Maths practice for 14 year olds - page 332 of 375
Number of problems found: 7492
- Triangle SSA
Construct a triangle ABC if |AB| = 5cm va = 3cm, CAB = 50 °. It is to create the analysis and construction steps. - Painter
How many euros will we pay for repainting the room-shaped cuboid with a length of 4.5 meters, a width of 2.5 meters and a height of 3 meters, if for one m² with paint, we pay € 1.5? - Motion 2
At 10 o'clock started car from place A at speed at 90 km/h, twenty minutes after starting another car from place B at a 60 km/h speed. The distance between places A and B is 120 kilometers. What time and where do they meet? - Vacation
Parents are piggybacking their children on vacation to their grandmother and grandfather in a city that is 150 kilometers away. They agreed to meet halfway. Parents will travel at 90 km/h, and grandmother and grandfather will travel at 60 km/h. Parents de - Cars motion
From A point car starts at the speed of 90 km/h. Against it departs from point B at the same time another car at 60 km/h. How long and where do they meet if the distance between A and B is 180 km? - Three friends
Divide 570 euros among three friends so that the first gets 50 euros less than the second and the third twice more than the first. How many euros will everyone get? - Scouts
Three scouts went on a three-day trip. On the second day went 4 km more than the first day. The third day went two times less than the first day. They went along 54 km. How many kilometers went every day together? - Pytagoriade
Two fifth-grader teams compete in math competitions - Mathematical Olympiad and Pytagoriade. Out of 33 students in class 5A, 22 students competed in at least one of the competitions. Students who competed only in the Pytagoriade were twice as many who jus - The book
If you read p pages daily, you will read the book for 24 days. If you read ten pages each day more, you would read a book in 16 days. How many pages have the book? - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Football league
There are 16 teams in the football league. How many different sequences of results may occur at the end of the competition? - Annual income
The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean. - Bath salts
Bath salt A weighs 900 grams and costs 36,40 CZK. Bath salt B weighs 1000 grams but costs 85 CZK. How much is a bath salt A cheaper than B salt? - Grandson and granddad
Grandson with Grandpa counted how many years they had together. Their product is 365. How many years is the sum of their years? - Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Brass tube
The outer perimeter of the brass tube (ρ = 8.5 g/cm³) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder. - Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 50 cm) is 43 cm? - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross? - Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long.
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