Find two rational numbers between 3/4 and 5/9.

2

(a)

Write three rational numbers between -2/5 and -1/5.

2

(a)

Express \(18.\overline{48} \) in the form of p/q, where p and q are integers, \(q\neq 0\) .

2

(a)

Simplify \(\sqrt { 2 } (\sqrt { 6 } -\sqrt { 8 } )+\sqrt { 3 } (\sqrt { 27 } -\sqrt { 6 } )\)

2

(a)

If x = 5 and y = 2, find the value of \((i)\quad \left( { x }^{ y }+{ y }^{ y } \right) \ (ii)\ { \left( { x }^{ y }+{ y }^{ y } \right) }^{ -1 }\)

2

(a)

Divide p(x) by g(x), where p(x) = x + 3x² – 1 and g(x) = 1 + x.

2

(a)

Evaluate 105 x106 without direct-multiplying.

2

(a)

Find the value of the polynomial p(x) = x³ - 3x² - 2x + 6 at x = \(\sqrt { 2 } \)

2

(a)

Simplify: \(\left( x+\frac { 1 }{ x } \right) \left( x-\frac { 1 }{ x } \right) \left( { x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \right) \left( { x }^{ 4 }+\frac { 1 }{ { x }^{ 4 } } \right) \)

2

(a)

The lengths of perpendiculars PM and PN drawn from a point P, on x-axis and y-axis are of 3 and 2 units respectively.Find the coordinates of points P,M and N.

2

(a)

Plot the following points A(5,0), B(-1,2), C(2,-2), D(0,4), E(-3,-3), F(0,-1)

2

(a)

How many planes can be made to pass through
(i) Three collinear points.
(ii) Three non-collinear points.

2

(a)

In figure given below l || m Before of RQB and DRQ intersect at P find the measure of RPQ

2

(a)

In figure, \(\angle DOB=87^o\) and \(\angle COA=82^o\). If \(\angle BOA=35^o\), then find \(\angle COB\) and \(\angle COD\)

2

(a)

If a transversal intersects two parallel lines, then the bisectors of any pair of alternate angles are parallel. prove it.

2

(a)

In the figure, AB||CD, find the value if z, \(\angle DNM\) and \(\angle CNM.\)

2

(a)

In the given figure:
(a) name the two triangles on the same base AB and between the same parallels.
(b) name a triangle and a parallelogram on the same base BC and between the same parallels.

2

(a)

ABCD is a cyclic quadrilateral in which AB II CD. If ㄥD=70, find all the remaining angles.

2

(a)

A shot-put is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm³, find the mass of the shot-put.

2

(a)

The probability of winning a game is \(\frac{1}{3}\) less than the twice of losing the game. Find probability of winning the game.

2

(a)