ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 266:

• JAMB 1991

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

A. \(\frac{(p + q)}{pw + qu}\)
B. \(\frac{uw(p + q)}{pw + qu}\)
C. \(\frac{uw(p + q)}{pw}\)
D. \(\frac{uw}{pw + qu}\)

Question 267:

• JAMB 1991

If w varies inversely as \(\frac{ur}{u + r}\) and is equal to 8 when
u = 2 and r = 6, find a relationship between u, v, w.

A. Urw = 16(u + v)
B. 16ur = 3w(u + v)
C. Urw = 12(u + v)
D. 12urw = u + v

Question 268:

• JAMB 1991

If g(x) = x² + 3x + 4, find g(x + 1) - g(x)

A. (x + 2)
B. 2(x + 2)
C. (2x + 1)
D. (x² + 4)

Question 269:

• JAMB 1991

Factorize m³ - 2m² - m + 2

A. (m² + 1)(m - 2)
B. (m - 1)(m + 1)(m + 2)
C. (m - 2)(m + 1)(m - 1)
D. (m² + 2)(m - 1)

Question 270:

• JAMB 1991

Factorize 1 - (a - b)²

A. (1 - a - b)(1 - a + b)
B. (1 + a - b)(1 - a + b)
C. (1 - a + b)(1 - a + b)
D. (1 + a + b)(1 + a + b)