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: 7374
- 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? - 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 .
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