Delta College Middle School Math Competition Practice Test-2017, Exercises of Mathematics

Download Delta College Middle School Math Competition Practice Test-2017 and more Exercises Mathematics in PDF only on Docsity! Delta College Middle School Math Competition Practice Test-2017 1) What value of the digit A will make the number 567,88A be divisible by 12? a. 2 b. 8 c. 5 d. 0 e. 3 2) What is the smallest number of coins (pennies, nickels, dimes, and quarters are the only coins allowed) needed to represent any sum up to $1? a. 10 b. 12 c. 15 d. 8 e. none of these 3) The product of the ages of three teenagers is 4590. How old is the oldest? a. 18 b. 19 c. 15 d. 17 e. none of these 4) If rose bushes are spaced about 1 foot apart, approximately how many bushes are needed to surround a circular patio whose radius is 12 feet? a. 12 bushes b. 38 bushes c. 48 bushes d. 75 bushes e. 450 bushes 5) The ordered list of numbers 18, 21, 24, A, 36, 37, B has a median of 30 and a mean of 32. Find B – A. a. 30 b. 32 c. 56 d. 24 e. none of these 6) Zorks measure angles in clerts. There are 500 clerts in a full circle. How many clerts are there in a right angle? a. 100 clerts b. 90 clerts c. 150 clerts d. 125 clerts e. none of these 7) The value of   33 = 27. The units digit for   33 is 7. What is the units digit for   3122 ? a. 1 b. 9 c. 7 d. 3 e. 4 8) A math snail was born on January 1st, 2013 at midnight. It lived 3.07 years (assume it never lived through a leap year). Cite the date and time it died, round to the nearest minute. a. April 2, 2013 at 2:13 pm b. January 26, 2016 at 1:12 pm c. April 26, 2016 at 4:02 am d. February 13, 2016 at 4:13 pm e. April 2, 2016 at 2:13 pm 9) A Palindrome is a whole number that reads the same forwards as backwards (121 or 1441). If we neglect the colon, certain times displayed on a digital watch are palindromes. Three examples are 1:01, 4:44, 12:21. How many times during a 12 hour period will there be palindromes shown on the face of the digital clock? a. 60 b. 63 c. 93 d. 57 e. 97 10) What is the reciprocal of ( 1 2 + 1 3 + 1 4 )? a. 12/13 b. 9 c. 3/13 d. 4 e. There is no reciprocal 11) If you jog 1 mile at 4 miles per hour and jog another mile at 8 miles per hour and then run the last two miles at 12 miles per hour, what is your average speed for the four miles? a. 8 MPH b. 6 MPH c. 10 MPH d. 9 MPH e. 7 MPH 12) If   10 < A < 20 and -6 < B < 8 then   (A -B) is between what two integers? a. 2 and 26 b. 4 and 28 c. -6 and 20 d. 8 and 10 e. -6 and 28 13) Paige averages 12 MPH riding her bicycle to school. Averaging 36 MPH by car takes her one-half hour less time. How far does she travel to school? a. 12 miles b. 9 miles c. 15 miles d. 20 miles e. 36 miles 14)   3 -1( ) 5 - 3( ) 4 -1( ) 2 -1( ) - 4 -1( ) 3 -1( ) 2 -1( ) is equal to a. 72 b. 5 c. 9 d. 6 e. 18 15) A square is inscribed inside a circle. What percentage of the square’s perimeter is the circle’s circumference? Round your answer to the nearest whole percent. a. 90% b. 110% c. 111% d. 101% e. 50% 16) What is the smallest natural number which is divisible by 3, 4, 5, 6, and 7 ? a. 210 b. 840 c. 1 d. 420 e. none of these 17) The product of three consecutive natural numbers equals fifty-six times their sum. What is the middle number? a. 12 b. -13 c. 0 d. -12 e. 13 18) How many natural numbers up to 1,000 contain at least one of the digits “8” or “9” ? a. 488 b. 472 c. 422 d. 288 e. 388