Maths practice for 14 year olds
At 15 years old, students should be comfortable with core algebra, including solving linear and quadratic equations, inequalities, and systems of equations. They must understand geometry concepts like the Pythagorean theorem, area/volume calculations, and basic trigonometry (sine, cosine, tangent). Proficiency in functions—graphing, domain/range, and real-world applications (e.g., distance vs. time)—is essential. They should also handle statistics and probability, such as analyzing data sets and calculating probabilities. Finally, they ought to apply math to practical scenarios, like budgeting or interpreting charts, while advanced learners may start pre-calculus or logic-based problem-solving.Number of problems found: 7398
- Inflation again
If the value of commodity increases by 85%, what percent should consumption be reduced so that spending increases by only 48%? - A race 2
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by how many meters? - Two sons and man
A man's age is three times the sum of the ages of his two sons. After five years, his age will be twice the sum of the ages of his two sons. Find the age of the man. - Motorboat : current
The ratio of speeds of a motorboat to that of the current of water is 36:5. The motorboat goes along with the current in 5h 10min. Find the time to come back of the motorboat. - Father and son
Age of father is 5 times the age of his son. After 10 years, age of father will be 3 times the age of son. Find the present age of both of them . - Walking speeding
Susan walks from her home to office at 16 km/h, she is late by 5 min. If she walks by 20 km/h, she reaches 10 min before the office time. Find the distance of her office from her house. - Common work 2
Person A works twice as fast as person B. If both of them can together finish a piece of work in 12 days then person B alone can do it in how many days? - 20% percentage
If 20% of A = 50% of B, what percentage of A is B? - Three legs journey
A train runs for 3 h at the speed of 40 km/h and then for 4.5 h at the speed of 60 km/h.Thus it covers 3/5th part of the whole distance. It wants to cover the remaining distance in 4 h, find the average speed of the train for remaining distance. - Stefan
Stefan sells Jin a bicycle for $147 and a helmet for $18. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin? - Bags of sugar
After I had used 1/5 of a bag of sugar and then used 1/4 of what was left, I had 60 g of sugar remaining. How much did I start with? - Enlarged photo
A photograph has been enlarged by a scale factor of 1.75. If the enlarged photo has an area of 675cm squared, what is the area of the original photo? - Isosceles right triangle
If I have a triangle with a right angle 24 inches long on each side of the right angle what is the length of the third side? - The ratio 22
The ratio of two numbers is 5 : 4 and their LCM is 810. Find the sum of numbers . - Velocity ratio 2
The ratio between the rates of walking of A and B is 2:3. If the time taken by B to cover the certain distance is 36 min, then, find the time taken by A - Triangle 97
Triangle DEF with Ê=40°, F=90° EF = 45mm. Measure DE. - Cycloshop
On increasing the price of a cycle by 14%, it becomes Rs 1425. What was its original price? - Daughter and Mom
A mother is seven times as old as her daughter. In 7 years time she will be five times as old as her daughter. How old is each of them? - Equilateral RT
On a right triangle, side a is 12, and side b is 12. What is side c? - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After going up a distance of 10m towards the pole the angle of elevation became 30°.What is the height of the pole?
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