# CBEST California Teacher Exam Prep #2

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Palladium is often used to replace platinum because it is cheaper, harder, and lighter. While not all three of the reasons were provided, the two provided in choices A and B are accurate and should be selected.

#### Is 40÷5>, =, or < 49÷7?

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40÷5 > 49÷7. In other words, 8 > 7.

#### Which of the following is a prime number?

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23 is a prime number. A prime number is a number that can only be divided by itself and by the number 1, without a remainder. 50, 25, and 6 can all be divided by numbers other than itself and 1. Even numbers greater than 2 are never prime.

#### Round 567.342 to the nearest hundredth. What is the answer?

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567.342 rounded to the nearest hundredth is 567.34. The 4 is in the hundredths place. Since it is followed by the number 2, which is less than 5, you would round down and keep the 4.

#### Round 6148.11385tothe nearest thousandths place.Whatisthe answer?

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If you round 6148.11385 to the nearest thousandths place, the answer is 6148.114. In the given number, the 3 is in the thousandths place. The next number used to round it is an 8, which is greater than 5, so you would round the 3 up to 4.

#### Which property is the following equation an example of? 9 x 1/9 = 9

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9 x 1/9 = 9 is an example of the multiplicative inverse property. The multiplicative inverse property involves multiplying a number by its reciprocal, or putting it into a fraction with 1 as the numerator. When you multiply it by its reciprocal, you get the original number.

#### Olivia is writing a recipe for orange-colored fruit salad. She uses 4 apricots for every cantaloupe, 2 peaches for every apricot, and one orange for every cantaloupe. If she uses 8 oranges, how many whole pieces of fruit total will be used for the fruit salad?

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There will be 112 whole pieces of fruit total used for the fruit salad. There will be 8 oranges, 8 cantaloupes, 32 apricots, and 64 peaches.

#### According to the US Standard system, which of the following would be used to measure the volume of water in a bath tub?

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According to the US Standard system, gallons would be used to measure the volume of water in a bath tub. Other countries do not use gallons as a way of measurement. A US Standard liquid gallon is approximately 4.5 liters.

#### Identify the pattern in the following set of numbers: 2, 5, 8, 11, 14, 17

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The pattern is that the set starts with 2 and jumps 3 each time.

#### Tim ate 8/10 of a pizza. State the fraction for the amount of pizza that was left over in its simplest form.

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Tim had 1/5 of the pizza left, as stated in simplest form. Since Tim ate 8/10 of the pizza, he had 2/10 remaining. 2/10 in its simplest form is 1/5.

#### Mary has 2 quarts of ice cream. She shares a half of a quart with her friend, Bill. How many pints does she have left?

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Mary has 3 pints left. There are 2 pints in a quart. If Mary has 2 quarts of ice cream, she has 4 pints. If she gives half of a quart away, she is giving away 1 pint. The result is 3 pints.

#### A: {3, 6, 7} B: {2, 8} What is the union of Set A and Set B?

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The union of Set A and Set B is {2, 3, 6, 7, 8}. This is a combination of both sets.

#### What percentage is ¼?

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¼ = 25%. You can divide the numerator by the denominator to get the percentage. 1 ÷ 4 = .25 which is equal to 25%.

#### Which of the following uses the doubling method of informal counting to solve the following: 3+4=

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The doubling method would be 3 + 4 = (3 + 3) +1 = 6 + 1 = 7. Using the doubling method of informal counting involves taking apart a number so that it is the same number as the one being added to it and then adding the difference. It is a way to do mental math easily in one’s head.

#### What is 1 1/2 as a simple fraction in lowest terms?

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3/2 1 = 2/2, so 2/2 + 1/2 = 3/2. Since both 3 and 2 are prime, the fraction cannot be simplified further. 6/4 is equivalent, but since both terms are divisible by 2 it is not the simplest form.

#### Solve: 5²

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5 squared is 25. 5 multiplied by itself is 25.

#### What is the perimeter of a rectangle that has 2 sides measuring 4 cm and 2sides measuring 6 cm?

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A rectangle that has 2sides measuring 4 cm and 2sides measuring 6 cm has a perimeter of 20. To get this answer, you add the sum of all sides: 4+4+6+6=20.