Maths practice for 14 year olds - page 43 of 379
Number of problems found: 7567
- Quadrilateral 83254
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm?
- Percentage 83250
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show?
- Calculate 83248
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH.
- Isosceles 83247
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8cm and the angle at the base alpha= 38°40`.
- Decoration
Jarka and Jana decided to decorate their common room. If Jarka painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together?
- Determine 83240
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle.
- Deposited 83236
On March 24, we deposited €5,400 into the savings bank. How much interest will we earn until the end of the year, when the savings bank provides 4.2% interest on this type of deposit?
- Deposited 83235
A student deposited €500 in a savings bank at 2.5% interest. In what time (in years) will he earn as much interest as he invested?
- Pomeloes 83231
During the first two days of the Easter market, the basket maker sold all the knitted pom poms; on the first day, he sold a fifth of all pom poms. On the second day, he sold 180 more pom poms than on the first day. How many pomelos did the barber sell on
- Percentage 83218
The tractor operator plans to plow a 24 ha (ha=hectare) field. He already plowed 20.64 ha. What percentage has he already fulfilled the plan?
- In a queue
There are cars and trucks in a queue in front of a toll gate. A truck is three times longer than a car. Calculate how many cars are in front of the car that has just arrived, if there is one truck among them, which is one eighth of the length of the queue
- Families 83209
Coal for 15 families lasts 60 days. How many days will the coal last for 20 families?
- Construction 83208
An isosceles triangle ABY has a base AB of length 5 cm and an angle at the primary vertex of 50°. Write down the construction progress.
- Workers 4
Workers in a workshop machined the same parts for three months. Their output increased so that each subsequent month they machined 10 percent more parts than the previous month. In the last month, they machined 484 parts. How many parts did they machine i
- Kilograms 83204
Nine kilograms of bell metal contain 7 kg of copper, the rest of which is tin. How much copper and how much tin were used to cast five bells? Each of the two larger bells weighed 535kg, and each of the remaining three smaller ones weighed 286kg.
- Weighing 83201
Bronze is an alloy of copper and tin in a ratio of 1:4. How much copper does a bronze piece of jewelry weighing 25 g contain?
- Buy and sell
The selling price is 5.75 EUR, and the buying price is 4 EUR. By what percentage was the price increased?
- Construct 83195
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords.
- Central angle
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long.
- Daffodils 83181
The spring bouquet consists of 13 daffodils and 8 tulips, and the other 30% are freesias; how many flowers are there in total?
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