Answer To Mathematics Neco 2017

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1. Question 1 of 50

   Simplify \( \scriptsize 1  \normalsize \frac{1}{2}  \scriptsize +  \scriptsize 2  \normalsize \frac{1}{3} \scriptsize \; \times \; \normalsize  \frac{3}{4} \scriptsize \;  – \; \normalsize \frac{1}{2} \)

   • \(\scriptsize 3 \frac{3}{4}\)
   • \( \scriptsize 3\frac{1}{4}\)
   • \( \scriptsize 2\frac{3}{4}\)
   • \(\scriptsize 1\frac{3}{4}\)
   • \(\scriptsize 1\frac{1}{4}\)

2. Question 2 of 50

   Evaluate \(\frac{16.54}{0.0536} \scriptsize\times 18.25\)

   Leave your answer to three significant figures.

   • 16.697
   • 16.820
   • 16.900
   • 16.909
   • 16.910

3. Question 3 of 50

   Simplify \(\normalsize \frac {8^2\; \times \; 4^0\; \times\;  8 ^{-3}}{7^3 \; \div\; 7^6}\)

   • \(\frac {343}{8} \)
   • \(\frac {343}{7} \)
   • \(\frac {343}{5} \)
   • \(\frac{243}{8} \)
   • \(\frac{243}{5} \)

4. Question 4 of 50

   Simplify \( \scriptsize\frac{1}{3} log_2 \scriptsize64 \)

   • 2
   • 3
   • 4
   • 6
   • 12

5. Question 5 of 50

   \(\scriptsize If \; log_{10} 2 = 0.3010\; and\; log_{10}3 = 0.4771  \\ \scriptsize Find\; log_{10} 54.\)

   Correct to the nearest whole number.

   • 6
   • 5
   • 3
   • 2
   • 1

6. Question 6 of 50

   Evaluate 0.6721 x 0.0261 and express your answer in standard form

   • 1754 x 10⁴
   • 1754 x 10³
   • 1.754 x 10^-3
   • 1.754 x 10^-2
   • 1.754 x 10^-1

7. Question 7 of 50

   The first term of a geometric progression is 6 if its common ratio is\( \scriptsize \frac {2}{3}\), find the 5^th

   • \( \frac{128}{243} \)
   • \( \frac{61}{81} \)
   • \(\frac {8}{3} \)
   • \(\frac {16}{9} \)
   • \(\frac {32}{27} \)

8. Question 8 of 50

   The first and last terms of an Arithmetic progression are 6 and 153 respectively. If there are 50 terms in the sequence, find its common difference.

   • 9
   • 7
   • 6
   • 4
   • 3

9. Question 9 of 50

   Given that 244x = 10224. What is the positive value of x?

   • 3
   • 4
   • 5
   • 6
   • 7

10. Question 10 of 50

    If 30145 = 21125 + y5, find the value of y.

    • 10131
    • 5131
    • 5126
    • 902
    • 402

11. Question 11 of 50

    Simplify \(\frac{2 \; \sqrt{5}}{2\sqrt{5 \; – \; 1}}\)

    • \(\frac{1}{19}\scriptsize\left (10 \: + \; 5\sqrt{5}\right)\)
      
    • \(\frac{1}{19}\scriptsize\left (12\; – \; 4\sqrt{5} \right)\)
    • \(\frac{1}{19}\scriptsize\left (12\; + \; 4\sqrt{5} \right)\)
    • \(\frac{1}{19}\scriptsize\left (12\; – \; 5\sqrt{5} \right)\)
    • \(\frac{1}{19}\scriptsize\left (12\; + \; 5\sqrt{5} \right)\)

12. Question 12 of 50

    A shareholder bought shares worth N100, 000.00 on ordinary share at N00 each. If a dividend of 15 kobo per share is declared, how much dividend was received?

    • N13,333.33
    • N12,000.00
    • N10,000.00
    • N9,500.00
    • N7,500.00

13. Question 13 of 50

    Find the future value of an ordinary annuity of N500.00 paid yearly for 4 years at 10% per annum.

