1) a) From the set {-6, 5, 4+8i, 0.125, 7, 1/4 , √(-4), √3, 7i, π, 6} i) List the set of Natural Numbers ii) List the set of Rational Numbers iii) List the set of Irrational Numbers vi) List the set of Imaginary numbers (4 marks) b) Calculate i) 5(-4) + (-17) + 9 – 6(-3) = ii) -6(-4) - 3(-7) + 5(-5) = 5(-4)+ (-2)7 - 8(-4)
1) a) From the set {-6, 5, 4+8i, 0.125, 7, 1/4 , √(-4), √3, 7i, π, 6}
i) List the set of Natural Numbers
ii) List the set of Rational Numbers
iii) List the set of Irrational Numbers
vi) List the set of Imaginary numbers (4 marks)
b) Calculate
i) 5(-4) + (-17) + 9 – 6(-3) = ii) -6(-4) - 3(-7) + 5(-5) =
5(-4)+ (-2)7 - 8(-4) (4, 4 marks)
2) a) Calculate 5 1/4 - 2 4/5 ÷ 31/6 + 4 1/3 = (4 marks)
b) Given 4(x – 4) = 3(2x + 1) + 2 Solve for x (4 marks)
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3) a) Calculate the time needed on an investment of $700,000 to gained an interest of $84,000
if the interest rate is 1.5% per annum. (3 marks)
b) 5 sandwiches and 3 drinks cost $58.00
3 sandwiches and 2 drink cost $32.00
What is the cost of each item? (4 marks)
4) a) 8 fiction novels by new authors are on display at a Book Festival.
Patrons are told that they can choose any 3 books.
How many different selections can a patron make? (3 marks)
b) The following day 5 Non-fiction novels are added and patrons are told that they
can take 4 fiction books and 2 non-fiction.
How many different selections can the patrons now make? (3 marks)
5) In an AP the 18th Term is 5 times the 2nd Term and the 11th Term is 52.
What is the sum of the first twenty terms? (4 marks)
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6) In a GP the 8th term is 8748 and the 4th term is 108. Find the sum of the 1st 10 terms. (4 marks)
7) Universal Set { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 1, 3, 6, 8, 10} and
Set B – { even number less than 10}
Answer the following questions.
a) A U B = b) A – B = c) A’∩ B’ = d) A’UB = (8 marks)
8) 200 students are asked to fill out a survey. When the information was compiled, it was observed that 97
students indicated that they live with their Biological Father and 145 students indicated that they live with their Biological Mother if 23 students were adopted.
How many students live in a home with both biological parents? (3 marks)
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