Maths practice for 14 year olds - page 46 of 367
Number of problems found: 7329
- Cuboid Volume from Surface
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume. - Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Peleton
In a cycling race, the peloton travels at an average speed of 36 km/h. One competitor stopped for 5 minutes to repair a puncture. By how many kilometres per hour did his speed exceed the speed of the peloton when he caught up with it in 20 minutes? How lo - Pear apple price
The price of 6 kg of pears is CZK 77 higher than the price of 5 kg of apples. The price of 6 kg of apples is the same as the price of 5 kg of pears. How much are 2 kg of apples? - Evelyn garden plowing
Evelyn plows the garden in four hours, while her friend Doubravka can do it in three hours. Evelína started work at 1 p.m., and an hour later, Doubravka joined her so they could go swimming together. Calculate the time the girls can go to the swimming poo - Mark statistics frequency
Marks with equal weight 2,1,3,2,2,3,1,3,1,1,2,4,2,2,3,1,1,2,1,3 specify: 1) arithmetic mean 2) absolute and relative frequency 3) mode and median 4) create a chart - Cancel variations
Evaluate the following expression with factorials: (45!-44!)/(44!) - Company employee crisis
The company laid off employees during the crisis, so at the end of the crisis, it had 40% fewer employees than before the crisis. When the company hired 42 new employees after the crisis subsided, it had 25% more than at the end of the crisis. How many em - Perimeter of needle
The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1 m² costs €1.5, a 12% loss due to joints and folds is included in the area. - Pyramid volume What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm?
- Show girl percentage
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show? - Cube pyramid volume
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH. - Triangle height angle
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8 cm and the angle at the base alpha= 38°40`. - Decoration
Jerry and Jane decided to decorate their common room. If Jerry painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together? - Triangle angle sizes
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. - Savings bank interest
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? - Student deposit years 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?
- Basket pom market
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 - Tractor field percentage
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?
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