T M S C A M I D D L E S C H O O L M A T H E M A T I C S R E G I O N A L T E S T M A R C H 9,

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1 T M S C A M I D D L E S C H O O L M A T H E M A T I C S R E G I O N A L T E S T M A R C H 9, 0 GENERAL DIRECTIONS. Aout this test: A. You will e given 0 minutes to tke this test. B. There re 0 prolems on this test.. All nswers must e written on the nswer sheet/scntron form/chtsworth crd provided. If you re using n nswer sheet e sure to use BLOCK CAPITAL LETTERS. Clen ersures re necessry for ccurte grding.. If using scntron nswer form e sure to correctly denote the numer of prolems not ttempted.. You my write nywhere on the test itself. You must write only nswers on the nswer sheet.. You my use dditionl scrtch pper provided y the contest director.. All prolems hve ONE nd ONLY ONE correct [BEST] nswer. There is penlty for ll incorrect nswers. 7. Clcultors MAY NOT e used on this test.. All prolems nswered correctly re worth FIVE points. TWO points will e deducted for ll prolems nswered incorrectly. No points will e dded or sutrcted for prolems not nswered. 9. In cse of ties, percent ccurcy will e used s tie reker. TMSCA 0

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3 0-0 TMSCA Middle School Mthemtics Regionl Test.,000,0 99,99 = A. 900,07 B. 900,07 C. 900,077 D. 900,007 E. 900, A B. 0.7 C. 7 D. 70 E A. B. C. D. E.. Wht is the sum of the first positive odd numers? A. B. C. 7 D. E.. Wht is ½ % of,00? A. B. 0 C. D.. E (frction) A. B C. D. E A. 0. B. 0. C. 0. D. 0.0 E. 0.. Solve for m: m A.. B. 7 C. D.. E A. B. C. D. E. 0. A(n) ngle is n ngle with its terminl side on the -is or y-is. A. dihedrl B. refle C. terminl D. qudrntl E. stright. 90 A. B. 0 C. D. E.. 0 (Romn numerl) A. MMMCCXXXII B. MMMCCXXXII C. III CCXXXII D. MMMCXXIXII E. CI. Chnge into scientific nottion. A. 0 B.. 0 C.. 0 D E. 0. ft/sec = mi/hr A. B. C. 7 D. 9 E. 0. A. B. C. D. E. Copyright 0 y TMSCA

4 TMSCA - MSMA Regionl Test Pge. ( )... A. 9 B. 9 C. D. E How mny in in tiles cn fit into ft ft floor? A. 00 B. C. 00 D. 7 E. 0. Wht is the prime fctoriztion of,00? A. B. C. 0 D. E.. Simplify: yyy y yy y y y A. y B. y C. y D. y E. y 0 0. A dodechedron hs vertices. A. 0 B. C. D. E. 0. Find the interqurtile rnge of the set of numers,,,,,,, nd 0. A. 7 B. C. D, 7 E.. Find the midpoint etween the points (, -) nd (., 7.). A. (7., -.) B. (., -.) C. (7., -9.) D. (., -.) E. (., -.). Wht is the product of ll the digits of (! +!!)? A. B. C. 0 D. E.., 9 A. 77 B., C. 77 D., E.,. A(n) solution is solution of simplified version of n eqution tht does not stisfy the originl eqution. A. stretched B. etrneous C. rdicnd D. rtionl E. eperimentl. Wht re the odds of flipping two numer cues nd hving sum of fcing up? A. : B. : C. : D. : E. : 7. An ok tree csts foot shdow the sme time Mitchel csts n foot shdow. If Mitchel is feet tll, how tll is the ok tree? A. 7. ft B.. ft C.. ft D.. ft E. 0. ft. Ech minute, the minute hnd on clock moves. A. 0 B. 0 C. D. E. 9. If, wht is the vlue of? A. B. C. D. E Wht is the -intercept of the liner eqution y? A. B. C. D. 7 E. 90 Copyright 0 y TMSCA

5 TMSCA - MSMA Regionl Test Pge. Wht is the slope of ny line perpendiculr to the line tht psses through the points (, ) nd (-, 7)? A. B. C. D. E... Which point elow is solution to the system of liner inequlities y? 0 y y 7 A. (, -) B. (-, -) C. (0, -) D. (-, 0) E. (, 0). From the grph elow, wht is the vlue of f(), when =? y A. B. C. D. E. 0 y 07..? A. 0% B. 0% C. 0% D. 0% E. %. Wht is the growth rte of the eponentil growth function. The mesure of C elow is. Which of the following cn e used to find the mesure of AC? A. AC B. cos() AC C. sec() AC D. sin() AC E. tn() AC csc(). A. B. C. 0 D. E If vries inversely s y, nd = when y = -, find when y is 9. A. B. 9 9 C. D. - E. -. If f ( ) 7, then find f ( ). A B. - 9 C. + 9 D. - E. 9. Find the geometric men of A nd B, if 0 A nd B. A. B. C. D. E. Copyright 0 y TMSCA

6 TMSCA - MSMA Regionl Test Pge 0. The verte for the qudrtic eqution y is locted t (, ). Evlute. A.. B..7 C.. D.. E..97. students were sked which of Science, Mth or English ws their fvorite suject. students sid Mth, 9 sid Science, sid English, 0 sid Mth nd Science, 7 sid English nd Mth nd sid Science nd English. How mny students sid ll three were their fvorite sujects? A. B. C. D. E. 0. Find the inverse of the mtri. A B C D E Wht is the vlue of +, if A. B. 9 C. D. E.. 0 A. 0 0 B. 0 0 C. 0 D. 0 E. 0. Wht is the vlue of the fifth hegonl numer? A. B. C. D. E. 7. In the drwing elow, circle C hs dimeter of cm nd ABC is equilterl. Wht is the length of mjor rc AB? A. 0 cm B. 0 cm C. cm D. cm E. cm 7. The perimeter of rectngulr wooden deck is 90 feet. The deck s length is feet less thn times its width. Wht is the re of the wooden deck? A. 0 ft B. 00 ft C. 00 ft D. 0 ft E. 0 ft. If log M, then find M + M. A. 7 B. - C. D. E. 9. Simplify: A. B. C. D. E. 0. Austin is in his pedl ot. It tkes him ½ hours to go miles downstrem nd hours to return. Wht is the rte of the current? A. mph B. mph C. mph D. mph E. mph Copyright 0 y TMSCA

7 0-0 TMSCA Middle School Mthemtics Test Regionl Qulifier Answer Key. A. D. E. B. C. E 7. B. B 9. B 0. D. C. A. D. E. C. D 7. A. A. C 0. E. A. A. E. E. B. D 7. A. D 9. E 0. C. D. B. C. B. A. A 7. E. D 9. C 0. B. B. B. E. A. B. A 7. A. D 9. E 0. B Copyright 0 y TMSCA

8 Copyright 0 y TMSCA 0-0 TMSCA Middle School Mthemtics Test Regionl Qulifier Selected Solutions 0. A qudrntl ngle is n ngle with its terminl side on the -is or y-is. 9. If, then () ) (. Now we cn solve = = nd see tht = 7.. To find the inverse of mtri, first find its determinnt y using d c of d c. We re given 0, so the determinnt is 0. Now we multiply c d y det to find the inverse, so Circle C hs dimeter of cm nd ABC is equilterl s in our picture elow. Since the dimeter is cm, the circumference is cm. Becuse ABC is equilterl, mjor rc AB is equl to of the circumference of the entire circle. 0 cm. 9. ) (