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ZANZIBAR COMMERCIAL SECONDARY SCHOOL

ADVANCE PURE MATHEMATICS

TOPIC:  CALCULATING DEVICES

                       GENERAL EQUATIONS

ASSIGNMENT NO. 1

 

1.  (a) Use logarithms to evaluate to three significant figures:

                    (Hint:  = )

     (b) Using a non programmable scientific calculator, find the value of

               correct to 5 decimal places.

2.  (a) Using logarithms to evaluate:

     (b) Using a non programmable scientific calculator, evaluate:

                  Correct to 2 decimal places.

3.   (a) By using mathematical tables, compute:

            (i) Correct 3 decimal places.

            (ii)

       (b) By using scientific calculator, find:

                 (i) e-2/3 +2 cosh-1 1.5  Correct to 6 significant figures

                 (ii) ln     correct to 6 significant figures.

                 (iii) The mean and standard deviation for the scores; 64, 44, 56, 75 and 66.

4.    (a) Using logarithms, evaluate to two significant figures

               

  (b) Using a non programmable scientific calculator evaluate to six d.p

                           

5.    (a) By using a non programmable scientific calculator, evaluate the following   expression giving the answer into 3 significant figures:

    

        (i)

       (ii)

       (b) Use the table of logarithms to compute: (6.32)  

6.    (a) Use logarithm table to find

                Correct to six decimal places.

 (b) Use the scientific calculator to find:

                    

7.    (a) With the help of a calculator, evaluate the following expression  correct to four        

                decimal places in each step  of computation.

                 (i)  

                 (ii)

        (b) Find the value of  in radian given that:

                                            

8.     (a) By using mathematical table evaluate:

                     

        (b) By using a non-programmable scientific calculator compute the following  

               expression to eight significant figures:

                    

9.     Use a non programmable calculator to evaluate correctly to four decimal places the   

        value of the following:

        (a)        

         (b)     

         (c)         where 8.6074 and 11.5225

10.    (a) Using a non programmable calculator to evaluate:

                  (i) , Correct to seven significant figures.

                 (ii)   , giving your answer to three significant figures.

         (b) Cosmic – ray bombardment of the atmosphere produces neutrons, which in turn

               react with nitrogen to produce radioactive Carbon – 14 . Radioactive

              enters all li9ving tissues through carbon dioxide, which is first absorbed by   

              plant. As long as an plant or animal is alive,  decays according to the   

              equation  where A is the amount present after t years and A₀ is the  

              amount present at time . If 500 milligrams of  are present at the start, use a   

              calculator to:

                  (i) Find how many milligrams will be present in 15,000 years correct to two  

       decimal places.

                  (ii) Calculate the the number of years it take for 1.89 milligrams to remain.