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Mathematics Past Questions

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.

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

98 questions
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Question 1 of 18 98 total questions
Question 41
jamb 1991
Factorize 1 - (a - b)2
A(1 - a - b)(1 - a + b)
B(1 + a - b)(1 - a + b)
C(1 - a + b)(1 - a + b)
D(1 + a + b)(1 + a + b)
View Explanation & Discuss
Question 42
jamb 1991

Factorize \(m^3 - 2m^2\) - m + 2

A(m2 + 1)(m - 2)
B(m - 1)(m + 1)(m + 2)
C(m - 2)(m + 1)(m - 1)
D(m2 + 2)(m - 1)
View Explanation & Discuss
Question 43
jamb 1991
If g(x) = x2 + 3x + 4, find g(x + 1) - g(x)
A(x + 2)
B2(x + 2)
C(2x + 1)
D(x2 + 4)
View Explanation & Discuss
Question 44
jamb 1991

If w varies inversely as \(\frac{uv}{u + v}\) and is equal to 8 when

u = 2 and v = 6, find a relationship between u, v, w.

Auvw = 16(u + v)
B16ur = 3w(u + v)
Cuvw = 12(u + v)
D12uvw = u + v
View Explanation & Discuss
Question 45
jamb 1991

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

A\(\frac{(p + q)}{pw + qu}\)
B\(\frac{uw(p + q)}{pw + qu}\)
C\(\frac{uw(p + q)}{pw}\)
D\(\frac{uw}{pw + qu}\)
View Explanation & Discuss
Question 46
jamb 1991

Evaluate \(\frac{xy^2 - x^2y}{x^2 - xy}\) When x = -2 and y = 3

A3
B-\(\frac{3}{5}\)
C\(\frac{3}{5}\)
D-3
View Explanation & Discuss
Question 47
jamb 1991
Multiply (x2 - 3x + 1) by (x - a)
Ax3 - (3 + a) x2 + (1 + 3a)x - a
Bx3 - (3 - a)x2 + 3ax - a
Cx3 - (3 - a)x2 - (1 = 3a) - a
Dx3 + (3 - a)x2 + (1 + 3a) - a
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Question 48
jamb 1991
Rationalize \(\frac{2\sqrt{3} + 3 \sqrt{2}}{3\sqrt{2} - 2 \sqrt{3}}\)
A5 - 2\(\sqrt{6}\)
B5 + 2\(\sqrt{6}\)
C5\(\sqrt{6}\)
D5
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Question 49
jamb 1991

Simplify \(\frac{1}{1 + \sqrt{5}}\) - \(\frac{1}{1 - \sqrt{5}}\)

A- \(\frac{1}{2}\sqrt{5}\)
B\(\frac{1}{2}\sqrt{5}\)
C-- \(\frac{1}{4}\sqrt{5}\)
D5
View Explanation & Discuss
Question 50
jamb 1991
Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9
A1 - 4 log3
B-1 + 2 log 3
C-1 + 5 log2
D1 - 2log 2
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Question 51
jamb 1991

What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?

A5
B3
C1
D\(\frac{1}{25}\)
View Explanation & Discuss
Question 52
jamb 1991
If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?
A2\(\frac{4}{5}\)%
B16\(\frac{7}{8}\)%
C18\(\frac{1}{8}\)%
D18\(\frac{7}{8}\)%
View Explanation & Discuss
Question 53
jamb 1991

Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?

AN10.80
BN10.67
CN2.80
DN2.67
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Question 54
jamb 1991
Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%, determine the effective loss in the number of bags produced per day by the two factories
A250
B750
C1000
D1250
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Question 55
jamb 1991
express 62 \(\div\) 3 as a decimal correct to 3 significant figures
A20.6
B20.667
C20.67
D20.7
View Explanation & Discuss
Question 56
jamb 1991

Find correct to 3 decimal places (\(\frac{1}{0.05} \div\frac{1}{5.005}\)) - (0.05 x 2.05)

A99.998
B98.999
C89.899
D9.998
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Question 57
jamb 1991

If 2257 is the result of subtracting 4577 from 7056 in base n, find n

A8
B9
C10
D11
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Question 58
jamb 1991
Simplify 3\(\frac{1}{3}\) - 1\(\frac{1}{4}\) x \(\frac{2}{3}\) + 1\(\frac{2}{5}\)
A2
B3
C4
D5
View Explanation & Discuss
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