2007 JAMB UTME Mathematics Past Questions

2007

Find the sum to infinity of the series \(2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+......\)

2007

The nth term of the sequence 3/2, 3, 7, 16, 35, 74 ..... is

2007

A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1

2007

W ∝ L2 and W = 6 when L = 4. If L = √17 find W

2007

Factorize 2t2 + t - 15

2007

The solution of the quadratic inequality (x3 + x - 12) ≥ 0 is

2007

Make L the subjects of the formula if \(\sqrt{\frac{42w}{5l}}\)

2007

The graph above is represented by

2007

A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-3/4)⊕6 is

2007

Determine the value of \(\int_0 ^{\frac{\pi}{2}}(-2cos x)dx\)

2007

Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a maximum value

2007

If y = x cos x, find dy/dx

2007

Integrate \(\frac{x^2 -\sqrt{x}}{x}\) with respect to x

2007

In how many ways can 6 subjects be selected from 10 subjects for an examination

2007

The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y

2007

What is the mean deviation of 3, 5, 8, 11, 12 and 21?

2007

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 1 years old?

2007

The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k

2007

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

2007

The histogram above represents the weights of students who travelled out to their school for an examination. How many people made the trip.

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