    • N700.00
    • N732.05
    • N923.50
    • N1,232.05
    • N2320.50

14. Question 14 of 50

    Find the determinant of the matrix

    \( K = \begin{pmatrix} 3 \;  0 \;  -1  \\ 1 \;  2 \;  -3 \\ -2  \; -1  \; 1 \end{pmatrix}\)

    • -6
    • -3
    • 0
    • 3
    • 6

15. Question 15 of 50

    Find the sum of the first 40 even positive integers.

    • 1,600
    • 1640
    • 1680
    • 3200
    • 3280

16. Question 16 of 50

    The first term of an Arithmetic progression is -3, if the sixth term is 22. Find the mean of the common difference and the first term.

    • 1
    • 4
    • 5
    • 7
    • 8

17. Question 17 of 50

    Find the perimeter of a sector of a circle with radius 7cm which subtends an angle of 180⁰ at the centre of the circle.

    • 36cm
    • 44cm
    • 58cm
    • 74cm
    • 108cm

18. Question 18 of 50

    Victoria went for a doctor's appointment on Monday. If her next appointment is 45 days after, which day of the week will it be?

    • Friday
    • Monday
    • Saturday
    • Thursday
    • Wednesday

19. Question 19 of 50

    Solve the inequality 3x – 5  ≥ 20 – 2x

    • x > 4
    • x ≥ 4
    • x ≥ 5
    • x < 5
    • x ≤ 5

20. Question 20 of 50

    \(\scriptsize (2a\; + \; b)^2 \; -\;(b\;-\;2a)^2 \)

    • -8ab
    • 4ab
    • 8ab
    • -4ab
    • 16ab

21. Question 21 of 50

    If \(\scriptsize 4x^2\; – \;12x \) as a perfect square by using method of completing the square

    • 36
    • 9
    • \(\frac{9}{4} \)
    • \(\frac{-9}{4} \)
    • -9

22. Question 22 of 50

    If (a – 3) is one of the factors of a² + 14a – 51, find the other factor.

    • (a – 11)
    • (a + 17)
    • (a – 17)
    • (a + 48)
    • (a – 48)

23. Question 23 of 50

    Find the gradient of a straight line joining the points (-3, 0) and (0, 5).

    • 20
    • 10
    • \(\scriptsize 1 \frac{2}{3}\)
    • \(\frac{-3}{2} \)
    • \(\frac {-5}{3} \)

24. Question 24 of 50

    A quadratic equation whose roots are \( \scriptsize \frac{-5}{4} \; and \; \scriptsize \frac{3}{4} \; is \)

    • \(\scriptsize 16x^2\; + \; 2x \; – \; 15 = 0 \)
    • \(\scriptsize 16x^2\; – \; 2x \; + \; 15 = 0 \)
    • \(\scriptsize 16x^2\; – \; 4x \; – \; 15 = 0 \)
    • \(\scriptsize 16x^2\; – \; 8x \; + \; 15 = 0 \)
    • \(\scriptsize 16x^2\; + \; 8x \; – \; 15 = 0 \)

25. Question 25 of 50

    If P varies directly as \(\scriptsize \sqrt{Q}\) and P = 6 when Q = 81, find the value of P When Q = \(\scriptsize \frac{1}{4}\)

    • 3
    • \(\normalsize \frac {1}{2} \)
    • \(\normalsize \frac {1}{3} \)
    • – \(\normalsize \frac {1}{2} \)
    • -3

26. Question 26 of 50

    

    What is the maximum value of y?

    • 6.05
    • 4.05
    • -4.05
    • -5.05
    • -10.05

27. Question 27 of 50

    

    What is the value of y when x = 0?

    • 9
    • 6
    • 5
    • -9
    • -15

28. Question 28 of 50

    Let P: I study hard

    q: I pass physics

    r: I am happy.

