Maths practice for 14 year olds - page 45 of 375

Number of problems found: 7497

Goalie Saves Percentage
The hockey goalie got 6 goals for the match. The success rate of his interventions was 80%. How many shots did he catch per game?
Dividing Number Proportionally
Divide the number 112 into three components, x, y, and z, so that x: y = 7: 5 and y: z = 3: 4 apply.
Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid.
Equilateral shell
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500 kg/m³?
Production Increase Percentage
The company's monthly production increased from 352 products to 528 products. So, by what percentage did the original monthly production increase?
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 took 5 minutes to repair a puncture. How many kilometers per hour was his speed greater than the speed of the peloton when he caught up with him in 20 minutes? How long
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 1m² 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= 8.8cm 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?

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