Maths practice for 14 year olds - page 355 of 362
Number of problems found: 7232
- Cyclist
A cyclist rides 7 km uphill in 46.9 minutes and the same distance downhill in 15.4 minutes, applying the same force to the pedals throughout. How long would it take to cycle the same 7 km on flat ground? - Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10. - Daily average
Calculate the average temperature during the day if the temperature was 24 °C for 14 hours and 14 °C for 10 hours. - Rectangle
In a rectangle with sides 8 and 9, a diagonal is drawn. What is the probability that a randomly selected point inside the rectangle is closer to the diagonal than to any side of the rectangle? - Function
For linear function f(x) = ax + b is f(19)=141; f(20)=168. Calculate m, if f(m) = 2018. - Power
Number left(sqrt(16 * sqrt[ 7 ] (16)) right) 19 can be written in the form 16^x. Find the value of x. - Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Their common chord is 11 cm long. What is the distance between the centres of these circles? - Wire
Each pass of a wire through a drawing die reduces its diameter by 13%. What will the diameter of a wire be after 6 passes, if it starts with a diameter of 6 mm? - Estate
An estate has the shape of a right-angled trapezoid with parallel sides of 35 m and 65 m, and a perpendicular leg of 34 m. Calculate the total length of its fence. - Company
After increasing the number of employees by 9%, the company has 327 employees. How many employees take? - One half
One-half of 2 63 is: ... - Line
Is it true that the lines that do not intersect are parallel? - Product
The product of two consecutive odd numbers is 1295. What are these numbers? - Pipeline
By what percentage does the cross-sectional area of a pipe decrease if the circular cross-section is replaced by a square with the same perimeter? - Circles 2
Calculate the area of the region between the circumscribed circle and the inscribed circle of a triangle with sides 29 cm, 16 cm, and 21 cm. - Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π. - Money
Everyone complains about a lack of money. In reality, there is no shortage of money — only a relative scarcity of goods and services. By what percentage would the prices of all goods and services immediately rise if everyone suddenly had 9 times more mone - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Octagon
We have a square with side 56 cm. We cut the corners to create a regular octagon. What is the side length of the octagon? - Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z?
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