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: 7378
- 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?
- Four plates
Four equal maximum sized circular plates are cut off from a square paper sheet of area 784 sq cm. Calculate the circumference of each plates.
- Building shadow
When Sun's altitude 30° above the horizontal, then find the length of the shadow of a 50 m high of a building .
- Journey 9
A person covers half of his journey at 40 km/h and rest of his 20 km/h. Find his average speed of the whole journey.
- Lamp shade
A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of bases 3 in. and 7 in. respectively. How much material is used in its construction if ¼ in. is allowed for the seam.
- Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.
- Three in a ratio
If A is 40% more than B, B is 20% less than C then, find the ratio A : C.
- School - boys:girls
In a school 10% of boy is equal to the 1/4 of number of girls and 10% of the number of girls is equal to the 1/25 of boys. Find the ratio between the number of boys and girls.
- Mother and daughter 6
A mother is six time as old as her daughter. In 6 years time she will be four times as old as her daughter . How old is each of them?
- A solid
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid .
- Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 liters of water is added, the ratio of alcohol and water becomes 3:4. Find the quantity of alcohol in the mixture.
- Equation of the line
Find the equation of the line through (1, 2) with slope 3.
- The profit 6
A man sells an article at a profit of 20%. If he had bought it at 20% less and sold for $5 less, he would have gained 25%. Find the cost price of the article.
- A train 7
A train overtakes two persons. They are walking in the same direction as the train at the rate of 2 km/hr and 4 km/hr. The train passes them completely in 9 and 10 seconds respectively. Find the length of the train.
- A person 3
A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens that the person should have?
- A train 6
A train covers a distance 10km, 20km, and 30km in 50 kmph, 60 kmph and 90 kmph respectively. Find the average speed of the train (in km/h).
- A pie 16
A pie is divided into 100 guests. Guest 1 gets 1%, guest 2 gets 2% of what left,... and so on. Who gets the largest piece of pie?
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