Mathematics JAMB, WAEC, NECO AND NABTEB Official Past Questions

A student sitting on a tower 68 metres high observes his principal’s car at the angle of depression of 20o. How far is the car from the bottom of the tower to the nearest metre?

Calculate the distance between points L(-1, -6) and M(-3, -5)

\(\begin{pmatrix} -2 & 1 \\ 2 & 3 \end{pmatrix}\) \(\begin{pmatrix}p & q \\ r & s\end{pmatrix}\) = \(\begin{pmatrix} 1 & 0 \\0 & 1 \end{pmatrix}\). What is the value of r?

Find the values of x and y respectively if
\(\begin{pmatrix} 1 & 0 \\ -1 & -1\\ 2 & 2 \end{pmatrix}\) + \(\begin{pmatrix} x & 1 \\ -1 & 0\\ y & -2 \end{pmatrix}\) = \(\begin{pmatrix} -2 & 1 \\ -2 & -1\\ -3 & 0 \end{pmatrix}\)

The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5?

The probability of picking a letter T from the word OBSTRUCTION is?

Find the number of ways of selecting 6 out of 10 subjects for an examination

In how many ways can the letters of the word ACCEPTANCE be arranged?

Find the mean deviation of 2, 4, 5, and 9

If x > 0, find the range of number x-3, 3x+2,x-1, 4x, 2x-1, x-2, 2x-2, 3x and 3x+1

Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0

What is the mean of the data t, 2t-1, t-2, 2t -1, 4t and 2t+2?

The bar chart above shows the number of times the word “a, and , in, it, the ,to” appear in a paragraph in a book.

What is the ratio of the least frequent word to the most frequent word?

On a pie chart there are six sectors of which four angles are 30°, 45°, 60°, 90° and the remaining two angles are in the ratio 2:1. Find the smallest angles of the remaining two angles.

Evaluate \(\int^{\frac{\pi}{2}} _{\frac{-\pi}{2}} cos x dx\)

Evaluate \(\int_1 ^2(6x^2-2x)dx\)

Find the minimum value of the function y = x(1+x)

Differentiate sin x – x cos x

Find the derivative of \(y=\frac{x^7 – x^5}{x^4}\)

If sinθ = 3/5. Find Tanθ

Find the gradient of a line which is perpendicular to the line with the equation 3x + 2y + 1 = 0