    Translate P ⇒ (q v r) into statement

    • I am happy but I pass physics
    • I pass physics and I am happy
    • If I do not study hard, then I pass physics and I am happy
    • If I study hard, then I pass physics and I am happy
    • If I study hard, then I pass physics or I am happy

29. Question 29 of 50

    Let P: I like bread with egg

    q: I like ginger in tea

    Translate "I like ginger in tea but not bread with egg" into symbol

    • q ∨ p
    • q ∧ p
    • q ∨ ≈ p
    • q ∧ ≈ p
    • ≈ q ∧ p

30. Question 30 of 50

    Given that (2x -1) (x + 5) = 2×2 – mx – 5. Find the value of m.

    • 11
    • 5
    • -5
    • -9
    • -10

31. Question 31 of 50

    Find the midpoint of a line joining the points M (4, 0), N(3, P).

    • \(\left (\frac {p}{2}, \frac {7}{2} \right ) \)
    • \(\left (\frac {7}{2}, \frac {p}{2} \right ) \)
    • \(\left (\frac {1}{2}, \frac {p}{2} \right ) \)
    • \(\left (\frac {p}{2}, \frac {1}{2} \right ) \)
    • \( \left ( \scriptsize 0, \normalsize \frac {7}{2} \right ) \)
      

32. Question 32 of 50

    Find the equation of a line with gradient 3, passing through (1, 4).

    • 3x – y = 1
    • 3x – y = -2
    • y – 3x = 1
    • y – 3x = -4
    • y – 3x = 3

33. Question 33 of 50

    solve the simultaneous equations

    \(\scriptsize y = \normalsize \frac{1}{3} \scriptsize x -1, 3x – 2y = 4 \)

    • \(\frac {12}{7}, \frac{5}{7} \)
    • \(\frac {7}{6}, \frac{-5}{7} \)
    • \(\frac {6}{7}, \frac{-5}{7} \)
    • \(\frac {-5}{7}, \frac{6}{7} \)
    • \(\frac {3}{5}, \frac{2}{7} \)

34. Question 34 of 50

    Given that Sin \(\scriptsize \theta = \normalsize \frac{7}{9} , \) find the value of \( \scriptsize 9cos \theta \)

    • \(\frac {7}{81} \)
    • \(\frac {4\sqrt{2}}{9} \)
    • \(\scriptsize 4\sqrt{2} \)
    • \(\scriptsize 9 \sqrt{2} \)
    • \(\scriptsize 36 \sqrt{2} \)

35. Question 35 of 50

    Find the value of x in the figure below.

    

    • \(\scriptsize 2\sqrt{2cm} \)
    • \(\scriptsize 3 \sqrt{2cm} \)
    • \(\scriptsize 3\sqrt{3cm} \)
    • \(\scriptsize \sqrt{3cm} \)
    • \(\frac{\sqrt{3}}{2} \scriptsize cm\)

36. Question 36 of 50

    In the figure below, ABC is isosceles. Calculate <BED

    

    • \(\scriptsize 105^{\circ}\)
    • \(\scriptsize 100^{\circ}\)
    • \(\scriptsize 95^{\circ}\)
    • \(\scriptsize 85^{\circ}\)
    • \(\scriptsize 75^{\circ}\)

37. Question 37 of 50

    

    In the figure above, if the area of the square is 162cm², calculate the radius of the circle.

    • 12cm
    • 10cm
    • 9cm
    • 8cm
    • 7cm

38. Question 38 of 50

    Calculate the area of the shaded region in the figure below.

    

    • \(\scriptsize 16.73cm^2 \)
    • \(\scriptsize 27.75cm^2 \)
    • \(\scriptsize 48.05cm^2 \)
    • \(\scriptsize 93.20cm^2 \)
    • \(\scriptsize 110.00cm^2 \)

39. Question 39 of 50

    

    In the diagram above, AOB is a diameter. Find the angle marked x.

