Mathematics Past Questions

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97 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

97 questions
Question 1 of 20 97 total questions
Question 21
waec 2000

If \(104_x = 68\), find the value of x

A5
B7
C8
D9
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Question 22
waec 2000

Which of the following numbers is perfect cube?

A350
B504
C950
D1728
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Question 23
waec 2000

Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\)

A\(\frac{80}{243}\)
B\(\frac{1}{64}\)
C\(\frac{25}{6}\)
D\(\frac{15}{4}\)
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Question 24
waec 2000

What fraction must be subtracted from the sum of \(2\frac{1}{6}\) and \(2\frac{7}{12}\) to give \(3\frac{1}{4}\)?

A\(\frac{1}{3}\)
B\(\frac{1}{2}\)
C\(1\frac{1}{6}\)
D\(1\frac{1}{2}\)
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Question 25
waec 2000

Find the missing number in the addition of the following numbers, in base seven
\(\begin{matrix}
4 & 3 & 2 & 1\\
1 & 2 & 3 & 4\\
* & * & * & *\\
1&2&3&4&1
\end{matrix}\)

A3453
B5556
C6016
D13453
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Question 26
waec 2000

simplify \(\frac{10}{\sqrt{32}}\)

A\(\frac{5}{4}\sqrt{2}\)
B\(\frac{4}{5}\sqrt{2}\)
C\(\frac{5}{16}\sqrt{2}\)
D\(\frac{16}{5}\sqrt{2}\)
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Question 27
waec 2000

Express 398753 correct to three significant figures

A398000
B398700
C398800
D399000
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Question 28
waec 2000

Express \(\frac{7}{19}\) as a percentage, correct to one decimal place

A2.7%
B3.7%
C27.1%
D36.8%
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Question 29
jamb 2000

Change 71\(_{10}\) to base 8

A107\(_{8}\)
B106\(_{8}\)
C71\(_8\)
D17\(_8\)
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Question 30
jamb 2000

Find the values of t for which the determinant of the matrix \(\begin{pmatrix}t-4 & 0 & 0\\ -1 & t+1 & 1\\3 & 4 & t-2\end{pmatrix}\) is zero.

A-4, 2, 3.
B4, -2, 3
C-4, -2, -3
D0, 2, 3
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Question 31
jamb 2000

A matrix P \(\begin{pmatrix}a & b\\ c & d\end{pmatrix}\) is such that P\(^T\) = - P, where P\(^T\) is the transpose of P. If b = 1, then P is 

 

                                         

A\(\begin{pmatrix}0 & 1\\ -1 & 0\end{pmatrix}\)
B\(\begin{pmatrix}0 & 1\\ 1 & 0\end{pmatrix}\)
C\(\begin{pmatrix}0 & 1\\ -1 & 1\end{pmatrix}\)
D\(\begin{pmatrix}1 & -1\\ -1 & 0\end{pmatrix}\)
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Question 32
jamb 2000

The solution of the simultaneous inequalities \(2x - 2 \leq\) y and \( 2y - 2 \leq\) x is represented by 

Use the diagrams above as the OPTIONS 

AA
BB
CC
DD
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Question 33
jamb 2000

A ship sails a distance of 50km in the direction S50ºE and then sails in the distance of 50km in the direction N40ºE. Find the bearing of the ship from its original position.

AS90\(^0\)E
BN40\(^0\)
CS95\(^0\)E
DN85\(^0\)E
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Question 34
jamb 2000

Audu bought an article for N50,000 and sold it to Femi at a loss of x%. Femi later sold the article to Oche at a profit of 40%. If Femi made a profit of N10,000, find the value of x.

A60
B50
C40
D20
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Question 35
jamb 2000

The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?

A17.5 - 20.5
B16.5 - 19.5
C15.5 - 19.5
D15.5 - 18.5
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Question 36
jamb 2000

If the diagram is the graph of y = x\(^2\), the shaded area is

A64 square units
B\(\frac{128}{3}\) square units
C32 square units
D\(\frac{64}{3}\) square units
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Question 37
jamb 2000

In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH

A32cm
B26cm
C20cm
D16cm
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Question 38
jamb 2000

In the diagram above, if ∠RPS = 50o, ∠RPQ = 30o and PQ = QR, find the value of ∠PRS.

A80o
B70o
C60o
D50o
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Question 39
jamb 2000

Evaluate 5-\(^{3log_52}\) x 2\(^{2log_23}\)

A8
B11/8
C2/5
D1/8
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Question 40
jamb 2000

The expression ax\(^2\) + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, and c, respectively?

A1, 3, 1
B1, 2, 1
C2, 1, 1
D1, 1, 3
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