How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
\(\begin{pmatrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{pmatrix}\)
\(\begin{pmatrix} 10 & 6 \\ 13 & 10 \\ 12 & 6 \end{pmatrix}\)
\(\begin{pmatrix} 10 & 6 \\ 12 & 10 \\ 11 & 6 \end{pmatrix}\)
\(\begin{pmatrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{pmatrix}\)
Correct answer is D
Given A = \(\begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\).
We can multiply these matrices since the number of colums in A = number of rows in B
AB = \(\begin{pmatrix} (2*3)+(1*4) & (2*2)+(1*2) \\ (2*3)+(3*4) & (2*2)+(3*2) \\ (1*3)+(2*4) & (1*2)+(2*2) \end{pmatrix}\)
AB = \(\begin{pmatrix} (6+4) & (4+2) \\ (6+12) & (4+6) \\ (3+8) & (2+4) \end{pmatrix}\)
= \(\begin{pmatrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{pmatrix}\)
\(\frac{{2x+1}^3}{8}\) + C
\(\frac{{2x+1}^4}{8}\) + C
\(\frac{{2x+1}^4}{4}\) + C
\(\frac{{2x+1}^2}{6}\) + C
Correct answer is B
Recall chain rule:
u = 2x +1; du = 2dx → dx = \(\frac{du}{2}\)
u\(^3\) = ∫ u\(^3\) \(\frac{du}{2}\) → \(\frac{1}{2}\) ∫ u\(^3\)
= \(\frac{1*u^4}{2*4}\)
= \(\frac{u^4}{8}\) → \(\frac{{2x+1}^4}{8}\) + C
In how many ways can the letter of ZOOLOGY be arranged?
720
360
840
120
Correct answer is C
Zoology has 7 letters in total, with O repeated thrice
\(\frac{7!}{3!}\) → \(\frac{7*6*5*4*3*2*1}{3*2*1}\)
= 840ways
In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY
180º - gº - hº
360º - (g-h)º
180º - (g-h)º
360º - gº - hº
Correct answer is A
Using line LZ with angles sum = 180º
: ∠MNY = 180º - (g + h)º or 180º - gº - hº
The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?
35/3
64
16
35/2
Correct answer is A
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