Name: Date:Question 1: An alloy has a mass of 870g and a volume of 90cm3. The mass is correct to the nearest 10g. The volume is correct to the nearest 5 cubic centimetres. Calculate the upper and lower bounds of the density of the alloy. Give your answers to 3 decimal places.
Question 2: The length and width of a rectangle are 550cm and 8.0cm respectively. Both measurements are correct to 2 significant figures. Calculate the upper and lower bounds of the area of the rectangle. Give your answers to 3 decimal places.
Question 3: A water tank holds 72.8 litres of water correct to 3 significant figures. An empty cup can hold 33 centilitres of water correct to 2 significant figures. Calculate the maximum and minimum number of cups of water that can be completely filled from the water tank.
Question 4: 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 = 501 Newtons and A=76.1m2, 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 5: A tourist travels 890km at a speed of 95km/h. The distance is correct to the nearest 10km. The speed is correct to the nearest 5km/h. Calculate the upper and lower bounds of the time taken. 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 = 475 amps and R=46.2 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 = 4,467.750cm, lower bound = 4,332.750cm
Question 3: Upper bound = 224 cups, lower bound = 217 cups
Question 4: Upper bound = 6.59435N/m2, lower bound = 6.57255N/m2 P=6.6N/m2 correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 5: Upper bound = 9.676hrs, lower bound = 9.077hrs
Question 6: Upper bound = 21,991.875 volts, lower bound = 21,898.175 volts V=22,000 volts correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy
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Question 1: Upper bound = 10.000g/cm3, lower bound = 9.351g/cm3Question 2: Upper bound = 4,467.750cm, lower bound = 4,332.750cm
Question 3: Upper bound = 224 cups, lower bound = 217 cups
Question 4: Upper bound = 6.59435N/m2, lower bound = 6.57255N/m2 P=6.6N/m2 correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 5: Upper bound = 9.676hrs, lower bound = 9.077hrs
Question 6: Upper bound = 21,991.875 volts, lower bound = 21,898.175 volts V=22,000 volts correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy
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