Mathematical Problem Solving

The video tutorial covers five math problems, each focusing on different concepts. Problem 30 involves calculating the fraction of a circle that is shaded using angle measurements. Problem 31 deals with determining the time required to run a certain distance at a given rate. Problem 32 explores the maximum number of sock pairs remaining after losing some socks. Problem 33 finds the smallest positive integer divisible by numbers 1 through 7. Problem 34 calculates what percentage one number is of another. Finally, Problem 35 involves solving an algebraic equation for a variable.

If a circle has a central angle of 150 degrees, what fraction of the circle is not shaded?

• 3/4

• 1/4

• 5/6

• 1/6

Juan runs y yards in 11 seconds. How long will it take him to run 2y yards at the same speed?

• 33 seconds

• 44 seconds

• 11 seconds

• 22 seconds

If John loses 7 socks from 10 pairs, what is the maximum number of complete pairs he can still have?

• 3 pairs

• 6 pairs

• 4 pairs

• 5 pairs

What is the smallest positive integer divisible by all numbers from 1 to 7?

• 210

• 420

• 840

• 1260

What percentage of 30 is 12?

• 20%

• 30%

• 40%

• 50%

If 1.5 divided by (0.2 + x) equals 5, what is the value of x?

• 0.2

• 0.4

• 0.3

• 0.1