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**Question 1:**A tourist travels 80.9km in 3.03hours. 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 voltage, V, (measured in volts) is V = IR where I is the current (in amps) and R is the resistance (in ohms).

I = 26.3 amps correct to 1 decimal place and R=53.29 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 3:**The formula to calculate pressure, P, (in Newtons/metre

^{2}) is P =

A

F

where F is the force in Newtons and A is the area in metres^{2}.

F = 48.1 Newtons correct to 1 decimal place and A=56.00m

^{2}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 2,360 millimetres wide, rounded to the nearest 10mm. The crate has a height of 1145 millimetres rounded to the nearest 5mm. 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 length of a rectangle is 458cm correct to the nearest cm. The width of the rectangle is 35cm 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 6:**An alloy has a mass of 99.9g and a volume of 6.77cm

^{3}. The mass is correct to 1 decimal place. The volume is correct to 2 decimal places. Calculate the upper and lower bounds of the density of the alloy. Give your answers to 3 decimal places.

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# Answers

**Question 1:**Upper bound = 26.760km/h, lower bound = 26.639km/h

**Question 2:**Upper bound = 1,404.32325 volts, lower bound = 1,398.73125 volts V=1,400 volts correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 3:**Upper bound = 0.85990N/m

^{2}, lower bound = 0.85796N/m

^{2}P=0.86N/m

^{2}correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 4:**Upper bound = 6.418m

^{3}, lower bound = 6.336m

^{3}

**Question 5:**Upper bound = 17,193.750cm, lower bound = 14,868.750cm

**Question 6:**Upper bound = 14.775g/cm

^{3}, lower bound = 14.738g/cm

^{3}

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