Maths practice for 14 year olds - page 259 of 368
Number of problems found: 7348
- Iron collecting
Class 7A collected 3.2 tonnes of iron, more than class 7B. Together they collected 6.4 tonnes of iron for the secondary raw material collection. How much did each class collect? - Asymmetric 5407
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - Sweethearts 5403
Four sweethearts eat ten cakes in 30 minutes. How many minutes will 27 cakes last for nine sweets? - 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–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle 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 original to celebrate? - Calculate 5391
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
The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel 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? - Sportswear 5358
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. - Motorcycle 5354
The diameter of the motorcycle wheel is 60 cm. How many times does the wheel turn on a track 1,884 km long? - Difference 5344 the product of the sum and difference of the numbers -2.3 and 4.7
- Alcohol mixture
Three liters of 96 percent alcohol set up a certain amount of distilled water to form 54 percent alcohol. How many liters of distilled water were used? - 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?
- Construct 5333
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 quadrangular prism 35 cm high and the base diagonal 22 cm.
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