### Mathematics Past Questions

46

A trader realizes 10x - x$$^2$$ naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

• A. 4
• B. 5
• C. 6
• D. 7
JAMB 2000
47

Solve the inequality 2 - x > x$$^2$$.

• A. x < -2 or x > 1
• B. x > 2 or x< -1
• C. -1 < x < 2
• D. -2 < x < 1
JAMB 2000
48

If α and β are the roots of the equation 3x$$^2$$ + 5x - 2 = 0, find the value of 1/α + 1/β

• A. -5/3
• B. -2/3
• C. 1/2
• D. 5/2
JAMB 2000
49

A frustrum of pyramid with square base has its upper and lower sections as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustrum was obtained.

• A. 8.0 m
• B. 8.4 m
• C. 9.0 m
• D. 10.0 m
JAMB 2000
50
P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST.
• A. 310°
• B. 130°
• C. 80°
• D. 50°
JAMB 2000