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Every morning, Michael goes for a jog. He noticed that he is losing weight, as estimated by the equation $y=mx-3$, where $y$ represents the weight loss in kilograms and $x$ represents the number of months. If he has lost $13$ kg in four months, what is the value of $m$?

Question 86 (xvii)

Using suitable identities, evaluate the following:

$(69.3{)}^2-(30.7{)}^2$

When someone says that two angles are supplementary to each other, what does it mean? [1 MARK]

A kid ate 2 biscuits from a pack of 10 biscuits. What fraction of the total number of biscuits is he left with?

The population of a village is 20000. If the annual birth rate is $4\%$ and the annual death rate $2\%$, calculate the population after two years.

If n (P) = 5, n(Q) = 12 and n(PUQ) = 14 then n(P∩Q) =

In the figure given below, if $AB\parallel PQ$. Then, $\angle ACX$ ___ $\angle PRC$.

Sum of measure of exterior angle and interior angle of a vertex on a polyon is

A tea-packet measures $10cm\times 6cm\times 4cm$. How many such tea-packets can be placed in a cardboard box of dimensions $50cm\times 30cm\times 0.2m$?

It is known that a box of 800 electric bulbs contains 36 defective bulbs. One bulb is taken at random out of the box. What is the probability that the bulb chosen is non-defective?

1. 48

Which of the following numbers is not irrational?

Question 93 (iii)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^2-7x+10$

Question 84 (x)

Simplify

$(b^2-49)(b+7)+343$

Which of the following statements demonstrates the identity property of multiplication?

The decimal number 8.524 is equal to:

Evaluate $[1-(1-(1-n{)}^{-1}{)}^{-1}{]}^{-1}$

Question 78(ii)

Harshna gave her car for service at service station on 27-05-2009 and was charged as follows

Rs. 1105.12 for all other services and VAT 12.5%.

Find the bill amount.

Find the square root of $1,764$ using prime factorization method.

Choose the correct option:

The equation of the line which passes through (0, 0) and (1, 1) is ______________.

A. y = x

B. y = − x

C. y = 1

D. x = 1

The length of a rectangle with perimeter $14\frac{1}{4}$ cm is $4\frac{3}{8}$ cm. What is the breadth of the rectangle?

If A and B are the centres of the purple semicircles, what portion of the whole image is shaded red?

Write an equation connecting the average speed and the time of travel of a vehicle travelling 200 kilometres. Is the time inversely proportional to the average speed?

The mass of Mr x is 50kg and the uncertainty in measurement is 1 kg.The mass of Mr y is 55kg and the uncertainty in measurement is 2 kg. Find the difference of their masses with correct uncertainties.

Choose an appropriate singular noun for the blank.

If you were older, you could apply for the entrance ______.

Question 65

Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

Which of the following represents a line graph for the given histogram?

A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?

Which of the following instruments could have been used to carve the given design?

Question 96

Solve the following question:

Using prime factorization, find the square roots of

a) 11025
b) 4761

What is the units digit of the cube of a number whose unit digit is 7?