Mathematics 2012 Study Mode

Try this quiz in CBT Mode
Mathematics 2012 in CBT Mode

Please share this quiz link to your friends, they might need it!

Quiz link
you can share this link with your friends
copy link veiw live

1.
Convert 726 to a number in base three
Join or view discussions on this question
A.
2211
B.
2121
C.
1212
D.
1122
Explanation. Give a better Explanation
First, convert to base 10

726 = (7 x 61) + (2 x 60)

= 42 + 2

= 4410

\(\begin{array}{c|c} 3 & 44 \\ \hline 3 & 14 & r 2 \\ \hline 3 & 4 & r 2 \\ \hline 3 & 1 & r 1 \\ \hline 3 & 0 & r 1 \end{array}\)

Ans = 1122 = D


2.
Simply \(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\)
Join or view discussions on this question
A.
\(1\frac{1}{4}\)
B.
\(1\frac{1}{6}\)
C.
\(\frac{5}{6}\)
D.
\(\frac{4}{5}\)
Explanation. Give a better Explanation
\(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\)

\(\frac{8}{3} \times \frac{3}{2} \div \frac{24}{5}\)

\(\frac{8}{3} \times \frac{3}{2} \times \frac{5}{24}\)

\(\frac{5}{6}\)


3.
Evaluate \(\frac{21}{9}\) to 3 significant figures
Join or view discussions on this question
A.
2.3
B.
2.31
C.
2.32
D.
2.33

4.
A man earns N3,500 per month out of which he spends 15% on his children's education. If he spends additional N1,950 on food, how much does he have left?
Join or view discussions on this question
A.
N525
B.
N1,025
C.
N1,950
D.
N2,975
Explanation. Give a better Explanation
Amount spent on children = \(\frac{15}{100} \times 3500 = N525\)

Amount spent = Amount on children + Additional amount on food

Amount Spent = N525 + N1950 = N2475

Therefore amount left = N3,500 - N2,475 = N1,025


5.
If 27x + 2 \(\div\) 9x + 1 = 32x, find x
Join or view discussions on this question
A.
3
B.
4
C.
5
D.
6

6.
If log3x2 = -8, what is x?
Join or view discussions on this question
A.
\(\frac{1}{3}\)
B.
\(\frac{1}{9}\)
C.
\(\frac{1}{27}\)
D.
\(\frac{1}{81}\)
Explanation. Give a better Explanation
log3x2 = -8

x2 = 3-8

x = \(3^{-8 \times \frac{1}{2}}\)

x = 3-4

x = \(\frac{1}{3^4}\)

x = \(\frac{1}{81}\)


7.
Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)
Join or view discussions on this question
A.
\(2\sqrt{6}\)
B.
\(4\sqrt{6}\)
C.
\(8\sqrt{6}\)
D.
\(16\sqrt{6}\)
Explanation. Give a better Explanation
\((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

= \([(\sqrt{6} + 2) + (\sqrt{6} - 2)][(\sqrt{6} + 2) - (\sqrt{6} - 2)]\)

= \((\sqrt{6} + 2 + \sqrt{6} - 2)(\sqrt{6} + 2 - \sqrt{6} + 2)]\)

= \((2\sqrt{6})(4)\)

= \(8\sqrt{6}\)


8.
If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q
Join or view discussions on this question
A.
{3}
B.
{2,3}
C.
{2,3,5}
D.
{1,2}
Explanation. Give a better Explanation
P = {2,3,5}

Q = {2,3}

P \(\cap\) Q = {2,3}


9.
In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?
Join or view discussions on this question
A.
1
B.
2
C.
3
D.
4
Explanation. Give a better Explanation
n(f \(\cap\) v) + n(f) + n(v) + n(f \(\cap\) v) = 46

3 + 19 + 23 + x = 46

22 + 23 + x = 46

45 + x = 46

x = 46 - 45

x = 1


10.
Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)
Join or view discussions on this question
A.
\(\frac{1}{c}(\frac{w - 2v}{v + w})\)
B.
\(\frac{1}{c}(\frac{w - 2v}{v - w})\)
C.
\(\frac{1}{c}(\frac{w + 2v}{v - w})\)
D.
\(\frac{1}{c}(\frac{w + 2v}{v + w})\)
Explanation. Give a better Explanation
w = \(\frac{v(2 + cn)}{1 - cn}\)

2v + cnv = w(1 - cn)

2v + cnv = w - cnw

2v - w = -cnv - cnw

Multiply through by negative sign

-2v + w = cnv + cnw

-2v + w = n(cv + cw)

n = \(\frac{-2v + w}{cv + cw}\)

n = \(\frac{1}{c}\frac{-2v + w}{v + w}\)

Re-arrange...

n = \(\frac{1}{c}\frac{w - 2v}{v + w}\)


Next Page
Question Map