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1.

Find the values of x for which

\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4

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A.
x < 8
B.
x > -6
C.
x < 4
D.
x > -3

2.

Find the values of x for which

\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4

Join or view discussions on this question
A.
x < 8
B.
x > -6
C.
x < 4
D.
x > -3

A.
65
B.
23
C.
17
D.
91

4.

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

 

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A.
\(\frac{5}{8}\)
B.
\(\frac{5}{16}\)
C.
\(\frac{1}{2}\)
D.
\(\frac{3}{8}\)
Explanation. Give a better Explanation

Each multiplication of elements gives 16 results out of which the ones that are not greater than 6 are asterisked (*) and they are 8 in numbers

  Pr(product of x and y NOT > 6 ) = \(\frac{8}{16}\) = \(\frac{1}{2}\)



5.

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

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A.
1000
B.
2000
C.
3000
D.
4000

6.

Evaluate 5\(^{-3}\) log\(^2\) x 2 \(^{2 \log 3}\)

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A.
8
B.
\(\frac{1}{8}\)
C.
1\(\frac{1}{8}\)
D.
\(\frac{2}{5}\)

7.

A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

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A.
7
B.
6
C.
5
D.
4
Explanation. Give a better Explanation

Profit (P) = 10\(_x\) − \(_x\)2

  Maximum profit can be achieved when the differential of profit with respect to number of bags(x) is 0

  i.e. \(\frac{dp}{dx}\) = 0

 \(\frac{dp}{dx}\) = 10 - 2x = 0

  10 = 2x

  Then x = \(\frac{10}{2}\) = 5

  Answer is C



8. q-image

Find the value of x in the diagram

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A.
10°
B.
28°
C.
36°
D.
40°
Explanation. Give a better Explanation

The diagram shows angles at a point, the total angle at a point is 360

  x - 10 + 4x - 50 + 2x + 3x + 20 = 360

  10x - 40 = 360

  10x = 360 + 40

  10x = 400

  x = \(\frac{400}{10}\)

  x = 40



9.

Solve for t in the equation \(\frac{3}{4}\)t + \(\frac{1}{3}\)(21 - t) = 11

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A.
\(\frac{9}{13}\)
B.
\(\frac{7}{13}\)
C.
5
D.
9\(\frac{3}{5}\)
Explanation. Give a better Explanation

\(\frac{3}{4}\) t + \(\frac{1}{3}\) (21 - t) = 11

  Multiply through by the LCM of 4 and 3 which is 12

  12 x(\(\frac{3}{4}\) t) + 12 x (\(\frac{1}{3}\) (21 - t)) = (11 x 12)

  9t + 4(21 - t) = 132

  9t + 84 - 4t = 132

  5t + 84 = 132

  5t = 132 - 84 = 48

  t = \(\frac{48}{5}\)

  t = 9 \(\frac{3}{5}\)

  Answer is D



10.

A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?

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A.
\(\frac{5}{6}\)
B.
\(\frac{7}{12}\)
C.
\(\frac{5}{12}\)
D.
\(\frac{1}{6}\)

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