Maths practice for 14 year olds - page 233 of 361
Number of problems found: 7217
- Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z. - Algebra
If x+y=5, find xy (find the product of x and y if x+y = 5) - Intersections
Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 - Calculate
Calculate the surface of the cube if its volume is 64 cm³. - Outfit Combination Count
Milan found out that he could wear pants and a T-shirt in a total of 28 different ways. How many T-shirts and pants can he have? List all options. - Bulb 4
In an electric circuit, a bulb (4.5 V, 0.1 A) and a resistor with resistance 45 Ω are connected to a 4.5 V voltage source. Will the bulb shine at full brightness in this circuit? Support your answer with calculations, and possibly look for solutions so th - Triangle measurements
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter. - Electricity consumption
Calculate how much we will pay for 1 hour of consumed electrical energy if the seller sets a price of 0.126 euros for 1 kWh (all appliances together for 1 hour of work). Table: Appliance ; Power (W) Washing machine ; 2300 W Bulb ; 40 W Refrigerator; 200 W - 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? - 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.
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