Math practice for 13 year olds - page 297 of 420
Number of problems found: 8400
- Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Percentage Comparison of Fractions
By what percentage is one-fifth greater than one-tenth? - Quadrangular prism
Calculate the volume and surface area of a regular quadrilateral prism 35 cm high and the base diagonal 22 cm. - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Sugar 9
150 kg of sugar beet yields 24 kg of sugar. How many tons of sugar beet can be obtained from three tons of sugar? - Equation solving
x / 9-3-2x / 3 = 1-2 / 9-x - Is right triangle
Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Isosceles triangle
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c. - Staircase handrail
Find out if the handrail on a staircase with 20 steps will be longer than 7 m if the step is 32 cm wide and 15 cm high. (1 = Yes, 0 = No) - Forest nursery planting
Forest workers planted the rectangular forest nursery with dimensions of 80 m and 50 m 2/5 with spruce, 12 ares were planted with beech, and the rest grew other deciduous trees. Determine what area the other deciduous trees are growing on. - Competition participants
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Passenger trains
Two trains are traveling towards each other on parallel tracks, one at a speed of 34 km/h and the other at a speed of 47 km/h. A passenger sitting on the second train noticed that the first train passed him in 6 seconds. How long is the first train? - Spending
Suppose I spend 25% of my net pay of $922.28 on entertainment. How much money is that? - Diamond base
A prism with a rhombus-shaped base has base diagonals of 24 cm and 20 cm. Calculate the height of the prism if its volume is 9.6 dm³. - Four-digit number Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits.
- Square area
Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit² Square 2 2 units² Square 3 4 units² - Big Ben clock
They had three tower clocks in the city. Some went right, others were 10 minutes ahead of the day, and the third was 12 minutes late each day. One day, they struck all the clocks at noon at once. How long will it be like this again? - Body diagonal
Cuboid with base 7 cm x 3,9 cm and body diagonal 9 cm long. Find the height of the cuboid and the length of the diagonal of the base, - Cooling liquid
Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with two volumes of water). How many coolant volumes must be prepared for a total of 0.7 dm³ (liters) of the mixture? - Line segment
Divide a 15 cm line segment into two parts so that their lengths are in a ratio of 2:1. What is the length of each part?
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