Free CHSPE Math Question and Answers — Questions and Answers
Question 1: Which of the following sums up how many tails Adam should anticipate to receive after six coin tosses?
- 3 (Correct answer)
- 6
- 9
- 12
Correct answer: 3
For a fair coin, the probability of landing on tails in any single toss is 1/2 or 50%. To find the anticipated number of tails over multiple tosses, you multiply the total number of tosses by this probability. Therefore, for six coin tosses, Adam should anticipate 6 * (1/2) = 3 tails.
Question 2: Three dice are tossed at once in a game of chance. What is the likelihood that all three outcomes will be a 6?
- 1 in 8
- 1 in 30
- 1 in 6
- 1 in 216 (Correct answer)
Correct answer: 1 in 216
For each die, the probability of rolling a 6 is 1/6. Since the three dice rolls are independent events, the probability of all three outcomes being a 6 is found by multiplying their individual probabilities. Therefore, (1/6) * (1/6) * (1/6) equals 1/216. This means there is 1 chance in 216 that all three dice will land on a 6.
Question 3: The shadow of a guy standing on a level, flat surface is 6.2 feet long. His height is 5.8 feet. Which of the following best describes the length of his shadow from top to bottom?
- 8 ft
- 8.5 ft (Correct answer)
- 7 ft
- 7.5 ft
Correct answer: 8.5 ft
The man's height, his shadow, and the line from the top of his head to the end of his shadow form a right-angled triangle. We can use the Pythagorean theorem (a² + b² = c²) to find the length of the hypotenuse, which represents the length of his shadow from top to bottom. Plugging in the values, 5.8² + 6.2² = c², which calculates to 33.64 + 38.44 = 72.08. Taking the square root of 72.08 gives approximately 8.49 feet, which rounds to 8.5 feet.
Question 4: The product of 0.77 and 0.54 is what?
- 0.2
- 1.31 (Correct answer)
- 2.00
- 0.131
Correct answer: 1.31
The question asks for the product of 0.77 and 0.54. However, the provided correct answer, 1.31, is actually the sum of these two numbers (0.77 + 0.54 = 1.31). If the question intended to ask for the sum, then adding the two decimal numbers directly yields 1.31. The actual product of 0.77 and 0.54 is 0.4158.
Question 5: There are 28 blue pencils and 7 black pencils in a box. How many black pens are there compared to blue pens?
- 2:7
- 1:8
- 1:9
- 1:4 (Correct answer)
Correct answer: 1:4
The question asks for the ratio of black pencils to blue pencils. There are 7 black pencils and 28 blue pencils. This can be written as the ratio 7:28. To simplify, divide both numbers by their greatest common divisor, which is 7. Dividing 7 by 7 gives 1, and dividing 28 by 7 gives 4, resulting in a simplified ratio of 1:4.
Question 6: In a municipal election at polling place A, 945 of the 1270 registered voters cast their ballots. Out of the 1050 registered voters at polling station B, 860 cast their ballots, while out of the 1440 registered voters at polling station C, 1210 did the same. How many people voted throughout all three voting places?
- 74%
- 80% (Correct answer)
- 70%
- 76%
Correct answer: 80%
First, calculate the total number of people who voted across all three polling places: 945 + 860 + 1210 = 3015. Next, calculate the total number of registered voters: 1270 + 1050 + 1440 = 3760. To find the overall percentage, divide the total number of voters by the total number of registered voters: 3015 / 3760 ≈ 0.80186. Multiplying by 100 gives approximately 80.186%, which rounds to 80%.
Question 7: Employees at a cheap appliance retailer get an extra 20% off the item's lowest price. How much will an employee spend if he buys a dishwasher during a 15% discount sale when the dishwasher initially cost $450?
- $287.00
- $280.90
- $306.00 (Correct answer)
- $292.50
Correct answer: $306.00
First, apply the 15% discount to the initial price of $450. A 15% discount means the price is 100% - 15% = 85% of the original, so $450 * 0.85 = $382.50. Next, the employee gets an additional 20% off this discounted price. This means the employee pays 100% - 20% = 80% of $382.50. Therefore, $382.50 * 0.80 = $306.00.
Free CHSPE Math Question and Answers
Which of the following sums up how many tails Adam should anticipate to receive after six coin tosses?