JAMB Mathematics 2010 Past Questions

Evaluate \(\left(\frac{81}{16}\right)^{\frac{-1}{4}}\times 2^{-1}\)

Express the product of 0.21 and 0.34 in standard form

In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian, how many read both papers?

If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64

If x * y = x + y², find then value of (2*3)*5

If p and q are two non zero numbers and 18(p+q) = 918+p)q, which of the following must be true?

If \(\left[\begin{array}{cc}
x & 3\\
2 & 7\end{array}\right]\)= 15 find the value of x

From the diagram above, find x

From the cyclic quadrilateral TUVW above, find the value of x

If two smaller sides of a right angled triangle are 4cm and 5cm, find its area

An arc subtends an angle of 50^o at the center of circle of radius 6cm. Calculate the area of the sector formed

What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?

If the area of ΔPQR above is 12√3 cm², find the value of q?

If y = (2x + 1)³ find dy/dx

Find ∫(sin x + 2)dx

Marks	2	3	4	5	6	7	8
No. of students	3	1	5	2	4	2	3

from the table above, if the pass mark is 5, how many students failed the test?

Marks	1	2	3	4	5
Frequency	2	2	8	4	4

The table above show the marks obtained in a given test.
How many student too the test

Marks	1	2	3	4	5
Frequency	2	2	8	4	4

The table above show the marks obtained in a given test.
Find the mean mark

Find r, if 6r7₈ = 511₉

Simplify (\(\frac{3}{4}\) of \(\frac{4}{9}\) \(\div\) 9\(\frac{1}{2}\)) \(\div\) 1\(\frac{5}{19}\)

A student measures a piece of rope and found that it was 1.26m long. If the actual length of the rope was 1.25m, what was the percentage error in the measurement?

At what rate will the interest on N400 increases to N24 in 3 years reckoning in simple interest?

If p : q = \(\frac{2}{3}\) : \(\frac{5}{6}\) and q : r = \(\frac{3}{4}\) : \(\frac{1}{2}\), find p : q : r

Given that log 2 = 0.3010, log 7 = 0.8451. Evaluate log 112.

If x \(\ast\) y = x + y², find the value of (2 \(\ast\) 3)\(\ast\)5

If p and q are two non zero numbers and 18 (p + q) = (18 + p)q, which of the following must be true ?

The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression

Find \(\int\)(sin x + 2) dx.

At what value of X does the function y = -3 - 2x + X² attain a minimum value?

Find the equation of a line parallel to y = -4x + 2 passing through (2,3)

Make Q the subject of formula if p = \(\frac{M}{5}\)(X + Q) + 1

If 9x² + 6xy + 4y² is a factor of 27x³ - 8y³, find the other factor.

Factorize completely \(\frac{x^3 + 3x^2 - 10x}{2x^2 - 8}\)

Solve for x and y if x - y = 2 and x² - y² = 8

If y varies directly as the square root of x and y =3 when x = 16, calculate y when x = 64

If x is inversely proportional to y and x = 2\(\frac{1}{2}\) when y = 2, find x if y = 4

For what range of values of x is \(\frac{1}{2}\)x + \(\frac{1}{4}\) > \(\frac{1}{3}\)x + \(\frac{1}{2}\)?

Solve the inequalities -6 \(\leq\) 4 - 2x < 5 - x

Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

If \(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix}\) = 15, find the value of x

Evaluate \(\begin{vmatrix} 2 & 0 & 5 \\ 4 & 6 & 3 \\ 8 & 9 & 1 \end{vmatrix}\)

If P = \(\begin{pmatrix} 2 & -3 \\ 1 & 1 \end{pmatrix}\)

The interior angles of a quadrilateral are (x + 15)^o, (2x - 45)^o and (x + 10)^o. Find the value of the least interior angle.

If the two smaller sides of a right angled triangle are 4cm and 5cm, find its area.

A cylindrical pipe 50cm long with radius 7m has one end open. What is the total surface area of the pipe?

Find the distance between the points (\(\frac{1}{2}\), -\(\frac{1}{2}\)).

Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).

If cot\(\theta\) = \(\frac{8}{15}\), where \(\theta\) is acute, find sin\(\theta\)