Name: Date:Question 1: A tourist travels 20.6km in 8.87hours. The distance is correct to 1 decimal place. The time is correct to 2 decimal places. 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 = 81.2 Newtons correct to 1 decimal place and A=91.72m2 correct to 2 decimal places. By considering bounds calculate the pressure, P, to a suitable degree of accuracy. Give a reason for your answer.
Question 3: An alloy has a mass of 18.8g and a density of 8.50g/cm3. The mass is correct to 1 decimal place. The density is correct to 2 decimal places. Calculate the upper and lower bounds of the volume of the alloy. Give your answers to 3 decimal places.
Question 4: A water tank holds 32.34 litres of water correct to 2 decimal place. An empty cup holds 34.0 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 5: The length of a rectangle is 9.7cm correct to 1 decimal place. The width of the rectangle is 4.10cm correct to 2 decimal places. Calculate the upper and lower bounds of the perimeter of the rectangle. Give your answers to 3 decimal places.
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 = 635 amps and V=70.4 volts, both measurements are correct to 3 significant figures. By considering bounds calculate the resistance, R, to a suitable degree of accuracy. Give a reason for your answer.
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Question 2: Upper bound = 0.88590N/m2, lower bound = 0.88471N/m2 P=0.9N/m2 correct to 1 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 3: Upper bound = 2.219cm3, lower bound = 2.205cm3
Question 4: Upper bound = 95 cups, lower bound = 94 cups
Question 5: Upper bound = 27.710cm, lower bound = 27.490cm
Question 6: Upper bound = 0.11103 ohms, lower bound = 0.11070 ohms R=0.111 ohms correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy
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Question 1: Upper bound = 2.329km/h, lower bound = 2.315km/hQuestion 2: Upper bound = 0.88590N/m2, lower bound = 0.88471N/m2 P=0.9N/m2 correct to 1 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 3: Upper bound = 2.219cm3, lower bound = 2.205cm3
Question 4: Upper bound = 95 cups, lower bound = 94 cups
Question 5: Upper bound = 27.710cm, lower bound = 27.490cm
Question 6: Upper bound = 0.11103 ohms, lower bound = 0.11070 ohms R=0.111 ohms correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy
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