## Test your basic knowledge |

# Important Math Facts

**Instructions:**

- Answer 50 questions in 15 minutes.
- If you are not ready to take this test, you can study here.
- Match each statement with the correct term.
- Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

**1. Two angles are ___________ if the sum of their measures is 90°.**

**2. The ______________ are the numbers of pieces of data that can represent the whole set of data. These common measures of central tendency are mean - median - and mode.**

**3. A _______ is the comparison of two numbers by division.**

**4. The __________ of a solid is the total area of its exterior surfaces.**

**5. To ____________ - replace the divisor with its reciprocal and then multiply to get your answer.**

**6. A _________ is a symbol - usually a letter - used to represent a number.**

**7. The _________ states that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products. For example - 3(8 + 2) = (3 x 8) + (3 x 2).**

**8. A _________ is a randomly-selected group that is used to represent a whole population.**

**9. ______________ are two events in which either one or the other must take place - but they cannot both happen at the same time. The sum of their probabilities is one.**

**10. Similar figures have the same shape but different sizes. The symbol ~ means _________ .**

**11. Instead of writing large numbers with all the zeros - you can use _________ . For example - 4 -250 -000 -000 = 4.25 x 10⁹.**

**12. The symbol < is read as ________ .**

**13. _________ - _________ - and_______may be written by first writing each one as a fraction with a denominator of 100.**

**14. In a __________ - an object slides from one position to another without changing its size or shape.**

**15. The _________ of an integer is the distance of the integer from zero.**

**16. To ______________ - if the denominators are unlike - write equivalent fractions with a common denominator. Subtract the fractions first - and rename if necessary. Then subtract the whole numbers. Simplify if possible.**

**17. To __________ an algebraic expression means to substitute a value for the variables and apply the rules for order of operation.**

**18. A _______ is a ratio that compares a number to 100.**

**19. A _________ has six rectangular faces. To find the surface area - find the sum of the areas of the six faces.**

**20. The symbol ______ means percent.**

**21. Use number lines to ________ two decimals.**

**22. The surface area of a __________ is the sum of the areas of two circles and a rectangle.**

**23. The set of ________ consists of the positive whole numbers - zero - and the opposites of the positive whole numbers.**

**24. The symbol > is read as _________.**

**25. The ___________ of a circle is equal to π times its diameter or π times twice its radius. C = π d or C = 2 π r.**

**26. A ___________ is a transformation that turns a line or shape around a fixed point.**

**27. The opposite of a positive integer is a ________ .**

**28. To add mixed numbers with unlike denominators - write equivalent fractions with a ___________ . Add the whole numbers and add the fractions.**

**29. The ________ of an angle is the common endpoint of the rays forming the angle.**

**30. The symbol ≤ is read as __________ .**

**31. An ___________ is a combination of numbers - variables - and operations.**

**32. A diagram used to show the total number of possible outcomes in a probability experiment is called a _____________.**

**33. The symbol ≥ is read as ______________.**

**34. ___________ is a number that can be written using an exponent. For example - 3² means three to the second power.**

**35. The _________ of a circle is twice the length of the radius.**

**36. A _________ is a special kind of bar graph that shows frequency of data.**

**37. The ________ is used to represent the ratio of distance on the map to the actual distance.**

**38. An approximation of pi is 3.14 - or _______ .**

**39. If a figure can be divided in half by a line so that the two halves match each other - the figure is __________ .**

**40. Prime factorization can be written using ________ . For example - 2 x 2 x 3 = 2² x 3**

**41. A ___________ is a proportion with one fraction with a denominator of 1.**

**42. To ___________ - multiply the numerators and then multiply the denominators. Write the product in lowest terms.**

**43. _________ integers are the same distance from zero in opposite directions on the number line.**

**44. In a power - the number of times the base is used as a factor is the ________ . In 5³ - the exponent is 3.**

**45. An ________ is a mathematical sentence that contains the equal sign.**

**46. When you add or subtract _________ that have the same or like denominators - you only add or subtract the numerators. The denominator stays the same.**

**47. Both addition and multiplication are _________ . This means that order doesnft change the sum or product.**

**48. A figure that can be rotated 180° about a point so that it matches the original figure has ______ .**

**49. Two angles are ___________ if the sum of their measures is 180°.**

**50. To express a ______ as a _______ - rewrite the percent as a fraction with a denominator of 100 - and then express the fraction as a decimal.**