Question ( 25 mark )

1.1 Evaluate each of the following without the use of a calculator. Show all workings (steps). Write down the answer in the simplest form.

1.1.1 4 square root 32 x 8 square root 64

1.1.2 ( 1/2 x 1/8 + 3/16 ) / ( 5/8 + 3/16 )

1.2 Write the following numbers in scientific notation.

1.2.1 0. 000785

1.2.2 7.85

1.3 Suppose that 3000 drivers in Wakanda were randomly breath-tested on 21 April 2019 and 116 were above the limit of 0.05 blood- alcohol level. On 15 May 2019, 4000 drivers were tested and 98 were above this level.

1.3.1 What additional information would you require before trying to draw conclusion from these data?

1.3.2 What factors, other than a real change in driver behaviors, could cause such a drop in the proportion of above-the-limit drivers.