Math Tests - mathematics practice questions

Convert units of time (minutes and seconds)

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Units of time

1 min (minute) = 60 s (seconds)
1 h (hour) = 60 min
1.5 h = 1 h 30 min
1 h = 60 × 60 s= 3600 s

day = 24 h
week = 7 days
month = 28/29 days (February) or 30 days (April, Jun, September, November) or 31 days (January, March, May, July, August, October, December)
year = 12 months = 365 days = 52 weeks 1 day
leap year = 12 months = 366 days = 52 weeks 2 days

A leap year is a year in which an extra day is added to the calendar in order to synchronize it with the seasons. In leap years, February 29th is added as leap day, which doesn't exist in a normal year (February has normally 28 days). A leap year occurs every 4 years - the year has to be evenly divided by 4 (2004, 2008, 2012), but not by 100 (1800, 1900, 2100). However, if it is divisible by 400, it's again a leap year (2000).



Convert units of time (hours and minutes)

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Units of time

1 min (minute) = 60 s (seconds)
1 h (hour) = 60 min
1.5 h = 1 h 30 min
1 h = 60 × 60 s= 3600 s

day = 24 h
week = 7 days
month = 28/29 days (February) or 30 days (April, Jun, September, November) or 31 days (January, March, May, July, August, October, December)
year = 12 months = 365 days = 52 weeks 1 day
leap year = 12 months = 366 days = 52 weeks 2 days

A leap year is a year in which an extra day is added to the calendar in order to synchronize it with the seasons. In leap years, February 29th is added as leap day, which doesn't exist in a normal year (February has normally 28 days). A leap year occurs every 4 years - the year has to be evenly divided by 4 (2004, 2008, 2012), but not by 100 (1800, 1900, 2100). However, if it is divisible by 400, it's again a leap year (2000).



Convert units of time (weeks, months, years)

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Units of time

1 min (minute) = 60 s (seconds)
1 h (hour) = 60 min
1.5 h = 1 h 30 min
1 h = 60 × 60 s= 3600 s

day = 24 h
week = 7 days
month = 28/29 days (February) or 30 days (April, Jun, September, November) or 31 days (January, March, May, July, August, October, December)
year = 12 months = 365 days = 52 weeks 1 day
leap year = 12 months = 366 days = 52 weeks 2 days

A leap year is a year in which an extra day is added to the calendar in order to synchronize it with the seasons. In leap years, February 29th is added as leap day, which doesn't exist in a normal year (February has normally 28 days). A leap year occurs every 4 years - the year has to be evenly divided by 4 (2004, 2008, 2012), but not by 100 (1800, 1900, 2100). However, if it is divisible by 400, it's again a leap year (2000).



Convert metric units of length

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1 cm (centimeter) = 10 mm (milimeter)
1 dm (decimeter) = 10 cm
1 m (meter) = 100 cm = 10 dm
1 km (kilometer)= 1000 m


Convert and compare US units of length (inches, feet, yards)

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1 inch (in) ≅ 2.54 centimeters (cm)
1 foot (ft or ′) = 12 in ≅ 30.48 cm
1 yard (yd) = 3 ft = 36 in ≅ 0.91 meter (m)
1 mile (mi)= 1760 yd ≅ 1.6 kilometer (km)


Convert and compare units of weight (kg and g)

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1 g (gram) = 1000 mg (miligram)
1 dkg (dekagram) =10 g
1 kg (kilogram)= 1000 g= 100 dkg
1 t (ton) = 1000 kg


Convert and compare US units of weight (ounces and pounds)

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1 pound (lb) = 16 ounces (oz) ≅ 0.45 kilogram (kg)
1 oz ≅ 28 grams (g)
1.5 lb = 16 + 8 = 24 oz
$1/2$ lb = 8 oz


Convert and compare units of volume (l and ml)

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1 l (liter) = 1000 ml (mililiter) = 10×10×10 cm3=1000 cm 3=1 dm3 (cubic decimeter)
1 cl (centiliter)= 10 ml
1 hl (hectoliter) = 100 l
1 m3 (cubic meter) = 100 cm × 100 cm × 100 cm = 1000000 cm 3= 1000 dm3 = 100 l


Convert metric units of area

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1 cm2 = 10 mm × 10 mm = 100 mm2
1 dm2 = 10 cm × 10 cm = 100 cm2
1 m2 = 100 cm × 100 cm = 10000 cm2
1 km2 = 1000 m × 1000 m = 1000000 m2


Metric units of measurement as decimals (easy)

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Convert metric units of speed

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1 h= 60 min
60 km/h = 1 km/min
1 km/h = $1/60$ km/min


   
   

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