Grade 8 Maths

Zonal Education Office - Jaffna.

Third Term Examination - 2011

Gjurakd; -e 1-1 08

Maths

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Part - I

Answer all questions on this paper itself.

01. Evaluate. 714 : 7

02. The sum of two consecutive prime numbers between 1 and 50 is a square number, Find those prime numbers.

03. In figure,

a

1. Write a pair of corresponding angles.

b

2. Write a pair of allied angles.

dc

04. What is the value of x in the given diagram.

X

470

05. If x =2 and y = 3, find the value of 2x y

06. Write the speacial name of the solid which has only four equilateral triangular faces.

07. Factorize: a ax ax2

08. i. What is the number of axis of symmetry, of a regular pentagon. ii. What is the order of rotational symmetry of a regular pentagon.

Grade 8

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09. How many 2 are there in 8. 3

10. Evaluate:

1.08 18

11.Solve: 3x + 2 = (-10)

12. Write 300g as i. a fraction

ii. a percentage of 2kg

13. If R = { The triangular numbers between 10 and 36} i.Write the set R with elements.

ii. Find n(R)

14. In figure, find the area of the shaded portion.

4cm

15. i. What is the time difference between two consecutive time zones.

3cm

5cm

ii. In which time zone Sri Lanka is situated. 16. How many litres is 2m3 17. What is the bearing of A from O

A

N

400

O

18. Draw the Locus of a point at a constant distance of 5cm from A.

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19. Solve the inquality, x + 4 > 7, and represent the integer solutions on a number line.

20. Write the scale 1cm represents 1km as a ratio.

Part 2 Answer the first questions and any other four questions 01. When finding the location of a place from another place, in the horizontal plane, the angle of rotation clockwise from the north of the point of examination is its bearing. 1. The point B is located 8cm from A on a bearing of 0400. Mark the points A and B on a figure.

(2 Marks)

2. The point C is located 6cm from A on a bearing of 1300. Mark the point C on the above figure.

(2 Marks)

3. Complete the triangle ABC

(1 Marks)

4. Which type of triangle is it?

(1 Marks)

5. Measure and write down the length BC?

6. Draw the locus of a point equidistant from B and C, meets BC at O. 7. Draw the circle with centre O and radius OA 8. What is the relationship between OA,OB and OC.

(1 Marks)

(3 Marks) (2 Marks)

(1 Marks)

9. Write the name of a diameter of the circle.

(1 Marks)

10 Find the perimeter of triangle ABC.

(2 Marks)

Grade 8

(16 Marks)

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Maths

02)1. In figure, write a pair of adjacent angles.

(1 Marks)

2. According to the information given in the diagram, find the value of x and y. (2 Marks)

A B

D

C

E

F

300

x

y 1100

3. The interior angles of a triangles are 5x0, 3x0, x0 1. Find the value of x and hence find the interior angles of the triangles.

2. Which type of triangle is it?

4. According to the data given in the diagram

2x

1. Find the value of a.

(1 Marks)

(2 Marks) (1 Marks)

3x

600

1100

a

2. Find the value of x.

(2 Marks)

5. According to the data given in the diagram

1. Find the value of a.

(1 Marks)

900 200

2. Find the value of x. (1 Marks)

800

x

a

03) 1. The weight (in kg) of 40 students in a class is shown in the table given below.

Weight(kg) No of students (f)

fx

35

06

36

05

37

05

38

15

39

05

40

04

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a. Fill in the fx column b. What is the mode weight?

(2 Marks) (1 Marks)

c. What is the median weight? d. What is the mean weight?

(2 Marks) (2 Marks)

e. Write the number of students whose weights are more than 38kg as a percentage of the

whole students in the class.

(2 Marks)

2. a. If the weight of a lemon is 50g. Find the number of lemons are in 1kg (Taking all lemons

are in equal weights)

(1 Marks)

b. If the price of 1kg lemon is Rs 120, find the price of a lemon.

(1 Marks)

(11 Marks)

04) 1. Write the definition of null set and give it notation. Give an example for null set. (2 Marks)

2. The probability of a mango in a heap of mangoes being defective is 1 , If 40 mangoes are in

the heap. how many are good.

5

(2 Marks)

3. Draw a Cartesian plane and mark the following points on it. (3 , 1), (3,1), ( 3, 2 )

(3 Marks)

4. Write the equation of the straight line formed by joining the above points.

5. Taking 98 = 48 x 2 and 72 = 36 x 2, find the value of 98x72

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(3 Marks)

(11 Marks) Maths

05) 1. a) Find the capacity in l of a cuboid shaped tank of length 40cm, breadth 30cm and height

20 cm.

(2 Marks)

b) If 1 portion of the above tank is filled with water find the quantity of water in l needed

to c3ompletely fill the tank.

(2 Marks)

c) Find the capacity in l of a container of which has the area of the base is 400cm2 and height

10cm.

(2 Marks)

d) To full fill the tank said in part(i), how many times the water should be poured using the

container said in part(iii)

(2 Marks)

2. 35% of the students in a class are boys. If the number of girls in the class is 26,

a. What is the percentage of girls?

(1 Marks)

b. What is the number of students in the class.

(2 Marks)

(11 Marks)

06)1. How will call the tessellation made by using more than one shapes.

(1 Marks)

2. The ratio between the number of goats and the number of cows is 3:7, and the ration between the number of cows and the number hens is 2:3 a. Find the ratio among goats, cows and hens. (2 Marks)

b. If the number of hens is 105 1. Find thenumber of cows 2. Find the number of goats.

(2 Marks) (2 Marks)

3. Remove brackets and simplify. 4 (2x + 3) 2 x 4x

(1 Marks)

4. Evaluate: 32 x 23

(2 Marks)

5.

Simplify..

3 8

+

1 4

(1 Marks) (11 Marks)

Grade 8

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Maths

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