1. 1
   A stadium reports its attendance as $38,462$ people.

   (a)

   (a) What is this number rounded to the nearest thousand?

   [1 mark]

   • A39,000
   • B38,500
   • C38,000
   • D38,400

   (b)

   (b) What is $38,462$ rounded to 2 significant figures?

   [1 mark]

   • A40,000
   • B39,000
   • C38,500
   • D38,000

   (c)

   (c) The stadium's ticket revenue was $£729,384$. What is this correct to 3 significant figures?

   [1 mark]

   • A£730,000
   • B£729,000
   • C£729,400
   • D£728,000

   Total for question 1: 3 marks

2. 2
   A gardener measures the length of a flower bed as $4.6$ m, correct to 1 decimal place.

   (a)

   (a) Write down the error interval for the true length, $L$, of the flower bed, using inequality notation.

   [2 marks]

   (b)

   (b) The gardener also measures the width as $2.3$ m, correct to 1 decimal place. Calculate the upper bound for the area of the flower bed.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A delivery company estimates the total cost of a job by calculating $\frac{58.7 \times 4.9}{9.8}$, where the numbers represent distance in miles, cost per mile, and number of stops respectively.

   (a)

   (a) By rounding each number to 1 significant figure, find an estimate for the value of this calculation.

   [3 marks]

   (b)

   (b) Explain why rounding all the values before dividing, rather than rounding only the final answer, could give a less accurate estimate in some cases, and state one situation when it would be safer to round only at the end.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A cyclist travels a distance of $d = 15.2$ km, correct to 1 decimal place, in a time of $t = 0.8$ hours, correct to 1 decimal place.

   (a)

   (a) Find the upper and lower bounds for $d$ and for $t$.

   [4 marks]

   (b)

   (b) Calculate the upper bound for the cyclist's average speed, in km/h, using your bounds from part (a).

   [4 marks]

   (c)

   (c) Calculate the lower bound for the cyclist's average speed, and hence write down the error interval for the true average speed $s$, using inequality notation.

   [5 marks]

   Total for question 4: 13 marks

End of questions