Math practice for 13 year olds - page 272 of 413

Number of problems found: 8260

Inscribed
The cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
Metal rails
Dad needs to improve the edges of the wooden boxes, which are to be reinforced with metal rails. How many cm of rails will he need if the box has the shape of a prism and the length of the edges is 70 cm, 70 cm, and 120 cm?
Reading every day
Alena calculated that reading ten pages of the book every day would take her 18 days. However, a week later, she decided to read 11 pages every day. How many days did it take her to read the book?
In the parking lot
At a parking lot 20 km from Bratislava thieves stole car A; it is moving at speed V: 130 km/h towards Žilina. After twelve minutes the motorway police received at the beginning of the motorway in Bratislava an order to catch up with the stolen car and sto
Two Numbers Ratio Change
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers?
School lunch pupils
A third of the 1st-grade pupils eat lunch and a snack in school, a quarter only have a snack in school and a sixth only have lunch in school. The remainder, 15 pupils, do not go to primary school. How many pupils are there in the 1st grade? And how many a
Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers?
Marble bag
A marble bag sold by Rachel's Marble Company contains five orange marbles for every six green marbles. How many green marbles does it contain if a bag has 35 orange marbles?
Triangle Line Two Points
Draw an arbitrary triangle ABC and a line o to have exactly 2 points in common with the triangle.
Repair pipe
Twenty workers had to repair broken pipes in 30 days. After fourteen days, four laborers joined them. How long did the pipe repair work last?
Klara
Klara and Judy went on a hiking trip at 13 o'clock at a speed of 5 km/h. At 14 o'clock, Thomas rode on the bike at an average speed of 28 km/h. How many hours and at what distance from the beginning of the road did Thomas catch the two girls?
Tree Planting Work Hours
Specify x - the number of hours if Three part-time workers, 5 hours a day, plant 900 trees. How many hours a day do two part-time workers have to work to plant 480 trees?
Girls
The boys and girls in the class formed groups without the rest of the five, two girls and three boys. Six girls are missing to create mixed pairs (1 boy and one girl). How many girls are in the classroom?
Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today?
Rectangle Carpet Dimensions Perimeter
The electrified carpet was rectangular, 16 square meters in area, and no two points on it were more than 7 meters apart. What different circuits can carpets that meet these conditions have?
Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
Cable Car Path Length
The cable car rose at an angle of 15 °. The height difference between the upper and lower stations is 106 m. 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
Thomas will leave point A at a speed of 4 km/h at 9 o'clock. Andrew will head toward him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5 km. What time do they meet, and how far will they be from point B?

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