Math practice for 13 year olds - page 77 of 422

Number of problems found: 8424

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?
Dimensions 81239
One side of a rectangle is 45% of the length of its other side. What are the dimensions of a rectangle if its perimeter is 101.5 cm?
Consecutive 81237
The sum of three consecutive numbers is 18. What are the numbers?
Grandson 81235
The grandson is 11 years old, and the uncle is 59. In how many years will the uncle be 3 times older?
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.
Library 81232
Lenka has 30% fewer books in her library than Filip but 40% more than Ivan. Filip has 250 books. How many books does Ivan have?
Percentages 81226
There are 32 students in the class; 17 are awarded, 14 passed, and 1 failed. Determine the number percentages of students with honors, successful and not successful students
Equilateral 81222
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere?
Denarii 81214
Two men talk about how much money each has. The first says to the second: If you give me 12 denarii, we will both have the same. "Second branch: If you give me 12 denarii, I will have ten times more than you. How many denarii did each of them have?
Millimeter 81208
A cylinder has the same diameter as its height. Calculate these data if the surface is 200 cm square. Report the results to the nearest millimeter.
Correspond 81207
Zuzana, Anna, and Eliška receive pocket money every month. They donated part - Zuzana 40%, Anna 50% and Eliška CZK 195. If we add up all 3 amounts and divide the sum by 3, the result will correspond to 4/9 of the pocket money of each of the girls. What is
Companies 3
Companies supplying electricity to households use two rates. In 1996, the price for 1 kW was 1.10 CZK and night power was sold for 0.46 CZK per kW. In 1997, these rates were 1.28 CZK and 0.53 CZK. Express the ratio of the normal and cheaper rates in both
Airplane 81200
Two points are at a distance of 1840 km. An airplane departs from A at 7:00 a.m. and flies at an average speed of 50 km/h faster than another airplane departs from B at 8:00 a.m. At what distance from A do they meet at 9:00?
Percentage 81198
Since starting the job, Jiri's salary has doubled. By what percentage did his salary increase?
Millimeter 81160
Calculate the length of the side of the cone; they rounded the result to tenths of a millimeter. If you know: radius 24 mm and height 46 mm
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?
Together 81151
Matěj has 2 more marbles than three times the number of marbles that Lojza. Both together have 18 balls. How many marbles does Lojza 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?
Quadrilateral and angles
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral.

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