Maths practice for 14 year olds - page 237 of 371
Number of problems found: 7417
- Right triangle
Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'. - 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 - Merchant 6730
A merchant sells a blend of tea. Kilogram for 450 CZK. Another species for 900 CZK. Cheaper for 369 CZK. How much tea must you buy per 5 kg of the mix? - Calculate 6729
Calculate the larger of the two numbers if the smaller number is the third of the larger number, and their sum is 48. - CuSO4 mixture
How many grams of solid CuSO4 do we have to add to 450g of 15% CuSO4 solution to produce a 25% solution? - The big clock
The big clock hands stopped at a random moment. What is the probability that: a) a small hand showed the time between 1:00 and 3:00. b) the big hand was in the same area as a small hand in the role of a)? c) did the hours just show the time between 21:00 - 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 - 5 people
Five people have $122000 each, and one person has $539000. How much should each person (equally) pay? - Calculate
Calculate the surface of the cube if its volume is 64 cm³. - Different 6709
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. - Calculate 6706
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 ; 40W Refrigerator; 200W T - 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? - 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? - Assembled 6697
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 light for 2 hours. How long do 100 such light bulbs consume the same amount of electricity? - Percentage 6695
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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