Math practice for 13 year olds - page 340 of 362
Number of problems found: 7235
- Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS?
- Rhombus diagonal
The area of a rhombus is 790. One diagonal measures 45. Find the length of the second diagonal.
- Dog
The man went with a dog on a long walk 17 km from the house. The man is walking at a speed of 4.9 km/h. A dog constantly runs between the house and the man at 12.6 km/h. How many kilometers will the dog run when they reach its destination?
- Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88?
- EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm.
- Gasholder
The gasholder has a spherical shape with a diameter of 19 m. How many cubic meters (m³) can hold in?
- Flowerbed 2
Around the square flower bed in a park is a sidewalk about 2 m wide. The area of this sidewalk is 243 m². What is the area of the flowerbed?
- Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
- Task of the year
Find the number of integers from 1 to 106 with ending four digits 2015.
- Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off?
- Sales vs profit
Apple sells 46 percent less computes than Acer, but its sales are 7.8 times higher than Acer. How many times have Apple computers been more expensive than Acer?
- The professor's birthday
Professor of mathematics had 44 birthdays. The director congratulated him. The professor asked the director: "And how old are you?" The director replied: "I'm exactly twice as many years as you were when I was old as to you today." How old is the director
- Flowerbed
The flowerbed has the shape of an obtuse isosceles triangle. The arm has a size of 5.5 meters, and an angle opposite the base size is 94°. What is the distance from the base to the opposite vertex?
- Bases
The length of the bases trapezium is in ratio 4:5. The length of the midline is 15. How long are the bases of a trapezoid?
- Racer
The first racer runs at a speed 22 m/s and is 880 meters before the finish and ahead 68 meters before the second competitor. At what speed must the second racer run to catch the first racer at the finish line?
- Ethnicity
The share of ethnicity XY is 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the prewar period?
- Tram
In the three-part tram went 206 passengers in front of others, 226 after others and in the middle half. How many passengers went on the tram in total?
- TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour.
- Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a
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