Maths practice for 14 year olds - page 10 of 370

Number of problems found: 7400

Split 207
Split number 207 into three parts such that these are in the arithmetic progression (AP) and the product of two smaller parts is 4623.
Spheres to cone
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
A train 3
A train takes 3 hours to go from one station to another station. If its speed is decreased by 12 km/h then the journey time will increase by 45 min. What is the distance between the two stations?
The remainder
Find the remainder if 17²00 is divided by 18.
A contractor 2
A contractor has to complete his contract in 92 days. 234 men were set to do the work, each of them works for 16 hours/day. After 66 days, 4/7 of the work is completed. How many additional men may be employed, so that the work may be completed in time, ea
Stocks and bonds
Mr. Cash invested $80000 in various stocks and bonds. He earned a 7% dividend on his stocks and 5% interest on his bonds, for a one year profit (both stocks and bonds) of $4,900. How much did Mr. cash invest in bonds?
Product - maximum
If x+y is 12 then what is the maximum value of x×y?
The square - midpoints
The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD.
Work men and women
Two men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man get 90 euros/day, what should be the wages/day of a woman?
Two workers 10
Worker P can do a work 3 times faster than Q and therefore takes 40 days less than Q.Find the time in which P and Q can complete the work individually.
Three 268
Three taps A, B and C fill a tank in 20 min, 15 min and 12 min, respectively. If all the taps are opened simultaneously, how long will they take to fill 40% of the tank?
Gain or loss
A man purchases a certain number of apples at 3/eur and same number of apples at 4/euros. He mixed them together and sells them at 3/euros. What is the gain or loss percent? Write answer as number, loss as negative, gain as positive percent.
Number of sides
Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°.
Descent GP
Determine the 18th term of the GP whose 5th term is 1 and common ratio is 2/3.
Angle of elevation
The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many meters?
Lemon tarts
A baker made some lemon tarts. He sold 40% of the tarts in the morning, 2/5 of the remaining tarts in the afternoon and had 54 tarts left. How many tarts did he bake altogether?
A student 8
A student was asked to write 2⁵ * 9² . By mistake he write 2592. Find the difference.
Two trains 11
Two trains running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds and they cross each other in 23 seconds. Find the ratio of their speeds.
One combine
One combine harvester can harvest a field of corn in 4.5 hours. Another harvester can harvest the same field in 3 hrs. If the farmer uses the two harvesters at the same time. How long will it take to harvest the entire field?
Length measurement
Choose the measurement closest to 60 cm: ...

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