# CBEST California Teacher Exam Prep #2

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

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.

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

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.

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

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.

#### Solve: 5²

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

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

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

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

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.

#### Is 40÷5>, =, or < 49÷7?

40÷5 > 49÷7. In other words, 8 > 7.

#### 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?

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.

#### Palladium, a soft shiny silvery-white metal, is one of six platinum group metals and is relatively rare. It was discovered in 1803 by William Hyde Wollaston. Palladium often replaces platinum since it is cheaper, harder and lighter. It can be drawn into wire or hammered out into sheets, it is often mixed with gold for “white gold” jewelry. Palladium can also be used to make surgical instruments. Automobile manufacturers need the world’s palladium for catalytic converters. Along with gold, silver, and platinum, palladium is a precious metal owned and traded by investors. Palladium mining is an intricate process because it is spread out under the earth’s surface. Mining palladium uses mechanical extraction methods that simplify the process. Makes it easier to get down into the Earth’s crust. The reserves in the upper portions of the crust is becoming depleted, so miners have to dig deeper. Most palladium is in Russian, North America, South Africa, and South America. The largest North American palladium mine - Montana’s Stillwater mine - is located in the United States. In South Africa, there is the largest proportion of palladium and platinum resource located mainly at the Bushveld Igeneous Complex. For what reason is palladium used as a replacement for platinum?

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.

#### What kind of triangle has 1 angle that is 90°?

A triangle that has 1 angle that is 90° is a right triangle. A right triangle has 1 right angle.

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

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.

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

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.

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

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.

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

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.

#### 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?

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.

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

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.

#### What percentage is ¼?

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

#### A radius of a circle is 3 cm. What is its area?

A circle with a radius of 3 cm has an area of 28.26 cm2. The formula for the area of a circle is 3.14 (?) multiplied by the radius squared. 3² = 9, so 3.14 x 9 is 28.26 cm2.

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

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

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