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1 ESO - Unit 06 - Exercises 1.6.4 - Area.

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Gogely The Great

1 ESO - Unit 06 - Exercises 1.6.4 - Area.

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UNIT 06 February 1. A wheat “fanega” weights 47 k. a) How many kilos of wheat are needed to plant a field of 10 “fanegas”? b) How many “fanegas” of land can be planted with 1,000 kg of wheat? 2. How long did it will take to 3 pairs of oxen to plow a field that has an area of 48 “yugadas”? 3. If a tractor plows the field of the previous exercise in two days. How many pairs of oxen is the tractor equivalent? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.1
UNIT 06 February 4. Calculate the surface of these figures by taking the square of the grid as a unit: 5. Calculate the surface of the blue polygon and the green polygon. Next, make an estimate of the surface of the circle. Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.2
UNIT 06 February 6. Give the most sensible unit for measuring the area of each of the following. a) Portugal. b) A house. c) A sheet of paper. d) A television screen. e) A football pitch. 7. Write in m2 : 𝒂𝒂) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝒌𝒌𝒌𝒌𝟐𝟐 𝒃𝒃) 𝟑𝟑𝟖𝟖 𝒅𝒅𝒅𝒅𝒅𝒅𝟐𝟐 𝒄𝒄) 𝟏𝟏𝟐𝟐, 𝟖𝟖𝟖𝟖𝟖𝟖 𝒄𝒄𝒄𝒄𝟐𝟐 𝒅𝒅) 𝟓𝟓. 𝟐𝟐 𝒉𝒉𝒉𝒉𝟐𝟐 𝒆𝒆) 𝟕𝟕𝟎𝟎 𝒅𝒅𝒅𝒅𝟐𝟐 𝒇𝒇) 𝟖𝟖, 𝟓𝟓𝟓𝟓𝟓𝟓, 𝟎𝟎𝟎𝟎𝟎𝟎 𝒎𝒎𝒎𝒎𝟐𝟐 8. Write in dam2 : 𝒂𝒂) 𝟑𝟑 𝒌𝒌𝒌𝒌𝟐𝟐 𝒃𝒃) 𝟕𝟕𝟎𝟎 𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟐𝟐𝟓𝟓, 𝟎𝟎𝟎𝟎𝟎𝟎 𝒅𝒅𝒎𝒎𝟐𝟐 𝒅𝒅) 𝟎𝟎. 𝟓𝟓 𝒉𝒉𝒉𝒉𝟐𝟐 9. Write in cm2 : 𝒂𝒂) 𝟎𝟎. 𝟎𝟎𝟎𝟎 𝒅𝒅𝒅𝒅𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟎𝟎. 𝟒𝟒𝟒𝟒 𝒅𝒅𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟓𝟓. 𝟐𝟐 𝒎𝒎𝟐𝟐 𝒅𝒅) 𝟖𝟖 𝒎𝒎𝒎𝒎𝟐𝟐 10. Complete: 𝒂𝒂) 𝟓𝟓. 𝟏𝟏 𝒌𝒌𝒎𝒎𝟐𝟐 = 𝒉𝒉𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟎𝟎. 𝟎𝟎𝟎𝟎 𝒉𝒉𝒉𝒉𝟐𝟐 = 𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟒𝟒𝟐𝟐𝟐𝟐 𝒄𝒄𝒎𝒎𝟐𝟐 = 𝒎𝒎𝒎𝒎𝟐𝟐 𝒅𝒅) 𝟖𝟖𝟐𝟐𝟐𝟐 𝒉𝒉𝒎𝒎𝟐𝟐 = 𝒌𝒌𝒎𝒎𝟐𝟐 𝒆𝒆) 𝟓𝟓𝟑𝟑, 𝟎𝟎𝟎𝟎𝟎𝟎 𝒎𝒎𝟐𝟐 = 𝒅𝒅𝒂𝒂𝒂𝒂𝟐𝟐 𝒇𝒇) 𝟓𝟓𝟐𝟐, 𝟖𝟖𝟖𝟖𝟖𝟖 𝒎𝒎𝒎𝒎𝟐𝟐 = 𝒅𝒅𝒎𝒎𝟐𝟐 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.3
UNIT 06 February 11. Write in complex form: 𝒂𝒂) 𝟓𝟓𝟖𝟖𝟖𝟖. 𝟐𝟐𝟐𝟐 𝒉𝒉𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟓𝟓𝟖𝟖𝟖𝟖, 𝟐𝟐𝟐𝟐𝟐𝟐. 𝟓𝟓 𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟕𝟕, 𝟎𝟎𝟎𝟎𝟎𝟎. 𝟔𝟔𝟔𝟔𝟔𝟔 𝒅𝒅𝒎𝒎𝟐𝟐 12. Calculate: 𝒂𝒂) ( 𝟔𝟔 𝒅𝒅𝒂𝒂𝒂𝒂𝟐𝟐 𝟓𝟓𝟐𝟐 𝒎𝒎𝟐𝟐 𝟐𝟐𝟕𝟕 𝒄𝒄𝒎𝒎𝟐𝟐) − 𝟏𝟏𝟒𝟒𝟒𝟒. 𝟑𝟑𝟖𝟖𝟖𝟖 𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟓𝟓, 𝟐𝟐𝟐𝟐𝟐𝟐. 𝟗𝟗 𝒄𝒄𝒄𝒄𝟐𝟐 + (𝟏𝟏𝟏𝟏 𝒅𝒅𝒅𝒅𝟐𝟐 𝟏𝟏𝟑𝟑 𝒄𝒄𝒄𝒄𝟐𝟐 𝟐𝟐𝟕𝟕 𝒎𝒎𝒎𝒎𝟐𝟐) 𝒄𝒄) ( 𝟏𝟏𝟓𝟓 𝒉𝒉𝒉𝒉𝟐𝟐 𝟏𝟏𝟒𝟒 𝒅𝒅𝒂𝒂𝒎𝒎𝟐𝟐 𝟐𝟐𝟓𝟓 𝒎𝒎𝟐𝟐) ∙ 𝟒𝟒 𝒅𝒅) (𝟕𝟕 𝒅𝒅𝒎𝒎𝟐𝟐 𝟐𝟐𝟖𝟖 𝒄𝒄𝒎𝒎𝟐𝟐 𝟔𝟔𝟒𝟒 𝒎𝒎𝒎𝒎𝟐𝟐) ∙ 𝟐𝟐𝟐𝟐 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.4

