Math practice for 13 year olds - page 13 of 422

Number of problems found: 8422

Increase and decrease
A number is first increased by 20% and the resulting number is then decreased by 10%. Find the overall change in the number as percent.
Greatest number
What is the greatest number that will divide 62, 78, and 139, leaving remainders 2, 3, and 4, respectively?
Secondary 5
Secondary Middle School has 1200 students. Each student takes 5 classes a day. Each teacher teaches 4 classes. Each class has 30 students and 1 teacher. How many teachers are there at Secondary Middle School?
Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD?
Five percents
What is 5% written as a decimal?
The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
A thief
A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr . How far the thief will have run before he is ove
The price 9
The price of sugar is increased by 25%. Find by how much percent a family must reduce their consumption so that their expenditure may increase only by 10%.
Two parts of a run
Adam can cover a certain distance in 1 hour 24 min by covering two-thirds at 4 km/hr and the rest at 5 km/hr. Find the total distance.
Percentages 14
If 20% of a number is 40, what is 30% of the same number?
Bus vs train 2
The average speed of a bus is three-fourths the average speed of a train. The train covers 240 km in 12 hours. How much distance will the bus cover in 7 hours?
Same expenses
If the price of tea increases by 20%, what percent must the consumption be reduced to keep the expense the same?
The election
Three candidates, Adam, Bibiana & Cindy, contested an election and received 1800, 3300, and 3900 votes, respectively. What percent of the total votes did Adam get?
Two trains 10
Two trains of lengths 75 m and 95 m are moving in the same direction at 9 m/s and 8 m/s, respectively. Find the time taken by the faster train to cross the slower train.
Girls and boys
In a class of 50 there are 23 girls and 27 boys, what percent are a. Girls b. boys
A car 10
A car covers a distance of 200 km in 2 h 40 min whereas a jeep covers the same distance in 2 h. What is the ratio of their speeds?
A fruit 4
A fruit seller had some apples. He sells 40% apples and still has 420 apples. How many apples originally he had?
Pole2
4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm is still in the mud. Find the full length of the pole.
Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey.
Consecutive odd numbers
Find three consecutive odd numbers whose sum is 93.

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