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**Question 1:**An alloy has a mass of 60kg and a density of 2,510kg/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.

**Question 2:**The length and width of a rectangle are 980cm and 1.4cm respectively. Both measurements are correct to 2 significant figures. Calculate the upper and lower bounds of the perimeter of the rectangle. Give your answers to 3 decimal places.

**Question 3:**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 = 181 amps and R=56.4 ohms, both measurements are correct to 3 significant figures. By considering bounds calculate the voltage, V, 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 2,020 millimetres wide, rounded to the nearest 10mm. The crate has a height of 1205 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:**A tourist travels 7,300km at a speed of 8.9km/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 6:**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 = 96.8 Newtons correct to 1 decimal place and A=71.26m

^{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.

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# Answers

**Question 1:**Upper bound = 0.025m

^{3}, lower bound = 0.023m

^{3}

**Question 2:**Upper bound = 1,972.900cm, lower bound = 1,952.700cm

**Question 3:**Upper bound = 10,245.675 volts, lower bound = 10,171.175 volts V=10,200 volts correct to 3 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 4:**Upper bound = 4.952m

^{3}, lower bound = 4.882m

^{3}

**Question 5:**Upper bound = 830.508hrs, lower bound = 810.056hrs

**Question 6:**Upper bound = 1.35920N/m

^{2}, lower bound = 1.35761N/m

^{2}P=1.36N/m

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

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