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During school hours, Neha finished $73\%$ of her homework and Minakshi completed $\frac{5}{8}$ of her homework. Who must finish a greater per cent of homework ?

Question 11

x exceeds 3 by 7, can be represented as

(a) x + 3 = 2

(b) x + 7 = 3

(c) x - 3 = 7

(d) x - 7 = 3

Find the angles x,y and z in the given parallelogram. [3 MARKS]

Question 2 (b)
You want to show that $\Delta ART\cong \Delta PEN$
If it is given that $\angle T=\angle N$ and you are to use SAS criterion, you need to have:
i) RT = and ii) PN =

Find the area of the parallelogram whose side is 3m with an altitude of $\frac{3}{8}m$. Express your answer up to 3 decimals.

In the figure, OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If $DE=2\sqrt{5}$ then find the area of the rectangle.

Two cars started moving from a point, one towards north at 40 km/hr & other towards East at 30 km/hr. The shortest distance between them after 2 hours in km is ___

What is the formulae of probability

if Rs.160 amounts to Rs.166 in 8 months,find to what it will amount in 1 year at the same rate of interest ?

Question 7 (ii)

Rewrite the following rational number in the simplest form:
$\frac{25}{45}$

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the center of the fields. If the width of each road is 3 m, find:

The area covered by the roads

Find the value of $\frac{9^3}{3^{-6}}$.

The line graph below shows people in a store at various times of the day. How many people are there in the store at 2:30 pm?

Question 5
ABCD is a quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)?

Question 1 (iv)
Find the value of unknown x in the following isosceles triangle:

Question 4(iv)
Write the equation for the following statement:
One-fourth of a number x minus 4 gives 4.

Question 1(b)
Write down a pair of integers whose:
Difference is -10

The question was What is the additive inverse of 2/3? The options were

a) 3/2

b) 2

c) -2/3

d) 1

per my reasoning the answer is (c). But the solution is given as (d) i.e 1 and the explanation is given as ((3/2)^-1 ) ^-2 = ((3/2)^-1 ) ^-2 =94

Please help me to understand the solution and why my answer is wrong.

Subtract the sum of $12ab-10b^2-18a^2$ and $9ab+12b^2+14a^2$ from the sum of $ab+2b^2$ and $3b^2-a^2.$

What is the probability of getting a head on tossing an unbiased coin?

If the base of a triangle is 8 cm and height is 4 cm, what is its area?

P added to 4 gives 5 can be expressed as

A triangle and a parallelogram have the same base and same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram.

If we construct a triangle with the given measurements XY = 6 cm, YZ = 6 cm and angle XYZ = 70°. The angles of the triangle opposite to the equal sides are:

In the options given below, there are a few terms picked from an algebraic expression in x and y.
Which of them is/are variable?

How many envelopes can be made out of a sheet of paper 100 cm by 75 cm, supposing 1 envelope requires 20 cm by 5 cm piece of paper?

In the given figure two parallel lines l,m are intersected by a tranversal. If $\angle 4={45}^{\circ }$ then $\angle 3$ and $\angle 6$ are

The solution set for the given inequations $8<2x-4$ and $3x+1<46x\in R$ on the number line is ?

If I toss a coin once and it lands on tails, can I say that the probability of getting tails on a toss is 1 and the probability of getting heads is 0?

A triangle of sides AB = 5 cm, BC = 4 cm and AC = 3 cm is constructed. Then $△$ABC is

The number of ways in which 48 can be expressed as a product of it primes is (not considering the order in which these primes occur)

What is the value of $x$ for which the following equation is true?
$\frac{1}{x+3}=\frac{3}{4x}$

How will you deal with the following items while preparing for the Bombay Women Cricket Club, its income and Expenditure account for the year ending 31.03.2008 and its balance sheet as on 31.03.2008

$\begin{array}{ccc}\text{Head of Accounts}& \text{(Rs)}& \\ \text{(a) Donation received during the year of the construction of Permanent}& & \\ \text{Pavillion}& 12,25,000& \\ \text{Expenditure incurred up to 31.03.2007 on its construction}& 10,80,000& \\ \text{Total estimated expenditure on construction of Pavillion Being~}& 25,00,000& \\ \text{(b) Tournament Fund}:& & \\ \text{Balance as on 01.04.2006}& 10,700& \\ \text{Subscriptions for tournament received during the year}& 65,800& \\ \text{Expenditure incurred on conduction tournaments during the year}& 72,400& \\ \text{(c) Life membership fee received during the year}& 28,000& \end{array}$

Perimeter is valid only for

In the figure given below, l and m are two parallel lines. Which of the following statement is true?

Find the value of the angle which is complementary to itself. [1 MARK]

The relationship between velocity(v), acceleration(a) and time(t) is given by,
a = $\frac{v}{t}$.
Find the value of acceleration if
$v=175m/sandt=25s?$

A certain mixture contains gases according to the following proportions. Name the first two gases obtained after they are arranged in the decreasing order of their content.

Find the sum of $\frac{1}{2}$ and $\frac{1}{3}$ .

The three angles $(5x+4{)}^{\circ }$, $(x-2{)}^{\circ }$ and $(3x+7{)}^{\circ }$ forms a straight angle.

Find the value of $x$.