Maths practice for 14 year olds - page 319 of 375
Number of problems found: 7492
- Rectangle dimensions
The circle's radius circumscribed by the rectangle is 5 cm, and one side of the rectangle is 6 cm long. Calculate the length of the other side and the area of the rectangle. - Diagonals in diamons/rhombus
Rhombus ABCD has a side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal. - Diamond side
The diagonals of the diamond are 18 cm and 14 cm long. Calculate the length of the diamond side. - Banknote count
Martin bought goods in the store for 260 CZK. He paid with a thousand CZK crowns. The saleswoman returned 18 banknotes and coins worth CZK 10 and CZK 50. How many of each value were there? - Two numbers
We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers. - Disinfecting solution
How much distilled water is necessary to pour into 500 ml of 33% hydrogen peroxide to obtain a 3% disinfecting solution? - Saving
Paul saves 155Kč in 46 2 Kc and 5Kc coins. How much saved 2Kc and 5Kc coins? - The ditch
Ditch with a cross-section of an isosceles trapezoid with bases 2m and 6m deep 1.5m. How long is the slope of the ditch? - Four classses
Students of all 7, 8, and 9 classes in one school may take up 4, 5, 6, and 7 abreast, and nobody will be left. If there are always four classes in each grade, what is the average number of pupils in one class? - Forth and back
The car drives from point A to point B at 78 km/h speed and back at 82 km/h. If I went there and back at a speed of 81 km/h, the journey would take five minutes less. What is the distance between points A and B? - Complete construction
Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of the legs. - Reducing number
Reducing the unknown number by 28.5%, we get the number 243.1. Find the unknown number. - Equation solving
Solve the equation: 3x-2 (x-1) = 1.5x + 0.5 (4-2x) - Tributaries
The first tributary fills the pool with water in 15 hours. The second tributary fills the pool in 10 hours. For how many hours is the pool filled with both tributaries? - Tonic
One package tonic consumes Mom for 12 weeks and the daughter for 14 weeks. They use the same cream together for four weeks and then only their daughter. How many weeks endured tonic to daughter then? - Bob and Bobek
Bobek runs from the hat at an average speed of 12 km/h at 10:20. At what time must Bob run out at a speed of 18 km/h to catch him 9 kilometers from the hat? - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? - Substitute a number
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be? - Pedestrian and the cyclist
Pedestrians and cyclists went against each from the two cities that are distant 40 km. The pedestrian started 30 minutes before the cyclist and walked at an average speed of 5 km/h. What speed went the cyclist when met after 120 minutes from the start of - Beer permille
In the 5 kg of the blood of an adult human after three 10° beers consumed in a short time is 6.6 g of alcohol. How much is it per mille?
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