Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.
Find the mean of the following 24.57, 25.63, 24.32, 26.01, 25.77
A25.12
B25.30
C25.26
D25.50
E25.75
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Question 1042
jamb1983
In a triangle PQT, QR = \(\sqrt{3}cm\), PR = 3cm, PQ = \(2\sqrt{3}\)cm and PQR = 30o. Find angles P and R
AP = 60o and R = 90o
BP = 30o and R = 120o
CP = 90o and R = 60o
DP = 60o and R 60o
EP = 45o and R = 105o
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Question 1043
jamb1983
PQR is the diameter of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60º. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)
A25cm
B18cm
C36cm
D29cm
E25.5cm
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Question 1044
jamb1983
Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).
A\(\frac{9a^2}{2a^3}\)
B\(\frac{3}{2a^3}\)
C\(\frac{2}{3a^2}\)
D\(\frac{3a^2}{2}\)
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Question 1045
jamb1983
On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures.
A6.00cm2
B6.10cm2
C6cmv
D6.09cm2
E4.00cm2
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Question 1046
jamb1983
In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per house hold
\(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\)
What is the median?
A4
B3
C5
D4.5
ENone
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Question 1047
jamb1983
A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?
A20o 34'
B243o 26'
C116o 34'
D63o 26'
E240o 56'
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Question 1048
jamb1983
One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x
A120o
B110o
C105o
D102o
E100o
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Question 1049
jamb1983
Factorize completely 81a\(^4\) - 16b\(^4\)
A(3a + 2b)(2a - 3b)(9a2 + 4b2)
B(3a - 2b)(2a - 3b)(4a2 - 9b2)
C(3a - 2b)(3a + 2b)(9a2 + 4b2)
D(6a - 2b)(8a - 3b)(4a3 - 9b2)
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Question 1050
jamb1983
Without using tables find the numerical value of log\(_7\)49 + log\(_7\)(\(\frac{1}{7}\))
A1
B2
C3
D7
E9
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Question 1051
jamb1983
If \((\frac{2}{3})^{m} (\frac{3}{4})^{n} = \frac{256}{729}\), find the values of m and n.
Am = 4, n = 2
Bm = -4, n = -2
Cm = -4, n =2
Dm = 4, n = -2
Em = -2, n = 4
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Question 1052
jamb1983
If a rod of length 250cm is measured as 255cm long in error, what is the percentage error in the measurement?
A55
B10
C5
D4
E2
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Question 1053
jamb1983
Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures
A4.46
B4.48
C4.47
D4.49
E4.50
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Question 1054
jamb1983
The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel
A\(\frac{7}{13}\)
B\(\frac{5}{13}\)
C\(\frac{6}{13}\)
D\(\frac{8}{13}\)
E\(\frac{4}{13}\)
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Question 1055
jamb1983
The scores of 16 students in a Mathematics test are 65, 65, 55, 60, 60, 65, 60, 70, 75, 70, 65, 70, 60, 65, 65, 70. What is the sum of the median and modal scores?
A125
B130
C140
D150
E137.5
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Question 1056
jamb1983
Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26
A15o, 25o, 35o, 40o, 65o
B60o, 100o, 140o, 160o, 260o
C6o, 10o, 14o, 16o, 26o
D30o, 50o, 70o, 80o, 130o
Enone of the above
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Question 1057
jamb1983
Find the missing value in the following table \(\begin{array}{c|c} x & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline Y = x^3 - x + 3 & & 3 & 3 & 3 & 9 & 27\end{array}\)
A-3
B3
C-9
D13
E9
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Question 1058
jamb1983
Solve the simultaneous equations for x in x2 + y - 8 = 0, y + 5x - 2 = 0
A-28, 7
B6, -28
C6, -1
D-1, 7
E3, 2
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Question 1059
jamb1983
If w varies inversely as V and U varies directly as w3, Find the relationship between u and v given that u = 1, when v = 2
Au = \(\frac{8}{v^3}\)
Bv = \(\frac{8}{u^2v^3}\)
Cu = 8v3
Dv = 8u2
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Question 1060
jamb1983
Simplify log\(_{10}\) a\(\frac{1}{3}\) + \(\frac{1}{4}\)log\(_{10}\) a - \(\frac{1}{12}\)log\(_{10}\)a7
