 means that every digit to the left of a digit is 0 times greater than that digit and every digit to the right of a digit is /0 the value of that digit. Using the number 65., what is the value of the digit 6 compared to the value of the digit in the number? The value of the digit 6 is twice the value of the digit in the number. B. The value of the digit 6 is ten times the value of the digit in the number. C. The value of the digit 6 is /00 the value of the digit 6 in the number. D. The value of the digit 6 is 00 times the value of the digit in the number.. Choose the correct expanded form for: (/0) + 9 (/00) + (/000) B (/0) + (/00) + 9 (/000) + (/0000) C., (/0) + (/00) D. 00, , , Choose the correct statement based on place value using the symbols <, =, or >.. >.5 B.. <.6 C. 0.6 = 0.5 B. 5. > Divide: B. 60 C. D Multiply: 6 x B. C. 5 D. 6. Which model does NOT give you the correct answer to the multiplication of 5 x B. (5 x 0) + (5 x 6) C.(0 x 6) + (5 x 6) D. (5 x 5) + ( x 5). The square root of is between: 6 and B. and C. and 9 D. 9 and 0 PAGE

3 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE 9. Use the number line above to identify the mathematics operations that it could be showing. i. x 6 ii. 6 x iii iv i. only B. ii. only C. iii. only D. iv. only E. All of the above 0. Evaluate: B. C. D.. What fractional part is NOT shaded in the hundreds chart below? 5 6 B. 5 C. 9 D. 5. Which of these numbers divided by has reminder of 0? 5 B. 6 C. 9 D. 65. Which of the following addition problems is NOT correct reasoning? / + 5/ = / + 5/ = / B. / + / = / + / = 5/ C. /9 + 9/ = / = D. /5 + / = /5 + 0/5 = /5. Rio is making the pieces for a large Jenga puzzle to play outside. Fifty-four total pieces are needed. Rio is buying just enough foot long boards to be able to cut the boards into foot long pieces. Find the cost of the boards Rio must purchase if the cost of each board is $. $ B. $0.50 C. $0 D. $5 PAGE

4 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE 5. Which fraction is the largest? 5,,,, B. C. 5 D. 6. Use number sense to determine the correct reasoning below that makes the answer to this problem wrong? /5 + / = / / < /, therefore it couldn t be the sum of /5 and /. B. / > /, therefore it couldn t be the sum of /5 and /. C. / > /5, therefore it couldn t be the sum of /5 and /. D. / = /, therefore it couldn t be the sum of /5 and /.. Which shaded array shows / x /? B. C. D.. 6,00 0 = 0 B. 0 C. 60 D ,000, =,00 B.,00 C. 5,00 D.,00 0. You want to buy a pair of basketball shoes. The advertisement says 0% off the original price. If the original price of the pair of shoes is $, what would be the discount? $.6 B. $.60 C. $.0 D. $5.0 PAGE

5 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE. 5 5 = (Simplify your answer to a reduced mixed number.) 6 B. C. 9 D. 0. A carpenter has a trim board 6 feet long. The carpenter wants to cut the board into pieces that are each of a foot long. Which expression shows how to do this? 6 x B. 6 C. 6 + D What is the answer to the following lattice operation? 0,06 B.,06 C. 05,060 D.,6. What is 59 x 0.0 =,0 B.. C. 0. D.. 5. x 6 (5 + ) + ( - 5) =. B. C. D B. 0.5 C D x.. B.. C. 0. D. PAGE

6 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE. Allie, Ben, and Caleb just inherited some money from their grandpa. Each will get / of the inheritance, N. Each will put 5% of their inheritance into an account for college. Which statement does NOT show the amount that will go into the college account? N X B. N C. N X 0.5 N D. X x 0 65 B. 650 C. 6.5 D = B. C. D r B. r 6 C. r D. 5 r 6. B. 5 C. 6 D B. C. D. 9. Pi Day was special this year. Which is NOT an approximate value of π? / B.. C..5 D E. All are approximations PAGE 5

7 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE 5. To find the total cost of a purchase, the clerk could take 00% + % if the tax for that city is %. That means that the total cost could be found by taking.0 times the cost. Find the total cost of a purchase of $0. $9.60 B. $.0 C. $.0 D. $ What is the prime factorization of 0? x x 5 B. x x 0 C. x 5 D. x x 5. Find the selling price of an I-Phone that costs $60 and then is marked up 0% because of demand. $ B. $0 C. $0 D. $. What is the approximate value (to the nearest tenth) of?. B..5 C..6 D.. In each of the next two questions, there are four calculations, of which one may be incorrect. Find the incorrect calculation, if any = 5. B. 60 = 50.5 C.,000 6,9 =, D. 90 x 5 = 050 E. / of 5 = 5 0. $5.9 B. $06. $ $5.9 $9.6 $ 0. + $9. $. C. 5 6 D. 5% of 5 =. E PAGE 6

8 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE Shade the correct answer! Example: A B C D E Name School. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 5. A B C D E 5. A B C D E 6. A B C D E 6. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 9. A B C D E 9. A B C D E 0. A B C D E 0. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 5. A B C D E 5. A B C D E 6. A B C D E 6. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 9. A B C D E 9. A B C D E 0. A B C D E 0. A B C D E Shade the correct answer! Name PAGE

9 05 KCATM NUMBERS AND OPERATIONS 5TH GRADE Example: A B C D E ANSWER KEY..5 (JH) School. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 5. A B C D E 5. A B C D E 6. A B C D E 6. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 9. A B C D E 9. A B C D E 0. A B C D E 0. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 5. A B C D E 5. A B C D E 6. A B C D E 6. A B C D E. A B C D E. A B C D E. A B C D E. A B C D E 9. A B C D E 9. A B C D E 0. A B C D E 0. A B C D E PAGE