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

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

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

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

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

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

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

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

**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 ______________ - 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.**

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

**12. 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.**

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

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

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

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

**17. 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.**

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

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

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

**21. 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.**

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

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

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

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

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

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

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

**29. ______________ 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.**

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

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

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

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

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

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

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

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

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

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

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

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

**42. 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.**

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

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

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

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

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

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

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

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