Ratio + equation - practice problems - page 11 of 17
Number of problems found: 325
- Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area. - Book read
If Petra read ten pages per day, she would read the book two days earlier than she read six pages a day. How many pages does a book have? - Ratio of two unknown numbers
Two numbers are hidden. Their sum is 30. We calculate one-sixth of a larger number and add to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers is it? - Mason with assistant
Mason had to complete the work in 10 days. Two and a half days later, his assistant arrived. Together they completed the work in the next three and a half days. How many days would he need an assistant for the same work?
- Boys and girls 2
The ratio of boys to girls in the math club is 4:3 . After eight more girls join the club, the ratio becomes 1:1. How many members are there in the club now? - Unknown number 24
If we add 20, we get 50% of its triple. What is this unknown number? - Determine 5192
Determine the numbers x and y so that half of the number x is 30% of the number and 60% of y is 90. - Determine 5188
If we increase the unknown number by 4%, we get 780. Determine the unknown number. - Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β?
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page? - Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Highway
Six trucks will be used to build the roadside for 18 days. After three days, the company sent two more trucks to make. How long will it take for the material to move? - Baker
The baker needs 10 kg of flour to make 12 kg of dough. How much flour does he need to make a 100 kg dough?
- Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Rectangular 4567
The rectangular flower garden fencing is 57.6 m long. If you know its dimensions are in a 5:7 ratio, find them. - Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, and the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times?
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