Class VIII - New Era Public School

NEW ERA PUBLIC SCHOOL
MATHEMATICS ASSIGNMENT
CLASS VIII
TOPICS: DATA HANDLING, CONSTRUCTIONS
1. The following data represents the expenses of a school in the month of June. Calculate
the central angle in each case.
ITEM
New equipment
Furniture
Library books
Sports
Others
EXPENSES [RUPEES]
40000
6000
10000
12000
4000
2. Seema got Rs. 2000 as gift. She spends the money as follows –
EXPENSES
AMOUNT
Books
Travelling
Entertainment
Eating
Savings
Total
500
300
600
350
250
2000
Represent this data in the form of a pie chart.
3. Construct a quadrilateral PQRS, where PQ = 3 cm, QR = 5.3 cm, PR = 7 cm, RS = 4.8 cm
and PS = 5cm.
4. Construct a quadrilateral ABCD when AB = 4.5 cm, BC = 3 cm, CD = 5.5 cm,  B = 30,
 C = 150 .
5. Construct a square MNOP having side MN = 4.5 cm.
6. Construct a rhombus, the length of whose diagonals is 8 cm and 6 cm.
7. The following table shows the number of people fined under different categories last month.
Represent the given information in the form of a pie chart.
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CATEGORIES
Signal breaking
Drunk driving
Without licence
Without PUC
Total
NUMBER OF PEOPLE
250
125
400
325
1100
8. Construct a quadrilateral of sides 6 cm, 4.5 cm, 6 cm, 4.5 cm and diagonal 6.8 cm.
9. Construct a quadrilateral ABCD, given AB = BC = 4 cm, AD = 5.5 cm,  A = 75
and  B = 105 .
10. In a survey, it was found that a student spends the 24 hours of a day in the following
manner. Draw a pie chart to represent the various activities.
ACTIVITY
Sleep
School
Games
Home work
Others
NUMBER OF HOURS
8
7
2
3
4
11. Construct a quadrilateral ABCD, if AB = 5.6 cm, BC = 4 cm,  B = 50 ,  C = 105
 A = 80 .
12. Construct a quadrilateral EFGH, in which EF = 4.4 cm, FG = 5.2 cm, EH = 6.3 cm, EG =
6.8 cm and FH = 7.2 cm.
13. Construct a quadrilateral PQRS, in which PQ = 4 cm, QR = 3.5 cm, RS = 4.5 cm,  Q =
90,  R = 120 .
14. Construct a quadrilateral READ, in which RE = 4.2 cm, EA= 5.4 cm,  R = 120,  E =
120,  A= 60 .
15. Construct a quadrilateral, in which PQ = 4 cm, QR = 4.7 cm, PR = 5.9 cm, PS = 4.2 cm,
QS = 6.7 cm.
16. Construct a rectangle of sides 5.5 cm and 6.5 cm.
17. Construct a parallelogram whose two sides and one angle are 4.5 cm, 5 cm and 60 
respectively.
18. Construct a quadrilateral BEST, in which BE = 3 cm, ES = 3 cm, BS = 4 cm, ST = 5 cm
and AD = 2 cm.
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19. From the Pie Chart given, find the amount spent on different sports in a club of the year.
The total expense is Rs. 1440000.00
Baseball 120 ̊
Football 85 ̊
Volley ball 50 ̊
Cricket 45 ̊
Hockey 60 ̊
20. Construct a quadrilateral KLMN, if KL = 4.3 cm, LM = 5 cm,  L= 100,  M = 120 and
 N = 60 .
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