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Without adding, find the sum of 1 + 3 + 5 + 7 + 9.

इसी पुस्तक के किसी पाठ में है कि कुछ लोगों को कोई खास वस्तु इकट्ठा करने का शौक होता है। कुछ लोग गुड़िया, पुस्तकें, चित्र तो कुछ लोग डाक-टिकट इकट्ठे करते हैं।

(i)यदि तुम्हें भी कोई चीज़ इकट्ठा करने का शौक है, तो उसके बारे में अपने साथियों को बताओ।

(ii)अपने या अपने किसी परिचित के बारे में लिखो जो इस तरह की चीज़ें इकट्ठा करता हो। तुम इन चीज़ों के बारे में लिख सकते हो–

(क) उन्हें कौन-सी चीज़ इकट्ठा करने का शौक है?

(ख) वे इन्हें कहाँ-कहाँ से इकट्ठा करते हैं?

(ग) उनके इस शौक की शुरुआत कैसे हुई?

(घ) वे इकट्ठी की गई चीज़ों को कैसे सँभालकर रखते हैं?

(ङ) इन चीज़ों को इकट्ठा करने और रखने में कौन-कौन सी समस्याएँ होती हैं?

How many planks of size $2m\times 25cm\times 8cm$ can be prepared from a wooden block 5 in long, 70 cm broad and 32 cm thick, assuming that there is no wastage?

Find the degree of following polynomials.



(a) $5x^2-8x^7+3x$

(b) $4y^3-3y+8$

Between $1$ and $31$, $m$ numbers have been inserted in such a way that resulting sequence is an A.P. and the ratio of $7^{th}$ and $(m-1{)}^{th}$ numbers (which are inserted) is $5:9$. Find the value of $m$.

Which of the irrational number does not lie between $\frac{3}{25}$ and $\frac{7}{25}$ ?

Question 6 (v)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

2800

Which two fruits are liked by equal number of students?

The exterior angles obtained on producing the base of a triangle both ways are 104° and 136°. Find the angles of the triangle.

The average marks of eight students increase by $21$ when a new student comes in place of one of them whose marks were $96$. Find the marks of the new student​.

In a triangle ABC, if AP is a median, then which of the following is true?

If a two wheeler is purchased at ₹ 56250 and its value depreciates at the rate of 12% per annum, then its value after two years is

If x is a positive integer such that 2x+12 is perfectly divisible by x, then the number of possible values of x is

How to classify the following as the squares of even or odd natural numbers

841, 144, 900, 169 576 225, 1210000, 729 and 256

The lowest number in each class interval is known as ______ .

A cricketer scored a total of 62 runs in 96 balls. He hits 3 sixes, 8 fours, 2 two and 8 singles. What percentage of the total runs came in:

(i)Sixes

(ii)Fours

(iii)Twos

(iv)Singles

Question 3

The compound interest on Rs 50000 at 4% per annum for 2 yr compounded annually is

(a) Rs 4000

(b) Rs 4080

(c) Rs 4280

(d) Rs 4050

Question 4(iii)

Give expression for the following cases.

p multiplied by 7.

If the interest on Rs. 2400 be more than the interest on Rs. 2000 by Rs. 60 in 3 years at the same rate percent; Find the rate.

Evaluate $4^4\times 4^{-3}\times 4^2\times 4^{-5}$

Which of the following statements are true and which are false

(i) The diagonals of a parallelogram are equal.

(ii) The diagonals of a rectangle are perpendicular to each other.

(iii) The diagonals of a rhombus are equal.

(iv) Every rhombus is a kite.

(v) Every rectangle is a square.

(vi) Every square is a parallelogram.

(vii) Every square is a rhombus.

(viii) Every rectangle is a parallelogram.

(ix) Every parallelogram is a rectangle.

(x) Every rhombus is a parallelogram.

The cost of Maruti 800 in the year 1998 was Rs. 2,50,000. After the end of one year and four months, the price underwent depreciation by 10% p.a. Its new price is:

If 45A is divisible by 9 , then A = __________

Question 50

If x and y are in direct proportion, then (x-1) and (y-1) are also in direct proportion.

$(q+p)$ $\times$ $(q-p)$ = ?

Question 151

Find three repeater machines that will do the same work as a $(\times 64)$ machine. Draw them. or describe them using exponents.

Simplify the following: