## POST-UTME: OOU – MATHEMATICS

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# 2018 OOU Mathematics Post-UTME

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- Question 1 of 50
##### 1. Question

Without using table, evaluate

${\left(243\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$5$}\right.}*{(0.09)}^{\u20131}*{125}^{\raisebox{1ex}{$\u20132$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}$CorrectIncorrect - Question 2 of 50
##### 2. Question

Three consecutive positive integers a, b and c are such that b

^{2}= 4(a + c). Find the value of cCorrectIncorrect - Question 3 of 50
##### 3. Question

Find the principal which amount to â‚¦4,400 at simple interest in 5 years at 2% per annum

CorrectIncorrect - Question 4 of 50
##### 4. Question

The sum of the first 20 terms of the progression 3,6,12,â€¦ is

CorrectIncorrect - Question 5 of 50
##### 5. Question

Robson bought bags of orange for â‚¦2,500 each. He sold them for â‚¦90,000 at a loss of 20%. How many bags of orange did he buy?

CorrectIncorrect - Question 6 of 50
##### 6. Question

The second and fifth terms of a geometric progression are 211 and 567 respectively find the first term and the common ratio of the progression.

CorrectIncorrect - Question 7 of 50
##### 7. Question

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

CorrectIncorrect - Question 8 of 50
##### 8. Question

List the integral values of which satisfy the inequality -2<7-3xâ‰¤10

CorrectIncorrect - Question 9 of 50
##### 9. Question

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

CorrectIncorrect - Question 10 of 50
##### 10. Question

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

CorrectIncorrect - Question 11 of 50
##### 11. Question

Uche, Adamu and Ope share profit on a business deal. Uche received 1/3 of the profit and Adamu received 2/3 of the remainder. If Ope received the remaining â‚¦12,000, how much profit did they share?

CorrectIncorrect - Question 12 of 50
##### 12. Question

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?

CorrectIncorrect - Question 13 of 50
##### 13. Question

Three students share a bag of garri in such a way that the first student took

^{1}/_{4}of the garri and the second^{3}/_{4}of the remainder. What fraction of the bag of garri did the third student take?CorrectIncorrect - Question 14 of 50
##### 14. Question

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

CorrectIncorrect - Question 15 of 50
##### 15. Question

If x + 1 is a factor of x

^{3}+ 3x^{2}+ Kx + 4, find the value of kCorrectIncorrect - Question 16 of 50
##### 16. Question

Paul and his friend, Peter went to buy an article costing â‚¦600 Peter had 10% of the cost and Paul 40% of the remainder. How much did they have altogether?

CorrectIncorrect - Question 17 of 50
##### 17. Question

Find all values of x satisfying the inequality -14â‰¤43xâ‰¤31

CorrectIncorrect - Question 18 of 50
##### 18. Question

What factor is common to all the expression x

^{2}-x, 2x^{2}-x-1 and x^{2}-1?CorrectIncorrect - Question 19 of 50
##### 19. Question

Find the sum to infinity of the following seriesÂ

$3+2+4\u20443+8\u20449+16\u204427+\cdots $CorrectIncorrect - Question 20 of 50
##### 20. Question

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle

CorrectIncorrect - Question 21 of 50
##### 21. Question

Find the value of p, if the line which passes through (-1,-p) and (-2p,2) is parallel to the line 2y+8x-17=0

CorrectIncorrect - Question 22 of 50
##### 22. Question

Obtain a maximum value of the function f(x) = x

^{2}-12x+11CorrectIncorrect - Question 23 of 50
##### 23. Question

$\mathrm{If}\mathrm{y}=5\mathrm{cos}(\u20136\mathrm{x}),\raisebox{1ex}{$\mathrm{dx}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{dy}$}\right.\mathrm{is}$CorrectIncorrect - Question 24 of 50
##### 24. Question

Find the variance of the numbers k,k+1,k+2

CorrectIncorrect - Question 25 of 50
##### 25. Question

At what value of x is the function y = x

^{2}â€“ 6x â€“ 7 minimumCorrectIncorrect - Question 26 of 50
##### 26. Question

$\mathrm{The}\mathrm{chances}\mathrm{of}\mathrm{three}\mathrm{independent}\mathrm{events}\phantom{\rule{0ex}{0ex}}\mathrm{P},\mathrm{Q},\mathrm{R}\mathrm{occurring}\mathrm{are}\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.,\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.,\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$4$}\right.\mathrm{respectively}.\phantom{\rule{0ex}{0ex}}\mathrm{What}\mathrm{are}\mathrm{the}\mathrm{chances}\mathrm{of}\mathrm{P}\mathrm{and}\mathrm{Q}\mathrm{only}\mathrm{occurring}?$CorrectIncorrect - Question 27 of 50
##### 27. Question

If x and y represent the mean and the median of students in a Mathematics test 11, 12, 13, 14, 15, 16, 17, 18, 19, 21.

Find x/y correct to 1-decimal places.

