GRADED ASSIGNMENT(LEVEL-6)

SUBJECT-MATHEMATICS

CLASSES-IX & X

Q1. / Factorise the following polynimals
(i)x2+5x+6 (ii)x2+xy+8x+8y (iii)4p2-9q2
Q2. / Simplify:(y-8)(3y+5)
Q3. / Find the following squares using identities
(i)(b-7)2 (ii)(xy+3z)2 (iii) (6x+5y)(6x-5y)
Q4. / Find the side of a cube whose surface area is 600cm2.
Q5. / A closed cylindrical tank of radius 7m and height 3m is made from a sheet of metal.How much sheet of metal is requird?
Q6. / If the weight of 12 sheets of thick paper is 40 grams ,how many sheets of same paper would weigh2.5 kilograms?
Q7. / A school has 8 periods a day each of 45 minutes duration.How long would each period be,if the school has 9 periods a day,assuming the number of school hours to be the same?
Q8. / The difference between two whole numbers is 66.The ratio of the two numbers is2:5.What are the two numbers?
Q9. / Solve the equation for x :

Q10. / Draw a diagram of each of the following (i)a covex polygon
(ii)a concave polygon
Q11. / In a parallelogram ABCD, find the value of x & y
Q12. / Find the square root of 5776.
Q13. / The shoppers who come to a departmental store are marked as: man (M), woman
(W), boy (B) or girl (G). The following list gives the shoppers who came during the
first hour in the morning:
W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W
W M W B W G M W W W W G W M M W W M W G W M G W M M B G G W
Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.
Q14. / Find the cuberoot of 13824.
Q15. / Find ten rational number between -2/5 & 1/2.
Q16. / Solve the equation: x/2-1/5=x/3+1/4
Q17. / Find the angle measure x in the following figures.
Q18. / The following figures GUNS and RUNS are parallelograms.
Find x and y. (Lengths are in cm)

Q19. / Construct the Quadrilateral GOLD
OL = 7.5 cm
GL = 6 cm
GD = 6 cm
LD = 5 cm
OD = 10 cm
Write steps of construction also.
Q20. / The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.

Q21. / Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.