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Using prime factorisation, find which of the following are perfect cubes.
1331
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Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
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Write the Pythagorean triplet whose one of the numbers is 4.
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Using prime factorisation, find the cube roots of 512
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Using prime factorisation, find the cube roots of 2197
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Write two Pythagorean triplets each having one of the numbers as 5.
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By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also find the cube root of the quotient.
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Find the length of the side of a square if the length of its diagonal is 10 cm.
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The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
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Find the area of a square field if its perimeter is 96 m.
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Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?
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A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.
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Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a perfect square.

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What is the sum of all angles of a hexagon?
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How many diagonals does a hexagon have?
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Which of the following is an equiangular and equilateral polygon?
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In a parallelogram PQRS, if ∠P = 60°, then other three angles are ______.
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The sum of angles of a concave quadrilateral is ______.
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Which of the following can never be the measure of exterior angle of a regular polygon?
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The number of sides of a regular polygon whose each interior angle is of 135° is ______.
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