Real Numbers Perfect Squares Perfect Cubes Word Problems Mixed Review 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Question 1 - 10 • Where would 3 lie on a number line? A) Between 3 and 4 B) Between 1 and 2 C) Between 9 and 10 D) Between 6 and 7 Answer 1 – 10 • Where would 3 lie on a number line? A) Between 3 and 4 B) Between 1 and 2 C) Between 9 and 10 D) Between 6 and 7 Question 1 - 20 • Which of the following describes all integers: A) A counting number from 1 to infinity. B) A positive number that can be written as a fraction. C) A decimal that does not terminate or repeat. D) A positive or negative number, including zero. NOT a fraction or decimal. Answer 1 – 20 • Which of the following describes all integers: A) A counting number from 1 to infinity. B) A positive number that can be written as a fraction. C) A decimal that does not terminate or repeat. D) A positive or negative number, including zero. NOT a fraction or decimal. Question 1 - 30 • True or false: -3.75 is a natural number. A) True B) False Answer 1 – 30 • True or false: -3.75 is a natural number. A) True B) False Question 1 - 40 • Which of the following describes -7 (Circle ALL that apply). A) Real Number B) Rational Number C) Integer D) Whole Number E) Natural Number F) Irrational Number Answer 1 – 40 • Which of the following describes -7 (Circle ALL that apply). A) Real Number B) Rational Number C) Integer D) Whole Number E) Natural Number F) Irrational Number Question 1 - 50 • Which of the following statements is FALSE: A) All rational numbers are real numbers B) All natural numbers are integers C) All whole numbers are natural numbers D) All Irrational numbers are real numbers Answer 1 – 50 • Which of the following statements is FALSE: A) All rational numbers are real numbers B) All natural numbers are integers C) All whole numbers are natural numbers D) All Irrational numbers are real numbers Question 2 - 10 • Which of the following is a perfect square? A) 42 B) 15 C) 8 D) 49 Answer 2 – 10 • Which of the following is a perfect square? A) 42 B) 15 C) 8 D) 49 Question 2 - 20 • What is the square root of 81? Answer 2 – 20 • What is the square root of 81? 9 Question 2 - 30 • What is the length of each side on the square below: 25 in 2 Answer 2 – 30 • What is the length of each side on the square below: 25 in 2 5 in Question 2 - 40 • What is the area of the square below: 10 in. Answer 2 – 40 • What is the area of the square below: A 100 in 2 10 in. Question 2 - 50 • Which of the following is equivalent to A) 2x B) x C) x/2 D) 4x x 2 ? Answer 2 – 50 • Which of the following is equivalent to A) 2x B) x C) x/2 D) 4x x 2 ? Question 3 - 10 • Which of the following is a perfect cube? A) 343 B) 29 C) 777 D) 30 Answer 3 – 10 • Which of the following is a perfect cube? A) 343 B) 29 C) 777 D) 30 Question 3 - 20 • Which of the following is equivalent to A) 170.67 B) 1536 C) 16 D) 8 3 512 ? Answer 3 – 20 • Which of the following is equivalent to A) 170.67 B) 1536 C) 16 D) 8 3 512 ? Question 3 - 30 • What are the lengths of the sides of the cube below? 3 3 VV 6464inin Answer 3 – 30 • What are the lengths of the sides of the cube below? 4 in. V 64 in 3 Question 3 - 40 • What is the volume of the cube below? 9 in. Answer 3 – 40 • What is the volume of the cube below? 9 in. V 729 in 3 Question 3 - 50 • Which of the following is equivalent to 3 A) x B) 3x C) x/3 D) 6x x 3 ? Answer 3 – 50 • Which of the following is equivalent to 3 A) x B) 3x C) x/3 D) 6x x 3 ? Question 4 - 10 • Michaela has a square picture. The area of the 2 9in square picture is . What is the length of the side of the picture? Answer 4 – 10 • Michaela has a square picture. The area of the 2 9in square picture is . What is the length of the side of the picture? 3 inches Question 4 - 20 • James said all real numbers are rational. Mike said all rational numbers are real. Who is correct? Answer 4 – 20 • James said all real numbers are rational. Mike said all rational numbers are real. Who is correct? Mike Question 4 - 30 • Adam is wrapping a cubic box that has side lengths of 5 inches. What is the volume of Adam’s box? Answer 4 – 30 • Adam is wrapping a cubic box that has side lengths of 5 inches. What is the volume of Adam’s box? V 125 in 3 Question 4 - 40 • Maddy has to make a poster to put in her classroom window. The paper Maddy bought 2 1,000 in is a square with an area of . If the window is 9 inches wide, will the poster fit? Explain. Answer 4 – 40 • Maddy has to make a poster to put in her classroom window. The paper Maddy bought 2 1,000 in is a square with an area of . If the window is 9 inches wide, will the poster fit? Explain. No. The poster is 10 inches wide but the window is only 9 inches wide. Question 4 - 50 • Write an example of a number that is a rational number but not a natural number. Answer 4 – 50 • Write an example of a number that is a rational number but not a natural number. Multiple answers such as: 0, 2.5, -7, -1/3, 7/5, 456 Question 5 - 10 • Between which two numbers does between on a number line? 122 fall Answer 5 – 10 • Between which two numbers does between on a number line? Between 11 and 12 122 fall Question 5 - 20 • What does 12 3 equal? Answer 5 – 20 • What does 12 3 equal? 1728 Question 5 - 30 • Find the volume of the box below: 8 cm. 8 cm. 8 cm. Answer 5 – 30 • Find the volume of the box below: 7 cm. 7 cm. V 343 in 7 cm. 3 Question 5 - 40 • Find the length of the sides of the square below: A 196 cm 2 Answer 5 – 40 • Find the length of the sides of the square below: A 196 cm 2 14 ft. Question 5 - 50 • What is the difference between a rational number and an irrational number? Answer 5 – 50 • What is the difference between a rational number and an irrational number? A rational number can be written as a fraction, an irrational number cannot.