Mathematics 1979 JAMB Past Questions

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In the figure, PQ is parallel to SQ ; QS bisets < PSQ, < PQS is 65^o and < RPS is 20^o. What is the size of < PRS?

A. 45^o
B. 35^o
C. 40^o
D. 30^o
E. 42^o

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(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k2sq. units what is the area of the shades portion?

A. \(\frac{5}{9}\)k² sq. units
B. \(\frac{1}{3}\)k² sq. units
C. \(\frac{8}{9}\)k² sq. units
D. \(\frac{7}{9}\)k² sq. units
E. \(\frac{2}{3}\)k² sq. u

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In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

A. 60cm²
B. 65cm²
C. 72cm²
D. 132cm²
E. 156cm²

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PQ is parallel to RS. Calculate the value of x.

A. 20^o
B. 40^o
C. 60^o
D. 80^o
E. 100^o

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Find x in the diagram below.

A. 3\(\sqrt{3}\)
B. \(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
C. \(\frac{(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
D. \(\frac{3 - 1}{\sqrt{3} + 1}\)

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