math 1 random facts

Question 1

if m and n are positive integers and if r is the remainder when n is divided by m, then

Answer 1

n is r more than a multiple of m. n = mq + r, where q is an integer and 0

Question 2

since the difference between consecutive integers is 1, if n represents an integer, the next three consecutive integers are

Answer 2

n + 1, n + 2, and n + 3

Question 3

at 50 min past an hour, the hour hand moves

Answer 3

5/6 of the way

Question 4

the sum of the lengths of any two sides of a triangle is

Answer 4

greater than the length of the third side

Question 5

the difference of the lengths of any two sides of a triangle is

Answer 5

less than the length of the third side

Question 6

from any point outside a circle, exactly two

Answer 6

tangents can be drawn to the circle

Question 7

if two tangents are drawn from a point P outside a circle, intersecting the circle at A and B, then

Answer 7

PA = PB

Question 8

the measure of the angle formed by two tangents drawn from the same point is

Answer 8

half the difference of the two intercepted arcs

Question 9

a line tangent to a circle is perpendicular to the

Answer 9

radius (or diameter) drawn to the point of contact

Question 10

there are … 4 digit palindromes and … four digit integers

Answer 10

90; 9000

Question 11

When a sequence consists of a group of k terms that repeat in the same order indefinitely, to find the nth term find the remainder r, when

Answer 11

n is divided by k. the rth term and nth term are equal