Mathematics (Core), 2000, JAMB Exam, Exam, Paper 1 | Objectives

Paper Info

Year :

2000

Title :

Mathematics (Core)

Exam :

JAMB Exam

Paper 1 | Objectives

41 - 45 of 45 Questions

#	Question	Ans
41.	In the diagram above, EFGH is a circle center O. Fh is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH. A. 16 cm B. 20 cm C. 26 cm D. 32 cm Show Content Detailed Solution The locus of X is the perpendicular bisector of PQ	D
42.	In the diagram, If < RPS = 50^o, < RPQ = 30^o and pq = QR, Find the value of < prs A. 50^o B. 60^o C. 70^o D. 80^o Show Content Detailed Solution < QPR = < PRQ = 30^o (PQ = QR) < SPQ + < QRS = 180^o (supplementary) 80 + < QRS = 180^o = < QRS = 180^o - 80^o = 100^o < QRP + < PRS = 100^o = 30^o + < PRS = 100^o = < PRS = 100^o - 30^o = 70^o	C
43.	In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH A. 32cm B. 26cm C. 20cm D. 16cm Show Content Detailed Solution \(\bigtriangleup\)OEN = \(\bigtriangleup\)OGN OE = OG = r(radii) (r - 8)² + 12² = r² r² - 16r + 64 + 144 = r² 16r = 64 + 144 = r² 16r = 64 + 144 = 208 \(\frac{208}{16}\) = 13cm FH = 2FO = 2OH = 2R = 2 x 13cm = 26cm	B
44.	If the diagram is the graph of y = x², the shaded area is A. 64 square units B. \(\frac{126}{4}\) square units C. 32 square units D. \(\frac{64}{3}\) square units Show Content Detailed Solution A = \(\int^{x = 4}_{x = 0}\) ydx = \(\int^{4}_{0}\) x²dx = [\(\frac{x^3}{3} + c]^{4}_{0}\) = \(\frac{64}{3}\) square units	D
45.	The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs? A. 17.5 - 20.5 B. 16.5 - 19.5 C. 15.5 - 19.5 D. 15.5 - 18.5	A

41.	In the diagram above, EFGH is a circle center O. Fh is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH. A. 16 cm B. 20 cm C. 26 cm D. 32 cm Show Content Detailed Solution The locus of X is the perpendicular bisector of PQ	D
42.	In the diagram, If < RPS = 50^o, < RPQ = 30^o and pq = QR, Find the value of < prs A. 50^o B. 60^o C. 70^o D. 80^o Show Content Detailed Solution < QPR = < PRQ = 30^o (PQ = QR) < SPQ + < QRS = 180^o (supplementary) 80 + < QRS = 180^o = < QRS = 180^o - 80^o = 100^o < QRP + < PRS = 100^o = 30^o + < PRS = 100^o = < PRS = 100^o - 30^o = 70^o	C
43.	In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH A. 32cm B. 26cm C. 20cm D. 16cm Show Content Detailed Solution \(\bigtriangleup\)OEN = \(\bigtriangleup\)OGN OE = OG = r(radii) (r - 8)² + 12² = r² r² - 16r + 64 + 144 = r² 16r = 64 + 144 = r² 16r = 64 + 144 = 208 \(\frac{208}{16}\) = 13cm FH = 2FO = 2OH = 2R = 2 x 13cm = 26cm	B

44.	If the diagram is the graph of y = x², the shaded area is A. 64 square units B. \(\frac{126}{4}\) square units C. 32 square units D. \(\frac{64}{3}\) square units Show Content Detailed Solution A = \(\int^{x = 4}_{x = 0}\) ydx = \(\int^{4}_{0}\) x²dx = [\(\frac{x^3}{3} + c]^{4}_{0}\) = \(\frac{64}{3}\) square units	D
45.	The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs? A. 17.5 - 20.5 B. 16.5 - 19.5 C. 15.5 - 19.5 D. 15.5 - 18.5	A