3 rd Nine Weeks Benchmark Review

Question 1 Jimmy hits a baseball on 25 out of 75 tries during practice. What is the experimental probability that he will hit the ball on his next try? Write your answer as a fraction, decimal, AND a percent.

Answer to Question 1

Question 2 For lunch, Claire can choose from hot dogs, hamburgers, or pizza. She can drink milk, orange juice, Gatorade, or coke. For a side order, she can have fruit, chips, or fries. How many possible choices does she have?

Answer to Question 2 To solve: 3 x 4 x 3 Answer is: 36 possible choices

Question 3 A game includes a number cube and a spinner divided into five equal sections. Each player rolls the number cube, and spins the spinner. How many outcomes are possible?

Answer to Question 3 To solve: 6 x 5 Answer is ‘30 outcomes.’

Question 4 A set of cards includes 14 yellow cards, 12 green cards, and 24 blue cards. What is the probability of getting a yellow card, then another yellow card, without replacing the first card?

Answer to Question 4

Question 5 Lisa has a 6 pairs of socks of different colors. How many ways can she choose two socks of different colors?

Answer to Question = possible ways to choose socks of different colors.

Question 6 Solve:

Answer to Question 6 To Solve:

Question 7 Evaluate:

Answer to Question 7

Question 8 Find the solution:

Answer to Question 8

Question 9 Evaluate:

Answer to Question 9

Question 10 Evaluate:

Answer to Question 10

Question 11 Solve:

Answer to Question 11

Question 12 Simplify:

Answer to Question 12

Question 13 What is, x ?

Answer to Question 13

Question 14 What is y ?

Answer to Question 14

Question 15 Solve for x.

Answer to Question 15

Question 16 Solve for y.

Answer to Question 16

Question 17 Find h.

Answer to Question 17

Question 18 Find x.

Answer to Question 18

Question 19 Find s.

Answer to Question 19

Question 20 What is y ?

Answer to Question 20

Question 21 Louis missed 8 of the 40 questions on his test. What percent of the questions did he get wrong?

Answer to Question 21

Question 22 Lisa missed 12 of the 40 questions on her quiz. What percent of the questions did she get correct?

Answer to Question 22

Question 23 A diver is at 67 feet below sea level. The diver sees a shark 57 feet below her. Write an integer to best describe the depth of the shark.

Answer to Question 23 Start at – 67 ft. The shark is 57 below that, so think, go down 57. When I go down, I subtract, – 67 – 57, or – 67 + (– 57). This gives me – 124 ft. or 124 ft. below sea level.

Question 24 The temperature in Seattle, WA was 19ºF. A cold front moved in and dropped the temperature by 24 degrees. What was the temperature in Seattle after the cold front moved in?

Answer to Question 24 To solve: 19 – 24 = – 5 Answer is: – 5ºF

Question 25 The temperature in Kansas City, KS was – 2ºF. The temperature in Orlando, FL was 77ºF. What was the difference between these temperatures?

Answer to Question 25 When taking the difference between two temperatures, start with the higher temperature first, the subtract the low. So, 77 – ( – 2), becomes = 79. Answer is: 79º

Question 26 Suzy walked around a square garden that had a perimeter of 56 yards. What is the area of the garden?

Answer to Question 26 If the perimeter is 56 yards, then divide by 4 to get one of the sides. s = 14 yd. Use the area formula: A = s 2 Then, 14 x 14 = 196 sq. yd. The area is 196 yd 2.

Question 27 Simon walked around a square garden that had an area of 225 sq. yards. He wants to put fencing around the garden. How many feet of fencing would he need to surround the entire garden? (1 yard = 3 feet)

Answer to Question 27 Remember, fencing means putting a ‘perimeter’ around the garden. So, if area is 225, take the square root to find a s. s = 15 yd. A side is 15 yd, but the perimeter is 4s, so then 15 x 4 = 60 yds. BUT, it asks for how many ‘feet’ is needed, so 1 yard = 3 feet, then multiply 60 x 3, and get 180 feet. Answer is: 180 feet

Question 28 Define: Isosceles Triangle

Answer to Question 28 Define: Isosceles Triangle - a triangle with two congruent sides.

Question 29 Define: Scalene Triangle

Answer to Question 29 Define: Scalene Triangle - a triangle with no congruent sides.

Question 30 Define: Equilateral Triangle

Answer to Question 30 Define: Equilateral Triangle - a triangle with all sides congruent.

Question 31 Define: Obtuse Angle

Answer to Question 31 Define: Obtuse Angle - An angle that measures greater than 90º and less than 180º.

Question 32 Define: Acute Angle

Answer to Question 32 Define: Acute Angle - An angle that measures less than 90º.

Question 33 Define: Right Angle

Answer to Question 33 Define: Right Angle - An angle that measures 90º.

Question 34 Define: Supplementary Angle

Answer to Question 34 Define: Supplementary Angle - Two or more angles whose sum equals 180º.

Question 35 Define: Complementary Angle

Answer to Question 35 Define: Complementary Angle - Two angles whose sum equals 90º.

Question 36 Define: Chord

Answer to Question 36 Define: Chord - Segment with both endpoints on the circle.

Question 37 Define: Diameter

Answer to Question 37 Define: Diameter - Segment that has two endpoints on the circle, and passes through the center of the circle.

Question 38 Define: Regular Polygon

Answer to Question 38 Define: Regular Polygon - A polygon with all sides and all angles congruent.

Question 39 Define: Segment

Answer to Question 39 Define: Segment - Two points and all the points in a straight path between them.

Question 40 Define: Line

Answer to Question 40 Define: Line -All the points in a never ending straight path.

Question 41 Define: Adjacent Angle

Answer to Question 41 Define: Adjacent Angle -Angles that share a vertex and one side, but have no common interior points.

Question 42 Define: Hexagon

Answer to Question 42 Define: Hexagon -A six sided polygon.

Question 43 Define: Decagon

Answer to Question 43 Define: Decagon -A ten sided polygon.

List of Covered Concepts Probability Counting principle Integer Rules Order of Operations Solving equations

List of Covered Concepts, cont… Geometry vocabulary Proportions in word problems Area and perimeter Absolute value