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Question 4(iii)
Shade
$\frac{3}{5}$ of the squares inbox

Four bells ring at intervals of 6, 7, 8 and 9 respectively. After how many seconds do all the bells ring together?

Each side of a square flower bed is $$2~m~80~cm$ long. It is extended by digging a strip 30cm
wide all around it. Find the area of the enlarged flower bed and also the increase in the area of the flower bed.

1. 1

Subtract the second expression from the first expression:
(1) $4pq-6p^2-2q^2$
(2) $9p^2+2pq-3q^2$.

On comparing 123.040560, 123.040506 and 123.040605, the smallest number is .

The length of a rectangular wooden board is 24 cm. If the area of the board is 192 $c{m}^2$, find its perimeter.

Express 3908.78 in standard form

A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is ratio of the number of pages typed to the number of pages left?

0=16+4(m-6)

Question 3 (ii)

Find the value of the following expression, when x = -1:
-x + 2

Find the values of the angles x, y and z in each of the following:

Is note making good. Should we make notes. Is notemakingn helpful

There are four lines such that, line $l_1\parallel l_2$, line $l_3\perp l_1$ and line $l_4\perp l_3$ then which of the following option(s) is/are true?

If a = 5 and b =3 then find the value of $2^a+5^b$

The table below shows the number of people who had the different ice creams at an ice cream parlour on a Saturday and a Sunday. Select the correct bar graph from the options given below:

Evaluate :
$\left(i\right)\frac{-14}{5}\times \frac{-6}{7}\left(ii\right)\frac{7}{6}\times \frac{-18}{91}\left(iii\right)\frac{-125}{72}\times \frac{9}{-5}\left(iv\right)\frac{-11}{9}\times \frac{-51}{-44}\left(v\right)-\frac{16}{5}\times \frac{-20}{8}$

Rahul was trying to make a paper toy and started with folding an A4 sized paper along the diagonal. He then noticed that there were two triangles formed. Arjun was saying that the two triangles formed are congruent to each other. But then Rahul noticed that they aren’t superimposing on each other, he says that the triangles aren’t congruent.

What are the conditions for a triangle to be congruent?

$(-9\frac{1}{2}-\frac{1}{2})$ = ____

What fraction is 2/5 ?

$(-374)÷(-17)=$ ______.

Which of the following is not the unit of area?

The angle obtained after bisecting an angle is 52^∘

Monochromatic green light of wavelength 5×10^-7 m illuminates a pair of slits 1 mm apart. The separation of bright lines on the interference pattern formed on a screen 2 m away is

There is a park with two triangular jogging tracks. Rahul and his friend Arjun went for jogging. The park had a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing was mentioned about different colored sides.

Both of them started jogging at 7 AM on different tracks. Rahul finished his jogging at 7:40 AM. At what time will Arjun finish his jogging if both of them are jogging at the same speed,given that the triangular tracks are congruent to each other?

The coefficient of term $x^5$ in the expression $x^3-x^5$ is

Estimate the product of 1049 × 351 by rounding off both numbers to nearest 100's.

$(a^2+b^2)\times ({-a}^2+b^2)$ = _________.

Match the following power with their corresponding power.

A tetrahedron has ____ faces.

There are three firms A, B and C in a market. The supply schedule for the market and that for firms A and B is given below. Prepare the supply schedule for firm C.

$\begin{array}{ccccc}\text{Price}& \text{Firm A}& \text{Firm B}& \text{Firm C}& \text{Market supply}\\ 10& 0& 25& & 35\\ 20& 10& 30& & 60\\ 30& 20& 35& & 85\\ 40& 30& 40& & 110\\ 50& 40& 45& & 135\\ 60& 50& 50& & 160\end{array}$

When 5pq($p^2$-$q^2$) is divided by 2p(p+q) and substituting p=3, q=1, the value obtained is ______________.

A group of 36 students went for a picnic. If 6 students can play with 3 balls. How many balls are required for the group of 36 students?
[1 MARK]

Find the ratio of 65 to 105.

Study the information in the following pie charts to answer these questions:

DETAILS OF 1500 EMPLOYEES WORKING IN AN ORGANISATION ON VARIOUS SCALES
Break-up of 1500 Employees Across the Scales

Break-up of 800 Male Employees Across the Scales


Number of male employees working in Scale VI are what percent of total number of employees in that scale ? (rounded off to nearest integer)

Mention all Properties of integers.

Question 1 (vii)

Get the algebraic expression in the following case using variables, constants and arithmetic operations:

Product of numbers y and z subtracted from10.

It is 82% likely that India will win the match means that

Find the value of 'a' satisfying the equation.
a) ${\left(4^2\right)}^a={\left(7^a\right)}^2$.
b) $(2^a{)}^5=2^4\times 4^3$
[4 MARKS]

Vasanti has read 0.25 of the book Robinson Crusoe. If she reads 0.125 of the book each day, how many more days does she need to complete reading the book?

Find the values of the unknowns $x$ and $y$ in the following diagram:

The diameter of a circular park is 14 m. Find the perimeter. ($\pi$= 22/7)