Placement Test

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THIS IS THE ADVANCED MATHEMATICS PLACEMENT TEST

 

DATE: _____________________________________

NAME: _____________________________________

CLASS: _____________________________________

TEACHER: __________________________________

 

Directions: Answer the following questions.

  1. Write (in English or whatever language you can muster) the numbers 1 through 20 here: __________________________________________________________________________________________________________________
  2. Write the Latin numbers 1 through 10 here: ____________________________________________________________________________
  3. Answer this riddle (correctly): So, one grandmother, two mothers, and four children went to the park.  How many people went to the park (reduce answer as much as possible)?  Write your answer here (include a fake name for each person, and write what they are, for ex: Maria (grandmother)): __________________________________________________________________________________________________________________
  4. Answer this mathematical questions (correctly): As we all know, since the fact is elementary, there are 293 ways to make change for a dollar.  You can make $6 using only 137 coins.  See if you can find out which coins those are that I used.  Keep in mind that in your answer I don’t want you to have more coins of the same type (like the quarter coin, for ex) than you can make a dollar with (for quarter usage your limit would be 4 quarters, since 4 quarters make up a dollar).  Write your answer here: __________________________________________________________________________________________________________________
  5. Answer this questions correctly: So, your older sister (lucky girl) was born on February 30th, at 11:59 (one second before midnight).  Fortunately, you are her twin!  But you were born a second after her, just as the clock struck midnight (you might be thinking on the bright side, at least you don’t have to share a birthday, but think again!).  Your sister’s birthday comes around only every four years.  So that means that she ages 1 year to your every 4.  So when you are 16, she is only 4.  When you are 4,000 she is only 1,000.  And all because of one second between your births — truly a life-changing one second!!!  So, when you are sixty, how old is she?  Write your answer here: ______________________________________

 

 

ADVANCED MATHEMATICS ANSWER SHEET FOR PLACEMENT TEST

DATE: August 31 (year varies)

NAME: (name varies)

CLASS: ADVANCED MATH

 

Directions: Answer the following questions.

  1. Write (in English or whatever language you can muster) the numbers 1 through 20 here: language will vary; possible answers are: (English) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20; (Chinese) yi, er, san, si, wu, liu, qi, ba, jiu, shi, shiyi, shier, shisan, shisi, shiwu, shiliu, shiqi, shiba, shijiu, ershi; etc.
  2. Write the Latin numbers 1 through 10 here: …penta,… octa,… etc. (I don’t remember them all!)
  3. Answer this riddle (correctly): So, one grandmother, two mothers, and four children went to the park.  How many people went to the park (reduce answer as much as possible)?  Write your answer here (include a fake name for each person, and write what they are, for ex: Nina (grandmother/mother, and include geneology, for ex: Pinta, daughter of Nina: names (underlined) will vary; here I use placement names: four people: Nina (grandmother/mother/child); Pinta, daughter of Nina (mother/child); Santa Maria, daughter of Pinta, granddaughter of Nina (child); and Santa Maria’s twin Mayflower, daughter of Pinta, granddaughter of Nina (child)
  4. Answer this mathematical questions (correctly): As we all know, since the fact is elementary, there are 293 ways to make change for a dollar.  You can make $6 using only 137 coins.  See if you can find out which coins those are that I used.  Keep in mind that in your answer I don’t want you to have more coins of the same type (like the quarter coin, for ex) than you can make a dollar with (for quarter usage your limit would be 4 quarters, since 4 quarters make up a dollar).  Write your answer here (in a full sentence): answer: 100 pennies, 20 nickels, 10 dimes, 4 quarters, 2 half-dollar coins, and 1 dollar coin make up $6 using 137 coins.
  5. Answer this questions correctly: So, your older sister (lucky girl) was born on February 30th, at 11:59 (one second before midnight).  Fortunately, you are her twin!  But you were born a second after her, just as the clock struck midnight (you might be thinking on the bright side, at least you don’t have to share a birthday, but think again!).  Your sister’s birthday comes around only every four years.  So that means that she ages 1 year to your every 4 (according to the number of birthdays she has had).  So when you are 16, she is only 4.  When you are 4,000 she is only 1,000.  And all because of one second between your births — truly a life-changing one second!!!  So, when you are sixty, how old is she (according to the number of birthdays she has had)?  Write your answer here (use a full sentence): answer: She is 15.

ADVANCED MATH PLACEMENT TEST GRADE GUIDE

This list is based on percentage correct (20% for every 50+ correct answer; 5 answers; if less than half of an answer is correct, then 10%).  This grading guide only applies to certain grades.

Student…

  • 100% correct = A+ = tries placement test for next grade’s math class
  • 90% correct = A = does (opt.): 1. redo test, same test (if 100% correct on redo test try placement test for next grade’s math class); 2. meet with the teacher, teacher decides if student tries placement test for next grade’s math class
  • 80% correct = B+ = does (opt.): 1. redo test, same test (if 100% correct on redo test try placement test for next grade’s math class); 2. meet with the teacher, teacher decides if student tries placement test for next grade’s math class; 3. stay in advanced math class for same grade
  • 70% correct = B = does (opt.): 1. redo test, same test (if 100% correct on redo test try placement test for next grade’s math class); 2. meet with the teacher, teacher decides if student tries placement test for next grade’s math class stay in advanced math class for this grade
  • 60% correct = C+ = stays in advanced math class for same grade
  • 50% correct = C = stays in advanced math class
  • 40% correct = D+ = moves to un-advanced math class
  • 30% correct = D = moves to un-advanced math class
  • 20% correct = F+ = moves to previous grade’s advanced math class
  • 10% correct = F = moves to previous grade’s un-advanced math class
  • 0% correct = -F = returns to pre-school or kindergarten

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