Math practice for 13 year olds - page 278 of 428

Number of problems found: 8552

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?
Equilateral cylinder
A hectolitre of water will fit in an equilateral cylinder. What are its dimensions?
Klara
Klara and Jitka went on a hiking trip at 13 o'clock at a speed of 5km/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 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?
Three painters
The three painters have painted bridges. The first would work done in 5 days, the second in 6 days, and the third in 7.5 days. How long will the bridge work if they work together?
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?

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