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Michelle wanted to make a photo frame for her mother's birthday. She took a long part of wood measuring 242 cm and cut it into equal parts of 21 cm each. What is the number of small pieces of wood obtained? Is there any piece of wood left?

The angle in one regular polygon is to that in another as 3 : 2 and the number of sides in first is twice that in the second. Determine the number of sides of two polygons.

Question 58

(a) Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36 cm and find their areas.

(b) Find all the possible dimensions (in natural numbers) of a rectangle with an area of 36 sq cm and find their perimeters.

Five negative integers greater than -10 are:

Question 80

Copy the figure on your notebook and draw a perpendicular to $l$ through P, using (i) set squares (ii) protractor (iii) ruler and compass. How many such perpendiculars are you able to draw?

Convert 2009 paise to rupees and express the result as a mixed fraction.

There are two 'set-squares' in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?

Select the numberline that shows integers between $3$ and $-1$.

A 60 m long train moving on a straight level track passes a pole in 5 s, find the speed of the train and the time it will take to cross a 540 m long bridge.

Question 4: How many lines can pass through:
(a) one given point?

Match each figure to its area.

The ratio of income to savings of a family $11:2$ find the expenditure if the saving is $Rs.1520$.

What is Bar graph?

Question 21

Four regular hexagons are drawn so as to form the design as shown in the given figure. If the perimeter of the design is 28 cm, find the length of each side of the hexagon.

In the given figure, a + b + c + d + e + f = ___.

Question 55

From the given figure of a park find the total area of this park. If one packet of fertiliser is used for 300 sq m, how many packets of fertiliser are required for the whole park?

If in a toss heads is the outcome, Tom should stand inside the figure. When they tossed they got heads and Tom stepped inside the figure. His position in geometrical terms is?

Indian cricket team won 4 more matches then it lost with Sri Lanka. If it won 3/5 oF its matches how many matches did India play?

Just out of curiosity and to pass some time, Jack looked for the population of three nearby cities.

The country which has highest population growth from $1675$ to $2015$ is _________.

A point from which all points on a circle are at the same distance is called the ___ .

4*5+3*4=4*3+5 explain the commutative property

Srivani has invited some friends over, for a pizza. She asked her friends what toppings they would like on their pizza.

What can Srivani most likely conclude from the table?

Which of the following options is equal to $-12$?

Write in an expanded form? Place commas correctly for each of the numbers.

(a) 74836
(b) 574021
(c) 8907010
(d) 99999999
(e) 100001
(f) 545

[3 MARKS]

Find which of the following statements are in proportion:

2:5 :: ?

The degree of the polynomial $4b{c}^3+ab+4abc$ is ___ .

The longest chord of a circle is called a ___ of the circle.

If a = 2 and b = 3. Find the value of $a^b\times b^a$.

The marks obtained in different subject by a student is 50 , 55 , 45 , 65, 85 , 75 . (i) Find the mean

ii) Difference between the highest score obtained by the student and the mean

If each observation of the data is increased by 3, then their mean

In a place, bananas cost Rs. 24 per dozen while 10 apples are sold for Rs 100. Then how many times an apple is costlier than a banana?

ABCD is a parallelogram. What kind of quadrilateral will it be if, AC is perpendicular to BD but not equal to it?

Rounding off 79,045 to the nearest ten thousand gives ___ and to the nearest hundred gives ___ .

Total number of parts in a trianlge is:

If x denotes the digit at hundreds place of the number $\overline{67x19}$ such that the number is divisible by 11. Find possible values of x.

What is the profit or loss % when the cost price is ₹400 and selling price is ₹300?

Which of the following equation(s) is/are linear equation(s) in one variable?

What is the remainder when five digit number 23abc is divided by 5 if 'c' is non-zero natural number not more than 5.

$\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$

$l$Queston 67

Match the following:

$\begin{array}{cccc}& \text{Shape}& & \text{Number of lines symmetry}\\ \left(i\right)& \text{Isosceles triangle}& \text{(a)}& 6\\ \left(ii\right)& \text{Square}& \text{(b)}& 5\\ \left(iii\right)& \text{Kite}& \text{(c)}& 4\\ \left(iv\right)& \text{Equilateral triangle}& \text{(d)}& 3\\ \left(v\right)& \text{Rectangle}& \text{(e)}& 2\\ \left(vi\right)& \text{Regular hexagon}& \text{(f)}& 1\\ \left(vii\right)& \text{Scalene triangle}& \text{(g)}& 0\end{array}$

If the product of two numbers is $1250$ and LCMis $10$, so find theHCF.

A father wants to divide 1800 rupees among his sons in the ratio of their ages. One of his sons is 12 years old while the other is 15 years old. Their respective shares would be

The difference of two integers is 56 . If the smaller one is -87, then find the larger number.

I am the fifth multiple of the LCM of 2 and 7 what number