REVISION -GRADE 10-ARITHMETIC PROGRESSIONS & COORDINATE GEOMETRY.

 ARITHMETIC PROGRESSIONS

1. Find how many natural numbers between 102 and 998 are divisible by both 2 and 5.

2. Which term of the A.P 121,117,113……… is its first negative term?

3. Find the sum of all 3 digit numbers which leave a remainder 2, when divided by 3.

4. In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?

COORDINATE GEOMETRY

5. Find the ratio in which the y-axis divides the line segment joining the points
 (5, – 6) and (–1, – 4). Also find the point of intersection.

6. If A( -2, -1 ), B (a, 0), C(4, b) and D( 1, 2 ) are the vertices of a parallelogram,  find the values of a and b.

7. In which quadrant the point that divides the line segment joining the points
( 8, -9) and (2,3 ) in the ratio 1:2 internally lie?