Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 1361
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 1362
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 1363
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 1364
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 1365
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 1366
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 1367
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 1368
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 1369
jamb 2001

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

A4a
B1/8a
C8a
D1/4a
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Question 1370
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 1371
waec 2000

If the simple interest on N2000 after 9 months is N60, at what rate per annum is the interest charged?

A\(2\frac{1}{4}\)%
B4%
C5%
D6%
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Question 1372
waec 2000

Solve the equation 3 + 5x - 2x\(^2\) = 0

A\(-\frac{1}{2},-3\)
B2, 3
C-2, 3
D\(-\frac{1}{2},3\)
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Question 1373
waec 2000

Find the volume (in cm\(^3\)) of the solid shown above

A100cm3
B150cm3
C175cm3
D250cm3
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Question 1374
waec 2000

The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]

A22cm
B14cm
C7cm
D6cm
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Question 1375
waec 2000

In the diagram, |PQ| = |PS| Which of the following statements is true?

A∠QPS = QRS
B|PO| = |RO|
CQR||PS
D∠PQR=∠PSR
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Question 1376
waec 2000

The arc of a circle 50 cm long, subtends angle of 75° at the center of the circle. Find correct to 3 significant figures, the radius of the circle. Take \(\pi = \frac{22}{7}\)

A8.74cm
B38.2cm
C61.2cm
D76.4cm
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Question 1377
waec 2000

The length of the parallel sides of a trapezium are 5cm and 7cm. If its area is 120cm\(^2\), find the perpendicular distance between the parallel sides

A5.0cm
B6.9cm
C10.0cm
D20.0cm
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Question 1378
waec 2000

A tap leaks at the rate of 2cm\(^3\) per seconds. How long will it take the tap to fill a container of 45 liters capacity? (1 liters = 1000cm\(^3\))

A8 hours
B6hr 15min
C4hr 25min
D3hr
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Question 1379
waec 2000

The height of a pyramid on square base is 15cm. if the volume is 80cm^3, find the area of the square base.

A8cm2
B9.6cm2
C16cm2
D25cm2
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Question 1380
waec 2000

A bicycle wheel of radius 42cm is rolled over a distance 66 meters. How many revolutions does it make?[Take \(\pi = \frac{22}{7}\)]

A2.5
B5
C25
D50
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