Question

Maths

1. Find five rational numbers between 3/5 and 4/5.

2.

Locate √3 on the number line.

3. Show that 0.3333… = 0.3 can be expressed in the form p/q, where p

and q are integers and q ≠ 0.4. Simplify: (√3+√7) (√3-√7).

5. Expand (4p+ 5q)3

6. Compute the value of 9x2 + 4y2

if xy = 6 and 3x + 2y = 12.

7. Find the value of the polynomial 5x – 4x2 + 3 at x = 2 and x = –1

8. Find the remainder when t3 – 2t2 + t + 1 is divided by t – 1.

9. Without plotting the points indicate the quadrant in which they will lie, if

(i) the ordinate is 5 and abscissa is – 3

(ii) the abscissa is – 5 and ordinate is – 3

(iii) the abscissa is – 5 and ordinate is 3

(iv) the ordinate is 5 and abscissa is 3

10. Plot the points (x, y) given in the following table on the plane, choosing

suitable units of distance on the axes.

x -2 -1 0 1 3

y 8 7 -1.25 3 -1

11. Write the answer to each of the following questions:

(i) What is the name of the horizontal and the vertical lines drawn to determine the

position of any point in the Cartesian plane?

(ii) What is the name of each part of the plane formed by these two lines?

(iii) Write the name of the point where these two lines intersect

12. Express the following linear equations in the form ax + by + c = 0 and indicate

the values of a, b and c in each case:

(i) x – y/5 – 10 = 0

(ii) -2x+3y = 6

(iii) y – 2 = 0

13. Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph

cuts X and Y-axis?​

Answer 1

Answer:

11) I) horizontal line is X axis

vertical line is y axis

2) quadrant

3) origin

Answer 2

Answer:

11) i) horizontal line is x-axis

vertical line is y-axis

ii) quadrant

iii) otigin