Maths practice for 14 year olds - page 256 of 362
Number of problems found: 7230
- Smallest Asymmetric Power
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - Cake duration
Four children eat ten cakes in 30 minutes. How many minutes will it take nine children to eat 27 cakes? - Adela number
Adela had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - MO Z9–I–3 - 2017
Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them assembles a grinder four times faster than he disassembles one himself. When they came to the workshop in the morning, several grinders were already assembled there. At 7:00 H - MO Z9–I–2 - 2017
In trapezoid VODY, VO is the longer base. The diagonal intersection K divides segment VD in the ratio 3:2. The area of triangle KOV is 13.5 cm². Find the area of the entire trapezoid. - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were originally at the celebration? - Gear train
A gear train is assembled from three gear wheels. The first has 165 teeth, the second 132 teeth, and the third 231, where the second engages with the first and the third with the second. The first and third do not touch. How many times per minute will all - Target probability
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent. - The ladder
A ladder is 10 m long and reaches a height of 8 m on a wall. How far is the base of the ladder from the wall? - Functions f,g
Find g(1) if g(x) = 3x - x² Find f(5) if f(x) = x + 1/2 - Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - Original price
The shop reduced the car to 85% of the original price. It now costs € 6,375. How many euros was the original price higher? - Winter jacket price
They reduced the winter jacket in the sportswear store by 24% and another 15% from the new price, so it cost 3876 kc. How much did the winter jacket cost before the first discount? - One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions. - Wheel revolutions
The diameter of the motorcycle wheel is 60 cm. How many times does the wheel turn on a track 1,884 km long? - Product calculation the product of the sum and difference of the numbers -2.3 and 4.7
- Points on line segment
Points P and Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance between point A and the midpoint of segment QB. - Ladder slope What is the slope of a ladder 6.2 m long and 5.12 m in height?
- Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Quadrangular prism
Calculate the volume and surface area of a regular quadrilateral prism 35 cm high and the base diagonal 22 cm.
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