# FREE CHSPE Math Question and Answers

#### Which of the following sums up how many tails Adam should anticipate to receive after six coin tosses?

Explanation:

The likelihood of receiving tails on one coin toss multiplied by the number of coin tosses gives the expected number of tails after six tosses. The predicted value is therefore 1/2.6, or 3.

#### Three dice are tossed at once in a game of chance. What is the likelihood that all three outcomes will be a 6?

Explanation:

There is a 1 in 6 probability that each dice will have a 6 on top. The die has six sides, which is the explanation. The outcome of a previous dice roll has no bearing on the likelihood that a 6 will appear for each die. These probabilities are independent, in other words. Therefore, the sum of the individual probabilities is the likelihood of tossing three sixes.

#### 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?

Explanation:

The diagonal distance between the top of his head and the base of the shadow can be calculated using the Pythagorean theorem.

#### 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?

Explanation:

The cost of the dishwasher = $450

15% discount amount = 450‣15/100 = $67.5

The discounted price = 450 – 67.5 = $382.5

20% additional discount amount on lowest price = 382.5‣20/100 = $76.5

So, the final discounted price = 382.5 – 76.5 = $306.0049

#### 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?

Explanation:

We must divide the number of voters by the total number of registered voters in order to determine the overall turnout at each of the three polling places.

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Number of total voters = 945 + 860 + 1210 = 3015

Number of total registered voters = 1270 + 1050 + 1440 = 3760

Percentage turnout over all three polling stations = 3015‣100/3760 = 80.19%

Checking the answers, we round 80.19 to the nearest whole number: 80%

#### There are 28 blue pencils and 7 black pencils in a box. How many black pens are there compared to blue pens?

Explanation:

Black and blue pens are 7 to 28 or 7:28 in ratio. Divide both sides by 7 to get the lowest terms (1:4).

#### The product of 0.77 and 0.54 is what?

Explanation:

By aligning the numbers vertically with the decimal and adding, we may obtain the sum of two decimal numbers. The decimal will be lowered into the solution and lined up there. When adding the numbers in this issue when they are vertically aligned with the decimal, we begin by adding 7 and 4, which results in 11, and 1 is carried over to the subsequent column. The gets carried over one more after we add 7,5,1, and 2. Finally, we add 1 to 1, 0 to 0, and 0 to 1. When we move the decimal point such that it aligns with the solution, we discover that the product of 0.77 and 0.54 is 1.31.