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**Question 1:**A tourist travels 3,100km at a speed of 5.8km/h. Both measurements are correct to 2 significant figures. Calculate the upper and lower bounds of the time taken. Give your answers to 3 decimal places.

**Question 2:**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 = 799 Newtons and A=57.3m

^{2}, 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:**An alloy has a mass of 17.9g and a density of 3.14g/cm

^{3}. 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:**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 = 22.1 amps correct to 1 decimal place and V=91.30 volts correct to 2 decimal places. By considering bounds calculate the resistance, R, to a suitable degree of accuracy. Give a reason for your answer.

**Question 5:**The length of a rectangle is 2.1cm correct to 1 decimal place. The width of the rectangle is 5.75cm correct to 2 decimal places. Calculate the upper and lower bounds of the area of the rectangle. Give your answers to 3 decimal places.

**Question 6:**A crate is in the shape of a cuboid. It has a square base 2,970 millimetres wide, rounded to the nearest 10mm. The crate has a height of 1210 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.

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# Answers

**Question 1:**Upper bound = 547.826hrs, lower bound = 521.368hrs

**Question 2:**Upper bound = 13.96507N/m

^{2}, lower bound = 13.92328N/m

^{2}P=14N/m

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

**Question 3:**Upper bound = 5.726cm

^{3}, lower bound = 5.676cm

^{3}

**Question 4:**Upper bound = 4.14082 ohms, lower bound = 4.12167 ohms R=4.1 ohms correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 5:**Upper bound = 12.373cm, lower bound = 11.777cm

**Question 6:**Upper bound = 10.731m

^{3}, lower bound = 10.615m

^{3}

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