1st Quarter Reviewer Mathematics PDF

**Mathematics** **1^st^ Quarter Reviewer** **Figures** **No. of Diagonals** **Regular Names** **No. of Triangles can form** ------------- ---------------------- ---------------------- ------------------------------- 0 Equilateral Triangle 1...

**Mathematics** **1^st^ Quarter Reviewer** **Figures** **No. of Diagonals** **Regular Names** **No. of Triangles can form** ------------- ---------------------- ---------------------- ------------------------------- 0 Equilateral Triangle 1 2 Square 2 5 Regular Pentagon 3 9 Regular Hexagon 4 14 Regular Heptagon 5 20 Regular Octagon 6 27 Regular Nonagon 7 35 Regular Decagon 8 **Figures** **NO. OF SIDES, ANGLES, and VERTICES** **NAME** ------------- ---------------------------------------- --------------- 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon **Definition of Terms:** 1. **Regular Polygon** is a polygon with a congruent sides and angles. 2. **Irregular Polygon** is a polygon that does not have a congruent sides or angles. 3. **Congruent** in math means having the same measure of sides or angles. 4. **Convex polygon** is a polygon that all interior angles are less than 180 degrees. 5. **5. Non-Convex Polygon or Concave** is a polygon that at least one of its interior angle is more than 180 degrees. 6. **6.** **Equilateral Triangle** All sides are equal **7. Isosceles Triangle** At least two sides are qual **8. Scalene Triangle** No congruent sides **9. Supplementary Angles --** two angles have a sum of 180 degrees angle. **10.** **Complimentary Angles** two angles have a sum of ninety- degrees angle **11. Adjacent Angles** are two angles with common side **12. Linear Pair** are two angles formed a straight line. **13. Vertical Angles** are two opposite angles with common vertex **14. Sum of the exterior angles of a polygon** is 360 degrees. **15. Sum of an adjacent interior and exterior angles** is 180 degrees. **16. Vertical Angles** is always congruent **17. Number of triangle that can form in a polygon:** n-2 **18. Measure of the interior angles of a polygon:** (n-2)180 **19. Percentage increase** measures the amount of increase in comparison to the original value, expressed as percentage. **20. Percentage Decrease** measures the amount decrease in comparison to the original value, expressed as percentage. **Formulas:** **OV** means original value **NV** means new value **I** means increase **D** means decrease **PI** means percentage increase **PD** means percentage decrease **PI =** (NV -- OV) / OV x 100% OV = NV -- I NV = OR + I I = NV -- OV **PD =** (OV -- NV) / OV x 100% OV = NV + I NV = OR - I I = OV -- NV **21. Discount** is the *[reduction in the original price]* of a commodity (service or product) **D = OP x R** **Note**: **D** means discount, **OP** means original price, and **R** means rate of discount. **22. Sale Price** is the *[final price]* at which a product or item is sold to a customer *[after discounts have been applied.]* **SP = OP -- D** **Note: SP** means Sales Price, **OP** means original price, and **D** means discount **23. Selling Price** is the price that the customers pay for the product without a discount *[also known as the original price]*. **OP = SP -- D** or **OP = SP/1 -- R** **Note: OP** means original price, **SP** means sales price, **D** means discount, and **R** means rate of discount **24. Commission** refers to the amount of money earned by a person from selling something. **C=TS x R** **Note: C** means commission**,** **TS** means total sales, and **R** means commission rate **25. Commission rate** is the percentage taken off from the selling price of the item sold. **R = C/TS x 100%** **Note: C** means commission**,** **TS** means total sales, and **R** means commission rate **26. Sales Tax** is the amount added to the total amount of product, it is commonly known as *[Value Added Tax (VAT)]*. **ST = TAP x R** **Note: ST** means sales tax, **TAP** means total amount of product, and **R** means rate of sales tax **27. Interest --** the amount earned from investing or borrowing money **28. Interest rate --** the percent of interest **29. Principal --** the amount of money invested or borrowed **30.** **Time --** the length of time the money was invested or the length of time the borrowed money will be paid (in years) I = Prt P = I/rt r = I/Pt t = I/Pr **Note:** **I** means interest **P** means Principal Amount **r** means rate of interest **t** means time (in terms of year) **30. Ratio** is the comparison of two different quantities with the same unit **31. Rate** is a ratio comparing two quantities of different kinds of units. **32. Unit Rate** a rate for one of something. It has a denominator of 1 unit when written as a fraction. **33. Whole Numbers --** 25, 52, 90 **34. Proper Fraction --** ¼, 3/5, 2/13 **35.** **Improper Fraction** -- 4/3, 11/2 **36**. **Mixed Fraction** -- 63 ¼ , 2 ½ **37. Terminating Decimal** -- 1.25, 3.14, 142.24 **38. Non-terminating decimal** 2.718.... and 4.156254....... **39. Repeating Decimal --** 0.333..., 12.757575..., 1.23232 **40. Percentage** -- 10%, 54%, 100% **41. Percentage to Fraction** **Form to Decimal Form** 23% = 23/100 = 0.231 4.2% = 14.2/100 = 0.142 **42.** Rational Number is a number that can be written as a ratio of two integers, where the denominator is not zero. **Examples:** Integers, fractions, Mixed Numbers, and percentage **43. Ascending Order of Rational** **Numbers** 1.1, 1 3/10, 1.9, 1 ½, 1.2 1.1, 1.3, 1.9, 1.5, 1.2 **1.1, 1.2, 1.3, 1.5, 1.9** **44. Descending Order of Rational** **Numbers** 1.1, 1 3/10, 1.9, 1 ½, 1.2 1.1, 1.3, 1.9, 1.5, 1.2 **1.9, 1.5, 1.3, 1.2, 1.1** **45.** If Php10 is 5% of a number, what is the number? *10/0.05 =* Php **** **46.** What is 18% of 150?*150 x 0.18 =***** **47.** What percent of 180 is 90? 90/180 = 0.05 = **[50%]** **48.** The book is worth Php 199 and on 30% sale. How much is the discount price? *199 x 0.3 =* **[59.7]** **49.** [How much will you invest (principal amount)] in 10 years to earn Php 75,000 [(interest)] with an interest rate of 6% a year? P=I/rt P=75,000/0.06x10 P=75,000/0.6 **P=125,000** **50.** Loisa bought a ballpens on Shoppee worth Php 1,300. She plans to sell it to her classmates worth Php 11 each. How many ballpens does she buy in Php1,300 if the ballpen is worth Php 9 pesos each on Shoppee? How much her profit if she will be able to sell it all? **** **51.** 7 boys can finish the work for 5 hours, how many workers would it be if the work should finish within 8 hours?