Mathematics questions and answers

Mathematics Questions and Answers

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.

3,386.

The nth term of a sequence is given by 3.2\(^{n-2}\). Write down the first three terms of the sequence.

A.

2/3, 0, 6

B.

3/2, 3, 6,

C.

2/3, 3, 8/3

D.

2/3, 3/4, 6

E.

2/3, 3, 1/3

Correct answer is B

\(T_n = 3. 2^{n - 2} \)

\(T_{1} = 3. 2^{1 - 2} = 3. 2^{-1} \)

\(T_1 = \frac{3}{2} \)

\(T_2 = 3. 2^{2 - 2} \)

\(T_2 = 3. 2^0  = 3\)

\(T_3 = 3. 2^{3 - 2} = 3. 2^1 \)

\(T_3 = 6\)

The first 3 terms of the sequence are \(\frac{3}{2}\), 3 and 6.

3,387.

A bricklayer measured the length of a wall and obtained 4.10m. If the actual length of the wall is 4.25m, find his percentage error.

A.

3 9/17%

B.

3 27/41%

C.

15%

D.

35 5/17%

E.

36 24/41%

Correct answer is A

Error = 4.25 - 4.10 = 0.15

% error = \(\frac{0.15}{4.25} \times 100%\)

= \(\frac{15}{\frac{17}{4}} = \frac{15 \times 4}{17}\)

= \(3\frac{9}{17} %\)

3,388.

Convert 77 to a number in base two

A.

1001 101

B.

111001

C.

100110

D.

10101

E.

10011

Correct answer is A

\(\begin{array}{c|c} 2 & 77 \\ \hline 2 & 38 R1 \\ 2 & 19 R0 \\ 2 & 9 R1 \\ 2 & 4 R1 \\ 2 & 2 R0 \\ 2 & 1 R0 \\ & 0 R1\end{array}\)

77ten = 1001101two

3,389.

If x varies over the set of real numbers, which of the following is illustrated in the diagram above?

A.

-3

B.

-3≤x<2

C.

-3

D.

-3≤x≤2

E.

x≥2

Correct answer is B

No explanation has been provided for this answer.

3,390.

Simplify (3/4 + 1/3) x 4(1/3) ÷ 3(1/4)

A.

1/2

B.

13/12

C.

10/9

D.

17/12

E.

13/9

Correct answer is E

(3/4 + 1/3) x 4(1/3) \(\div\) 3(1\4)

\(\begin{pmatrix} 9 + 4 \\ 12 \end{pmatrix}\) x \(\frac{13}{3}\) * \(\frac{4}{13}\)

= 9/4 or 1(4/9)