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8th Class Mathematics Sample Paper

Mathematics Sample Paper - 5 Total Questions - 30 [Download]

1)

Find cube root of 13824.
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2)

Factorise: \[49{{x}^{2}}-36{{y}^{2}}\]
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3)

Simplify: \[\left( {{2}^{5}}\div {{2}^{8}} \right)\times {{2}^{-7}}.\]
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4)

Using contributive law, find the square of 43.
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5)

Is it possible to have a polyhedron with any given number of faces?
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6)

Add the following :

(a) \[7{{a}^{2}}bc,-3ab{{c}^{2}},3{{a}^{2}}bc,2ab{{c}^{2}}\]

(b) \[5{{x}^{2}}-3xy+4{{y}^{2}}-9,\,7{{y}^{2}}+5xy-2{{x}^{2}}+13\]

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7)

Verify the following : \[-\frac{5}{8}+\frac{3}{5}=\frac{3}{5}+\frac{-5}{8}\]
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8)

The area of a parallelogram is 60 cm2 and one of its altitude is 5 cm. Find length of the corresponding side?
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9)

Factorise the following :

(a) \[{{x}^{2}}+9x+20\]

(b)\[{{p}^{2}}-13p-30\]

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10)

Ramita bought a second hand two-wheeler for Rs. 15,000 and spent Rs. 500 on its repair. She sold it for Rs. 18,600. Find her loss or profit percent.
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11)

Square of \[9x\text{ }-\text{ }7xy\]is :
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12)

Find the square root of 784 by the long division method.
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13)

Find five rational number between.

(a) \[\frac{2}{3}\] and \[\frac{4}{5}\]

(b) \[\frac{-3}{2}\] and \[\frac{5}{3}\]

(c) \[\frac{1}{4}\] and \[\frac{1}{2}\]

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14)

In a fort, 300 men had provisions for 90 days. After 20 days, 50 men left the fort. How long would the food last at the same rate?
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15)

In a two digit number, digit in units place is twice the digit in tens place. If 27 is added to it, the digits are reversed. Find the number.
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16)

If \[\frac{5m\times {{5}^{3}}\times {{5}^{-2}}}{{{5}^{-5}}}={{5}^{12}},\] find m.
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17)

The length, breadth and height of a cuboidal reservoir is 7 m, 6 m and 15m respectively. 8400L of water is pumped out from the reservoir. Find the fall in the water level in the reservoir.
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18)

Construct the following quadrilaterals

LI=4 cm

IF=3cm

TL = 2.5 cm

LF = 4.5 cm

IT = 4 cm

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19)

How many 3 metre cubes can be cut from a cuboid measuring 18 m \[\times \] 12 m \[\times \] 9 m ?
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20)

The area of a rectangular field whose length is twice its breadth is 2450 m2. Find the perimeter of the field.
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21)

If \[x-\frac{1}{x}=9\], then find the value \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\].
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22)

Find the amount which Ram will get on Rs. 4096, if he gave it for 18 months at \[12\frac{1}{2}\] % per annum, interest being compounded half yearly.
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23)

Principal = Rs. 1000, rate = 8% per annum. Fill in the following table and find which type of interest (simple or compound) changes in direct proportion with time period.

Time period 1 Year 2 Years 3 Years

Simple Interest (in Rs.)

Compound Interest (inRs.)

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24)

Find the area of quadrilateral ABCD as shown in the figure.
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25)

Madhulika thought of a number, doubled it and added 20 to it. On dividing the resulting number by 25, she gets 4. What is the number?
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Complete the following table.

Numbers	Associative for
	Addition	Subtraction	Multiplication	Division
Rational numbers	...	...	...	No
Integers	...	...	Yes	...
Whole numbers	Yes	...	...	...
Natural numbers	...	No	...	...

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The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.

(a) In which subject did the student score 105 marks?

(Hint: for 540 marks, the central angle = \[360{}^\circ ).\]

So, for 105 marks what is the central angle?

(b) How many more marks were obtained by the student in Mathematics than in Hindi?

(c) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

(Hint: Just study the central angles).

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(a) Find \[4x\times 5y\times 7z\]

(b) First find 4x x 5y and multiply it by 7z; or first find \[5y\text{ }\times \text{ }7z\]and multiply it by 4x.

(c) Is the result the same? What do you observe?

(d) Does the order in which you carry out the multiplication matter?

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