October 2019 Questionand-Answer Service Use this with your QAS Student Guide and personalized QAS Report. What's inside: – Test questions – The Essay prompt administered on your test day NOT FOR REPRODUCTION OR RESALE. .BUI 5FTU o /P $BMDVMBUPS . * / 6 5&4 26&45*0/4 5VSO UP 4FDUJPO PG ZPVS BOTXFS TIFFU UP BOTXFS UIF RVFTUJPOT JO UIJT TFDUJPO 'PS RVFTUJPOT TPMWF FBDI QSPCMFN DIPPTF UIF CFTU BOTXFS GSPN UIF DIPJDFT QSPWJEFE BOE GJMM JO UIF DPSSFTQPOEJOH DJSDMF PO ZPVS BOTXFS TIFFU 'PS RVFTUJPOT TPMWF UIF QSPCMFN BOE FOUFS ZPVS BOTXFS JO UIF HSJE PO UIF BOTXFS TIFFU 1MFBTF SFGFS UP UIF EJSFDUJPOT CFGPSF RVFTUJPO PO IPX UP FOUFS ZPVS BOTXFST JO UIF HSJE :PV NBZ VTF BOZ BWBJMBCMF TQBDF JO ZPVS UFTU CPPLMFU GPS TDSBUDI XPSL 1. The use of a calculator is not permitted. 2. All variables and expressions used represent real numbers unless otherwise indicated. 3. Figures provided in this test are drawn to scale unless otherwise indicated. 4. All figures lie in a plane unless otherwise indicated. 5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f(x) is a real number. S X I 7XI C "CI "X "pS $pS I S I X 7pS I Y D C B D B C S Y T ¡ T ¡ ¡ T Y 4QFDJBM3JHIU5SJBOHMFT I I S 7pS ¡ 7pS I X XI 7 5IF OVNCFS PG EFHSFFT PG BSD JO B DJSDMF JT 5IF OVNCFS PG SBEJBOT PG BSD JO B DJSDMF JT p 5IF TVN PG UIF NFBTVSFT JO EFHSFFT PG UIF BOHMFT PG B USJBOHMF JT $0 /5* / 6 & $0 /5* / 6 & $0 /5* / 6 & $0 /5* / 6 & $0 /5* / 6 & 7 Answer: 12 DIRECTIONS For questions 16–20, solve the problem and enter your answer in the grid, as described below, on the answer sheet. 1. Although not required, it is suggested that you write your answer in the boxes at the top of the columns to help you fill in the circles accurately. You will receive credit only if the circles are filled in correctly. 2. Mark no more than one circle in any column. 3. No question has a negative answer. 4. Some problems may have more than one correct answer. In such cases, grid only one answer. 5. Mixed numbers such as 3 1 must be gridded 2 as 3.5 or 7/2. (If 3 1 / 2 is entered into the / / grid, it will be interpreted as 31 , not 3 1 .) 2 2 6. Decimal answers: If you obtain a decimal answer with more digits than the grid can accommodate, it may be either rounded or truncated, but it must fill the entire grid. Write answer in boxes. 7 / 12 . Grid in result. 1 2 3 4 5 6 7 8 9 / / . . . 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 Answer: 2.5 Fraction line 2 . 5 . 1 2 3 4 5 6 7 8 9 / / . . . 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 Decimal point 2 Acceptable ways to grid 3 are: 2 / 3 . 666 . 667 / / / / . . . . . . . . . 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 Answer: 201 – either position is correct 201 / / . . . . 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 201 / / . . . . 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 / / . . . 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 NOTE: You may start your answers in any column, space permitting. Columns you don’t need to use should be left blank. $0 /5* / 6 & 17 20 18 ......................................................................................................................................................................................................................................................... 19 16 4501 *G ZPV GJOJTI CFGPSF UJNF JT DBMMFE ZPV NBZ DIFDL ZPVS XPSL PO UIJT TFDUJPO POMZ %P OPU UVSO UP BOZ PUIFS TFDUJPO .BUI 5FTU o $BMDVMBUPS . * / 6 5&4 26&45*0/4 5VSO UP 4FDUJPO PG ZPVS BOTXFS TIFFU UP BOTXFS UIF RVFTUJPOT JO UIJT TFDUJPO 'PS RVFTUJPOT TPMWF FBDI QSPCMFN DIPPTF UIF CFTU BOTXFS GSPN UIF DIPJDFT QSPWJEFE BOE GJMM JO UIF DPSSFTQPOEJOH DJSDMF PO ZPVS BOTXFS TIFFU 'PS RVFTUJPOT TPMWF UIF QSPCMFN BOE FOUFS ZPVS BOTXFS JO UIF HSJE PO UIF BOTXFS TIFFU 1MFBTF SFGFS UP UIF EJSFDUJPOT CFGPSF RVFTUJPO PO IPX UP FOUFS ZPVS BOTXFST JO UIF HSJE :PV NBZ VTF BOZ BWBJMBCMF TQBDF JO ZPVS UFTU CPPLMFU GPS TDSBUDI XPSL 1. The use of a calculator is permitted. 2. All variables and expressions used represent real numbers unless otherwise indicated. 3. Figures provided in this test are drawn to scale unless otherwise indicated. 4. All figures lie in a plane unless otherwise indicated. 5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f(x) is a real number. S X I 7XI C "CI "X "pS $pS I S I X 7pS I Y D C B D B C S Y T ¡ T ¡ ¡ T Y 4QFDJBM3JHIU5SJBOHMFT I I S 7pS ¡ 7pS I X XI 7 5IF OVNCFS PG EFHSFFT PG BSD JO B DJSDMF JT 5IF OVNCFS PG SBEJBOT PG BSD JO B DJSDMF JT p 5IF TVN PG UIF NFBTVSFT JO EFHSFFT PG UIF BOHMFT PG B USJBOHMF JT $0 /5* / 6 & $0 /5* / 6 & 8 6 7 5 $0 /5* / 6 & 4 4 CO NTI N U E 4 5 3 $0 /5* / 6 & ▲ ▼ 2VFTUJPOT BOE SFGFS UP UIF GPMMPXJOH JOGPSNBUJPO $0 /5* / 6 & $0 /5* / 6 & 26 24 25 23 $0 /5* / 6 & 29 27 $0 /5* / 6 & 7 Answer: 12 DIRECTIONS 'PS RVFTUJPOT solve the problem and enter your answer in the grid, as described below, on the answer sheet. 1. Although not required, it is suggested that you write your answer in the boxes at the top of the columns to help you fill in the circles accurately. You will receive credit only if the circles are filled in correctly. 2. Mark no more than one circle in any column. 3. No question has a negative answer. 4. Some problems may have more than one correct answer. In such cases, grid only one answer. 5. Mixed numbers such as 3 1 must be gridded 2 as 3.5 or 7/2. (If 3 1 / 2 is entered into the / / grid, it will be interpreted as 31 , not 3 1 .) 2 2 6. Decimal answers: If you obtain a decimal answer with more digits than the grid can accommodate, it may be either rounded or truncated, but it must fill the entire grid. Write answer in boxes. 7 / 12 . Grid in result. 1 2 3 4 5 6 7 8 9 / / . . . 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 Answer: 2.5 Fraction line 2 . 5 . 1 2 3 4 5 6 7 8 9 / / . . . 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 Decimal point 2 Acceptable ways to grid 3 are: 2 / 3 . 666 . 667 / / / / . . . . . . . . . 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 Answer: 201 – either position is correct 201 / / . . . . 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 201 / / . . . . 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 / / . . . 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 NOTE: You may start your answers in any column, space permitting. Columns you don’t need to use should be left blank. $0 /5* / 6 & $0 /5* / 6 & $0 /5* / 6 & ▲ ▼ 2VFTUJPOT BOE SFGFS UP UIF GPMMPXJOH JOGPSNBUJPO 4501 *G ZPV GJOJTI CFGPSF UJNF JT DBMMFE ZPV NBZ DIFDL ZPVS XPSL PO UIJT TFDUJPO POMZ %P OPU UVSO UP BOZ PUIFS TFDUJPO
