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Given below are the entries in a saving bank a/c pass book:

Calculate the interest for the six months Feb to July at 4 ½ % p.a. on minimum balance.

If $a^{n+2}$ = $a^{2n-1}$, the value of n is :

True or false?

(a) The equation of the x-axis is x = 0.

(b) The line x = 4 is parallel to y-axis

(c) The line y = 8 is perpendicular to x-axis.

(d) The lines x = y and x = − y are perpendicular to each other.

(e) The lines x = 9 and y = 9 are perpendicular to each other.

(f) The graph of y = x² is a straight line.

(g) The line y = 3x + 4 does not intersect x-axis.

(h) In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.

Use suitable identities to find the following products:

(i) (ii)

(iii) (iv)

(v)

Prove that if a number is trebled then its cube is 27 times the cube of the given number.

Use the tables below to
draw linear graphs.

(a) The number of days a hill side city received snow in different
years.

Year	2003	2004	2005	2006
Days	8	10	5	12

(b) Population (in thousands) of men and women in a village in
different years.

Year	2003	2004	2005	2006	2007
Number of men	12	12.5	13	13.2	13.5
Number of women	11.3	11.9	13	13.6	12.8

In a small city, the forest department tried conducting a survey for two types of trees in year 2005, 2008 and 2011. The data obtained is shown below in the bar graph.

The year in which the number of pine trees is more than the oak trees is:

A student wants to construct a quadrilateral ABCD with the measurements AB = 3cm, BC = 4cm, CD = 4.5cm, AD = 2cm and BD = 6cm but he could not construct it .What could be the reason?

A fort had provisions for 150 men for 50 days. After 15 days, 25 men left the fort. How long will food last at the same rate for remaining men?

Construct the following quadrilaterals,

(i) Quadrilateral DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

(ii) Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°

Find the value of the square root of $({26}^2-{24}^2)\times 4$.

Question 54

State whether the following statement is true or false:

​​​​​​​The areas of any two faces of a cuboid are equal.

Match the following with the result of their multiplication.

Question 43

Two quantities x and y are said to vary directly with each other if for some rational number k, xy =k.

Which of the following expressions are binomials with 3 variables?

An employee spends 20% of his income on scooter petrol, 2/5 of the salary on house rent and the balance on food. If he spends Rs.4000 on petrol, then what is the expenditure on house rent?

Find x in $x^2-9=72$.

The circle $x^2+y^2=4$ cuts the line joining the points A(1, 0) and B(3, 4) in two points P and Q. Let $\frac{BP}{PA}=\alpha$ and

$\frac{BQ}{QA}=\beta$. Then $\alpha and\beta$ are roots of the quadratic equation

Question 64

In the following question, state whether the statement is True (T) or False (F):

The numerical coefficient of the term $-6x^2{y}^2$ is - 6

Find the cuberoot of 4741632 by estimation

sindh is 40 years old and smita is 20 years old. how many years ago was sindhu 3 times as old as smita

Rate of interest is R% per annum, now if the interest is compounded half yearly the rate would be _____

If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q and C ↔ R, then symbolically, it is expressed as

$(11111111{)}^2$ equals:

Question 6

The following table gives the distribution of students of two sections according to the marks obtained by them:

$\begin{array}{cccc}\text{Section A}& & \text{Section B}& \\ \text{Marks}& \text{Frequency}& \text{Marks}& \text{Frequency}\\ 0-10& 3& 0-10& 5\\ 10-20& 9& 10-20& 19\\ 20-30& 17& 20-30& 15\\ 30-40& 12& 30-40& 10\\ 40-50& 9& 40-50& 1\end{array}$

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.

A lorry carrier measures $10\text{m}\times 7\text{m}\times 5\text{m}.$ Find the maximum number of wooden crates each measuring $2\text{m}\times 1\text{m}\times 0.5\text{m}$ that can be transported inside the lorry.

1. 14

If I divide 487 by 100 , The remainder is ___.

Which number must be substracted from the numerator and denominator of the fraction 9/17 to make it equal to 1/3?