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MATHEMATICS
1. Divide 300 into parts so that half of one part is less than the other part by 48. A. 160, 140. B. 168, 132. C. 150, 150. D. 120, 180
2. Find the area of the triangle whose vertices are (x, x), (0, 2x), (2x, 0). A. 4x2 units B. 0 units C. 2x2 units. D. X2 units
3. A person has 3 shares in a lottery containing 2 prizes and 8 blanks. The chance of getting a prize is A. 8/15. B. 12/15. C. 7/15. D. 6/15
4. A student's marks were wrongly entered as 83 instead of 63. As a result, the average marks of the class increased by 0.5. The number of students in the class is. A. 10. B. 20. C. 40. D. 73
5. Water tax is increased by 20% but its consumption is decreased by 20%, then the increase or decrease in the expenditure is A. 5% B. 4% C. 6% D. 8%
By what factor would you increase the cost of a small pizza if its radius was increased by a factor of 4 times or 5 or 10? Try identify a pattern and why the pattern exists.

4 squared = 16. That means 16 x the cost of the small pizza
5 squared = 25. That means 25 x the cost of the small pizza
10 squared= 100 That means 100 x the cost of the small pizza

We see the pattern of multiplying the cost of the small pizza by the result of the number squared.
Find ratio of temperature of second and third week of june 2019
a) 35=5x?
b)50=2x5x ?
c)30=2x?x?
d)54=2x3
given f(x)=3x(x-1)^5, compute f'''(x)
Farouk scored 110% in his mathematics test. Explain how this is possible. Give an example of actual mark allocations that will prove your answer.
Solve the following differential equations:
i) dy/dx = cot(y + x) −1
Find the values of x for which the function f(x)=x^3–3x, is increasing.
Explain with the help of appropriate diagrams the difference between a microware circulator and directional coupler.
2.Evaluate ∫cos(6x+4)dx
a.sin(6x+4)
--------- +c
6

b.cos(6x+4)
--------- +c
6
c.tan(6x+4)
--------- +c
6
d.sec(6x+4)
--------- +c
6