Maths practice for 14 year olds - page 3 of 367

Number of problems found: 7329

A train 6
A train covers distances of 10 km, 20 km, and 30 km at speeds of 50 km/h, 60 km/h, and 90 km/h respectively. Find the average speed of the train in km/h.
A pie 16
A pie is divided among 100 guests. Guest 1 gets 1%, guest 2 gets 2% of what is left, and so on. Who gets the largest piece of pie?
The surface 5
The surface area of a cylinder is 6,140 cm², and the base radius is 25 cm. What is the height?
A building
A building is 125 metres tall and 80 metres long. On a scale drawing, the height of the building is 25 centimetres. What is the length of the building on the scale drawing in centimetres?
A watch
If a watch is sold for $60, there is a loss of 15%. At what price must the watch be sold to make a profit of 2%?
Two types of ore
A total of 42 tonnes of two types of ore is to be fed into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tonnes of copper.
The average 19
The average age of a class was 15 years. When 5 boys with an average age of 12 years and 6 months were admitted, the class average decreased by 6 months. How many students were in the class originally?
The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the Earth's volume is the Moon's volume?
The shadow 2
The shadow of a tower standing on level ground is found to be 40 m longer when the Sun's altitude is 30° than when it is 60°. Find the height of the tower.
Journey trip
A man performs 2/15 of his total journey by rail, 9/20 by bus, and the remaining 10 km by bicycle. What is the total length of his journey?
Salaries - ratio3
The salaries of A, B, and C are in the ratio 2:3:5. If their salaries are increased by 15%, 10%, and 20% respectively, what will be the new ratio of their salaries?
Goods train
A goods train runs at a speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Beeps
An electronic device beeps after every 60 seconds. Another device beeps after every 62 seconds. They beeped together at 10 a.m. When is the next time they will beep together?
A person 2
A person has 2 parents, 4 grandparents, 8 great-grandparents, and so on. Find the total number of ancestors during the ten generations preceding his own.
Angle over circle
In the figure, O is the centre of the circle and AB is tangent to the circle at B. If angle OAB is 28°, find angle AOB. The figure is not to scale.
Angle of inclination
Find the angle of inclination of a ramp that rises 80 cm over a horizontal length of 200 cm.
The average age
The average age of a 5-member committee is the same as it was 3 years ago, because an old member has been replaced by a new one. Find the difference between the ages of the old and new members.
Digits sum
A two-digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. Find the sum of the digits of the number.
Salary up and down
After reducing a man's salary by 50%, it is then increased by 50%. Find the net gain or loss percentage.
The sum 52
The sum of the digits of a two-digit number is 10. When the digits are interchanged, the resulting number is 54 less than the original. What is the original number?

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