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Mathematics Past Questions

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

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117 questions

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Question 31

waec 2007

Simplify\(\frac{3x^{3}}{(3x)^{3}}\)

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

C\(\frac{1}{9}\)

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

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Question 32

waec 2007

Which of the following is true for the set \(P = \{-3.2\leq x< 5\}\) where x is an integer

Aleast value of x is -3.2

Bleast value of x is -3

Cgreatest value of x is 4.9

Dgreatest value of x is 5

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Question 33

waec 2007

Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form

A\(29\sqrt{5}\)

B\(14\sqrt{15}\)

C\(12\sqrt{15}\)

D\(11\sqrt{5}\)

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Question 34

waec 2007

If \(p\propto \frac{1}{q}\), which of the following is true?

A\(\propto p^{2}\)

B\(p\propto \frac{1}{q^{2}}\)

C\(q\propto \sqrt{p}\)

D\(q\propto \frac{1}{p}\)

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Question 35

waec 2007

Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form

A\(7.5\times 10^{-4}\)

B\(7.5\times 10^{-3}\)

C\(7.5\times 10^{-2}\)

D\(7.5\times 10^{-1}\)

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Question 36

waec 2007

Find the LCM of \(2^{3}\times 3\times 5^{2}, 2\times 3^{2}\times 5 \hspace{1mm}and \hspace{1mm}2^{2}\times 3^{2}\times 5\)

A\(2^{2}\times 3^{3}\times 5^{2}\)

B\(2^{3}\times 3^{23}\times 5\)

C\(2^{2}\times 3^{2}\times 5^{2}\)

D\(2^{3}\times 3^{3}\times 5^{2}\)

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Question 37

waec 2007

Evaluate \((111_{two})^2\) and leave your answer in base 2

A\(111001_{two}\)

B\(110001_{two}\)

C\(101001_{two}\)

D\(10010_{two}\)

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Question 38

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 39

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 40

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 41

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 42

jamb 2007

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

Ax - 1

B2 + 2x

C1 + 2x

D2x - 1

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Question 43

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 44

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 45

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 46

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 47

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 48

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 49

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 50

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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