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: 6361
- Beeps
An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The next time, when they will beep together at the earliest? - A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own. - Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled. - Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
- The average 18
The average age of 5 members of a committee is the same as it was 3 years ago. Because an old member has been replaced by a new. Find the difference between the ages of old and new member. - 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 the salary of a man by 50%, it is increased by 50%. Find the loss or gain percent. - The sum 52 The sum of digits of a two digits number is 10. On interchanging the digit, the number obtained is 54 less than the original number. What is the original number?
- Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole.
- The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides. - Correcting mean
The average of 10 numbers is calculated as 25. It is discovered later on that while calculating the average, one number, namely 36 was wrongly read as 56. Find the correct average. - The ages 3 The ages of A and B are in ratio of 5:4. Three years hence the ratio of their ages will become 11:9. What is the present age of B?
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle. - Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
- Train station
A man walks from his house to station. If he walks at 5 km/h he misses a train by 7 minutes. However, if he walks at 6 km/h, he reaches the station 5 minutes before the departure of the train. Find the distance covered by him to reach the station. - The rhombus (a,d) Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- Two masons Mason A can build a wall in 30 days, while mason B can build it in 40 days. If they build it together and get a payment of USD 7000, what is B's share?
- 128 USD
128 USD is increased by 20 percentage. Determine the new amount. - A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
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