Math practice for 13 year olds - page 407 of 414
Number of problems found: 8280
- 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? - Expansion
If one side of a rectangle is multiplied by 2 and the other side by 4, by what percentage does the area increase? - 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? - 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? - Map
A forest has an area of 77 ha. What area does it occupy on a map at scale 1:10000? - 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. - The pipeline
How long is a pipe with an outer diameter of 1.4 m if painting it consumed 35 kg of paint? One kilogram of paint covers 9 m². - Raffle
In the pool number from 1 to 109. What is the probability that a randomly selected number is not prime? - 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: ... - Strange x
For what x is true x=19x? - Circumscription
Calculate the radius of the circumscribed circle of a rectangle with sides 3 and 6. Can a circle be inscribed in a rectangle? - 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 - Square
Calculate the area of a square with diagonal 17 cm. - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
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