Metric and Imperial Conversion Quiz

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Questions and Answers

What is the distance cycled in the Vineyard Race in kilometers?

  • 100.83 km
  • 112.65 km (correct)
  • 78.20 km
  • 122.18 km

How many kilometers did Jappie cycle in the Ocean-to-Ocean Race?

  • 215.02 km
  • 137.39 km
  • 120.00 km
  • 150.54 km (correct)

What is the distance cycled in the Karoo Fun Race converted to kilometers?

  • 123.76 km
  • 191.58 km
  • 108.3 km
  • 143.00 km (correct)

How many kilometers did Jappie cycle in the Charity Fun Sprint?

<p>90.12 km (B)</p> Signup and view all the answers

Will Jappie be able to win the club cycling cup based on his total distance cycled?

<p>Yes, he will cycle 625.00 km. (B)</p> Signup and view all the answers

What is the selling price calculated by dividing R192,49 by 8?

<p>R24,06 (A)</p> Signup and view all the answers

What is the total length of material needed for making the dresses if individual lengths are 3m, 4.5m, and 5m?

<p>12.5 m (D)</p> Signup and view all the answers

How much does the total cost for the 3 dresses come to, given the total material length is 12.5m and the price per meter is R120,50?

<p>R1506,25 (C)</p> Signup and view all the answers

What is the total length of embroidery in centimeters if each roll measures 4m and 3 rolls are used?

<p>1200 cm (C)</p> Signup and view all the answers

What is the total amount spent on cotton rolls for 3 dresses if each roll costs R15,25?

<p>R137,25 (B)</p> Signup and view all the answers

What is the simplified form of the ratio of distance AD to distance CB?

<p>2:1 (C)</p> Signup and view all the answers

If the perimeter of ABCD is 125.92 m, how would you calculate the distance CD?

<p>Subtract the lengths of sides AB and AD from the perimeter (C)</p> Signup and view all the answers

What is the length of the radius of the pool based on the given information?

<p>10 meters (A)</p> Signup and view all the answers

What would be the total cost of erecting a fence along the curved side AB?

<p>R487.80 (D)</p> Signup and view all the answers

Using 60 litres of petrol, how far can Anju's vehicle travel?

<p>720 km (A)</p> Signup and view all the answers

What is the average speed of Anju's vehicle during her travel of 196 km in 1 hour and 45 minutes?

<p>96 km/h (B)</p> Signup and view all the answers

What is the formula used to calculate the volume of Anju's bag?

<p>Volume = length × width × height (D)</p> Signup and view all the answers

What shape does the smaller box of chalk represent?

<p>Cube (A)</p> Signup and view all the answers

What is the formula to convert from Celsius to Fahrenheit?

<p>°F = (°C × 9/5) + 32 (A)</p> Signup and view all the answers

Which of the following is true regarding metric conversions of length?

<p>1 kilometre is equal to 1,000 metres. (A)</p> Signup and view all the answers

If you have 2 kilograms, how many grams do you have?

<p>2,000 grams (A)</p> Signup and view all the answers

What is the metric unit conversion for 1,000 millilitres?

<p>1 litre (A)</p> Signup and view all the answers

Which conversion factor is used to convert 1 mile to kilometers?

<p>1 mile = 1.6093 km (C)</p> Signup and view all the answers

What is the volume of an object that is measured as 3 kilolitres?

<p>3,000 litres (C)</p> Signup and view all the answers

When converting from grams to kilograms, which operation should be performed?

<p>Divide by 1,000 (C)</p> Signup and view all the answers

If a recipe calls for 250 millilitres, how many cups does this equal?

<p>1 cup (B)</p> Signup and view all the answers

Which of the following represents a proper metric conversion of weight?

<p>1,000 milligrams = 1 gram (A), 1,000 grams = 1 kilogram (D)</p> Signup and view all the answers

What is the distance in feet if you convert 1 meter using the conversion factor?

<p>3.2808 feet (C)</p> Signup and view all the answers

What is the actual capacity (volume) of the cylindrical can of motor oil using the provided dimensions?

<p>1250 ml (D)</p> Signup and view all the answers

What is the volume of the empty space in the can when filled with 750 ml of motor oil?

<p>250 ml (C)</p> Signup and view all the answers

Using the height formula, what would the height of the motor oil be in the cylindrical can if it contains 750 ml?

<p>5 cm (C)</p> Signup and view all the answers

What is the area of the triangular part marked Y on the refuse container diagram if the triangle's base is 10 cm and its height is 5 cm?

<p>25 mm² (A)</p> Signup and view all the answers

What is the total exterior area of the trapezium side of Mr Koba's refuse container if the area of the rectangular part X is 2,088,000 mm²?

<p>2.088 m² (A)</p> Signup and view all the answers

What formula should be used to calculate the height of the motor oil in the cylindrical can?

<p>Height = Volume / (π × (radius)²) (B)</p> Signup and view all the answers

What is the value of π used in the volume calculations in this problem?

<p>3.142 (B)</p> Signup and view all the answers

In the context of the refuse container, which parts are considered in calculating the total exterior area?

<p>Both trapezium and rectangular sides (B)</p> Signup and view all the answers

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Study Notes

Conversion Factors

  • Length:
    • 10 millimeters (mm) = 1 centimeter (cm)
    • 1,000 millimeters (mm) = 1 meter (m)
    • 100 centimeters (cm) = 1 meter (m)
    • 1,000 meters (m) = 1 kilometer (km)
  • Volume:
    • 1,000 milliliters (mâ„“) = 1 liter (â„“)
    • 1,000 liters (â„“) = 1 kiloliter (kâ„“)
  • Weight:
    • 1,000 milligrams (mg) = 1 gram (g)
    • 1,000 grams (g) = 1 kilogram(kg)
    • 1,000 kilograms (kg) = 1 tonne (t)

Converting Metric Units

  • When converting from a larger unit to a smaller unit, multiply by the conversion factor.
  • When converting from a smaller unit to a larger unit, divide by the conversion factor.

Imperial to Metric Conversions

  • From Metric to Imperial:*

  • 1 cm = 0.3937 inches (in)

  • 1 m = 1.0936 yards (yd.)

  • 1 km = 0.6214 miles (mi)

  • 1 m = 3.2808 feet (ft.)

  • From Imperial to Metric:*

  • 1 inch (in) = 2.54 cm

  • 1 yard (yd.) = 0.9144 m

  • 1 mile (mi) = 1.6093 km

  • 1 foot (ft.) = 0.3048 m

Cooking Conversions

  • 1 cup = 250 mâ„“
  • 1 tablespoon (tbsp.) = 15 mâ„“
  • 1 teaspoon (tsp) = 5 mâ„“

Temperature Conversion

  • Celsius to Fahrenheit:*

  • °C = (°F – 32 ) × 5/9

  • Fahrenheit to Celsius:*

  • ºF = (9/5 × ºC) + 32

Calculating Perimeter, Area and Volume

  • Perimeter is the total distance around the outside of a shape.
  • Area is the amount of surface a shape covers.
  • Volume is the amount of space a three-dimensional object occupies.

Formulas

  • Distance: Distance = average speed × time
  • Volume of a Cylinder: Volume of a cylinder = Ï€ × ( radius )2 × height ,where Ï€ = 3.142
  • Area of a Triangle: Area of a triangle = 1/2 × base × height

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