Grade - practice problems - page 8 of 912
Number of problems found: 18228
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- Susan 4
Susan went to school for 219 days in a full year. If her attendance is 75%, find the number of days on which the school was open.
- Squares of odd
Find the average of squares of consecutive odd numbers from 1 to 13.
- Petrol and kerosene
What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels in the ratio 4:1, 5:2, and 6:1, respectively?
- Impurity - glycerine
A sample of 50 L of glycerine is found to be adulterated to the extent of 20%. Find how much pure glycerine should be added to reduce impurity percentagerity to 5%.
- System of equations
Solve the following system of equations: 2x-5y=4 5x-3y=4
- Two games
In a class of 65 students, 30 students play cricket, 20 students play tennis, and 10 students play both games. Then, find the number of students who play neither.
- Adam reaches
If Adam walks at 3 km/h, he will reach school 15 minutes late. If he walks at 4 km/h (kmph), he will reach school 15 minutes earlier than usual. What is the distance between school and house?
- Usual speed
If the usual speed is reduced by 5 km per hour, a train takes 2 hours more to cover a distance of 300 km. Find the usual speed.
- Common difference
What is the common difference of an AP (arithmetic progression) in which a₁₈ – a₁₄ = 32
- Two trains 13
Two trains start at the same time toward each other from stations A and B at respective speeds of 36 km/h and 42 km/h. When they meet, it was found that one train has covered 48 km more than the other. Find the distance between the two stations.
- Equation of a line
Find the equation of a line that passes through (1, 3) and is parallel to the line y = - 2x + 4.
- Doubling every day
If you start with 1 euro on day 1 and double your money daily, how many days before you get at least 1 million?
- Milk with water 2
If 50 liters of a mixture contains milk and water in a ratio of 3:2, how much milk must be added to the mixture to have milk and water in a ratio of 9:4?
- Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number.
- Gerda
Gerda is baking. She used 2/3 cup of flour for her pie and 1/3 cup for the cake. How much flour did she use all in all?
- Apple in a basket
Cristan put 8/20 kg of apple into a basket. Cris put 7/20 kg of oranges, and Vlad placed 4/20 kg of mangoes into the same basket. How many kilograms of fruits were put inside the basket?
- Literacy ratio
The town's population is 311250. The ratio of women to men is 43: 40. If 24% of men and 8% of women are literate, then find the total number of literate persons in the town.
- The vertices
The vertices of a triangle are A (-1,3), B (1,-1), and C (5, 1). Find the length of the median through the vertex C.
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