JAMB Mathematics Past Questions & Answers - Page 192

956.

The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel

\(\frac{7}{13}\)

\(\frac{5}{13}\)

\(\frac{6}{13}\)

\(\frac{8}{13}\)

\(\frac{4}{13}\)

View answer & explanation

Correct answer is C

Vowels of letters are 6 in numbers

prob. of vowel = \(\frac{6}{13}\)

957.

The scores of 16 students in a Mathematics test are 65, 65, 55, 60, 60, 65, 60, 70, 75, 70, 65, 70, 60, 65, 65, 70. What is the sum of the median and modal scores?

125

130

140

150

137.5

View answer & explanation

Correct answer is B

\(\begin{array}{c|c} Scores & Frequency \\\hline 55 & 1\\ 60 & 4\\ 65 & 6\\ 70 & 4\\ 75 & 1 \end{array}\)
Median = 65(middle number)

Mode = 65(most common)

Median + Mode = 65 + 65 = 130

958.

Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26

15^o, 25^o, 35^o, 40^o, 65^o

60^o, 100^o, 140^o, 160^o, 260^o

6^o, 10^o, 14^o, 16^o, 26^o

30^o, 50^o, 70^o, 80^o, 130^o

none of the above

View answer & explanation

Correct answer is D

6 + 10 + 14 + 16 + 26 = 72

\(\frac{6}{72}\) x 360

= 30^o

Similarly others give 30^o, 50^o, 70^o, 80^o and 130^o respectively

959.

Find the missing value in the following table \(\begin{array}{c|c} x & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline Y = x^3 - x + 3 & & 3 & 3 & 3 & 9 & 27\end{array}\)

-3

-9

View answer & explanation

Correct answer is A

When x = -2, y = x³ - x + 3

= -2³ - (-2) + 3

= -8 + 2 + 3

= -3

960.

Solve the simultaneous equations for x in x² + y - 8 = 0, y + 5x - 2 = 0

-28, 7

6, -28

6, -1

-1, 7

3, 2

View answer & explanation

Correct answer is C

x² + y - 8 = 0, y + 5x - 2 = 0

Rearranging, x² + y = 8.....(i)

5x + y = 2.......(ii)

Subtract eqn(ii) from eqn(i)

x² - 5x - 6 = 0

(x - 6)(x + 1) = 0

x = 6, -1