2010 JAMB Mathematics Past Questions

Find r, if 6r7₈ = 511₉

Simplify \( \left(  \normalsize\frac{3}{4}\scriptsize \; of \; \normalsize\frac{4}{9} \scriptsize \:÷ \:9 \normalsize \frac{1}{2}\right)\scriptsize   \: ÷ \:1\normalsize \frac{5}{19}\)

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

At what rate will the interest on N400 increase 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

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

Given that log 2 = 0.3010, log 7 = 0.8451 evaluate log 112

Rationalise \(  \frac{2\sqrt{3}\: +\: \sqrt{5}}{\sqrt{5} \:-\: \sqrt{3}}\)

Express the product of 0.21 and 0.34 in standard form

Which of the Venn diagrams below represents P’ ∩ Q ∩ R’?

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

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

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

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 ¹/₂ when y = 2, find x if y = 4

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

Solve the inequalities -6 ≤ 4 – 2x < 5 – x

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

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

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

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

If \( \scriptsize \begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15 \)

find the value of x

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

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

What is p^-1

From the diagram above, find x

The interior angles of a quadrilateral are (x + 15)°, (2x – 45)°, (x – 30)° and (x + 10)°. Find the value of the least interior angle.

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

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

An arc subtends an angle of 50º at the centre of the circle of radius 6 cm. calculate the area of the sector formed.

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

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

Find the distance between the points \( (\normalsize\frac{1}{2}, \frac{1}{2}) \scriptsize \;and \; \normalsize (-\frac{1}{2}, -\frac{1}{2}) \)

Find the gradient of the line passing through the point p(1,1) and Q(2,5)

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

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

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

If y = (2x + 1)³ find \( \frac{dy}{dx}\)

If y = x sinx, find \( \frac{dy}{dx}\)

At what value of x does the functions y = -3 -2x + x² attain a minimum value?

Evaluate \(\int^{2}_{0}(x^3 + x^2)\scriptsize dx\)

Find ∫(sin x + 2)dx

The table above shows the marks obtained in a given test.

If the pass mark is 5, how many students failed the test?

The table above shows the marks obtained in a given test.

How many students took the test?

The table above shows the marks obtained in a given test.

Find the mean mark.

Find the standard deviation of 2, 3, 5 and 6

In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?

If three unbiased coins are tossed, find the probability that they are all heads.