Math Word Problems with Solutions and Answers for Grade 10

Grade 10 math word problems with answers and solutions are presented.

A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?

An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?

The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.

The area of the
trapezoid shown below is equal to 270 square units. Find its perimeter and round your answer to the nearest unit.

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If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?

In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?

Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child.
How many toys are there?

A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?

For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.

It takes a boat 3 hours to travel down a river from point A to point
B, and 5 hours to travel up the river from B to A. How long would it
take the same boat to go from A to B in still water?

An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.