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1 ESO - Unit 06 - Exercises 1.6.4 - Area.

  • 1. UNIT 06 February 1. A wheat “fanega” weights 47 k. a) How many kilos of wheat are needed to plant a field of 10 “fanegas”? b) How many “fanegas” of land can be planted with 1,000 kg of wheat? 2. How long did it will take to 3 pairs of oxen to plow a field that has an area of 48 “yugadas”? 3. If a tractor plows the field of the previous exercise in two days. How many pairs of oxen is the tractor equivalent? Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.1
  • 2. UNIT 06 February 4. Calculate the surface of these figures by taking the square of the grid as a unit: 5. Calculate the surface of the blue polygon and the green polygon. Next, make an estimate of the surface of the circle. Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.2
  • 3. UNIT 06 February 6. Give the most sensible unit for measuring the area of each of the following. a) Portugal. b) A house. c) A sheet of paper. d) A television screen. e) A football pitch. 7. Write in m2 : 𝒂𝒂) 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 𝒌𝒌𝒌𝒌𝟐𝟐 𝒃𝒃) 𝟑𝟑𝟖𝟖 𝒅𝒅𝒅𝒅𝒅𝒅𝟐𝟐 𝒄𝒄) 𝟏𝟏𝟐𝟐, 𝟖𝟖𝟖𝟖𝟖𝟖 𝒄𝒄𝒄𝒄𝟐𝟐 𝒅𝒅) 𝟓𝟓. 