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Factorise the following, using the identity `a^2 – 2ab + b^2 = (a – b)^2`. `x^2/4-2x +
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Jan 18, 2022
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8th-maths
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marks3
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The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles. `x^2 – 3x +
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Jan 18, 2022
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Factorise the expressions and divide them as directed: `(3x^2 – 48) -: (x –
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Verify the following: `(p – q) (p^2 + pq + q^2) = p^3 –
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The value of `(1/2^3)^2` is equal to
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To add the numbers given in standard form, we first convert them into numbers with __
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The value of `[1^(–2) + 2^(–2) + 3^(–2)] xx 6^2` is ________
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Large numbers can be expressed in the standard form by using positive
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The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after (a) 12 hours (b) 24
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Fill in the blanks
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The cost of a tape-recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape-recorder before sales tax was charged is
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5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is
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The food labels given below give information about 2 types of soup: cream of tomato and sweet corn. Use these labels to answer the given questions. (All the servings are based on a 2000 calorie diet.) (a) Which can be measured more accurately : the total amount of fat in cream of tomato soup or the total amount of fat in sweet corn soup? Explain. (b) One serving of cream of tomato soup contains 29% of the recommended daily value of sodium for a 2000 calorie diet. What is the recommended daily value of sodium in milligrams? Express
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If 5 persons can finish a job in 10 days then one person will finish it in 2
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A packet of sweets was distributed among 10 children and each of them received 4 sweets. If it is distributed among 8 children, how many sweets will each child
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Kritika is following this recipe for bread. She realises her sister used most of sugar syrup for her breakfast. Kritika has only `1/6` cup of syrup, so she decides to make a small size of bread. How much of each ingredient shall she use? Bread recipe 1 cup quick cooking oats 2 cups bread flour `1/3` cup sugar syrup 1 tablespoon cooking oil `1 1/3` cups water 3 tablespoons yeast 1 teaspoon
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If the area of a face of a cube is 10 `cm^2`, then the total surface area of the cube is
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Find the area of polygon ABCDEF, if AD = 18cm, AQ = 14 cm, AP = 12 cm, AN = 8 cm, AM = 4 cm, and FM, EP, QC and BN are perpendiculars to diagonal
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The volume of a cylinder becomes __________ the original volume if its radius becomes half of the original
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Total surface area of a cylinder of radius h and height r is
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