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**Question 1:**The length and width of a rectangle are 560cm and 4.1cm 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 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 = 172 Newtons and A=57.0m

^{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:**A crate is in the shape of a cuboid. It has a square base 220 centimetres wide and a height of 2.9 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 4:**An alloy has a mass of 20.8g and a volume of 2.18cm

^{3}. The mass is correct to 1 decimal place. The volume is correct to 2 decimal places. Calculate the upper and lower bounds of the density of the alloy. 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 = 552 amps and R=68.4 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 6:**A tourist travels 370km in 25hours. The distance is correct to the nearest 10km. The time is correct to the nearest 5 hours. Calculate the upper and lower bounds of the average speed travelled. Give your answers to 3 decimal places.

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**Question 1:**Upper bound = 2,344.750cm, lower bound = 2,247.750cm

**Question 2:**Upper bound = 3.02897N/m

^{2}, lower bound = 3.00613N/m

^{2}P=3N/m

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

**Question 3:**Upper bound = 14.934m

^{3}, lower bound = 13.174m

^{3}

**Question 4:**Upper bound = 9.586g/cm

^{3}, lower bound = 9.497g/cm

^{3}

**Question 5:**Upper bound = 37,818.625 volts, lower bound = 37,695.025 volts V=38,000 volts correct to 2 s.f. because the upper and lower bounds are equal when rounded to this accuracy

**Question 6:**Upper bound = 16.667km/h, lower bound = 13.273km/h

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