1999 JAMB UTME Mathematics Past Questions

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1999

The table above shows the frequency distribution of the ages (in years) of pupils in a certain secondary school. What percentage of the total number of pupils is over 15 years but less than 21 years?

1999

The diagram above is the graph of y = x2, the shaded area is

1999

Find the value of l in the frustrum above

1999

In the figure above, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units

1999

In the diagram above, EFGH is a cyclic quadrilateral in which EH//FG, EG and FH are chords. If ∠FHG = 42\(^{\circ}\) and ∠EFH = 34\(^{\circ}\), calculate ∠HEG

1999

In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.

1999

Find the length XY in the triangle above.

1999

The shaded portion in the graph above is represented by

1999

The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?

1999

From a point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR

1999

Find the tangent to the acute angle between the lines 2x+y = 3 and 3x-2y = 5.

1999

In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.

1999

A man 1.7m tall observes a bird on top of a tree at an angle of 300. if the distance between the man's head and the bird is 25m, what is the height of the tree?

1999

Find a positive value of ã if the coordinate of the centre of a circle X2+y2-2ãx+4y-ã = 0 is (ã,-2) and the radius is 4 units.

1999

Divide 4x3-3x+1 by 2x-1

1999

The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

1999

Express \(\frac{1}{X^{3}-1}\) in partial fractions

1999

Three consecutive positive integers k, l and m are such that l2 = 3(k+m). Find the value of m

1999

Factorize completely x2+2xy + y2+3x + 3y - 18

1999

A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.

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