HARD

10th ICSE

IMPORTANT

Earn 100

An aeroplane flying with a wind of $30 km / h$ takes $40 \min$ less to fly $3600 km$ than what it would to have taken to fly against the same wind. If the aeroplane's speed of flying in still air is $k km / h$ , find the value of $k$ .

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Important Questions on Quadratic Equations in One Variable

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Topic Exercise>Q 15

A piece of cloth costs

₹ 300

. If the piece was

5 cm

longer and each metre of cloth costs

₹ 2

less, the cost of the piece would have remained unchanged. How long is the original piece of cloth and what is the rate per metre?

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Topic Exercise>Q 16

Some students planned a picnic. The budget for food was

₹ 480

. As eight of them failed to join the party, the cost of the food for each member is increased by

₹ 10

. Find how many students went for the picnic?

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Topic Exercise>Q 17

The hotel bill for a number of persons for overnight stay is

₹ 4800

. If there were

4

more persons, the bill each person had to pay, would have reduced by

₹ 200

. Find the number of persons staying overnight.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Topic Exercise>Q 18

The hypotenuse of a right triangle is

25 cm

. The difference between the lengths of the other two sides of the triangle is

5 cm

. Find the lengths of these sides.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Topic Exercise>Q 19

If the perimeter of a rectangular plot is

68 m

and length of its diagonal is

26 m

, then find its area in

m^{2}

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Topic Exercise>Q 20

A grassy land is in the shape of a right triangle. The hypotenuse of the land is

1 m

more than twice the shortest side. If the third side is

7 m

more than the shortest side, find the sides of the grassy land.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Topic Exercise>Q 21

₹ 7500

were divided equally among a certain number of children. Had there been

20

less children, each would have received

₹ 100

more. Find the original number of children.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 1

Solve the following quadratic equations by factorisation method $(2 x + 1) (x + 3) + 3 = 0$ .

An aeroplane flying with a wind of 30 km/h takes 40 min less to fly 3600 km than what it would to have taken to fly against the same wind. If the aeroplane's speed of flying in still air is k km/h, find the value of k.

Important Questions on Quadratic Equations in One Variable

Learn and Prepare for any exam you want !

An aeroplane flying with a wind of $30 km / h$ takes $40 \min$ less to fly $3600 km$ than what it would to have taken to fly against the same wind. If the aeroplane's speed of flying in still air is $k km / h$ , find the value of $k$ .