Ratio - practice for 13 year olds - page 6 of 40
Number of problems found: 798
- Proportion 81593
Express the ratio. There are 12 boys and 16 girls in the class. a) In what ratio is the number of girls to the number of boys? b) In what proportion is the number of boys to the total number of pupils? - Performance 81586
The performance of three lathes can be expressed by the ratio 3:5:8. The most powerful lathe produces 136 shafts per shift. How many shafts did each of the remaining lathes make per shift? - 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 - Perimeters 81399
Two squares are given. The first has a side length of 5 cm, the second 10 cm. Write the ratio of: for a- of their sides for b- their perimeters for c- their areas - 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 - 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? - Right-angled 81150
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - 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. - Numbers 81079
The ratio of the two numbers is 1:3. Half of the larger one is 135. What is the sum of the two numbers? - Circumscribed 81025
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere.
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