Massachusetts Test for Educator Licensure (MTEL) – Sample

The letters A, B, and C represent digits (possibly equal) in the twelve digit number x=111,111,111,ABC. For which values of A, B, and C is x divisible by 40?

If x is an integer, which of the following must also be an integer?

The chairs in a large room can be arranged in rows of 18, 25, or 60 with no chairs left over. If C is the smallest possible number of chairs in the room, which of the following inequalities does C satisfy?

Here is a mental math strategy for computing 26 x 16: Step 1: 100 x 16 = 1600 Step 2: 25 x 16 = 1600 � 4 = 400 Step 3: 26 x 16 = 400 + 16 = 416 Which property best justifies Step 3 in this strategy?

Cell phone plan A charges $3 per month plus $0.10 per minute. Cell phone plan B charges $29.99 per month, with no fee for the first 400 minutes and then $0.20 for each additional minute. Which equation can be used to solve for the number of minutes, m (with m>400) that a person would have to spend on the phone each month in order for the bills for plan A and plan B to be equal?

Here is a number trick: 1) Pick a whole number 2) Double your number. 3) Add 20 to the above result. 4) Multiply the above by 5 5) Subtract 100 6) Divide by 10 The result is always the number that you started with! Suppose you start by picking N. Which of the equations below best demonstrates that the result after Step 6 is also N?

Which of the following is closest to the height of a college student in centimeters?

Which of the lists below is in order from least to greatest value?

A homeowner is planning to tile the kitchen floor with tiles that measure 6 inches by 8 inches. The kitchen floor is a rectangle that measures 10 ft by 12 ft, and there are no gaps between the tiles. How many tiles does the homeowner need?

There are 15 students for every teacher. Let t represent the number of teachers and let s represent the number of students. Which of the following equations is correct?