REMT 2016
MATHEMATICAL
THOUGHT
ANSWERS
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LAST NAME
FIRST NAME
GRADE
2016F2
1.
I used to make $12 per hour at my job. I got a raise, and now make $13.50 per hour.
What was the percent increase of my raise?
2.
A drawer contains two white socks, two red socks, and two blue socks. If I grab two
socks at random from this drawer, what is the probability that I get a matching pair?
3.
Lee had an average score of 78 on five math quizzes. On one of these quizzes, Lee
had a score of 56; the teacher allowed Lee to retake that quiz and replace the 56
with the new score. If the new score is 81, what is Lee's new average score on the
five quizzes?
4.
We define a positive integer p to be almost prime if it has exactly one divisor other than 1
and p. Compute the sum of the three smallest numbers which are almost prime.
5.
Robin goes birdwatching one day and sees three types of birds: pigeons, quail, and
robins. If 2/3 of the birds seen are robins, 1/8 of the birds seen are quail, and exactly 5 of
the birds seen are pigeons, how many robins does Robin see?
2016F3
6.
How many ten-digit integers can be made using, as digits, one one, two twos, three
threes, and four fours?
7.
Our school has six classrooms, each measuring 40 feet by 60 feet. Floor paint covers
350 square feet per gallon. How many one-gallon cans of paint will the school need
to paint all the classroom floors?
8.
The library has $275.50 in its book fund. It will use as much of this as it can to buy
books at a cost of $19.95 apiece; any leftover amount will be used to purchase
library paste. How much will the library spend on library paste?
9.
I completed a bike tour in five hours and 42 minutes. If I finished at 2:17 p.m., what
time did I start?
10.
In a poll of 100 people, 60 of them claimed to be good at math; a follow-up test showed
that only 50 are actually good at math. If 32 people correctly denied that they are good at
math, how many people are good at math but didn't admit it?
2016F4
11.
How many squares, of any size, containing the shaded square,
are there in this figure?
12.
A 2-digit number is such that the product of the digits plus the sum of the digits is equal
to the number. What is the units digit of this number?
13.
Jack sets out on a bike ride at 18 miles per hour. Jill sets out 10 minutes later and
follows the same route at 22 miles per hour. How many minutes after she starts will
Jill catch up to Jack?
14.
An estate wills a substantial amount of wealth to four charities in the amounts of A, B, C,
and D. Certain interested parties find out that A + B + C = $750,000; A + B + D =
$600,000; A + C + D = $650,000; and B + C + D = $700,000. What is the amount A?
15.
It takes three lumberjacks three minutes to saw three logs into three pieces each. How
many minutes does it take six lumberjacks to saw six logs into six pieces each?