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Chapter 11 : Algebra
Q. Given Munnus's age to be x years, ca you guess what (x2) may show .can you guess what (x+4) may show? what (3x+7) may show?
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Q. Meena, Beena, and Leena are climbing the step to the hilltop. Meena is at step s, Beena is 8 steps ahead, and Leena 7 steps behind. where are Beena and Meena ? The total number of steps to the hilltop is 10 less than 4 times what Meena has reached. Express the total number of steps using s.
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Q. A cube is a three-dimensional figure as shown in fig. It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula from the total length of the edges of a cube.
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Q. A bird flies 1 kilometer in one minute. Can you express the distance covered by the bird in terms of its flying time in minutes? [use t for flying time in minutes]
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Q. Radha is drawing a dot Rangoli with chalk powder. She has 9 dots in a row. How many dots will her Rangoli have for r rows ? How many dots are there if there are 8 rows ? If there are 10 rows ?
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Q. The length of rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?
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Q. Give expressions for the following cases.
(a) 7 added to p
(b) 7 subtracted fromp
(c) p multiply by 7
(d) p divide by 7
(e) 7 subtracted from m
(f) p multiply by 5
(g) 5 divided by 5
(h) p multiply by 5
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Q. The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre.) Express the diameter of the circle (d) in terms of its radius (r).
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Q. Mother has made laddus. She give some laddus to guests and family members; still 6 laddus remaining. If the number of laddus mother gave away is l, how many laddus did she make?
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Q. Given n students in the class like football, what may 2n show? What may n2 show?
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Q. Leela is Radha's younger sister. Leela is 4 years younger than Radha. Can you write Leela's age in terms of Radha's age? Take Radha's age to be x years.
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Q. Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter T as T.
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Q. The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
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Q. Given Sara's age today to be y years. Think of her age in the future or in the past. What will the following expression indicate? y+7, y3, y+412, y212.
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Q. Which out of the following are expression with numbers only?
(a) y+3
(b) (7×20)8z
(c) 5(217)+7×2
(d) 5
(e) 3x
(f) 55n
(g) (7×20)(5×10)45+p
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Q.

A rectangular box has height h cm. Its length is 5 times its height and breadth is 10 cm less than its length. Express the length and breadth in terms of the height.

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Q. State which of the following are equation (with a variable) given reason and tell your answer. identify the variable from the equation with a variable.
(73)19=8
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Q.

Make up as many expressions with numbers (no variables) as you from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.

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Q. A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has traveled 5 hours, Beespur is still 20 km away. What is the distance from Despur to Beespur ? Express it using v
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Q. Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter Z as Z.
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