1. Unit 1: Real Numbers
Created by Educational Technology Network

2. Real Numbers
Perfect Squares
Perfect Cubes
Word Problems
Mixed Review 10 20 30 40 50

3. Question 1 - 10 Where would 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

4. Answer 1 – 10 Where would 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

5. 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.

6. 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.

7. Question 1 - 30 True or false: -3.75 is a natural number. A) True
B) False

8. Answer 1 – 30 True or false: -3.75 is a natural number. A) True
B) False

9. Question
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

10. 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

11. 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

12. 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

13. Question 2 - 10 Which of the following is a perfect square? A) 42
B) 15
C) 8
D) 49

14. Answer 2 – 10 Which of the following is a perfect square? A) 42 B) 15
D) 49

15. Question
What is the square root of 81?

16. Answer 2 – 20
What is the square root of 81? 9

17. Question
What is the length of each side on the square below:

18. Answer 2 – 30 What is the length of each side on the square below:
5 in

19. Question
What is the area of the square below:
10 in.

20. Answer 2 – 40
What is the area of the square below:
10 in.

21. Question 2 - 50 Which of the following is equivalent to ? A) 2x B) x
C) x/2
D) 4x

22. Answer 2 – 50 Which of the following is equivalent to ? A) 2x B) x
C) x/2
D) 4x

23. Question 3 - 10 Which of the following is a perfect cube? A) 343 B) 29
D) 30

24. Answer 3 – 10 Which of the following is a perfect cube? A) 343 B) 29
D) 30

25. Question 3 - 20 Which of the following is equivalent to ? A) 170.67
B) 1536
C) 16
D) 8

26. Answer 3 – 20 Which of the following is equivalent to ? A) 170.67
B) 1536
C) 16
D) 8

27. Question
What are the lengths of the sides of the cube below?

28. Answer 3 – 30 What are the lengths of the sides of the cube below?
4 in.

29. Question
What is the volume of the cube below?
9 in.

30. Answer 3 – 40
What is the volume of the cube below?
9 in.

31. Question 3 - 50 Which of the following is equivalent to ? A) x B) 3x
C) x/3
D) 6x

32. Answer 3 – 50 Which of the following is equivalent to ? A) x B) 3x
C) x/3
D) 6x

33. Question
Michaela has a square picture. The area of the square picture is . What is the length of the side of the picture?

34. Answer 4 – 10
Michaela has a square picture. The area of the square picture is . What is the length of the side of the picture?
3 inches

35. Question
James said all real numbers are rational. Mike said all rational numbers are real. Who is correct?

36. Answer 4 – 20
James said all real numbers are rational. Mike said all rational numbers are real. Who is correct?
Mike

37. Question
Adam is wrapping a cubic box that has side lengths of 5 inches. What is the volume of Adam’s box?

38. Answer 4 – 30
Adam is wrapping a cubic box that has side lengths of 5 inches. What is the volume of Adam’s box?

39. Question
Maddy has to make a poster to put in her classroom window. The paper Maddy bought is a square with an area of If the window is 9 inches wide, will the poster fit? Explain.

40. Answer 4 – 40
Maddy has to make a poster to put in her classroom window. The paper Maddy bought 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.

41. Question
Write an example of a number that is a rational number but not a natural number.

42. 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

43. Question
Between which two numbers does fall between on a number line?

44. Answer 5 – 10
Between which two numbers does fall between on a number line?
Between 11 and 12

45. Question
What does equal?

46. Answer 5 – 20
What does equal?
1728

47. Question
Find the volume of the box below:
8 cm.
8 cm.
8 cm.

48. Answer 5 – 30
Find the volume of the box below:
7 cm.
7 cm.
7 cm.

49. Question
Find the length of the sides of the square below:

50. Answer 5 – 40
Find the length of the sides of the square below:
14 ft.

51. Question
What is the difference between a rational number and an irrational number?

52. 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.