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

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

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

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

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

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

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

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

**9. 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).**

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

**11. 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.**

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

**13. 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.**

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

**15. 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.**

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

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

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

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

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

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

**22. 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.**

**23. 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.**

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

**45. Both addition and multiplication are __________ . This means that grouping addends or factors will not change the sum or product.**

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

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

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

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

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