Practice ECAT questions with answers and explanations.
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One kilometre equals 1,000 metres.
Therefore 3.5 km = 3.5×1,000 = 3,500 m.
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Let tens digit be a and units digit b; then a + b = 11 and 9(b - a) = 27.
So b - a = 3, giving a = 4 and b = 7.
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One metre equals 100 centimetres.
Therefore 250 cm ÷ 100 = 2.5 m.
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The metre is the SI base unit of length.
Other metric length units are derived from it using prefixes.
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Percentage uncertainty is absolute uncertainty divided by measured value times 100.
0.2/10.0×100 = 2%.
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The kilogram is the SI base unit of mass.
The gram is one-thousandth of a kilogram.
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Percentage error is |48-50|/50×100.
The result is 2/50×100 = 4%.
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The second is the SI base unit of time.
Minutes and hours are accepted non-SI units derived from it.
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Move the decimal four places to the right to obtain 7.2.
Therefore the exponent is -4.
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A scalar has magnitude only.
Speed has no associated direction.
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A vector has both magnitude and direction.
Acceleration describes the rate and direction of velocity change.
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Both sides of a valid physical equation must have the same dimensions.
Dimensional analysis can reveal inconsistent formulas.
