Name: Date:Question 1: A tourist travels 420km in 75hours. The distance is correct to the nearest 10km. The time is correct to the nearest 5 hours. Calculate the upper and lower bounds of the average speed travelled. Give your answers to 3 decimal places.
Question 2: The length of a rectangle is 528cm correct to the nearest cm. The width of the rectangle is 55cm 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 3: 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 = 71.9 Newtons correct to 1 decimal place and A=55.92m2 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 4: A crate is in the shape of a cuboid. It has a square base 240 centimetres wide and a height of 2.1 metres. All measurements are correct to 2 significant figures. Calculate the upper and lower bounds of the volume of the crate, in cubic metres. Give your answers to 3 decimal places.
Question 5: 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 = 17.7 amps correct to 1 decimal place and R=76.45 ohms correct to 2 decimal places. By considering bounds calculate the voltage, V, to a suitable degree of accuracy. Give a reason for your answer.
Question 6: An alloy has a mass of 50kg and a density of 6,240kg/m3. The density is correct to the nearest 10kg. The mass is correct to the nearest 5kg. Calculate the upper and lower bounds of the volume of the alloy. Give your answers to 3 decimal places.
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Question 2: Upper bound = 30,388.750cm, lower bound = 27,693.750cm
Question 3: Upper bound = 1.28677N/m2, lower bound = 1.28476N/m2 P=1.3N/m2 correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 4: Upper bound = 12.905m3, lower bound = 11.321m3
Question 5: Upper bound = 1,357.07625 volts, lower bound = 1,349.25425 volts V=1,000 volts correct to 1 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 6: Upper bound = 0.008m3, lower bound = 0.008m3
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Question 1: Upper bound = 5.862km/h, lower bound = 5.355km/hQuestion 2: Upper bound = 30,388.750cm, lower bound = 27,693.750cm
Question 3: Upper bound = 1.28677N/m2, lower bound = 1.28476N/m2 P=1.3N/m2 correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 4: Upper bound = 12.905m3, lower bound = 11.321m3
Question 5: Upper bound = 1,357.07625 volts, lower bound = 1,349.25425 volts V=1,000 volts correct to 1 s.f. because the upper and lower bounds are equal when rounded to this accuracy
Question 6: Upper bound = 0.008m3, lower bound = 0.008m3
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