Name: Date:Question 1: A tourist travels 8,400km in 4.4hours. Both measurements are correct to 2 significant figures. Calculate the upper and lower bounds of the average speed travelled. Give your answers to 3 decimal places.
Question 2: The formula to calculate pressure, P, (in Newtons/metre2) is P =
A
F
where F is the force in Newtons and A is the area in metres2.F = 705 Newtons and A=58.6m2, both measurements are correct to 3 significant figures. By considering bounds calculate the pressure, P, to a suitable degree of accuracy. Give a reason for your answer.
Question 3: The length of a rectangle is 392cm correct to the nearest cm. The width of the rectangle is 85cm correct to the nearest 5cm. Calculate the upper and lower bounds of the area of the rectangle. Give your answers to 3 decimal places.
Question 4: An alloy has a mass of 7.5kg and a density of 1,800kg/m3. Both measurements are correct to 2 significant figures. Calculate the upper and lower bounds of the volume of the alloy. Give your answers to 3 decimal places.
Question 5: A water tank holds 74.52 litres of water correct to 2 decimal place. An empty cup holds 75.0 centilitres of water correct to 1 decimal place. Calculate the maximum and minimum number of cups of water that can be completely filled from the water tank.
Question 6: The formula to calculate voltage, V, (measured in volts) is V = IR where I is the current (in amps) and R is the resistance (in ohms).
I = 258 amps and R=36.9 ohms, both measurements are correct to 3 significant figures. By considering bounds calculate the voltage, V, to a suitable degree of accuracy. Give a reason for your answer.
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Question 2: Upper bound = 12.04953N/m2, lower bound = 12.01194N/m2 P=12N/m2 correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 3: Upper bound = 34,343.750cm, lower bound = 32,298.750cm
Question 4: Upper bound = 0.004m3, lower bound = 0.004m3
Question 5: Upper bound = 99 cups, lower bound = 99 cups
Question 6: Upper bound = 9,551.575 volts, lower bound = 9,488.875 volts V=10,000 volts correct to 0 s.f. because the upper and lower bounds are equal when rounded to this accuracy
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Question 1: Upper bound = 1,942.529km/h, lower bound = 1,876.404km/hQuestion 2: Upper bound = 12.04953N/m2, lower bound = 12.01194N/m2 P=12N/m2 correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 3: Upper bound = 34,343.750cm, lower bound = 32,298.750cm
Question 4: Upper bound = 0.004m3, lower bound = 0.004m3
Question 5: Upper bound = 99 cups, lower bound = 99 cups
Question 6: Upper bound = 9,551.575 volts, lower bound = 9,488.875 volts V=10,000 volts correct to 0 s.f. because the upper and lower bounds are equal when rounded to this accuracy
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