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Grade 8 Math Chart

Grade 8 Math Chart. By: Brandon Wright. Perimeter. The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w). What is the perimeter of this rectangle? 8 in. 2 in.

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Grade 8 Math Chart

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  1. Grade 8 Math Chart By: Brandon Wright

  2. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)

  3. What is the perimeter of this rectangle? 8 in. 2 in. Answer- 20 in.

  4. What is the perimeter of this square? 4 in. 4 in. Answer- 16 in.

  5. Circumference The perimeter of a circle Circle C= 2πr or C= πd

  6. What is the circumference of a circle if the diameter is14 cm.? Answer- 42 cm.

  7. Area The area is the surface of an object measured in squared units Square A= s2 Rectangle A= lw or A= bh Triangle A= 1/2 bh or A= bh/2

  8. Area Continued Trapezoid A= 1/2 (b1 + b2) or A=(b1+b2)h/2 Circle A= πr2

  9. What is the area of this square? 7 in. 7 in. Answer- 49 in2

  10. What is the area of this rectangle? 8 cm. 5cm. Answer- 40 cm2

  11. What is the area of this triangle? 9 in. 4 in. Answer- 18 in2

  12. What is the area of this trapezoid if the height is 9 cm.? 11 cm. 15 cm. Answer- 117 cm2

  13. What is the area of a circle if the radius is 12 cm.? Answer- 452 cm2

  14. P represents the perimeter of the base of a three dimensional figure. B is the area of the base of a three dimensional figure.

  15. Surface Area The extent of a 2D surface enclosed in a boundary Cube 6s2 Prism (Lateral) Ph Prism (Total) Ph + 2B Pyramid (Lateral) 1/2 PL

  16. Surface Area Cont. Pyramid (Total) ½ Pl + B Cylinder (Lateral) 2πrh Cylinder (Total) 2πr(h + r)

  17. What’s the surface area of this cube if one side is 8 in. long? 8 in. Answer- 384 in.

  18. What is the surface area of this lateral prism if the height is 5 cm. and the perimeter of the base is 10 cm.? Answer- 50 cm.

  19. What is the surface area of this total prism if the perimeter of the base is 10 cm. the area is 16 cm. and the height is 18 cm.? Answer- 212 cm.

  20. What is the surface area of this lateral prism if the base’s perimeter is 10 in. and the length is 8 in.? Answer- 40 in.

  21. What’s the surface area of a total pyramid if the area of the base is 16 in. the perimeter is 16 in. and the length is 8 in.? Answer- 72 in.

  22. What’s the surface area of a lateral cylinder if the radius is 8 cm. and the height is 10 cm.? Answer- 240 cm.

  23. What is the surface area of a total cylinder if the height is 10 in. and the radius is14 in.? Answer- 2016 in.

  24. Volume The amount of space an object takes up Cube S= 6s2 Prism S= Ph Pyramid S= ½ Pl Cylinder S= 2πrh

  25. What is the volume of a prism that the base area is 16 in. and the height is 12 in.? Answer- 192 in3

  26. What is the volume of a cylinder if the area of the base is 36 cm. and the height is 14 cm.? Answer- 504 cm3

  27. What is the volume of a pyramid if the area of the base is 16 in. and the height is 9 in.? Answer- 48 in3

  28. What is the volume of a cone if the area of the base is 9 cm. and the height is also 9 cm.? Answer- 27 cm3

  29. What is the volume of this sphere if the radius is 5 in.? Answer- 500 in3

  30. Pi Ratio of a circumference of a circle of its diameter 3.14 or 22/7

  31. What is the area of a circle if the diameter is 6 in. and the formula is πr2? Answer- 108 in2

  32. Pythagorean Theorem A theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides a2 + b2= c2

  33. If two angles in a triangle are 100o and 35o than what is the measure of the third angle? Answer- 45o

  34. Simple Interest Formula When you borrow money and need to pay it back I= prt

  35. P = $15,000 R = 15% T = 3 years Find I. Answer- $6750

  36. Linear Equation An equation whereby letters represent real numbers and whose graph is a line 4y = 2(x + 2y)

  37. x= 4(3y) – 12 If y is 3, then what is x? Answer- 24

  38. Function The idea that one quantity completely determines another quantity

  39. x {2,4,6,8} Find the y values if the function is x2=y. y {4,8,12,16}

  40. Function Notation A notation that describes a function f(x) = 2x 2 + 3x + 4

  41. Domain The x point

  42. What is the domain? (8, 6) Answer- 8

  43. Range The y point

  44. (8, 6) Whats the range? Answer- 6

  45. Ratios Comparing a number to another number like 3:4, 3 to 4, or 3/4

  46. The ratio of boys to girls is 5:3 so if there is 30 girls how many boys are there? What is the new ratio? Answer- 18; 30:18

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