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**Question 1:**The length of a rectangle is 573cm correct to the nearest cm. The width of the rectangle is 20cm 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 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 = 40.4 Newtons correct to 1 decimal place and A=26.38m

^{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 830g and a volume of 20cm

^{3}. The mass is correct to the nearest 10g. The volume is correct to the nearest 5 cubic centimetres. Calculate the upper and lower bounds of the density of the alloy. Give your answers to 3 decimal places.

**Question 4:**A tourist travels 3,000km in 6.5hours. Both measurements are correct to 2 significant figures. Calculate the upper and lower bounds of the average speed travelled. Give your answers to 3 decimal places.

**Question 5:**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 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 = 46.3 amps correct to 1 decimal place and V=41.38 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.

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**Question 1:**Upper bound = 12,903.750cm, lower bound = 10,018.750cm

**Question 2:**Upper bound = 1.53365N/m

^{2}, lower bound = 1.52928N/m

^{2}P=1.53N/m

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

**Question 3:**Upper bound = 47.714g/cm

^{3}, lower bound = 36.667g/cm

^{3}

**Question 4:**Upper bound = 472.868km/h, lower bound = 450.382km/h

**Question 5:**Upper bound = 10.296m

^{3}, lower bound = 8.936m

^{3}

**Question 6:**Upper bound = 0.89481 ohms, lower bound = 0.89266 ohms R=0.89 ohms correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy

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