Word-Problems For Grade 9
1. A mother is four times the age of her daughter. In five years, the mother will be
three times the age of her daughter. What is the daughter's present age?
2. The sum of the digits of a two-digit number is 8. If the number obtained by
reversing the digits is 18 more than the original number, what is the original
number?
3. The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find
both numbers.
4. Find three consecutive even integers whose sum is 90.
5. Two trains starting at the same station head in opposite directions. They travel at
rates of 25 km/h and 40 km/h, respectively. If they start at the same time, how
soon will they be 195 kilometres apart?
6. A bus leaves a terminal averaging 40 km/hr. One hour later, a second bus leaves
the same terminal averaging 50 km/hr. In how many hours will the second bus
overtake the first?
7. A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours and
48 minutes longer to cover the same distance against the current. Find the speed
of the boat in still water and the speed of the current.
8. A movie theater charges $7.50 for a child ticket and $10.85 for an adult ticket. If
1,000 tickets were sold for a total revenue of $10,247, how many were child
tickets?
9. A collection of 38 coins consists of 20 paise and 25 paise coins. If the total value
is ₹8.50, how many of each type are there?
10.8 men and 12 boys can finish a piece of work in 5 days, while 6 men and 8 boys
can finish it in 7 days. Find the time taken by one man alone and one boy alone
to finish the work.
11.The length of a rectangle is twice its breadth. If the perimeter is 72 metres, find
the length and breadth.
12.The second angle of a triangle is twice as large as the first. The measure of the
third angle is 20° greater than the first. Find the size of each angle.
13.A river 3 m deep and 40 m wide is flowing at a rate of 2 km per hour. How much
water will fall into the sea in one minute?
1. A mother is four times the age of her daughter. In five years, the mother will be
three times the age of her daughter. What is the daughter's present age?
2. The sum of the digits of a two-digit number is 8. If the number obtained by
reversing the digits is 18 more than the original number, what is the original
number?
3. The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find
both numbers.
4. Find three consecutive even integers whose sum is 90.
5. Two trains starting at the same station head in opposite directions. They travel at
rates of 25 km/h and 40 km/h, respectively. If they start at the same time, how
soon will they be 195 kilometres apart?
6. A bus leaves a terminal averaging 40 km/hr. One hour later, a second bus leaves
the same terminal averaging 50 km/hr. In how many hours will the second bus
overtake the first?
7. A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours and
48 minutes longer to cover the same distance against the current. Find the speed
of the boat in still water and the speed of the current.
8. A movie theater charges $7.50 for a child ticket and $10.85 for an adult ticket. If
1,000 tickets were sold for a total revenue of $10,247, how many were child
tickets?
9. A collection of 38 coins consists of 20 paise and 25 paise coins. If the total value
is ₹8.50, how many of each type are there?
10.8 men and 12 boys can finish a piece of work in 5 days, while 6 men and 8 boys
can finish it in 7 days. Find the time taken by one man alone and one boy alone
to finish the work.
11.The length of a rectangle is twice its breadth. If the perimeter is 72 metres, find
the length and breadth.
12.The second angle of a triangle is twice as large as the first. The measure of the
third angle is 20° greater than the first. Find the size of each angle.
13.A river 3 m deep and 40 m wide is flowing at a rate of 2 km per hour. How much
water will fall into the sea in one minute?
