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.

2,476.

The length of a notebook 15cm, was measured as 16.8cm. Calculate the percentage error to 2 significant figures.

A.

12.00%

B.

11.00%

C.

10.71%

D.

0.12%

Correct answer is A

Error = (16.8cm - 15cm = 1.8cm\)

\(\text{% error} = \frac{1.8}{15} \times 100% = \frac{180}{15}\)

= \(12.00%\)

2,477.

Convert 3.1415926 to 5 decimal places

A.

3.14160

B.

3.14159

C.

0.31415

D.

3.14200

Correct answer is B

3.1415926 \(\approxeq\) 3.14159 (to 5 d.p)

2,478.

Calculate \(3310_5 - 1442_5\)

A.

13135

B.

21315

C.

43025

D.

11035

Correct answer is A

\(3310_{5} - 1442_{5} = 1313_{5}\)

You can either do a direct subtraction (which is easier), or convert both numbers in base 10, subtract and convert back to base 5 (if you're not sure).

2,479.

Find the standard deviation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

A.

2

B.

3

C.

\(\sqrt{10}\)

D.

\(\sqrt{11}\)

Correct answer is C

x = \(\frac{\sum x}{N}\)

= \(\frac{0}{11}\)

= 0

\(\begin{array}{c|c} x & (x - x) & (x - x)^2 \\\hline -5 & -5 & 25 \\ -4 & -4 & 16 \\-3 & -3 & 9 \\ -2 & -2 & 4 \\ -1 & -1 & 1\\ 0 & 0 & 0\\ 1 & 1 & 1\\ 2 & 2 & 4\\ 3 & 3 & 9\\ 4 & 4 & 16 \\5 & 5 & 25\\ \hline & & 110\end{array}\)
S.D = \(\sqrt{\frac{\sum(x - x)^2}{\sum f}}\)

= \(\sqrt{\frac{110}{11}}\)

= \(\sqrt{10}\)

2,480.

A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number

A.

\(\frac{5}{11}\)

B.

\(\frac{1}{2}\)

C.

\(\frac{6}{11}\)

D.

\(\frac{7}{10}\)

Correct answer is C

n(even numbers between 10 and 20 inclusive) = 6

n(numbers between 10 and 20) = 11

P(even) = \(\frac{6}{11}\)