Math practice for 13 year olds - page 306 of 413
Number of problems found: 8254
- Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Apple distribution
Grandma had apples. When she gave seven to her grandfather, they both had the same. When Grandpa gave five apples to Grandma, she had three more than Grandpa. How many apples did each initially have? - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Cable car altitude
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Three painters
One painter paints the school in 7 days, the other in 6 days. The school had to be painted in 2 days. A third painter was called in, and they all worked simultaneously. In how many days would this third painter paint the school by himself? - Triangle angles
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Potatoes 6
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes, in the second hour, he sold five-sixth of the remaining potatoes, and in the third hour, he had sold the last 40kg of potatoes. How many kilograms of potatoe - Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its area. - Trees
Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apples for 50 CZK a piece. The entire plantation cost 12,800 CZK. How many cherries and apples? - Math test
Students wrote a math test. The average number of points obtained by them was 64. Another student wrote this test for 80 points. If the teacher added his result to the original ones, the total average of all students would be 65. How many students origina - Double ladder
The double ladder shoulders should be 3 meters long. If the lower ends are 1.8 meters apart, what height will the upper top of the ladder reach? - Banknotes count
The bank has a total of CZK 1,390 in 50 banknotes. How many banknotes are worth CZK 20 and CZK 50? Please follow the calculation procedure. Thank you - Billboard
A rectangular billboard is 2.5 m long with a diagonal of 2.8 m long. Calculate the perimeter and the area of the billboard. - Rhombus sides
If you decrease the side of the rhombus by 30 mm, its circumference will be 70.8 mm. How long was the side of the original rhombus? - Land - isosceles trapezoid
Calculate the building plot's area and perimeter using an isosceles trapezoid with bases of 120 m and 95 m and a height of 50 m. - Empty canister
The canister is filled with oil and weighs 17 kg. Suppose only half is filled, weighing 9 kg. What weight does my empty canister have? - Square
Calculate the square's perimeter and area with a diagonal length of 30 cm. - Flu cases
There were 36 new cases of influenza at the school during the study week, which was 40 percent less than in the previous week. How many new flu cases have been reported in the last week? - Block diagonal
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal. - Toy cars
Paul has a collection of toy cars. He wanted to regroup them. But when he divided them into groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven did he divide all toy cars. How many toy cars are in the collect
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