What is mathematics?

**NECO WAEC NCE JAMB WASSCE JUPEB**

MULTIPLE CHOICE QUESTIONS

1. Find the non-zero negative value of x which satisfies the equation

A. 2

B. -2

C. 2

D. − 2

2. ,

1 4 0

4 1 0

2 3 3⎥

If Z = find determinant of Z.

A. 35

B. 45

C. -35

D. 48

3. Compute 1 + #

$%&

‘

.

A. )*

‘ − $-

‘

�

B. 4 − $-

‘

�

C. $0

‘ − $-

‘

�

D. 4

0

0 1

1 1

1 0

=

x

x

x

4. Find the centre and radius of the circle 8×2

+8y2

-24x-40y+18=0.

A. (3/2, 5/2) and r = 3/2

B. (-3/2, 5/2) and r = 5/2

C. (3/2, -5/2) and r = 3/2

D. (3/2, 5/2) and r = 5/2

5. Find the equation of the tangent to the circle 2 2 30 2 2

x + y = at the point (−3,6).

A. x + y – 15=0

B. x – 2y + 5=0

C. x + 2y – 5=0

D. x – 2y+15=0

6. Given the equations of the ellipse x2

/2+y2

=1. Find the equation of the directrices.

A. � = (0, ±1)

B. � = (0, ±2)

C. � = (0, ±3)

D. � = (0,±4)

7. Find the gradient of the curve � = �# − 6�’ + 11� − 6 at the point (1, 0)

A. -1

B. -2

C. 1

D. 2

8. Given sets � = �, �, 1, 3 and � = �, 2, 4 , find � ∪ �.

A. ∅

B. �, �, 1,2,3,4

C. �, �, 1,3

D. �, 1,2,3,4

9. Let P be the set of prime factors of 42 and Q be the set of prime factors of 45. Find � ∩ �.

A. 2

B. 3

C. 7

D. 5

10. A polynomial 2�# + ��’ + �� − 1 has a factor (� − 1) and the remainder when it is divided

by (� − 2) is −4. Find � + �.

A. −1

B. 1

C. −2

D. 2

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