Mathematics Questions & Answers - Free Online Practice

1,211.

In the diagram, MN//PO, < PMN = 112^o, < PNO = 129^oo and < MPN = y^o. Find the value of y

51^o

54^o

56^o

68^o

View answer & explanation

Correct answer is B

In \(\bigtriangleup\) NPO + PNO + PNO + < NOP = 180^o(sum of interior angles of a \(\bigtriangleup\) )

i.e. NPO + 129 + 37 = 180

< NOP = 180 - (129 + 37) = 14^o

< MNP = < NOP = 14^o (alt. < s)

In \(\bigtriangleup\) MPN

< PMN + < MNP + y = 180(sum of interior angles of a \(\bigtriangleup\))

i.e. 112 + 14 + y = 180^o

y = 180 - (112 + 14) = 180 - 126 = 54^o

1,212.

The graph is that of y = 2x² - 5x - 3. For what value of x will y be negative? What is the gradient of y = 2x² - 5x - 3 at the point x = 4?

11.1

10.5

10.3

9.9

View answer & explanation

Correct answer is A

No explanation has been provided for this answer.

1,213.

The bar chart shows the frequency distribution of marks scored by students in a class test. What is the median of the distribution?

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Correct answer is A

median = (\(\frac{N + 1}{2}\))th = (\(\frac{25 + 1}{2}\))th

= \(\frac{26th}{2}\)

= 13th

the 13th is 2

1,214.

The bar chart shows the frequency distribution of marks scored by students in a class test. Calculate the mean of the distribution.

6.0

3.0

2.4

1.8

View answer & explanation

Correct answer is C

\(\begin{array}{c|c} x & f & fx\\ \hline 1 & 6 & 6 \\
2 & 8 & 16\\ 3 & 8 & 18\\ 4 & 5 & 20\end{array}\)

mean x = \(\frac{\sum fx}{\sum f}\)

= \(\frac{60}{25}\)

x = 2.4