2003 JAMB UTME Mathematics Past Questions

2003

The histogram above shows the ages of the victims of a pollution. How many people were involved in the pollution?

2003

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively.

2003

In the diagram above, PQR is a straight line and PS is a tangent to the circle QRS with /PS/ = /SR/ and ∠SPR = 40\(^{\circ}\). Find ∠PSQ

2003

XYZ is a circle enter o and a radius 7cm. Find the area of the shaded region. θ = 45 x 2 = 90

2003

In the diagram above, PQ is parallel to RS. What is the value of α + β + γ?

2003

Find the equation of the locus of a point P(x,y) which is equidistant from Q(0,0) and R(2,1).

2003

An arc of a circle subtends an angle of 30\(^{\circ}\) on the circumference of a circle of radius 21cm. Find the length of the arc.

2003

An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R

2003

Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\) 3x and 3x - 4 \(\leq\) 4x

2003

The result of tossing a fair die 120 times is summarized above. Find the value of x

2003

A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked?

2003

Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women

2003

If nP3 - 6(nC4) = 0, find the value of n

2003

On the pie chart, there are four sectors of which three angles are 45\(^{\circ}\), 90\(^{\circ}\) and 135\(^{\circ}\). If the smallest sector represents N28.00, how much is the largest sector?

2003

Find the mean of the distribution above

2003

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24,21 and 16 is

2003

BY how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?

2003

Determine the maximum value of y = 3x2 - x3

2003

If y = 3 sin(-4x), dy/dx is

2003

Evaluate \(\int^{2} _{3}(x^2 - 2x)dx\)

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