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A room $5m$ long and $4m$ wide is surrounded by a verandah. If the verandah occupies an area of $22m^2$, find the width of the varandah.
Set up an equation on the basis of the statement given at the end and solve it to find the unknown quantity.
Add $4$ to eight times a number you get $60.$
Calculate the area of the pentagon ABCDE, where AB = AE and with dimensions as shown in Fig.
Image
If milk is available at ₹ $17 \frac{3}{4}$ per litre, find the cost of $7 \frac{2}{5}$ litres of milk.
Ravish and Ravi went for a picnic. Their grandmother gave them a water bottle that contained 5 litres of water. Ravish consumed $\frac{2}{5}$ of the water. Ravi consumed the remaining water.
(i) How much water did Ravish drink?
(ii) What fraction of the total quantity of water did Ravi drink?
Here are the shadows of some $3-D$ objects, when seen under the lamp of an Over$-$head projector. Identify the solid$(s)$ that match each shadow. $($There may be multiple answers for these$.)$
State the number of lines of symmetry for the following figures.
(i) An equilateral triangle
(ii) An isosceles triangle
(iii) A scalene triangle
(iv) A square
(v) A rectangle
(vi) A rhombus
(vii) A parallelogram
(viii) A quadrilateral
(ix) A regular hexagon
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The performance of students in 1st term and 2nd term is as given below. Draw a double bar graph choosing appropriate scale and answer the following:
Subject:EnglishHindiMathsScienceS. Science
1st term:6772888173
2nd term:7065958575
(i) In which subject, has the children improved their performance the most?
(ii) Has the performance gone down in any subject?
A wire is (7x - 3) m long. A length of (3x - 4) m is cut for use. Now, answer the following questions.
(i) How much wire is left?
(ii) If this left out wire is used for making an equilateral triangle, then what is the length of each side of the triangle so formed?
In the given figure $\text{l}\ ||\ \text{m}$ and t is a transversal. If $\angle5=70^\circ$ find the measure of each of the angles $\angle1,\ \angle3,\ \angle4\ \text{and}\ \angle8.$