Math practice for 13 year olds - page 6 of 428

Number of problems found: 8555

A long train
A train passes a standing man in 6 seconds and a 210 m long platform in 16 seconds. Find the length and the speed of the train.
The profit 5
A man buys 12 pens for €60 and sells them at 5 pens for €30. What is his profit percentage?
Shares
$1,300 are divided among A, B, C, and D such that A/B = B/C = C/D = 2/3.
Spheres - ratios
The surface areas of two spheres are in the ratio 1:4. Find the ratio of their volumes.
Antecedent and consequent
In a ratio equal to 5:8, the antecedent is 40. Find the consequent.
Avg velocity
A car travels 120 km at 60 km/h and another 120 km at 40 km/h. What is its average speed for the entire journey?
Direct proportional
If m is proportional to n and m = 5 when n = 4, what is the value of m when n = 18?
Percent to number
If 75% of a number is 225, what is the number?
Three people
Three people: Peter, Quinton, and Roland. 5 years ago, the average age of P and Q was 15 years. The current average age of P, Q, and R is 20 years. Find the age of R in 10 years.
Common work
39 men can repair a road in 12 days working 5 hours a day. How many days will be required to complete the same work with 30 men working 6 hours a day?
Big school 2
The ratio of boys to girls in a school of 450 pupils is 4:5. When some new boys and girls are admitted, the number of boys increases by 25 and the ratio of boys to girls changes to 9:13. Calculate the number of new girls admitted.
Worker 25
Worker A can complete 2/3 of a certain job in 12 days, and worker B can complete 1/6 of the same job in 4 days. In how many days will they complete the job if they work together?
Three workers 7
The daily wages of workers A, B, and C are in the ratio 7:6:10. If C earns €80 per day, find the daily earnings of A and B.
5 years
5 years ago, a father's age was three times the age of his son. In 5 years' time, the father's age will be twice the age of his son. Find their current ages.
Money exchange
A told B, "If you give me 1/3 of your money, I'll have $50." In turn, B told A, "If you give me $9, we'll have the same amount." Find how much money each of them has.
Solve 29
Solve for x. 8=2x+4
The sum 50
The sum of five consecutive integers is 385. Which one of these five integers is prime?
A ladder 2
A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.
Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades.
One ticket 2
In a lottery, 10000 tickets are sold and ten prizes are awarded. What is the probability of not getting a prize, if you buy one ticket?

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