Maths practice for 14 year olds - page 241 of 382
Number of problems found: 7625
- Glass with icecream
We have six kinds of ice cream and five kinds of fruit. If we put three cups of ice cream and two fruits into each glass, how many uniquely decorated glasses can there be? - Non-linear effects
Since 2017, the percentage rate of flat-rate expenses has been increased from 40% to 60% of the total income. The monthly limit (420 euros) has been cancelled and the annual limit of the sum of flat-rate expenses is increased from 5 040 euros to 20 000 eu - Performance
Two masons with the same performance would have been made of plaster for six days. One of them, however, has increased its daily performance by 50%. How long would it take them now to make plaster together? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Board Length Combination Problem
Ujo Vilém needs a board 665 cm long. Without which boards cannot such a board be assembled? Find all options. 256 cm 114 cm 204 cm 198 cm 47 cm 87 cm - Bulbs and electricity
In the sports hall, 875 identical light bulbs are on for 2 hours. How long would 100 such light bulbs need to be on to consume the same amount of electricity? - Container volume percentage
By what percentage is the volume of the first container larger than the volume of the second when the first container has 70 liters and the second 36 liters? - Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm. - Three-digit numbers
How many three-digit numbers do we make from the numbers 4,5,6,7? - Summer camp
Eighty-four children spent their holidays at the summer camp. There were eight fewer boys than girls. What percentage were boys, and what percentage were girls? - Right Triangle Calculations
We know the right angle γ, side b = 14 cm, and height vc = 8.8 cm in the right triangle ABC. Calculate: angle α = angle β = side a = side c = - Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10 cm. Calculate the body volume. - Similar Triangles Angle Sum
Triangles ABC and A'B'C'. They are similar. In triangle ABC, the measures of the two angles are 25 degrees and 65 degrees. Explain why, in triangle A'B'C', the sum of the sizes of the two angles is equal to 90 degrees. - Right Triangle Sides Area
In the right triangle ABC, we know the right angle γ, the area S = 48 cm², and the side a = 8 cm. Calculate: pages b, c - 40% volume 40% volume with 104 uph (units per labor hour) 8 people are working. What is the volume?
- Scientific notation
Approximately 7.5x105 gallons of water flow over a waterfall each second. There are 8.6x104 seconds in 1 day. Select the approximate amount of water flowing over the waterfall in 1 day. - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface area 50% greater than that of the inscribed sphere. - Drawing Similar Triangle
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4 cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long. - Similar Triangle Construction
In triangle ABC, |AB| = 20 cm, |BC| = 10 cm, angle A = 30°. Construct triangle A′B′C′ similar to triangle ABC with a similarity ratio of 0.5. - An oil
An oil drum is cut in half. One-half is used as a water trough. Use the dimensions, length 82cm, width 56cm, to estimate the capacity of the water trough in liters.
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