Math practice for 13 year olds - page 67 of 210
Number of problems found: 4194
- Cable Car Path Length
The cable car rose at an angle of 15 °. The height difference between the upper and lower stations is 106m. Calculate the path's length. - Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it? - Taxi
A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation using two variables representing the total cost of the taxi ride. - Meeting of Two Walkers
Tomas will leave point A at a speed of 4 km/h at 9 o'clock. Ondra will meet him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5km. What time do they meet, and how far will they be from point B? - Enlarged rectangle
The rectangle has dimensions of 8 cm and 12 cm. We enlarge it in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle? - Ages Four Years Ago
Peter and Paul are 26 years old together. Four years ago, Peter was twice as old as Paul. How old is Peter? And how much for Paul? - The square
What number is the square root of 25 times the square root of 81? - Apples
Zuzana bought 3 kg Jonathan apples. Then she noticed that Golden apples were 3 CZK a kilogram cheaper. So they bought 2 kg. For apples, she paid a total of CZK 109. How much did 1 kg, Jonathan, and how much Golden? - Language choice
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Tickets Sold Fraction
The salesman had several tickets. He sold a third to the first customer and a third to the others. He has six tickets left. How many did he initially have? - The truck
The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car traveled at a speed of 1 - School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, one remains when sorted into 3, 4, 5, and 6 members teams. Sorted to seven members teams, no left behind. How many pupils are attending this school? - Two gardeners
The garden, with an area of 81 square meters, was divided by two gardeners in a ratio of 4:5. How much did the second gardener get more than the first? - Warehouse shipping
Five part-timers ship all goods from the warehouse in 12 days. Calculate how long it would take to bring twice as many goods out of the warehouse to part-timers if their number increased by 140%. - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - School Gender Ratio
If the ratio of boys to girls at school is 8:5, how often are there more boys than girls? - Fertilizer Dilution Ratio Water
The fertilizer bottle says: When applying during vegetation, the fertilizer must be diluted with water in a ratio of 1:5 favor of water. Mom poured a pint bottle of fertilizer into the bucket. How many liters of water should flow in? - Brick scale balance
Not one bowl of isosceles scales is two bricks and weighs 0.5 kg. The second bowl is half a brick and weighs 5 kg. How much does the whole brick weighs when the scales are in balance? - Paul earned Paul earned 300 CZK in one hour, Václav 1/3 more than Paul. Václav worked 60 hours, which is 1/3 fewer hours than Paul worked. How much percent less did Paul an hour than Václav? How many hours did Paul more than Václav? How much did Paul earn more than V
- Trapezoid construction
Draw an isosceles trapezoid ABDC if a = 6cm, v = 5cm, beta = 60 degrees. / sketch, procedure, construction /
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