JAMB Mathematics Past Questions & Answers - Page 168

836.

Find the product of (2\(\sqrt{y - 3y}\)) and (3y = 2y)

A.

4y = y2

B.

4y + 9y2

C.

4y - 9y2

D.

-4y - 9y2

E.

2y + y2

Correct answer is C

(2\(\sqrt{y - 3y}\))(3y = 2y)

= 6y y + 4y - 9y2 - 6y\(\sqrt{y}\)

= 4y - 9y2

837.

A pentagon has four of its angles equal. If the size of the fifth angle is 60o, Find the size of each of the four equal angles.

A.

60o

B.

108o

C.

120o

D.

150o

E.

None of the above

Correct answer is C

The sum of interior angle of pentagon

(5 sides) = (2n - 4) x 90o

n = 5

(2 x 5 - 4) x 90o = 6 x 90o

= 540o

540o - 60o = 480o \(\div\) 4

= 120o

838.

In triangle FGB, < G = 90o, < H = 60o, while in triangle XYZ, < X = 60o and < Y = 30o. Form XYZ write down the ratio equal to \(\frac{FG}{FH}\)

A.

\(\frac{YX}{ZX}\)

B.

\(\frac{YX}{YZ}\)

C.

\(\frac{ZX}{YZ}\)

D.

\(\frac{YZ}{XY}\)

Correct answer is D

The two triangles are similar

\(\frac{FG}{YZ}\) = \(\frac{FH}{XY}\) = \(\frac{GH}{YZ}\) = \(\frac{FG}{FH}\) = \(\frac{YZ}{XZ}\)