Ratio - practice for 14 year olds - page 4 of 30
Number of problems found: 594
- Pupils 81741
There are 28 pupils in the class. The ratio of boys to girls is 3:5. Count the number of girls. - Centimeters 81669
Eight centimeters on the map represent two kilometers in reality. Determine the scale of this map. - Simultaneously 81612
Milan, who is 1.85 meters tall, casts a shadow of 74 cm. How tall must Emil be if he casts a shadow 6 cm longer than Milan simultaneously? - Restaurant 81584
Four students were paying the bill in the restaurant. Jan paid 7 rums and 20 beers, Adam 20 rums and 7 beers, Víťa 12 rums and 25 beers, and Dan 25 rums and 12 beers. Jan paid 20% less than Adam. By how much % less did Víťa pay than Dan? - Components 81552
Gunpowder is made from a mixture of coal, sulfur, and lignite, with 4 times more lignite than sulfur and 3 times more sulfur than coal. Calculate how many kilograms of individual components are needed to produce 240 kg of gunpowder.? - Three ratios
Calculate x in terms of: x:7=6:4 1/2:x=5:3/4 4:3=8:x - Savings 81523
The savings of Vlad and Peter are in the ratio of 15:8, and the savings of Peter and Juraj are in the ratio of 2:1. What is the ratio of the savings of Vlad, Petr, and Juraj? - Horsepower 81496
The electric motor has an efficiency of 80% (power and input ratio). What is the power input of this motor if its power is 5 horsepower (HP)? Enter the result in kilowatts (kW) and round to one decimal place (1 HP = 3/4 kW). - Triangle 81484
Choose a triangle that is similar to the given triangle. - ∆ TFC= t= 8 cm, f= 9 cm, c= 7 cm. : ∆ PKU= p= 45 cm, k= 35 cm, u= 40 cm. ∆ UPK= u= 40 cm, p= 45 cm, k= 35 cm. ∆ PUK= p= 45 cm, u= 40 cm, k= 35 cm. ∆ KPU= k= 35 cm, p= 45 cm, u= 40 cm. ∆ KUP= k= 35 - Triangles 81480
Decide whether the triangles are similar. Choose between Yes/No. ∆ YUO: y= 9m, u= 17 m, o= 12 m, ∆ ZXV= z= 207 dm, x= 341 dm, v= 394 dm - Calculation 81405
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer). - Quadrilateral 81385
A regular quadrilateral pyramid with base edge length a = 15cm and height v = 21cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - Lollipops 81314
There are lollipops, candies, and candies in the basket. The number of lollipops and candies is in the ratio of 2:3, and the number of candies and candies is in the ratio of 4:5. There are 15 fewer candies than lollipops and candies combined. How many can - Determine 81311
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Dimensions 81240
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? - Rectangular 81233
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. - Complementary 81152
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? - Father 81149
The father is older than the son by the ratio of 5:2. Dad is older than 33. How old are they both? - Relatively 81129
The sides of the rectangle are relatively 5:4, and the perimeter of the rectangle is 308 dm. Find the area of the rectangle. - Right-angled 81126
In a right-angled triangle, the hypotenuse has a length of 24 cm. The heel of the height on the hypotenuse divides it into two parts in a ratio of 2:4. What size in cm is the height at the hypotenuse? Calculate the perimeter of this right triangle in cent
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