Math practice for 13 year olds - page 302 of 423
Number of problems found: 8457
- 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 5322
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) - Rectangular 5320
Forest workers planted the rectangular forest nursery with dimensions of 80m and 50m 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. - Participants 5319
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
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres) - Three-digit 5312 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 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base, - Dealer 5295
The dealer sells a TV for 750 euros. If he sells it, he must pay 20% VAT to the state. How many euros will he pay for the sale of one TV? - VAT on books
The cost of a book in the store is 12.5 euros. How many euros is the VAT of this book? VAT is 10%. - 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
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have? - Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube. - Destination 5286
Daniel reached the destination in 3 hours. Peter came to this place in 4.5 hours. What speed was Daniel moving if we know that Daniel's speed was 30 km/h faster than Peter's, and they both started at the same time from the same place? - Kaufland sales-off
As a rule, the goods are approaching the end of consumption in Kaufland three days before the consumption ends 30% off and one day before the consumption ends 50% discounts. Sometimes, however, the seller has been mistaken, and the second discount is alre - Finding the base
Find the unknown base of percent: 12.5 percent of what = 16? - Percentage 5282
The car consumes 6.7 liters per 100km 2. The car consumes 108ml per 1500m. What percentage of more or less gasoline does the 1st car use than the 2nd car to cover the same distance?
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