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Mathematics Past Questions

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50 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

50 questions

Question 1 of 20 50 total questions

Question 1

jamb 2007

If f(x) = 3x - 2I, P = \(\begin{pmatrix}2 & 1 \\-1 & 0 \end{pmatrix}\) and I is 2 x 2 identity matrix. Evaluate f(p)

A\(\begin{pmatrix}6 & -3 \\3 & 0 \end{pmatrix}\)

B\(\begin{pmatrix}2 & 0 \\0 & 2 \end{pmatrix}\)

C\(\begin{pmatrix}8 & 3 \\-3 & 2 \end{pmatrix}\)

D\(\begin{pmatrix}4 & 3 \\-3 & -2 \end{pmatrix}\)

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Question 2

jamb 2007

Evaluate \(\begin{pmatrix}3 & -2 \\-7 & 5 \end{pmatrix}\) + 2\(\begin{pmatrix}-2 & 4\\3 & -1 \end{pmatrix}\)

A\(\begin{pmatrix}-1 & 6 \\-1 & 3 \end{pmatrix}\)

B\(\begin{pmatrix}3 & 4 \\-2 & 6 \end{pmatrix}\)

C\(\begin{pmatrix}-1 & 6 \\1 & 3 \end{pmatrix}\)

D\(\begin{pmatrix}3 & 4 \\2 & 6 \end{pmatrix}\)

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Question 3

jamb 2007

The cumulative frequency for 5\(\leq\) x \(\leq\) 12 from the distribution above is

A22

B40

C46

D72

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Question 4

jamb 2007

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets N600 and Lawal N800. How old is Lawal?

A14 years

B20 years

C12 years

D16 years

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Question 5

jamb 2007

If y = (1 + x)², find \(\frac{dy}{dx}\)

Ax - 1

B2 + 2x

C1 + 2x

D2x - 1

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Question 6

jamb 2007

The area of a square is 144 sqcm. Find the length of the diagonal.

A13 cm

B12√2 cm

C12 cm

D11√3 cm

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Question 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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 15

jamb 2007

In the parallelogram PQRS above, find angle SQR

A100^o

B80^o

C50^o

D30^o

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Question 16

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 17

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 18

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 19

jamb 2007

Evaluate 1011²₂ - 101²₂

A110000₂

B110₂

C1100000₂

D11000₂

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Question 20

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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