SESSION ENDING EXAMINATION Practice Exam-2
Grade: VIII Subject: Mathematics Max. Marks: 80 Duration: 180 +15 Minutes
General Instructions
All questions are compulsory
The duration of the paper is: 3 hrs 15 min (Reading time 15 min)
Read all the questions carefully before attempting.
The question paper consists of 40 questions divided into 4 Sections A, B, C, D
Section- A comprises 20 questions of I marks each.
Section- B comprises 8 questions of 2 marks each.
Section-C comprises 8 questions of 3 marks each
Section-D comprises 4 questions of 5 marks each.
SECTION-A (1 x 20 = 20)
1. Simplify the expression, (25x8 y9 z6) × (-2xyz)²
(a) 50x9 y10 z6 (b) 100x10 y11 z7 (c) -100x10 y11 z7 (d) -50x9 y10 z6
2. 70 x ( ½ )0 x 50
1 (b) 0 (c) 35 (d) (1/35)
3. A rhombus is also a —
a) Square b) Rectangle c) Parallelogram d) Trapezium
4. The ratio of radii of two cylinders is 1: 2. If the ratio of their heights is 2: 1, then the ratio of their volumes will be __
a) 1: 2 (b) 1: 4 (c) 2: 1 (d) 4: 1
5. Two cubes each of edge 5 cm are joined end to end. The surface area of the resulting cuboid is
(a) 125 cm² (b) 240 cm² (c) 250 cm² (d) 500 cm²
6.The value of 25x³y²z for x=1, y=2 and z=3 is—--- .
600 (b) 500 (c) 900 (d) 300
7. If 256 x 4² = x, then the value of is ___
(a) 256 (b) 196 (c) 64 (d) 1224
8. The measure of each angle of a convex quadrilateral is ___
(a) less than 180° (b) more than 180° (c) equal to 180° (d) none of these
9.One sixth of a number when subtracted from the number itself gives 25. The number is __
(a) 30 (b) 32 (c) 35 (d) 28
10.If 5(x-3) - 4(x-2) = 0, then the value of x is ___
(a) x = 7 (b) x= 8 (c) x= - 8 (d) x= - 7
11. Two adjacent angles of a parallelogram are equal, the measure of each angle is __
12. Is (1,2,3) a pythagorean triplet?
13. Find the product of (-x+a) (-x+b).
14.Find the value of (30 + 4-1) × 22
15. Find k if 0.7k – 1.9 = 0.3 ( k + 14 )
16. If 12 m uniform iron rod weighs 42 kg, then the weight of 5m rod of the same type will be __.
17. Raja types 108 words in 6 minutes. How many words would he type in half an hour?
18. Find the area of a square with side 5x²y .
19. Factorise x4 – 1
20. The quotient when 12xy(9x² - 16y²) is divided by 4xy (3x+ 4y is —--
SECTION-B (2x8=16 marks)
21. Subtract 1+x2 +y2 from the sum of x2 - y2 and 1-x² + y²
22. Find the number of sides of a regular polygon, the sum of whose interior angle is 10 right angles.
23. The dig2its of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?
24. Write a Pythagorean triplets using when the smallest member is12 .
25. Two buildings are 20 m and 25 m high. If the buildings are 12 m apart, find the distance between their tops.
26.Evaluate
27. The scale of a map is given as 1:30000000. Two cities are 4 cm apart on the map. Find the actual distance between them.
28. Factorise: (25a2 + c² +10ac ) - 49b²
SECTION-C (3x8=24 marks)
29. The diagonals of a rhombus are in the ratio 3:4 if its perimeter is 40cm, find the length of the diagonals of the rhombus.
30. Solve:
31. A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.
32. Simplify: 3x² +4x (3x-4y)-20xy
33.The height and radius of a cylinder are in the ratio 7:5 and its volume is 550cm3.Find the radius of its base.
34. Evaluate :
35. Simplify :x4 + 4+3x²
36. (a) A labourer is paid Rs 806 for 13 days of work. If he receives Rs. 1798, for how many days did he work?
A milk man mixes 2 litres of water in 11 litres of milk. What is the amount of milk required if he wants to add 13 litres of water to it?
SECTION-D (5x4=20 marks)
37. (i) The area of a square field is 8464 sq.m. A man takes 3 rounds of this field. Find the distance covered by him (2 marks)
(ii)Simplify: 35 x²(5x³ - 4) + 5x5(3 marks)
38. (i)Find the angle measure x in the following figure. x:(2 marks)
(ii) A cubical box with lid has a length 45cm find the cost of painting inside and outside of the box at Rs.150 per m2. (3 marks)
39. (i) (2 marks)
(ii) A 5m 60cm high pole casts a shadow of length 3m 20cm.
a) Find at the same time the length of a shadow cast by another pole 10m 50cm high.
b) Find the height of the pole if the length of the shadow is 6m 40cm. (3 marks)
40.(i) Factorise: 16a2 – 25b2 + 60 bc – 36c2 (3 marks)
(ii) Evaluate : ( 2 marks)
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