1989 JAMB UTME Mathematics Past Questions

1989

In a class of 30 students, the marks scored in an examination are displayed in the histogram. What percentage of the student scored more than 40%?

1989

If PST is a straight line and PQ = QS = SR in the diagram, find y.

1989

In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR:PR?

1989

On the curve, the points at which the gradient of the curve is equal to zero are

1989

If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is

1989

In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather?

1989

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart

1989

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

1989

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2?

1989

4sin2 x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90o

1989

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35o and 55o. Find the distance between the two points of observation

1989

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle

1989

In xyz, y = z = 30o ans XZ = 3cm. Find YZ

1989

PQRS is a rhombus. If PR2 + QS2 = KPQ2, determine k

1989

A rectangular polygon of (2k + 1) sides has 140o as the size of each interior angle. Find k

1989

If -8, m, n, 19 are in arithmetic progression, find (m, n)

1989

The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is

1989

Simplify \(\frac{x(x + 1)^{\frac{1}{2}} - (x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}}\)

1989

Express \(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) as a single algebraic fraction

1989

find the range of values of values of r which satisfies the following inequality, where a, b and c are positive \(\frac{r}{a}\) + \(\frac{r}{b}\) + \(\frac{r}{c}\) > 1

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1989 JAMB UTME Mathematics Past Questions

In a class of 30 students, the marks scored in an examination are displayed in the histogram. What percentage of the student scored more than 40%?

If PST is a straight line and PQ = QS = SR in the diagram, find y.

In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR:PR?

On the curve, the points at which the gradient of the curve is equal to zero are

If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is

In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather?

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2?

4sin2 x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90o

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35o and 55o. Find the distance between the two points of observation

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle

In xyz, y = z = 30o ans XZ = 3cm. Find YZ

PQRS is a rhombus. If PR2 + QS2 = KPQ2, determine k

A rectangular polygon of (2k + 1) sides has 140o as the size of each interior angle. Find k

If -8, m, n, 19 are in arithmetic progression, find (m, n)

The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is

Simplify \(\frac{x(x + 1)^{\frac{1}{2}} - (x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}}\)

Express \(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) as a single algebraic fraction

find the range of values of values of r which satisfies the following inequality, where a, b and c are positive \(\frac{r}{a}\) + \(\frac{r}{b}\) + \(\frac{r}{c}\) &gt; 1

find the range of values of values of r which satisfies the following inequality, where a, b and c are positive \(\frac{r}{a}\) + \(\frac{r}{b}\) + \(\frac{r}{c}\) > 1