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**Question 1:**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 = 725 Newtons and A=56.2m

^{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 2:**A crate is in the shape of a cuboid. It has a square base 200 centimetres wide and a height of 2.4 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 3:**A tourist travels 78.1km in 1.56hours. 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 4:**The length and width of a rectangle are 960cm and 3.4cm 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 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 = 19.8 amps correct to 1 decimal place and V=93.63 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 6:**An alloy has a mass of 45kg and a density of 8,120kg/m

^{3}. 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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# Answers

**Question 1:**Upper bound = 12.92075N/m

^{2}, lower bound = 12.88000N/m

^{2}P=12.9N/m

^{2}correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 2:**Upper bound = 10.296m

^{3}, lower bound = 8.936m

^{3}

**Question 3:**Upper bound = 50.257km/h, lower bound = 49.872km/h

**Question 4:**Upper bound = 3,329.250cm, lower bound = 3,199.250cm

**Question 5:**Upper bound = 4.74101 ohms, lower bound = 4.71662 ohms R=4.7 ohms correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 6:**Upper bound = 0.006m

^{3}, lower bound = 0.005m

^{3}

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