1. 1
   A student uses a calculator to work out $\sqrt{7.2^2 + 5.9^2}$ without rounding intermediate values.

   (a)

   Find $\sqrt{7.2^2 + 5.9^2}$, giving your answer to 3 significant figures.

   [1 mark]

   • A9.30
   • B9.31
   • C9.28
   • D9.35

   (b)

   A calculator display shows 3.25 in a time context (hours). What does this represent?

   [1 mark]

   • A3 hours 25 minutes
   • B325 minutes
   • C3 hours 2.5 minutes
   • D3 hours 15 minutes

   (c)

   A calculator display shows 4.8 in a money context (dollars). What does this represent?

   [1 mark]

   • A4 dollars 80 cents
   • B4 dollars 8 cents
   • C48 cents
   • D4 dollars 8 dollars

   Total for question 1: 3 marks

2. 2
   A journey takes 2 hours 45 minutes. A different journey takes 3 hours 12 minutes at an average speed of 45 km/h.

   (a)

   A journey takes 2 hours 45 minutes. Express this time as a decimal number of hours, suitable for entry into a calculator.

   [2 marks]

   (b)

   A different journey takes 3 hours 12 minutes at an average speed of 45 km/h. Find the distance travelled, entering the time as a decimal in your calculation.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   An angle is measured as 42 degrees 30 minutes 0 seconds. A second angle is measured as 67 degrees 45 minutes 0 seconds.

   (a)

   Convert the angle 42 degrees 30 minutes 0 seconds to a decimal number of degrees, for entry into a calculator.

   [3 marks]

   (b)

   Find the sum of the two angles, giving your answer in degrees and minutes.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A cylindrical water tank has a radius of 3.6 m and a height of 5.2 m. Use the value of $\pi$ from your calculator throughout, rounding only your final answer.

   (a)

   Find the volume of the tank, using $V=\pi r^2h$, giving your answer to 3 significant figures.

   [4 marks]

   (b)

   Find the curved surface area of the tank, using $A=2\pi rh$, giving your answer to 3 significant figures.

   [4 marks]

   (c)

   The tank is filled to 75% of the volume capacity found in part (a), using the unrounded calculator value (not the rounded 3 s.f. answer). Find the volume of water in the tank, giving your answer to 3 significant figures, and state why using the unrounded value gives a more accurate result than using the rounded answer from part (a).

   [5 marks]

   Total for question 4: 13 marks

End of questions