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Mathematics Past Questions

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

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96 questions

Question 1 of 20 96 total questions

Question 21

waec 2006

P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is

Aa straight line joining A and P

Bthe perpendicular bisector of AP

Ca circle with centre A

Dthe triangle with centre P

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Question 22

waec 2006

Given that y = 1 - \(\frac{2x}{4x - 3}\), find the value of x for which y is undefined

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

C\(\frac{-3}{4}\)

D-3

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Question 23

waec 2006

Simplify \(\frac{x - 4}{4} - \frac{x - 3}{6}\)

A\(\frac{x - 18}{12}\)

B\(\frac{x - 6}{12}\)

C\(\frac{x - 18}{24}\)

D\(\frac{x - 6}{24}\)

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Question 24

waec 2006

Simplify \(\frac{25 ^\frac{2}{3} \div 25 ^\frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}\)

A25

B\(\frac{1}{5}\)

D\(\frac{1}{25}\)

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Question 25

waec 2006

Simplify: 11011\(_2\) - 1101\(_2\)

A101000\(_2\)

B1100\(_2\)

C1110\(_2\)

D1011\(_2\)

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Question 26

waec 2006

Evaluate (0.13)\(^3\)correct to three significant figures

A0.00219

B0.00220

C0.00300

D0.00390

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Question 27

jamb 2006

If \(E \subseteq G \subseteq U\), where U is the universal set, then the shaded venn diagram representing \(U - E\) or \(E^{c}\) is

BII

CIII

DIV

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Question 28

jamb 2006

The response of 160 pupils in a school asked to indicate their favourite subjects is given in the bar chart above. What percentage of the pupils have English and Health education as the their favourite subjects?

A55%

B52%

C36%

D22%

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Question 29

jamb 2006

Find the roots of x\(^3\) - 2x\(^2\) - 5x + 6 = 0

A1, -2, 3

B1, 2, -3,

C-1, -2, 3

D-1, 2, -3

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Question 30

jamb 2006

If x = \(\begin{pmatrix} 1 & 0 & 1 \\ 2 & -1 & 0 \\ -1 & 0 & 1\end{pmatrix}\) and y = \(\begin{pmatrix} -1 & 1 & 2 \\ 0 & -1 & -1 \\ 2 & -1 & 1\end{pmatrix}\)
find 2x - y

A\(\begin{pmatrix} 3 & -1 & 0 \\ 4 & -3 & -1 \\ -4 & 1 & 1\end{pmatrix}\)

B\(\begin{pmatrix} 3 & -1 & 0 \\ 4 & -1 & 1 \\ -4 & 1 & 1\end{pmatrix}\)

C\(\begin{pmatrix} 3 & -1 & 0 \\ 4 & -3 & 1 \\ -4 & 1 & 1\end{pmatrix}\)

D\(\begin{pmatrix} 3 & -1 & 0 \\ 4 & 1 & 1 \\ -4 & -1 & 1\end{pmatrix}\)

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Question 31

jamb 2006

Find p, q for which \(\begin{pmatrix} 2p & 8 \\ 3 & -5q \end{pmatrix}\)\(\begin{pmatrix} 1 \\ 2\end{pmatrix}\) = \(\begin{pmatrix}24 \\ -17\end{pmatrix}\)

A-4

B45

C4,2

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Question 32

jamb 2006

How many terms of the series 3, -6, +12, - 24, + ..... are needed to make a total of 1 - 2\(^8\)?

A12

B10

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Question 33

jamb 2006

If y = x\(^2\) - x - 12, find the range of values of x for which y \( \geq \) 0

Ax < -3 0r x > 4

Bx \( \leq \) -3 or x \( \geq \) 4

C-3 < x \( \geq \) 4

D-3 \( \leq \) x \( \leq \) 4

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Question 34

jamb 2006

If \(T = 2\pi \sqrt{\frac{l}{g}}\), make g the subject of the formula

A(4π l²) / T

B(4π²l) / T²

C(4π²l²) / T²

D(2π√l) / T

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Question 35

jamb 2006

The sum of the first n positive integers is

A¹/₂ n(n-1)

Bn(n+1)

Cn(n-1)

D¹/₂ n(n+1)

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Question 36

jamb 2006

The cost of renovating a 6 m square room is N540. What is the cost of renovating a 9 m square room?

AN1215

BN720

CN1620

DN810

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Question 37

jamb 2006

Solve the inequalities for which \(\frac{x+4}{3}-\frac{x-3}{2} < 4\)

Ax < 7

Bx > -7

Cx < -7

Dx > 7

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Question 38

jamb 2006

Find the value of k if the expression kx³ + x² - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

A10

C-10

D-8

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Question 39

jamb 2006

A binary operation * on the set of rational numbers is defined as \(x \ast y = \frac{x^2 - y^2}{2xy}\). Find \(-5 \ast 3\)

A\(\frac{-8}{15}\)

B\(\frac{8}{15}\)

C\(\frac{17}{15}\)

D\(\frac{-17}{15}\)

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Question 40

jamb 2006

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

Ap varies directly as r³

Bp varies inversely as r⁶

Cp varies inversely as ⁶√P

Dp varies directly as r⁶

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