Maths practice for 14 year olds - page 247 of 382
Number of problems found: 7625
- Class composition
A fifth-grade class has 25 pupils. 18% are boys and 23% are girls... [Note: problem appears inconsistent as 18% + 23% ≠ 100%; please check original data.] How many boys are in the class and how many girls? - Rhombus
The rhombus has diagonal lengths of 4.2 cm and 3.4 cm. Calculate the length of the sides of the rhombus and its height. - Young mathematician
A young mathematician was bored. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the count of pe - Merchant
The merchant lowered cost by 10% in December when it was not sold. Again, in January, it lowered costs by 20% and now costs 576 €. A. How much did the goods stand originally? B. How much do the goods cost after the first lowering? C. How much percent of t - Paul earned
Paul earned 300 CZK in one hour, Wesley 1/3 more than Paul. Wesley worked 60 hours, which is 1/3 fewer hours than Paul worked. How much percent less did Paul an hour than Wesley? How many hours did Paul more than Wesley? How much did Paul earn more than W - Chord distance
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Square division
The area of 90000 m² is divided into 36 identical squares. Find the length of the side of one square (in meters). - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - Rectangular Garden Area
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - Overload
What overload in g (g-force) would have passed the pilot if he accelerated from 0 to 600 km/h in 3 seconds? - Our house
Four painters would paint our house in 14 days. How long would it take to paint five painters? How long would it take for two other painters to help after five days? - A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles? - Parallelogram Side Heights
The parallelogram is given by: a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6 cm, va = 3 cm, vb = 4 cm - Hotel Room Capacity Puzzle
The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people? - Cylinder water
The cylinder has a base diameter of 0.8 m. The area of the base is equal to the area of the casing. How much water can be poured into the cylinder? - Cylinder Bottom Diameter
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - House Insulation Cost
The Drapers inherited a cube-shaped house from their grandmother, which occupied 121 m² of land. They want to insulate the perimeter walls. How many euros will they pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist - Line Intersection Equations
Determine the intersection of the two lines p and q if. : p: 3y + 2x-5 = 0 q: 4x + 7y-11 = 0 - Water mixing
How many liters of hot water at 80 °C do we have to mix with water at 10 °C to get 10 liters of warm water at 45 °C? - Canapés on plates
On the table there were 18 plates. On each plate there was the same number of canapés. Tomáš with his friends took away a third of all the plates with canapés. Lenka for her friends took from each of the remaining plates 3 canapés. On the table there thus
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