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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 2051

jamb 1984

A straight line y = mx meets the curve y = x2 - 12x + 40 in two distinct points. If one of them is (5, 5) find the other

A(5, 6)

B(8, 8)

C(8, 5)

D(7,7)

E(7, 5)

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Question 2052

jamb 1984

Factorize 6x2 - 14x - 12

A2(x + 3)(3x - 2)

B6(x - 2)(x + 1)

C2(x - 3)(3x + 2)

D6(x + 2)(x - 1)

E(3x - 4)(2x + 3)

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Question 2053

jamb 1984

p varies directly as the square of q and inversely as r. If p = 36, when q = 3, when r = 4, find p when q = 5 and r = 2.

A72

B100

C90

D200

E125

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Question 2054

jamb 1984

Simplify \(\frac{3^n - 3^{n - 1}}{3^3 \times 3^n - 27 \times 3^{n - 1}}\)

C\(\frac{1}{27}\)

D\(\frac{4}{3}\)

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Question 2055

jamb 1984

Rationalize \(\frac{5\sqrt{7} - 7\sqrt{5}}{\sqrt{7} - \sqrt{5}}\)

A-2 \(\sqrt{35}\)

B4\(\sqrt{7}\) - 6\(\sqrt{5}\)

C-\(\sqrt{35}\)

D4\(\sqrt{7}\) - 8\(\sqrt{5}\)

E\(\sqrt{35}\)

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Question 2056

jamb 1984

A trader in country where their currency 'MONI'(M) is in base five bought 103₅ oranges at M14₅ each. If he sold the oranges at M24₅ each, what will be his gain?

A103₅

B1030₅

C102₅

D2002₅

E3032₅

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Question 2057

jamb 1984

A variable point p(x, y) traces a graph in a two-dimensional plane. (0, 3) is one position of P. If x increases by 1 unit, y increases by 4 units. The equation of the graph is

A-3 = \(\frac{y + 4}{x + 1}\)

B4y = -3 + x

C\(\frac{y}{x}\) = \(\frac{-3}{4}\)

D4x = y + 3

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Question 2058

jamb 1984

Find, without using logarithm tables, the value of \(\frac{log_3 27 - log_{\frac{1}{4}} 64}{log_3 \frac{1}{81}}\)

A\(\frac{-3}{9}\)

B\(\frac{-3}{2}\)

C\(\frac{6}{11}\)

D\(\frac{43}{78}\)

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Question 2059

jamb 1984

Bola choose at random a number between 1 and 300. What is the probability that the number is divisible by 4?

A\(\frac{1}{4}\)

B\(\frac{4}{4}\)

C\(\frac{6}{4}\)

D\(\frac{7}{4}\)

E\(\frac{37}{149}\)

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Question 2060

jamb 1984

The cost of production of an article is made up as follows: Labour N70, Power N15, Materials N30, Miscellaneous N5. Find the angle of the sector representing Labour in a pie chart

A210^o

B105^o

C105^o

D175^o

E90^o

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Question 2061

jamb 1984

Thirty boys and x girls sat for a test. The mean of the boys' scores and that of the girls were respectively 6 and 8. Find x if the total scores was 468

A38

B24

C36

D22

E41

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Question 2062

jamb 1984

A man invested a total of N50000 in two companies. If these companies pay dividends of 6% and 8% respectively, how much did he invest at 8% if the total yield is N3700?

AN15 000

BN29 600

CN27 800

DN21 400

EN35 000

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Question 2063

jamb 1984

If the price of oranges was raised by \(\frac{1}{2}\)k per orange. The number of oranges a customer can buy for N2.40 will be less by 16. What is the present price of an orange?

A2\(\frac{1}{2}\)

B\(\frac{2}{15}\)

C5\(\frac{1}{3}\)

D20

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Question 2064

jamb 1984

P sold his bicycle to Q at a profit of 10%. Q sold it to R for N209 at a loss of 5%. How much did the bicycle cost P?

AN200

BN196

CN180

DN205

EN150

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Question 2065

jamb 1984

\(\frac{0.0001432}{1940000}\) = k x 10ⁿ where 1 \(\leq\) k < 10 and n is a whole number. The values K and n are

A7.381 qnd -11

B2.34 and 10

C3.871 and 2

D7.831 and -11

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Question 2066

jamb 1984

Simplify \(\frac{(\frac{2}{3} - \frac{1}{5}) - \frac{1}{3} \text{of} \frac{2}{5}}{3 - \frac{1}{1 \frac{1}{2}}}\)

A\(\frac{1}{7}\)

C\(\frac{1}{3}\)

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Question 2067

jamb 1983

In the figure PT is a tangent to the circle with centre at O. If PQT = 30o, find the value of PTO

A30^o

B50^o

C24^o

D12^o

E60^o

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Question 2068

jamb 1983

In the diagram, if PS = SR and PQ||SQ, what is the size of PQR?

A25^o

B50^o

C55^o

D65^o

E75^o

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Question 2069

jamb 1983

In the figure, PQR is a straight line. Find the values of x and y

Ax = 22.5^o, y = 33.75^o

Bx = 15^o, y = 52.5^o

Cx = 22.5^o, y = 45.0^o

Dx = 56.25^o, y = 11.5^o

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Question 2070

jamb 1983

The farm yield of four crops on a piece of land in Ondo are represented on the pie chart. what is the angle of the sector occupies by Okro in the chart?

A11^o

B19\(\frac{1}{3}\)^o

C33\(\frac{1}{3}\)^o

D91\(\frac{1}{3}\)^o

E91^o

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