# CBEST California Teacher Exam Prep 2

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

Answer: C -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 kind of triangle has 1 angle that is 90°?

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

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

Answer: A-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.

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

Answer: C - 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.

#### 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?

Answer: C- 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.

#### Solve: 5²

Answer: C - 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?

Answer: D- 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.

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

Answer: B -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.

#### What percentage is ¼?

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

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

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

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

Answer: C - 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.

Answer: D- 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.

#### 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?

Answer: C - 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.

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