𝟐𝟐 𝒉𝒉𝒉𝒉𝟐𝟐 𝒆𝒆) 𝟕𝟕𝟎𝟎 𝒅𝒅𝒅𝒅𝟐𝟐 𝒇𝒇) 𝟖𝟖, 𝟓𝟓𝟓𝟓𝟓𝟓, 𝟎𝟎𝟎𝟎𝟎𝟎 𝒎𝒎𝒎𝒎𝟐𝟐 8. Write in dam2 : 𝒂𝒂) 𝟑𝟑 𝒌𝒌𝒌𝒌𝟐𝟐 𝒃𝒃) 𝟕𝟕𝟎𝟎 𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟐𝟐𝟓𝟓, 𝟎𝟎𝟎𝟎𝟎𝟎 𝒅𝒅𝒎𝒎𝟐𝟐 𝒅𝒅) 𝟎𝟎. 𝟓𝟓 𝒉𝒉𝒉𝒉𝟐𝟐 9. Write in cm2 : 𝒂𝒂) 𝟎𝟎. 𝟎𝟎𝟎𝟎 𝒅𝒅𝒅𝒅𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟎𝟎. 𝟒𝟒𝟒𝟒 𝒅𝒅𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟓𝟓. 𝟐𝟐 𝒎𝒎𝟐𝟐 𝒅𝒅) 𝟖𝟖 𝒎𝒎𝒎𝒎𝟐𝟐 10. Complete: 𝒂𝒂) 𝟓𝟓. 𝟏𝟏 𝒌𝒌𝒎𝒎𝟐𝟐 = 𝒉𝒉𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟎𝟎. 𝟎𝟎𝟎𝟎 𝒉𝒉𝒉𝒉𝟐𝟐 = 𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟒𝟒𝟐𝟐𝟐𝟐 𝒄𝒄𝒎𝒎𝟐𝟐 = 𝒎𝒎𝒎𝒎𝟐𝟐 𝒅𝒅) 𝟖𝟖𝟐𝟐𝟐𝟐 𝒉𝒉𝒎𝒎𝟐𝟐 = 𝒌𝒌𝒎𝒎𝟐𝟐 𝒆𝒆) 𝟓𝟓𝟑𝟑, 𝟎𝟎𝟎𝟎𝟎𝟎 𝒎𝒎𝟐𝟐 = 𝒅𝒅𝒂𝒂𝒂𝒂𝟐𝟐 𝒇𝒇) 𝟓𝟓𝟐𝟐, 𝟖𝟖𝟖𝟖𝟖𝟖 𝒎𝒎𝒎𝒎𝟐𝟐 = 𝒅𝒅𝒎𝒎𝟐𝟐 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.3
  • 4. UNIT 06 February 11. Write in complex form: 𝒂𝒂) 𝟓𝟓𝟖𝟖𝟖𝟖. 𝟐𝟐𝟐𝟐 𝒉𝒉𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟓𝟓𝟖𝟖𝟖𝟖, 𝟐𝟐𝟐𝟐𝟐𝟐. 𝟓𝟓 𝒎𝒎𝟐𝟐 𝒄𝒄) 𝟕𝟕, 𝟎𝟎𝟎𝟎𝟎𝟎. 𝟔𝟔𝟔𝟔𝟔𝟔 𝒅𝒅𝒎𝒎𝟐𝟐 12. Calculate: 𝒂𝒂) ( 𝟔𝟔 𝒅𝒅𝒂𝒂𝒂𝒂𝟐𝟐 𝟓𝟓𝟐𝟐 𝒎𝒎𝟐𝟐 𝟐𝟐𝟕𝟕 𝒄𝒄𝒎𝒎𝟐𝟐) − 𝟏𝟏𝟒𝟒𝟒𝟒. 𝟑𝟑𝟖𝟖𝟖𝟖 𝒎𝒎𝟐𝟐 𝒃𝒃) 𝟓𝟓, 𝟐𝟐𝟐𝟐𝟐𝟐. 𝟗𝟗 𝒄𝒄𝒄𝒄𝟐𝟐 + (𝟏𝟏𝟏𝟏 𝒅𝒅𝒅𝒅𝟐𝟐 𝟏𝟏𝟑𝟑 𝒄𝒄𝒄𝒄𝟐𝟐 𝟐𝟐𝟕𝟕 𝒎𝒎𝒎𝒎𝟐𝟐) 𝒄𝒄) ( 𝟏𝟏𝟓𝟓 𝒉𝒉𝒉𝒉𝟐𝟐 𝟏𝟏𝟒𝟒 𝒅𝒅𝒂𝒂𝒎𝒎𝟐𝟐 𝟐𝟐𝟓𝟓 𝒎𝒎𝟐𝟐) ∙ 𝟒𝟒 𝒅𝒅) (𝟕𝟕 𝒅𝒅𝒎𝒎𝟐𝟐 𝟐𝟐𝟖𝟖 𝒄𝒄𝒎𝒎𝟐𝟐 𝟔𝟔𝟒𝟒 𝒎𝒎𝒎𝒎𝟐𝟐) ∙ 𝟐𝟐𝟐𝟐 Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.6.4.4