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The following sets have been defined using the | notation. Re-write them by listing some of the elements.


i. {p | p is a capital city, p is in Europe}


ii. {z | 3z = n2, z and n are natural numbers}



Use the International Phonetic Alphabet to write out the words and show the syllable division as in the following example. ‘Metabolism is a five syllable word written phonemically as [mɪ/ˈta/bə/lɪ/z(ə)m’]

Read the given scenarios below and indicate whether in each scenario the


teacher acted in a professional manner or not? Give three reasons for each


scenario to support your stance. (44)


Your response should be at most 500 words.



Scenario 2


Energy is a hyperactive learner in Mr Tiba classroom. Energy sometimes causes


distractions in her classroom. Mr Tiba was giving the class instructions for writing an


assignment that was to be handed over the following day. As usual Energy was not


paying attention and thus missed the instructions. She was busy humming and


tapping her pen on the desk. She requested for the instructions to be repeated. The


other learners in the class made fun of Energy and ridiculed her for not paying


attention once again. Mr Tiba, feeling frustrated because he was asked to repeat the


instructions once again, continued passing the materials and instructed Energy to


get out of his classroom.





Read the given scenarios below and indicate whether in each scenario the


teacher acted in a professional manner or not? Give three reasons for each


scenario to support your stance. (44)


Your response should be at most 500 words.


Scenarion1


Ms Cheater is a grade 6 mathematics teacher in her local primary school. She has


been teaching at this school for 20 years. Recently the mathematics curriculum


advisor introduced the common tests for all the grade 6 learners in the schools in Ms


Cheater’s circuit. Therefore, schools were given the same workplans for each term.


At the end of the term the common test was sent to schools to be administers by the


teachers. Ms Cheater discovered that she did not cover most of the questions in the


common test. Instead of administering the common test, she developed her own test


for her learners.



A. 200.0 g of Ca(C2H3O2)2 was found in the chemistry laboratory. 

      Calculate

          i. the molecular mass of 1 mole Ca(C2H3O2) 2.

         ii. the number of  moles of Ca(C2H3O2)2  that exists   

        iii. the number of Ca(C2H3O2)2 molecules present

        iv.  the volume at STP  if Ca(C2H3O2)2 is converted to gas.

        v.  the molarity of a solution made by dissolving 200.0 g of      

                Ca(C2H3O2)2 in 200 ml of water


b)  Answer the following stoichiometry questions by referring to the equation below:

2 KClO3    2 KCl + 3 O2

i.        If 1.50 moles of KClO3 decomposes, what is the mass of O2 that will be produced?

ii.       If 80.0 grams of O2 was produced, how many moles of KClO3                  are decomposed?

iii.    Find the mass of KClO3 needed if we need to produce 2.75                                 moles of KCl.

Let the charge q and -q be placed alternatively along the x-axis at position x=2m,x=3m,x=5m and x=8 m.what is the electric field at x=0 due to these changes?

Determine whether the following reactions will occur by determining the voltage produced. (3 marks each)

a. Ag(s) + HCl(aq) 

b. Mg(s) + FeSO4(aq) 



3. The most common method of producing bromine involves oxidizing bromine ions (Br- ) to bromine liquid (Br2) using chlorine gas (Cl2). What is the E for this reaction? 2 marks


1. By what mass (in grams) will a chromium cathode increase when it is coupled to a magnesium half-cell in which the magnesium anode loses 1.53 grams? (assuming chromium ions in solution are Cr3+).


Draw Dienes block to show how to find solution to:

b) 102 - 45


A listed company on the ZSE has the stock price six months from expiration of

an option as $95, risk free interest rate is 4% per annum and an exercise price of $90. The volatility is 30% per annum. Calculate the price of the European put option using the Black-Scholes option pricing model. Using the put-call parity relationship, calculate the call price. Sketch the call and put payoff graphs defined in the question. Use R