## 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. 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.**

**2. To express a ______ as ________a - express the percent as a fraction with a denominator of 100 - then simplify.**

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

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

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

**6. A _________ is an equation that shows two ratios are equivalent.**

**7. 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.**

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

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

**10. 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.**

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

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

**13. To _________ - write the mixed numbers as improper fractions. Replace the divisor with its reciprocal and multiply.**

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

**15. Together - the x coordinate and y coordinate form an ___________.**

**16. In a power - the number used as a factor is the base. In 10³ - the ________ is 10. That is - 10³ = 10 X 10 X 10.**

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

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

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

**20. Use __________ to compare two decimals - using the order symbols.**

**21. A _____________ is a system used to condense a set of data where the greatest place value of the data forms the stem and next greatest place value forms the leaves.**

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

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

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

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

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

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

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

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

**30. 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).**

**31. The line or the fold is called the __________ .**

**32. To add ____________ with common denominators - write the sum of the numerators over the common denominators. Then add the whole numbers.**

**33. To _____________ - express the mixed numbers as improper fractions - multiply - and simplify the results.**

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

**35. ______________ 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.**

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

**37. A _______ is a comparison of two numbers with different units of measure.**

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

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

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

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

**42. An _________ is a mathematical sentence that contains < - > - - ≤ - or ≥ .**

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

**44. Make a __________ of an integer by using its placement on the number line.**

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

**46. To add or subtract fractions with unlike denominators - you need to change the fractions to equivalent fractions with ____________ before you find the sum or difference.**

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

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

**49. The rules to follow when more than one operation is used are called the ___________.**

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