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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 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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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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Question 15

jamb 2006

A binary operation \(\oplus\) defined on the set of real number is such that x\(\oplus\)y = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6

A¹/₁₂

B¹⁰/₃

C¹/₂₀

D⁹/₅

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Question 16

jamb 2006

The solution set of the shaded area above is

Ay ≥ 0, y ≥ x and y + x ≤ 4

By ≤ x, y + x ≤ 4

Cy + x ≥ 4, y ≤ x

Dy ≤ x, y + x ≤ 4 and y ≥ 0

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Question 17

jamb 2006

In the diagram above, PQ = 10 cm, PS = 8 cm and ∠PSR is 60^o while ∠SRQ is a right angle. Find SR

A14 cm

B14√3 cm

C10 cm

D10√3 cm

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Question 18

jamb 2006

If the locus of the points which are equidistant from point P and Q meets line PQ at point N, then PN equals

ANQ

B¹/₄NQ

C2NQ

D¹/₂NQ

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Question 19

jamb 2006

PQRSTW is a regular hexagon and QS intersects RT at V. Calculate ∠TVS

A120^o

B90^o

C30^o

D60^o

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Question 20

jamb 2006

What is the locus of points equidistant from the lines ax + by + c = 0?

AA line bx - ay +q = 0

BA line ax - by +q = 0

CA line bx + ay +q = 0

DA line ax + by +q = 0

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