වර්ෂ අවසාන ඇගයීම

Mz;L ,Wjp kjpg;gPL - 2021

Year End Evaluation

8 Mathematics I, II 2

Name : Index number :

……………..…..……………..……………………………………………… ……………………….………
Part 1
…………………………………………. ……….
• Answer all the questions on this paper itself.
• Each question carries 02 marks.
1. Write the next two terms of the given number pattern.

1, 3, 6, 10, ……., …….

2. x and 420 are a pair of complementary angles. Find the value of x.

3. Find the value.

(i) (−2) × (+3)
(ii) (−8) ÷ (−2)

4. If a = (−2), find the value of 𝑎3

5. The centre of the circle is O. Write the name given to the shaded part of the circle. .O

6. Remove the brackets and simplify.

4(x-2) + 3x

1
 D
7. AB and CD are straight lines. Find the value of x.
3x 2x
A B C

8. Find the value

√484

9. Write 200g as a percentage of 1kg.

10. If A= {Words of the letter “රතු වතුර” }, find n(A).

11. Fill in the blanks using suitable numbers.

4.25t = ……….t ……..kg

12. Solve.
2x - 1 = 3

13. Write the given percentage as a ratio.

28%

2
14. Write the given expression as a product of two factors.

𝑎2 𝑏 + 𝑎𝑏2
R
15. PQR is a triangle. Find the value of x.

40° x
P Q

16. . Simplify
5 3
×
6 4

17. If 273 × 31 = 8463, find the value of 0.273 × 0.31

18. Find the perimeter of the given figure.

= =2cm

=
=
8cm

=
1
19. Sri Lanka is situated in (+5 ) time zone. If Greenwich time is 05:30, find
2

the time in Sri Lanka.

20. Find the volume of the cuboid if the length is 25cm, breadth 20cm and height 10cm of it.

3
 Part 11
• Answer the first question and another four questions only.
• The first question carries 16 marks and the other questions carry 11 marks each.

1) A cube and a regular tetrahedron are two platonic solids.

a) Write the names of the other platonic solids.
b) Draw a shape of the face of one solid that you have mentioned above(a).
c) Euler’s relationship is satisfied with the solid which has 30 edges and 12 vertices.
i. Write the Euler’s relationship.
ii. Find the number of faces it has.
iii. Write the name of that solid.
d) Find the total surface area of a cube of side length 8cm.

2) Find the value.

5 1
a) ×1
9 5

2 1
b) 3 ÷2
11 2

c) 87.6 ÷ 0.12

3) a) Find the value of a, b and c, using the information given

in the figure. c a
a
b) A tessellation created using only one regular polygonal
shape is known as a regular tessellation. 84°
b
i. Name two polygons that can be used to create 66°

regular tessellations.
ii. Draw a regular tessellation using one polygon that you have written above (i).

4
4) a) Write the order of rotational symmetry of the plane figures given below.
i. equilateral triangle
ii. square
b) find the value
(−4) − (−2) + (+3)
c) Solve. 2(x+1)-1 =5

d) The locations of three places P, Q and R in the horizontal plane are given below.
• Q is situated 600m from P in the direction 600 East of North.
• R is situated 400m from Q in the direction 400 East of South.
Draw a sketch to show the locations of places P, Q and R with measurements based on the above
information.

5) a) The masses of a group of children are given below in kilogrammes.

12, 15, 18, 10, 12, 17, 16, 14
Find
i. the mode
ii. the median of the above data.

b) Construct a triangle ABC, with side lengths AB = 6cm, BC = 5cm, AC = 8cm

c) A box contains 5 cards numbered 1, 2,3,4 and 5. A card is drawn randomly from the box by a child. Find
the probability of drawing a square number.

5
6) a)Represent the inequality −2 < x ≤ 3 on a number line.

b) A(1,1) B(5,2) C(7,1) D(7,-3) E(5,-4) F(1,-3)

i. Draw a suitable Cartesian plane and mark the points given above.
ii. Join that points in the given order to get a closed figure.
iii. Write the equation of the axis of symmetry of the figure drawn above.

7) a) Find the area of the triangle ABC.

3cm

B C

b) Find the surface area of a cuboid shaped wood of length, breadth and height equal to 12cm, 8cm, and
5cm respectively.
c) The table below shows the ratio of flour, sugar and butter used by A and B companies to produce the
same sweetmeat.
ratio Flour: Sugar Sugar : Butter
Company
A 2:1 3:2
B 3:2 5:4

Which company produces the sweetest sweetmeat? Give reasons for your answer.

