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MTEL General Curriculum Mathematics Practice
At a school fundraising event, people can buy a ticket to spin a spinner like the one below. The region that the spinner lands in tells which, if any, prize the person wins.
If 240 people buy tickets to spin the spinner, what is the best estimate of the number of keychains that will be given away?
"Keychain" appears on the spinner twice.
The probability of getting a keychain is 1/3, and so about 1/3 of the time the spinner will win.
What is the probability of winning a keychain?
That would be the answer for getting any prize, not a keychain specifically.
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?
\( \large C\le 300\)
Find the LCM.
\( \large 300 < C \le 500 \)
Find the LCM.
\( \large 500 < C \le 700 \)
Find the LCM.
\( \large C>700\)
The LCM is 900, which is the smallest number of chairs.
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?
\( \large A = 3, B = 2, C=0\)
Note that it doesn't matter what the first 9 digits are, since 1000 is divisible by 40, so DEF,GHI,JKL,000 is divisible by 40 - we need to check the last 3.
\( \large A = 0, B = 0, C=4\)
Not divisible by 10, since it doesn't end in 0.
\( \large A = 4, B = 2, C=0\)
Divisible by 10 and by 4, but not by 40, as it's not divisible by 8. Look at 40 as the product of powers of primes -- 8 x 5, and check each. To check 8, either check whether 420 is divisible by 8, or take ones place + twice tens place + 4 * hundreds place = 18, which is not divisible by 8.
\( \large A =1, B=0, C=0\)
Divisible by 10 and by 4, but not by 40, as it's not divisible by 8. Look at 40 as the product of powers of primes -- 8 x 5, and check each. To check 8, either check whether 100 is divisible by 8, or take ones place + twice tens place + 4 * hundreds place = 4, which is not divisible by 8.
Which of the following is equal to one million three hundred thousand?
That's one billion three hundred million.
That's one million thirty thousand.
That's one billion thirty million
A class is using base-ten block to represent numbers. A large cube represents 1000, a flat represents 100, a rod represents 10, and a little cube represents 1. Which of these is not a correct representation for 2,347?
23 flats, 4 rods, 7 little cubes
Be sure you read the question carefully: 2300+40+7=2347
2 large cubes, 3 flats, 47 rods
2000+300+470 \( \neq\) 2347
2 large cubes, 34 rods, 7 little cubes
Be sure you read the question carefully: 2000+340+7=2347
2 large cubes, 3 flats, 4 rods, 7 little cubes
Be sure you read the question carefully: 2000+300+40+7=2347
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