Mathematics Past Questions

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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 651
jamb 2001
Solve the equations
m2 + n2 = 29
m + n = 7
A(2, 3) and ( 3, 5)
B(2, 5) and (5, 2)
C(5, 2) and ( 5, 3)
D(5, 3) and (3, 5)
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Question 652
jamb 2001

If two graphs y = px\(^2\) + q and y = 2x\(^2\) -1 intersect at x = 2, find the value of p in terms q.

A\(\frac{q-8}{7}\)
B\(\frac{7-q}{4}\)
C\(\frac{8-q}{2}\)
D\(\frac{7+q}{8}\)
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Question 653
jamb 2001

Divide: \(a^{3x} - 26a^{2x} + 156a^{x} - 216\) by \(a^{2x} - 24a^{x} + 108\).

Aax - 2
Bax + 2
Cax - 8
Dax - 6
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Question 654
jamb 2001

Evaluate \(\frac{(0.14^2 \times 0.275)}{7(0.02)}\) to 3 decimal places.

A0.039
B0.385
C0.033
D0.038
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Question 655
jamb 2001
Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.
AN4,900
BN5,000
CN4,700
DN4,800
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Question 656
jamb 2001

If \(x = \frac{y}{2}\),evaluate\(\left(\frac{x^{3}}{y^{3}}+\frac{1}{2}\right) \div \left(\frac{1}{2} - \frac{x^{2}}{y^{2}}\right)\)

A5/8
B5/2
C5/32
D5/16
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Question 657
jamb 2001
A car dealer bought a second-hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?
A60%
B32%
C25%
D20%
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Question 658
jamb 2001

Given that \(p = 1 + \sqrt{2}\) and \(q = 1 - \sqrt{2}\), evaluate \(\frac{p^{2} - q^{2}}{2pq}\).

A2(2+√2)
B-2(2+√2)
C2√2
D-2√2
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Question 659
jamb 2001

Simplify \((\sqrt[3]{64a^{3}})^{-1}\)

A4a
B1/8a
C8a
D1/4a
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Question 660
jamb 2001
Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places
A20.980
B20.351
C20.981
D20.352
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Question 661
jamb 2000

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

A107\(_{8}\)
B106\(_{8}\)
C71\(_8\)
D17\(_8\)
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Question 662
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 663
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 664
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 665
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 666
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 667
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 668
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 669
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 670
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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