2022 - JAMB Mathematics Past Questions and Answers - page 2

Tn = a + (n-1)d

10th term = 32

32 = 3/2 + 9d 

9d = 32 - 3/2

9d = 61/2

d = 61/18

T4 = 3/2 + 3(61/18)

T4 = 3/2 + 61/6 → 35/3

In the third quadrant where the tangent of any angle is positive.

The sine and cosine of any angle between 180 and 270 degrees are negative.

ZOOLOGY has 7 letters in total, with O repeated thrice hence,

\(\frac{7!}{3!}\) → \(\frac{7*6*5*4*3*2*1}{3*2*1}\)

= 840ways

Given r = \( \sqrt \frac{3v}{\pi h} \)

Square both sides:

r\(^2\) = \(\frac{3v}{πh}\)

cross multiply

3v = r\(^2\) * πh

v = \(\frac{πr^2h}{3}\)

Log\(_2\) 8√2 => Log\(_2\) √128 

=> Log\(_2\) 128\(^\frac{1}{2}\)

= \(\frac{1}{2}\) * (Log\(_2\) 128) 

=> \(\frac{1}{2}\) * (Log\(_2\) 2\(^7\))

=  7 * \(\frac{1}{2}\) * (Log\(_2\) 2)

where (Log\(_2\) 2) = 1 

=>  7 * \(\frac{1}{2}\) * 1

= \(\frac{7}{2}\) or 3.5

A circle.

Numerator: 96 => 37.5% of 96 = 36

decrease by 36 => 96 - 36

new numerator = 60

Denominator: 50 => 20% of 50 = 10

decrease by 10 => 50 - 10 = 40

new denominator = 40

the new fraction = \(\frac{60}{40}\) or 1.5