GED Mathematical Reasoning Preparation Course: GED geometry and measurement
Themaquiz zonder tijdslimiet: 17 vragen over GED geometry and measurement, met een uitleg na elk antwoord. Vragen en antwoorden worden elke keer gehusseld.
Themaquiz 3: GED geometry and measurement
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Vraag 1 van 17
Toon antwoord
Antwoord: D. 46 feet
Perimeter of a rectangle = 2l + 2w = 2(14) + 2(9) = 46 feet.
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Vraag 2 van 17
Toon antwoord
Antwoord: C. 180 square feet
Area of a rectangle = length × width = 12 × 15 = 180 square feet.
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Vraag 3 van 17
Toon antwoord
Antwoord: A. 35 square inches
Area of a triangle = 1/2 × base × height = 1/2 × 10 × 7 = 35 square inches.
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Vraag 4 van 17
Toon antwoord
Antwoord: A. 78.5 square inches
Area = πr² = 3.14 × 5 × 5 = 78.5 square inches. 31.4 is the circumference, not the area.
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Vraag 5 van 17
Toon antwoord
Antwoord: D. 43.96 inches
Circumference = πd = 3.14 × 14 = 43.96 inches. Use the diameter, or 2 × the radius.
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Vraag 6 van 17
Toon antwoord
Antwoord: B. 50 square feet
Area = 1/2 × h × (b₁ + b₂) = 1/2 × 5 × (8 + 12) = 50 square feet.
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Vraag 7 van 17
Toon antwoord
Antwoord: A. 15 inches
Pythagorean theorem: a² + b² = c². 81 + 144 = 225, and √225 = 15 inches.
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Vraag 8 van 17
Toon antwoord
Antwoord: D. 12 feet
The ladder is the hypotenuse: 5² + h² = 13², so h² = 169 − 25 = 144 and h = 12 feet.
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Vraag 9 van 17
Toon antwoord
Antwoord: B. 215 square feet
Whole patio: 20 × 12 = 240 square feet. Subtract the planter: 5 × 5 = 25. 240 − 25 = 215 square feet.
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Vraag 10 van 17
Toon antwoord
Antwoord: D. 12 inches
Area = length × width, so length = 84 ÷ 7 = 12 inches.
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Vraag 11 van 17
Toon antwoord
Antwoord: A. 24 cubic feet
Volume of a rectangular prism = l × w × h = 2 × 3 × 4 = 24 cubic feet.
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Vraag 12 van 17
Toon antwoord
Antwoord: D. 52 square feet
Surface area = 2(lw + lh + wh) = 2(6 + 8 + 12) = 2 × 26 = 52 square feet.
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Vraag 13 van 17
Toon antwoord
Antwoord: A. 282.6 cubic inches
Volume of a cylinder = πr²h = 3.14 × 9 × 10 = 282.6 cubic inches.
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Vraag 14 van 17
Toon antwoord
Antwoord: A. 75.36 cubic inches
Volume of a cone = 1/3 × πr²h = 1/3 × 3.14 × 9 × 8 = 75.36 cubic inches. Without the 1/3 you would get 226.08.
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Vraag 15 van 17
Toon antwoord
Antwoord: B. 120 cubic feet
Volume of a pyramid = 1/3 × base area × height = 1/3 × 36 × 10 = 120 cubic feet.
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Vraag 16 van 17
Toon antwoord
Antwoord: C. 113.04 cubic inches
Volume of a sphere = 4/3 × πr³ = 4/3 × 3.14 × 27 = 113.04 cubic inches.
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Vraag 17 van 17
Toon antwoord
Antwoord: A. It becomes 8 times as large
Volume = s³. If s doubles, the volume is (2s)³ = 8s³, so it is 8 times as large.
Toetsenbord: 1–4 om te antwoorden, Enter voor de volgende vraag.
Het echte examen: 145 on each GED subject