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**Question 1:**A tourist travels 20.6km in 8.87hours. 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 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 = 81.2 Newtons correct to 1 decimal place and A=91.72m

^{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 3:**An alloy has a mass of 18.8g and a density of 8.50g/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:**A water tank holds 32.34 litres of water correct to 2 decimal place. An empty cup holds 34.0 centilitres of water correct to 1 decimal place. Calculate the maximum and minimum number of cups of water that can be completely filled from the water tank.

**Question 5:**The length of a rectangle is 9.7cm correct to 1 decimal place. The width of the rectangle is 4.10cm correct to 2 decimal places. Calculate the upper and lower bounds of the perimeter of the rectangle. 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 = 635 amps and V=70.4 volts, both measurements are correct to 3 significant figures. By considering bounds calculate the resistance, R, to a suitable degree of accuracy. Give a reason for your answer.

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**Question 1:**Upper bound = 2.329km/h, lower bound = 2.315km/h

**Question 2:**Upper bound = 0.88590N/m

^{2}, lower bound = 0.88471N/m

^{2}P=0.9N/m

^{2}correct to 1 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 3:**Upper bound = 2.219cm

^{3}, lower bound = 2.205cm

^{3}

**Question 4:**Upper bound = 95 cups, lower bound = 94 cups

**Question 5:**Upper bound = 27.710cm, lower bound = 27.490cm

**Question 6:**Upper bound = 0.11103 ohms, lower bound = 0.11070 ohms R=0.111 ohms correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy

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