MATHEMATICS
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1. Without using table, evaluate (243)⅕ * (0.09)-1 * 125-⅔ *
2 points
2. Find the principal which amount to =N= 4,400 at simple interest in 5years at 2% per annum. 
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2 points
3. The sum of the first 20 terms of the progression 3, 6, 12, … is
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2 points
4. Mr. Robson bought bags of orange for =N=2,500 each. He sold them for =N=90,000 at a loss of 20%. How many bags of orange did he buy?
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2 points
5. The second and fifth terms of a geometric progression are 21 and 567 respectively find the first term and the common ratio of the progression
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2 points

6. Tunse bought a house for =N=1,250,000 and spent =N=350,000.00 to renovate it. He then sold the house for =N=2,000,000.00. What is the percentage gain?

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2 points
7. List the integral values of which satisfy the inequality -2 < 7 – 3x ≤ 10
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2 points
8. In a class, 120 students speak English or French or both. 70 speak English and 55 speak French. How many speak English but not French.
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2 points

9. The lengths of the sides of a right angled triangle are ym, (3y – 1)m and (3y + 1)m, find y.

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2 points

10. A ladder resting on a vertical wall makes an angle whose tangent is 2.5 with the ground. If the distance between the foot of the ladder and the wall is 60cm, what is the length of the ladder?

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2 points

11. Three students share a bag of garri in such a way that the first student took¼ of the garri and the second¾ of the remainder.    What fraction of the bag of garri did the third student take?

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2 points
12. Solve the simultaneous linear equations 2x + 5y = 11, 7x + 4y = 2
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2 points

13. If x + 1 is a factor of x3 + 3x2 + Kx + 4, find the value of K.

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2 points
14. What factor is common to all the expressions x2 - x, 2x2 - x - 1 and x2 - 1?
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2 points

15.  If y = 5cos (-6x), dx/dy is

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2 points

16. The chances of three independent events P, Q, R occurring are ½, ⅔, ¼ respectively.        What are the chances of P and Q only occurring?

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2 points

17.  If x and y represent the mean and the median respectively of the following marks of students in a Mathematics test 11, 12, 13, 14, 15, 16, 17, 18, 19, 21.        Find x/y correct to 1 decimal places.

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2 points
18 OOU allocations to various Faculties in a school budget are as follows:

Science =N=35,000,000.00
Education =N=25,000,000.00
Law =N=20,000,000.00
Social and Management- =N=20,000,000.00

In a pie chart to represent this information the corresponding angle to Science is
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2 points

19.   Divide the L.C.M. of 36, 54 and 90 by their HCF

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2 points
41. The number 327,036 was corrected to 327,000. Which of the following can exactly describe the degree of approximation used?
I. to 3 significant figures
II. to 4 significant figures 
III         to the nearest hundred 
IV to the nearest thousand

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2 points
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