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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

Question 1 of 20 4,407 total questions

Question 981

jamb 2007

Find the value of \(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}\)

A\(\frac{4}{\sqrt{3}}\)

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

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

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Question 982

jamb 2007

Find the size of each exterior angle of a regular octagon

A51^o

B45^o

C40^o

D36^o

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Question 983

jamb 2007

What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

A-3

B-1

C-4

D-2

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Question 984

jamb 2007

Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0

Ay - 2 = 0

By - 4 = 0

Cy - 1 = 0

Dy - 3 = 0

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Question 985

jamb 2007

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30º. Determine the height of the tower.

A\(\frac{40\sqrt{3}}{3}m\)

B20 m

C40√3 m

D40 m

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Question 986

jamb 2007

If the lines 2y - kx + 2 = 0 and y + x - ^k/₂ = 0 Intersect at (1, -2), find the value of k

A-4

B-3

C-2

D-1

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Question 987

jamb 2007

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus of P

AIt is a semi circle with ST as diameter

BIt is a perpendicular bisector of St

CIt is a quadrant of a circle with ST as diameter

DIt is a straight line perpendicular to ST

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Question 988

jamb 2007

The volume of a hemispherical bowl is \(718\frac{2}{3}\). Find its radius .

A4.0 cm

B5.6 cm

C7.0 cm

D3.8 cm

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Question 989

jamb 2007

In the parallelogram PQRS above, find angle SQR

A100^o

B80^o

C50^o

D30^o

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Question 990

jamb 2007

If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is

A-⁴/₃

B-³/₄

C⁴/₃

D³/₄

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Question 991

jamb 2007

Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90o at the center of the circle

A\(\frac{7π}{2}\) cm

B7π cm

C14π cm

D\(\frac{7π}{4}\) cm

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Question 992

jamb 2007

If X = {all the perfect squares less than 40}
Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

A{3, 9}

B{9}

C{9, 25}

D{1, 9}

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Question 993

jamb 2007

Evaluate 1011²₂ - 101²₂

A110000₂

B110₂

C1100000₂

D11000₂

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Question 994

jamb 2007

Given
P = {1, 3, 5, 7, 9, 11}
and Q = {2, 4, 6, 8, 10, 12}. Determine the relationship between P and Q

AP∩Q = ∅

BP ⊂ Q

CQ⊂P

DP = Q

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Question 995

jamb 2007

A man made a profit of 5% when he sold an article for N60,000.00. How much would he have sell the article to make a profit of 26%

AN68,000

BN72,000

CN65,000

DN70,000

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Question 996

jamb 2007

If log₁₀2 = x, express log₁₀12.5 in terms of x

A2(1 + x)

B2 + 3x

C2(1 - x)

D2 - 3x

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Question 997

jamb 2007

Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\)

A\(\frac{4}{5}\)

B\(\frac{7}{10}\)

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

D\(\frac{21}{6}\)

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Question 998

jamb 2007

Find the value of x for which 2(3^2x-1) = 162

A⁵/₂

B³/₂

C²/₅

D¹/₂

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Question 999

jamb 2007

Evaluate \(\frac{(0.5625)^2 - (0.4375)^2}{0.04}\) correct to three significant figures

A3.11

B3.13

C0.313

D3.12

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Question 1000

jamb 2007

If x₁₀ = 1214₅ find x

A124

B121

C184

D180

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