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: 6935
- Elimination method
Use the method of elimination to solve the following simultaneous equations. 5a − 2b = 14 2a + 2b = 14 - At midnight
The outside temperature at midnight was 3.4 °C. The temperature then changed at a constant rate of −0.78 °C per hour for 8 hours. What was the outside temperature at 8:00 AM? - The product 19
The product of two consecutive positive integers is 306. Find the integers. - Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added? - Reading newspaper
40% of people read newspaper X, 50% read newspaper Y, and 10% read both newspapers. What percentage of people read neither newspaper? - Inflation again
If the price of a commodity increases by 85%, by what percentage 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, by how many metres will C beat B? - 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 man's current age. - Motorboat : current
The ratio of the speed of a motorboat to that of the current is 36:5. The motorboat travels downstream in 5 hours and 10 minutes. Find the time for the motorboat to return upstream. - Father and son
The age of a father is 5 times the age of his son. After 10 years, the age of the father will be 3 times the age of the son. Find the present age of both of them. - Walking speeding
Susan walks from her home to work at 16 km/h and arrives 5 minutes late. If she walks at 20 km/h, she arrives 10 minutes early. Find the distance from her home to her workplace. - Common work 2
Person A works twice as fast as person B. If both of them together can finish a piece of work in 12 days, how many days would person B alone take to do it? - 20% percentage
If 20% of A = 50% of B, what percentage of A is B? - Three legs journey
A train runs for 3 hours at 40 km/h and then for 4.5 hours at 60 km/h, covering 3/5 of the total distance. It needs to cover the remaining distance in 4 hours. Find the average speed required for the remaining distance. - Stefan
Stefan sells Jin a bicycle for $147 and a helmet for $18. The total cost to Jin is 150% of what Stefan originally spent to buy the bike and helmet. How much did Stefan spend originally? How much profit 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 675 cm², what is the area of the original photo? - Isosceles right triangle
If I have a right triangle with each leg on either side of the right angle measuring 24 inches, what is the length of the hypotenuse? - The ratio 22
The ratio of two numbers is 5:4 and their LCM is 800. Find the sum of the two numbers. - Velocity ratio 2
The ratio of the walking speeds of A and B is 2:3. If B takes 36 minutes to cover a certain distance, how long does it take A?
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