Math practice for 13 year olds - page 13 of 434
Number of problems found: 8665
- Visitors 2
Due to decrease in entry fees by 25% the presentation of visitors is increased by 30% . Find the effect of this on the total entry fee? - Two trains 9
A passenger train moving at a speed of 90 km/h leaves a station 6 hours after a goods (freight) train has left the station and overtakes it in 4 hours. What is the speed of the goods train? - Solve 26
Solve percentages question: 75 % of p = 225 - At 5:16
At 5:16, what is the acute angle between a minute hand and an hour hand? - A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude. - Lily spent
Lily had $812. She spent 1/7 of the money on a cupboard and 1/6 of the remaining amount on a dressing table. How much did Lily spend on the dressing table? - Puppy
A family adopts a puppy that weighs seven and 7/8 pounds. Two weeks later, they take him to the vet, and he weighs 12 and 3/16 pounds. How much weight did the pit puppy gain?
- Land cost 2
If a 13/18 plot of land is worth 65000 EUR, what is the value of 3/5? - Find value
Find value of x: x/5+x/2=-1/5-3x/2 - A journey - 2 parts
A part of journey is covered in 1 h 40 min at 75 km/h and the remaining part of it is covered in 2 h 50 min at 60 km/h. Find the total length of the journey and average speed. - Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram. - The speed 3
The speed of a boat in still water is 10 km/h. If the boat goes 37.5 km upstream in 5 h, find the speed of the stream. - Vertical axis
Find the perpendicular distance of the point A=(5,-7) from the y-axis. - The reflection law
AB is a mirror, PQ is the incident ray, and QR is the reflected ray. If angle PQR = 112°, find angle PQA. - Complement and supplement
Find the measure of an angle if 7 times its complement is 10° less than 3 times its supplement.
- An electrician 7
An electrician has to repair an electric fault on a pole 4 meters in height. He needs to reach a point 1 m below the top. What should be the length of the ladder that he could use, when inclined at an angle 60° to the horizontal? - Two discounts 2
A shirt printed with a price of EUR 150 is sold for EUR 105 after two successive discounts. If the second discount is 12.5%, then find the first discount. - Cylinders and cube
How many cylinders of radius 20 cms and height 0.7 metres can be formed by melting a cube of 2.2 metres sides? - An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - The price 8
The price of a commodity has decreased by 10%. What is the percentage by which it should then be increased to get the original price?
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