JAMB Mathematics 2009 Past Questions

Substract 16418₉ from 18630₉

If 55_x + 52_x = 77₁₀ find X

Simplify \(7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}\)

Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures.

A man bought a second-hand photocopying machine for N34,000. He serviced is at a cost od N2,000 and then sold it i profit of 15%. What was the selling price?

A student spent ¹/₅of his allowance on books, ¹/₂ of remainder on food and kept the rest for contingencies. What fraction was kept?

Solve 5^2(x-1) x 5^(x-1) = 0.04

If log₁₀2 = 0.3010 and log₁₀7 = 0.8451, evaluate log₁₀280

Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\)

If x = {n²+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5},
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, find x \(\cap\) y.

I.S∩T∩W=S II. S∪T∪W=S
III. T∩W=S
If S⊂T⊂W, which of the above statements are true?

If \(P=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t

A polynomial in x whose roots are ⁴/₃ and -³/₅ is

Which of the following equations represent the graph above?

W is directly proportional to U. If w = 5 when U = 3, find when W = ²/₇

Determine the value of x for which (x² - 1) > 0

Find the range of values of x for which 3x - 7 \(\leq\) 0 and x + 5 > 0

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is

Find to infinity, the sum of the sequence \(1, \frac{9}{10}, \left(\frac{9}{10}\right)^2, \left(\frac{9}{10}\right)^3,.....\)

If m * n = n - (m+2) for any real number m and n find he value of 3*(-5)

A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0

If Q is\( \left[ \begin{array}{cc}
9 & -2 \\
-7 & 4 \\
\end{array} \right]\) , then |Q| is

If P \(=\left[\begin{array}{cc}x+3 & x+2\\
x+1 & x-1\end{array}\right]\) evaluate x if |P| = -10

Find the acute angle between the straight lines y = x and y = √3x

A regular polygon has 150^o as the size of each interior angle. How many sides does it have?

In the figure above , Ts//xy and XY = TY, ∠SYZ = 34^o, ∠TXY = 47^o, find the angle marked n

If the hypotenuse of a right angle-triangle isosceles triangle is 2cm. What is the area of the triangle?

A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord

Find the radius of a sphere whose surface area is 154 cm²

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)

What is the locus or the mid-point of all the chords of length 6cm with circle of radius 5cm and with center 0?

What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is

2

3

?

What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?

If y = 3 cos 4x, dy/dx equals

Find the value of sin 45^o - cos 30^o

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60^o, find the width of the river.

If s = (2 + 3t)(5t - 4), find ^s/_dt when t = ⁴/₅ secs

What value of s will make the function x(4-x) a maximum

The distance travelled by a particle from a fixed point is given as s = (t³ - t² - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point.

Evaluate ∫sec²θ dθ

No. of Days	1	2	3	4	5	6
No. of students	20	2x	60	40	x	50

The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for t least four days in the term

The pie chart above represents 400 fruits on display n a grocery store. How many apples are in the store

The probability of a student passing any examination is ²/₃. If the students takes three examination, what is the probability that he will not pass any of them

5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively an d have a mean of 5.7. Find the value of k

What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?

In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?

In how many ways can 9 people be seated if 3 chairs are available

Subtract 16418₉ from 18630₉

If 55_x + 52_x = 77₁₀, find x.