Maths practice for 14 year olds - page 63 of 375
Number of problems found: 7497
- Highway construction weeks
The first group of construction workers would build a certain section of highway in 15 weeks, and the second group would make it in 10 weeks. After four weeks of working together, the second group was dismissed, and only the first group continued to work. - Exchange fax sale
The merchant bought 5 telephone exchanges and 10 faxes for 8,500 euros. How much did he sell them for if the sale price was 30% higher than the purchase price? - Football field scale
What is the scale of the city plan if the new football field with dimensions of 90m by 120m is shown on it as a rectangle with dimensions of 3cm by 4cm? - Rectangle side percentage
One side of a rectangle is 45% of the length of its other side. What are the dimensions of a rectangle if its perimeter is 101.5 cm? - Pear apple price
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Paper strip folding
A rectangular strip of paper measuring 4 cm x 13 cm is folded as shown. The two resulting rectangles have areas P and Q, where P = 2Q. Calculate the value of x. Note divide the side of 13 cm by x and 13-x. - Lenka book library
Lenka has 30% fewer books in her library than Filip but 40% more than Ivan. Filip has 250 books. How many books does Ivan have? - Cone sphere volume
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere? - Men money denarii
Two men talk about how much money each has. The first says to the second: If you give me 12 denarii, we will both have the same. "Second branch: If you give me 12 denarii, I will have ten times more than you. How many denarii did each of them have? - Cylinder diameter height
A cylinder has the same diameter as its height. Calculate these data if the surface is 200 cm square. Report the results to the nearest millimeter. - Girls pocket money
Zuzana, Anna, and Eliška receive pocket money every month. They donated part - Zuzana 40%, Anna 50% and Eliška CZK 195. If we add up all 3 amounts and divide the sum by 3, the result will correspond to 4/9 of the pocket money of each of the girls. What is - Airplane distance meeting
Two points are at a distance of 1840 km. An airplane departs from A at 7:00 a.m. and flies at an average speed of 50 km/h faster than another airplane departs from B at 8:00 a.m. At what distance from A do they meet at 9:00? - Salary increase percentage
Since starting the job, Jiri's salary has doubled. By what percentage did his salary increase? - 200 students
200 students sat exams in Czech, mathematics and physics. 114 students passed Czech, 50 students passed mathematics and 41 students passed physics. 14 students passed both Czech and mathematics, 15 students passed both mathematics and physics, and 11 stud - Cone side length
Calculate the length of the side of the cone; they rounded the result to tenths of a millimeter. If you know: radius 24 mm and height 46 mm - Polygon angle ratio
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Matěj Lojza marbles
Matěj has 2 more marbles than three times the number of marbles that Lojza. Both together have 18 balls. How many marbles does Lojza have? - Father son ratio
The father is older than the son by the ratio of 5:2. Dad is older than 33. How old are they both? - Triangle rotation volume
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - Quatrefoil circle radius
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters.
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