    • \(\scriptsize 60^{\circ} \)
    • \(\scriptsize 55^{\circ} \)
      
    • \(\scriptsize 50^{\circ} \)
    • \(\scriptsize 45^{\circ} \)
    • \(\scriptsize 30^{\circ} \)

40. Question 40 of 50

    

    In the figure above, AD is a chord of a circle centre at O. find <ACD

    • \(\scriptsize 90^{\circ} \)
    • \(\scriptsize 80^{\circ} \)
    • \(\scriptsize 70^{\circ} \)
    • \(\scriptsize 50^{\circ} \)
    • \(\scriptsize 40^{\circ} \)

41. Question 41 of 50

    In the figure above, ABCD is a cyclic quadrilateral and O is the centre of the circle. find <ACB

    • \(\scriptsize 20^{\circ} \)
    • \(\scriptsize 40^{\circ} \)
    • \(\scriptsize 60^{\circ} \)
    • \(\scriptsize 80^{\circ} \)
    • \(\scriptsize 100^{\circ} \)

42. Question 42 of 50

    Calculate, correct to the nearest degree, the parallel of latitude in the southern hemisphere along which a journey of 320km makes a change of 210 in longitude.

    \((\scriptsize Take\;  \Lambda \normalsize \frac {22}{7} \; \scriptsize  and \; \scriptsize R = 6400km) \)

    • 80
    • 160
    • 660
    • 820
    • 920

43. Question 43 of 50

    The positions of two cities M and N are (140N, 300E) and (720N, 300E) respectively. How far is city N from M?

    \(\scriptsize Take \; \lambda = \normalsize \frac {22}{71}, \scriptsize R = 6400km \)

    • 9610.16km
    • 8610.16km
    • 6481.27km
    • 6400.27km
    • 5364.18km

44. Question 44 of 50

    Calculate the volume of a sphere with radius 6cm \(\scriptsize (Take \; \Lambda \; = \; 3.14)\)

    • \( \scriptsize 2716.96cm^3 \)
    • \( \scriptsize 904.32cm^3 \)
    • \( \scriptsize 902.88cm^3 \)
    • \( \scriptsize 452.16cm^3 \)
    • \( \scriptsize 216.00cm^3 \)

45. Question 45 of 50

    What is the value of x if the gradient of the line joining (-2, x) and (x, 3) is \(\normalsize \frac {1}{2} \)

    • -3
    • -2
    • 1
    • 2
    • 3

46. Question 46 of 50

    An arc of a circle of radius 6cm subtends and angle of 450 at the centre of the circle. Find the length of the arc in terms of \(\scriptsize \Lambda .\)

    • \(\scriptsize 7\Lambda cm \)
    • \(\scriptsize 2\Lambda cm \)
    • \(\normalsize \frac {3}{2} \scriptsize \Lambda cm \)
    • \(\normalsize \frac { \Lambda}{2} \scriptsize cm \)
    • \(\normalsize \frac { \Lambda}{6} \scriptsize cm \)

47. Question 47 of 50

    Find the distance between the points C (3, 3) and D(-1, 5).

    • \(\scriptsize 4\sqrt{17} \)
      
    • \(\scriptsize 3\sqrt{17} \)
    • \(\scriptsize 4\sqrt{5} \)
    • \(\scriptsize 2\sqrt{5} \)
    • \(\scriptsize \sqrt{3} \)

48. Question 48 of 50

    The bearing of a town Q from a town P is 0450. Find the bearing of P from Q.

    • 0450
    • 0900
    • 1350
    • 1800
    • 2250

49. Question 49 of 50

    Find the mean of \(\scriptsize 4\normalsize \frac{1}{2}, \scriptsize 7, 6, 5, 8, \scriptsize 5 \normalsize \frac{1}{2}, \scriptsize 3.25 ,  \scriptsize 5 \normalsize \frac{1}{2}, \scriptsize 1 \normalsize \frac{1}{4} \; \scriptsize and \; \scriptsize 3 \normalsize \frac{1}{2} \)

    • \(\scriptsize 1 \normalsize \frac{1}{4} \)
    • \(\scriptsize 3 \normalsize \frac{1}{2} \)
    • 5
    • \(\scriptsize 5 \normalsize \frac{1}{2} \)
    • \(\scriptsize 3 \normalsize \frac{1}{2} \)

50. Question 50 of 50

    Find the mode of the date below;

    

    • 6.7
    • 6.3
    • 5.8
    • 5.2
    • 5.2
    • 4.4

Answer To Mathematics Neco 2017

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