Free CAHSEE Math Question and Answers — Questions and Answers
Question 1: You multiply any number from 1 to 0 by 1,000. The solutions must be:
- 1
- greater than 1,000
- less than 0
- between 0 and 1000 (Correct answer)
Correct answer: between 0 and 1000
When you multiply any number between 0 and 1 (exclusive of 1, inclusive of 0) by 1,000, the result will always be less than 1,000. For example, 0 * 1000 = 0, and 0.5 * 1000 = 500. Thus, the solution will always fall within the range of 0 to 1000.
Question 2: Henry makes a $500 stock investment. The stock generates an 8% return on his investment in the first year. How much money does Henry have at the end of the first year if he sells his stock?
- $500.00
- $540.00 (Correct answer)
- $580.00
- $550.00
Correct answer: $540.00
To calculate the return, multiply the initial investment by the percentage return: $500 * 0.08 = $40. This $40 is the profit Henry made from his investment. Adding this profit to the original investment gives the total amount Henry has: $500 + $40 = $540.00.
Question 3: When a client of a realtor buys or sells a home, the realtor receives a 3% commission. What percentage of a $340,000 home's sale price goes toward the realtor's commission?
- $3,000
- $1,000
- $10,000
- $10,200 (Correct answer)
Correct answer: $10,200
To find the realtor's commission, convert the percentage to a decimal (3% = 0.03) and multiply it by the home's sale price. Therefore, 0.03 multiplied by $340,000 equals $10,200. This is the dollar amount the realtor receives as commission.
Question 4: What 5/16 is equivalent to
- .5
- .3125 (Correct answer)
- .125
- .15
Correct answer: .3125
To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, dividing 5 by 16 yields 0.3125. Therefore, 5/16 is equivalent to 0.3125.
Question 5: Over the period of 50 school days, a student missed 5 days of class. What percentage of the day was the student in class?
- 5%
- 10%
- 80%
- 90% (Correct answer)
Correct answer: 90%
First, determine the number of days the student was in class: 50 total days - 5 missed days = 45 days in class. To find the percentage, divide the days in class by the total days and multiply by 100: (45 / 50) * 100 = 0.90 * 100 = 90%.
Question 6: Which of the following must be true if you roll two 6 sided dice?
- The probability of rolling the same number on both dice is higher than the probability of rolling a 1 and a 5. (Correct answer)
- It is very unlikely for a 6 to be on either die.
- The probability of rolling two dice and getting a 3 and a 4 is greater than the probability of rolling one die and getting a 6 instead.
- A 1 or 3 are most likely to be on one of the die
Correct answer: The probability of rolling the same number on both dice is higher than the probability of rolling a 1 and a 5.
There are 6 ways to roll the same number on two dice (1,1 through 6,6), giving a probability of 6/36 or 1/6. There are only 2 ways to roll a 1 and a 5 ((1,5) or (5,1)), giving a probability of 2/36 or 1/18. Since 1/6 is greater than 1/18, rolling the same number is more probable.
Question 7: There are x pounds of animal feed stored by a zookeeper. He spends 25 pounds, then 3000 pounds are purchased. Which phrase accurately describes how many pounds of feed the zookeeper has?
- x+25-3y
- x+25+3y
- x-25-3y
- x-25+3y (Correct answer)
Correct answer: x-25+3y
The zookeeper starts with 'x' pounds of feed. Spending 25 pounds reduces the amount to 'x - 25'. Subsequently, purchasing 3y pounds adds to the total, resulting in the expression 'x - 25 + 3y' to represent the final amount of feed.
You multiply any number from 1 to 0 by 1,000.
The solutions must be: