22

A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue

  • A. \(\frac{2}{9}\)
  • B. \(\frac{5}{18}\)
  • C. \(\frac{20}{81}\)
  • D. \(\frac{5}{9}\)
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23

In the diagram, O is the centre of the circle, < QPS = 100o, < PSQ = 60o and < QSR. Calculate < SQR

  • A. 20o
  • B. 40o
  • C. 60o
  • D. 80o
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24

Simplify \(\frac{(p – r)^2 – r^2}{2p^2 – 4pr}\)

  • A. \(\frac{1}{2}\)
  • B. p - 2r
  • C. \(\frac{1}{p - 2r}\)
  • D. \(\frac{2p}{p - 2r}\)
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25

If 20(mod 9) is equivalent to y(mod 6), find y.

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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26

Examine M’ \(\cap\) N from the venn diagram

  • A. {f, g}
  • B. {e}
  • C. {e, f, g}
  • D. {e, f, g}
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27

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]

  • A. 70o
  • B. 60o
  • C. 55o
  • D. 42o
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28

The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of \(\Delta\) QNP = 6cm, calculate the area of the trapezium.

  • A. 96cm2
  • B. 90cm2
  • C. 81cm2
  • D. 27cm2
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29

Express 1975 correct to 2 significant figures

  • A. 20
  • B. 1,900
  • C. 1,980
  • D. 2,000
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30

A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r

  • A. \(\frac{2}{3}\)
  • B. 2
  • C. 3
  • D. 6
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31

If log2(3x – 1) = 5, find x.

  • A. 2.00
  • B. 3.67
  • C. 8.67
  • D. 11
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32

The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range

  • A. 16
  • B. 14
  • C. 13
  • D. 11
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33

A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?

  • A. \(\frac{5}{36}\)
  • B. \(\frac{1}{6}\)
  • C. \(\frac{5}{18}\)
  • D. \(\frac{2}{3}\)
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34

The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food?

  • A. Le 2,250,000.00
  • B. Le 22,700,000.00
  • C. Le 3,600,000.00
  • D. Le 4,500,000.00
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35

In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = \(\sqrt{3}\)cm. Find UTW

  • A. 135o
  • B. 105o
  • C. 75o
  • D. 60o
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36

In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find < TQU.

  • A. 120o
  • B. 108o
  • C. 72o
  • D. 60o
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37

In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177o. Calculate < PST.

  • A. 54o
  • B. 44o
  • C. 34o
  • D. 27o
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38

Kweku walked 8m up to slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?

  • A. 4.5m
  • B. 6.0m
  • C. 7.5m
  • D. 9.0m
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39

In the diagram, O is the centre of the circle, < XOZ = (10cm)o and < XWZ = mo. Calculate the value of m.

  • A. 30
  • B. 36
  • C. 40
  • D. 72
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40

In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ = 113o and < RSt = 220, find < PSQ

  • A. 22o
  • B. 45o
  • C. 67o
  • D. 89o
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41

In the diagram, \(\bar{YW}\) is a tangent to the circle at X, |UV| = |VX| and < VXW = 50ΒΊ. Find the value of < UXY.

  • A. 70o
  • B. 80o
  • C. 105o
  • D. 110o
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42

\(\begin{array}{c|c}
Age(years) & 13 & 14 & 15 & 16 & 17 \\
\hline
Frequency & 10 & 24 & 8 & 5 & 3
\end{array}\)
Find the median age

  • A. 13
  • B. 14
  • C. 15
  • D. 16
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