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

**2. ______________ 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.**

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

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

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

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

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

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

**9. 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.**

**10. 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.**

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

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

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

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

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

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

**17. The set of all possible outcomes is _____________.**

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

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

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

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

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

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

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

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

**26. A ___________is for organizing a set of data that shows the number of times each item or number appears.**

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

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

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

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

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

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

**33. 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.**

**34. In a__________ - an object flips over a line without changing its size or shape.**

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

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

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

**38. When two or more numbers are multiplied - each number is called a _________ .**

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

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

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

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

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

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

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

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

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

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

**49. 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.**

**50. The ____________ of a circle is always a little more than three times the diameter.**