6
 8 කරේණිය - ගණිතය

1 ක ොටස

1. 15, 20 2 12. X = 2 2
2x=4 1
2. 48° 2
𝑥 + 42° = 90° 1 13. 28 : 100 1
7 : 25 1 2
3. (i). (-6) 1 7 : 25 පමණක් වුවත් ලකුණු 2 කෙන්න.
(ii). (+4) 1

14. ab (a + b)
4. (-8) 2 1 1 2
3
(−2) 1

15. 𝑥 = 50° 2
5. වෘත්ත ඛණ්ඩය /සුළු වෘත්ත ඛණ්ඩය 2 𝑥 + 40° + 90° = 180° 1

6. 7x – 8 2 5
16. 8 2
4x – 8 + 3x 1
15
1
24

7. 𝑥 = 36° 2
3𝑥 + 2𝑥 = 180° 1 17. 0.08463 2

8. 22 2 18. 32cm 2

484 = 2 × 2 × 11 × 11 1 2×5+8×2+6 1

9. 20% 2 19. 16 : 00 2
200
× 100% 1
1000
20. 5000𝑐𝑚3 2
25 × 20 × 10 1
10. n (A) = 3 2
A = { ර, තු, ව } 1

11. 4 t 250kg ලකුණු 40

1 බැගින් 2
 2 ක ොටස 87.6
(c).
0.12
1. (a). අකනක් ප්කේකටෝ ැට නම් කිරීම. 3 87.6×100 876 12
÷ 2
0.12×100 10 100
(b). නිවැරදි හැඩ සඳහො එ ට 2 බැගින් 6 8760 876 100
× 1
12 10 12
(c). 730 730 1
(i). මුහුණත් ගණන + ශීර්ෂ ගණන = ෙොර
11
ගණන +2 1

(ii). මු. ග. + 12 = 30 + 2 1 3. (a).𝑥 + 84° = 180° 1

මු. ග. = 20 1 𝑥 = 96° 1
2𝑎 + 84° + 66° = 360° 1
(iii). විංසතිතලය 1 2𝑎 = 210° 1
𝑎 = 105° 1
(d). 8×8 1 𝑦 + 105° = 180° 1
6×8×8 1 𝑦 = 75° 1 (7)
= 384cm 2 1
[අවසොන පිළිතුරට ඒ ය නැත්තම් ලකුණු නැත.] (b). (i).සමපොෙ ත්‍රික ෝණය
සමචතුරස්‍රය
16 සවධි ෂඩොස්‍රය 3
5 1 (ii). නිවැරදි සවිධී ටෙසලාකරණයක් සඳහා
2. (a). ×15
9 1
5 6
×5 1 11
9
2
2 (3) 4. (a). (i). 3 1
3
(ii). 4 1 (2)
2 1
(b). 3 ÷2
11 2 (b). (-4) + (+2) + (+3) 1
35 5
÷ 1 (+1) 1 (2)
11 2
35 2
× 1 (c). 2(𝑥 + 1) − 1 = 5
11 5 2( 𝑥 + 1) = 6 1
14
1 𝑥+1=3 1
11
𝑥=2 1 (3)
3
1 1
11 (d). නිවැරදි ෙළ රූපයට (4)
11
 3 : 2
6 : 3 : 2 1
5. (a). (i). 12 1

12+15+18+10+12+17+16+14 B
(ii). 2
8
114 පිටි : සීනි : බටර්
1
8
14.25 1 3 : 2
(5)
5 : 4
(b). නිවැරදි ත්‍රික ෝණ නිර්මොණයට (4) 15 : 10 : 8 1
3
2 A හි අඩිංගු සීනි ක ොටස =
(c). (හරයට හො ලවයට ලකුණු 1 බැගින්) (2) 11
5
10
B හි අඩිංගු සීනි ක ොටස = (කෙ ටම ) 1
11 33

-3 -2 -1 0 1 2 3 4 3 9
= 1
11 33
6. (a).
9 10
< නිසො B හි පැණි රස වැඩිය 1
33 33
11
සිංඛයො කර්ඛොවට 1
-2 හො 3 නිවැරදිව ෙැක්ීම 1
-2 ත් 3 ත් අතර අඳුරු කිරීම. 1

(b). (i). නිවැරදි ොටිසීය තලය 1

නිවැරදි ලක්ෂය 6 5

(ii). රූපයට 1

(iii). නිවැරදි සමී රණය 1

11

1
7. (a). 2 × 12 × 3 1
18𝑐𝑚2 (ඒ අවශ්‍යකේ.) 1

(b). 2 × 12 × 8 + 2 × 8 × 5 + 2 × 12 × 5 3
192 + 80 + 120
392𝑐𝑚2 (ඒ අවශ්‍යකේ) 1

(c). A
පිටි : සීනි : බටර්
2 : 1