If a property holds for rational number, will it also hold for integers? For whole numbers? Which will? Which will not?

3

(a)

Solve, \({-3\over13}+{15\over17}\times{-3\over13}+{17\over15}\)

3

(a)

Simplify
\({3\over7}\times({-2\over21})\times({-5\over6})\)

3

(a)

On a winter day, the temperature at a place in Jammu and Kashmir was -16^° C. Convert it in degree Fahrenheit (^°F)by using the formula\({c\over5}={F-32\over9}\)

3

(a)

Find three rational numbers between -3 and - 4

3

(a)

Solve the following:
\((\frac{2}{3})^{-2}\times(\frac{2}{3})^{5}\)

3

(a)

Simplify: \(\frac { { 2 }^{ -5 }\times { 3 }^{ -5 }\times 125 }{ { 5 }^{ -4 }\times { 6 }^{ -5 } } \)

3

(a)

Express the following as the sum of two consecutive integers. 21²

3

(a)

Find the square roots of the following numbers by the prime factorisation method.9216

3

(a)

Find the values of the letters in each of the following and give reasons for the steps involved.\(\begin{matrix} \quad \quad A\quad B \\ \quad \times \quad 6 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \\ B\quad B\quad B \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

3

(a)

If 51x3 is a multiple of 9, where x is a digit, then what is the value of x?

3

(a)

Find the cube root of 13824 by prime factorisation method.

3

(a)

Construct a frequency distribution table for the data on weights (in kg) of 20 students of a class using intervals 30-35, 35-40 and so on. 40,38,33,48,60,53,31,46,34,36,49,41, 55, 49, 65, 42, 44, 47, 38, 39.

3

(a)

Draw a line passing through (2, 1) and (1, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.

3

(a)

Solve: \({15\over 4}-7p=9\)

3

(a)