Maths practice for 14 year olds - page 233 of 362
Number of problems found: 7230
- Hemispherical hollow
The vessel's hemispherical hollow is filled with water to a height of 10 cm =. How many liters of water are inside if the hollow's inside diameter is d = 28cm? - Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your - Tea Blend Mixture
A merchant sells a blend of two types of tea at 450 CZK per kilogram. One type costs 900 CZK/kg, and the cheaper type costs 369 CZK/kg. How much of each type is needed for 5 kg of the blend? - CuSO4 mixture
How many grams of solid CuSO₄ must be added to 450 g of a 15% CuSO₄ solution to produce a 25% solution? - The big clock
The hands of a clock stop at a random moment. What is the probability that: a) the hour hand shows a time between 1:00 and 3:00? b) the minute hand is in the same region as the hour hand as described in part a)? c) the clock shows a time between 21:00 and - 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?
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