HPC - ACT Math Practice - (Pre-Algebra)

Front

What is the formula to calculate the percentage of wins needed to qualify for a tournament?

Back

Percentage of wins = (Number of wins / Total matches) * 100

Front

If Sam has won 14 out of 18 matches, what is his current win percentage?

Back

Current win percentage = (14 / 18) * 100 = 77.78%.

Front

How do you determine the total number of matches Sam must win to qualify for the tournament?

Back

To qualify, Sam must win at least 60% of his total matches. Total matches = 18 (already played) + 13 (remaining) = 31. Required wins = 0.6 * 31 = 18.6, so he needs at least 19 wins.

Front

What is the ratio of students in a team if the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6?

Back

The ratio indicates that for every 1 freshman, there are 3 sophomores, 4 juniors, and 6 seniors.

Front

If there are 60 juniors in a team with a ratio of 1:3:4:6, how do you find the total number of students?

Back

Let the common ratio factor be x. Then, juniors = 4x = 60, so x = 15. Total students = 1x + 3x + 4x + 6x = 14x = 14 * 15 = 210.

Front

Back

Front

How do you convert a fraction to a decimal?

Back

Front

What is the least common multiple (LCM) of 4 and 6?

Back

The LCM of 4 and 6 is 12, as it is the smallest number that both 4 and 6 can divide into without a remainder.

Front

How do you find the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is the difference between a ratio and a proportion?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.