CBSE 8th Mathematics Worksheet - Important Questions-Linear Equations & Understanding Quadrilaterals

Answer the following

1. Solve

a) 

 b) 

c) 

d) 

e)
    

2. Simplify

a) 0.4(3x –1) = 0.5x + 1

b) 5(x – 1) – 2(x + 8) = 0

c) 3 (5x – 7) + 2(9x – 11) = 4(8x – 7) – 111

3. Solve : 5x – 3 = 3x + 7

4. The sum of three consecutive numbers is 156. Find the numbers.

5. Fifteen added to thrice a whole number gives 93. The number is __________.

6. After 12 years, Kanwar shall be 3 times as old as he was 4 years ago. Find his present age

7. The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.

8. Find x

 

                  

                                    

9. Find the values of x and y

              

                       

                     

10. Each interior angle of a polygon is 108°. Find the number of sides of the polygon.

11. If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, find the ratio of these angles.

12. The angles of a quadrilateral are in the ratio 3 : 7 : 6 : 4. Find the angles.

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CBSE 8th Mathematics Worksheet - Understanding Quadrilaterals

Answer the following

1. Find x
             
2. Two adjacent angles of a parallelogram are in the ratio 4:5. Find their measures.

3. The angles of a quadrilateral are in the ratio 3 : 7 : 6 : 4. Find the angles.

4. Three angles of a quadrilateral are 50°, 40° and 123°. Find its fourth angle.

5. Each interior angle of a polygon is 108°. Find the number of sides of the polygon.

6. What is the sum of all the angles of a pentagon?

7. How many diagonals does a hexagon have?

8. A nonagon has __________ sides.

9. Find the values of x and y

10. PQRS is a parallelogram such that m∠R = 110°, then find m∠P and ∠S.

11. Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.

12. The perimeter of a parallelogram is 150 cm. One of its side is greater than the other by 25 cm. Find length of all sides of the parallelogram.

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CBSE 9th Mathematics Worksheet - Quadrilaterals

Answer the following

1. In a parallelogram ABCD, E and F are the midpoints of AB and CD respectively. Show that the linesegments AF and EC trisect the diagonal BD.

2. Show that the quadrilateral formed by joining the mid-points of the sides of a rectangle is a rhombus.

3. In a ΔABC, D, E and F are mid-points of sides AB, AC and BC respectively. If DE and DF are joined, find the perimeter of BDEF.

4. ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that

(i)MD ⊥ AC

(ii) D is mid-point of AC

(iii) MC = MA = 1/2 AB

5. In the adjoining figure QR=RS Find ∠PSR

                                       

6. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

7. In the adjoining figure, D, E and F are mid-points of the sides BC, CA and AB of ∆ABC If AB = 4.3cm, BC = 5.6cm and AC = 3.5cm, find the perimeter of ∆DEF
                      

8. AD is a median of ∆ABC and E is the mid-point of AD. BE Produced meets AC in F. Prove that AF= 1/3 AC

9. Show that the bisectors of angles of a parallelogram form a rectangle.

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