Question

   4.     a) i) If 4 individuals are selected from a group of 7 people,

                   how many possible selection option could be made?                    

            ii) In a competition prizes are given to 6 of the 10 participants.

                 How many possible prize lists could be made if they are given different prizes?        

                                                                                                                       

b) In how many ways can the letters of the word SEMESTER be rearranged?

                                                                                                           

5) If the fifth term of a AP is 19 and the tenth term is 34

Find:- a) the first term b) The common difference

c) The sum of the first 15 term                                               

6) In a GP if T₃ = 18 and T₆ = 486          Find:- T₁₀                        ( 6 marks)

1) a) From the set {-8, -2/3, 5i, √(-9), √2, 0, 3+3i, -2.35, 7}

i) List the set of          Natural Numbers

ii) List the set of          Integers

iii) List of the set of    Rational Numbers

vi) List the set of         Real Numbers                                               

b) i) -30 ÷ -6 - (-12 + 8) – 4 x 3 =                           ii) 10(-2) - (-6)4

                          (-10) – 6(-3) =       (4, 4 marks)

2) a) 1²/₅ x 2 ¹/₇ ÷ 1⁴/₅ =                                                                          

2. After winning from a lottery were divided in the ratio 2 : 3 : 5,

If the largest amount received was $150,000.xx

How much was:-         i) The smallest amount =

                                   ii) The Total amount of prize money =         (3, 2 marks)

3) a) i) Calculate the simple interest earned if a deposit of $ 900,000 is

                        left for 12 years at an interest rate of 3% .                           

          ii) Calculate the interest rate for a 12 years investment of $600,000 to gained

                         $180,000 interest.                                                                 

2.    Solve

                             2(3x – 2 )= 6x - 2    + 1

                                      3             4                           (6 marks )                                                                         

c) Solve the following pairs of simultaneous equations

                      3x + y = 7   and     2x - 2y = 2        

4.         a) i) If 4 individuals are selected from a group of 7 people,

                   how many possible selection option could be made?                    

            ii) In a competition prizes are given to 6 of the 10 participants.

                 How many possible prize lists could be made if they are given different prizes?        

                                                                                                                       

b) In how many ways can the letters of the word SEMESTER be rearranged?

                                                                                                           

5) If the fifth term of a AP is 19 and the tenth term is 34

Find:- a) the first term b) The common difference

c) The sum of the first 15 term                                               

6) In a GP if T₃ = 18 and T₆ = 486          Find:- T₁₀                        ( 6 marks)

Answer 1