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Problems Based On Quadratic Equations Mathematics - Problems Based On Quadratic Equations

ICSE - STD 10 - Mathematics (ICSE - English Medium). 50 questions in this chapter.

Question types

Problems Based On Quadratic Equations question types

50 questions across 3 question groups — pick any mix to generate a Mathematics paper with step-by-step answer keys.

50
Questions
3
Question groups
5
Question types
Sample Questions

Problems Based On Quadratic Equations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[3 marks sum]3 Marks
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
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Q 2[3 marks sum]3 Marks
Out of a group of Swans, $3$ and half times the square root of the total number are playing on the shore of a pond. The two remaining ones are swinging in water. Find the total number of swans.
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Q 3[3 marks sum]3 Marks
One fourth of herd of camel was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining $15$ camels were seen on the bank of a river. Find the total number of camel.
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Q 4[3 marks sum]3 Marks
A shopkeeper buys a number of books for $Rs.840.$ If he had bought $5$ more books for the same amount, each book would have cost $Rs.4$ less. How many books did he buy?
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Q 5[3 marks sum]3 Marks
The speed of a boat in still water is $15km/ hr.$ It can go $30km$ upstream and return downstream to the original point in $4$ hours $30$ minutes. Find the speed of the stream.
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Q 6[5 marks sum]5 Marks
A two digit number is such that its product of its digit is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
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Q 7[5 marks sum]5 Marks
The hypotenuse of a right-angled triangle is $17\ cm$. If the smaller side is multiplied by $5$ and the larger side is doubled, the new hypotenuse will be $50 \ cm$. Find the length of each side of the triangle.
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Q 9[4 marks sum]4 Marks
The difference of the square of two natural numbers is $45.$ The square of the smaller number is $4$ times the larger number. Determine the numbers.
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Q 10[4 marks sum]4 Marks
The sum of the square of $2$ positive integers is $208$. If the square of larger number is $18$ times the smaller number, find the numbers.
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Q 11[4 marks sum]4 Marks
A two digit number is such that the product of the digits is $14.$ When $45$ is added to the number, then the digit are reversed. Find the number.
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Q 12[4 marks sum]4 Marks
The angry Arjun carried some arrows for fighting with Bheeshm. With half the arrows, he cut down the arrows thrown by Bheeshm on him and with six other arrows, he killed the chariot driver of Bheeshm. With one arrow each, he knocked down respectively the chariot, the flag and the bow of Bheeshm. Finally, with one more than $4$ times the square root of arrows, he laid below Bheeshm unconscious on the arrow bed. Find the total number of arrows Arjun had.
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