CorrectIncorrect - Question 28 of 50
##### 28. Question

Find the point on the Eucidean plane where the curve y = 2x

^{2}-2x+9 has 2 as gradientCorrectIncorrect - Question 29 of 50
##### 29. Question

Find the equation of the line through (5,7) parallel to the line 7x+5y-5=0

CorrectIncorrect - Question 30 of 50
##### 30. Question

AAUA allocations to various faculties in a school budget are as follows:

Science Â Â Â Â Â Â Â Â Â Â Â â‚¦35,000,000.00

EducationÂ Â Â Â Â Â Â â‚¦25,000,000.00

LawÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â â‚¦20,000,000.00

Social and ManagementÂ Â Â Â Â â‚¦20,000,000.00

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

CorrectIncorrect - Question 31 of 50
##### 31. Question

$\mathrm{Simplify}3\frac{1}{3}\u20131\frac{1}{4}\times \frac{2}{3}+\frac{2}{5}$CorrectIncorrect - Question 32 of 50
##### 32. Question

Find the distance between points A(-4,5) and B(-3,2)

CorrectIncorrect - Question 33 of 50
##### 33. Question

No of children

0

1

2

3

4

5

6

No of families

7

11

6

7

7

5

3

Find the mode and median respectivelyÂ of the distribution above.

CorrectIncorrect - Question 34 of 50
##### 34. Question

$\mathrm{Rationalize}\frac{\left(4\sqrt{7}+\sqrt{2}\right)}{\left(\sqrt{2}\u2013\sqrt{7}\right)}$CorrectIncorrect - Question 35 of 50
##### 35. Question

A housewife bought five yams at Y34 per yam and three oranges at Y5 each where Y is the currency reckoned in base six. The total amount spent by the housewife is

CorrectIncorrect - Question 36 of 50
##### 36. Question

Justice starts a 5km walk from P on a bearing 023

^{0}. He then walks 4km on a bearing of 113^{0}to Q. What is the bearing of Q from P?CorrectIncorrect - Question 37 of 50
##### 37. Question

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

CorrectIncorrect - Question 38 of 50
##### 38. Question

If 125x=20

_{10}find xCorrectIncorrect - Question 39 of 50
##### 39. Question

$\mathrm{Simplify}4\frac{1}{3}(2\frac{1}{2}\u20131\frac{3}{5})$CorrectIncorrect - Question 40 of 50
##### 40. Question

$\mathrm{If}\mathrm{x}:\mathrm{y}=\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.:\raisebox{1ex}{$5$}\!\left/ \!\raisebox{-1ex}{$6$}\right.\mathrm{and}\mathrm{y}:\mathrm{z}=\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$4$}\right.:\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.$Find x:y:z

CorrectIncorrect - Question 41 of 50
##### 41. Question

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*CorrectIncorrect - Question 42 of 50
##### 42. Question

If 101010

_{2}= X_{10}+1111_{2}the value of X isCorrectIncorrect - Question 43 of 50
##### 43. Question

The population of a school is 1,376. Express this to three significant figures

CorrectIncorrect - Question 44 of 50
##### 44. Question

A labourerâ€™s daily wage is â‚¦80 for the first 10 days and â‚¦100 for the next 9 days. Find the daily wage for the remaining 6 working days of the Month, if his average daily wage for the Month is â‚¦80

CorrectIncorrect - Question 45 of 50
##### 45. Question

Find the value of x if 4lox +5logx-7logx = log16

CorrectIncorrect - Question 46 of 50
##### 46. Question

A motorist drives from P to Q at an average speed of 80km/hr and immediately returns from Q to P through the same route at an average speed of 50km/hr. The average speed for the round-trip journey is

CorrectIncorrect - Question 47 of 50
##### 47. Question

If X ={1,2,3,4,5,6}, Y = {2,4,5,7} and Z = {1,4,5} which of the following is (are) correct?

$\mathrm{I}.\mathrm{n}(\mathrm{X}\cup \mathrm{Y}\cup \mathrm{Z})=13\phantom{\rule{0ex}{0ex}}\mathrm{II}.(\mathrm{X}\cap \mathrm{Y})\cup \mathrm{Z}=\mathrm{X}\cap (\mathrm{Y}\cup \mathrm{Z})\phantom{\rule{0ex}{0ex}}\mathrm{III}.\mathrm{n}(\mathrm{X}\cap \mathrm{Y}\cap \mathrm{Z})=2$CorrectIncorrect - Question 48 of 50
##### 48. Question

X sold a radio set to y at profit of 10% and Y sold it for â‚¦2,612.50 at a loss of 5%. The cost of the radio to X was

CorrectIncorrect - Question 49 of 50
##### 49. Question

Factorize: 62

^{m}+1+7(6^{m})-5CorrectIncorrect - Question 50 of 50
##### 50. Question

The minimum point on the curve y=x

^{2 }-4x+3 isCorrectIncorrect

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