{-5, 3+4i, 0.25, 6, ½ , √(-49), √2, 3i, -1/5, 8, √7}

1) a) From the set {-5, 3+4i, 0.25, 6, ½ , √(-49), √2, 3i, -1/5, 8, √7}
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 Real Numbers (4 marks)
b) Calculate
i) 6 x (-4) - (-17 + 8) + 6 x (-3) = ii) -6(-4) - 3(-5) + 3(-3) =
5(-4)+ (-2)7 - 8(-4) (4, 4 marks)
2) Calculate
a) 3
3
/4 x (-2
2
/5) ÷ 1
2
/7 - 3
2
/3 = (4 marks)
b) Solve 3(x – 5) = (2x – 1) + 1 (4 marks)
5 4
3) a) i) Calculate the simple interest earned on a investment of $ 400,000
after 12 years at a rate of 3.5 %. (2 marks)
ii) Calculate the time needed on an investment of $400,000 to gained
an interest of $60,000 if the interest rate is 3%. (3 marks)
b) 3 burgers and 2 drinks cost $35.00
2 burgers and 1 drink cost $22.00
What is the cost of each item? (5 marks)
4) a) 12 samples of different pastries are on display as customers leave a bakery, they
are told that they can choose any 5 samples.
How many different selections can a customer make? (3 marks)
b) The following day 4 drink samples are add and customers are told that they can take 4 pastries
samples and 2 drink samples. How many different selections does the customer now make?
(5 marks)
5) In an AP the 9
th Term is 2 times the 4
th Term and the 12th Term is 78.
What is the sum of the first twenty terms? (5 marks)
.
6) In a GP the 8
th term is 384 and the 3rd term is 12. Find the sum of the first 10 terms.
(4 marks)
7) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
Set A – { 0, 1, 2, 5, 7, 9, 10} and Set B – { 1, 3, 5, 6, 9}
Answer the following questions.
a) B – A = b) AUB’ = c) A’∩ B’ =
d) A’UB’ = e) n(A’∩B) = (10 marks)
8) A Company has 800 employees who bank with the Bank of Berba and First Public Bank.
312 bank with the Bank of Berba and 564 bank with the First Public Bank.
How many employees bank with both banks, if 12 employees have no bank accounts?