Math practice for 13 year olds - page 115 of 415
Number of problems found: 8285
- Map actual distance
On a tourist map with a scale of 1:50 000, the distance between Štrbské Pleso and Štrba is 14 cm. What is the actual distance? - Sidewalk plan marking
The sidewalk is 500 m long. How will it be marked on the plan on a scale of 1:200? - Hemisphere layer
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 cm. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Prizes in a competition
In a competition announced for a design of a poster, the prizes for the first three winners are prizes of a total value of 9 500 Kč. The second prize has a value of two thirds of the first prize, and the third prize has a value of two thirds of the second - The temperature 28
The temperature rose 14 °C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise? - Goods shipment delivery
During the delivery of the goods, the postman delivered one-third of the consignment on the first day, two-fifths of the rest on the second day, and 300 pieces on the third day. How many goods were in the shipment? - Circle diameter ratio
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter? - Concert two parts
Matej and Tom enjoyed the concert of their favourite musical group from the beginning until the end. After its first part, a ten-minute intermission followed. The second part of the concert was 40% shorter than its first part. The musicians performed live - School grade expression
There are p first-year students in the school. There are 18% fewer sophomores than first-year students. There are 7 more third graders than sophomores and twice as many fourth graders as first- and second-year students combined. Express the number of pupi - Quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid with a height of 30 cm and a slant height (wall height) of 50 cm? - A recipe 3
A recipe calls for 1/2 cup of ingredient A for every 1 2/3 cups of ingredient B. You use 4 cups of ingredient A. How many cups of ingredient B do you need? - Car plank capacity
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time? - In the centre
In the centre of the city a new restaurant was opened. The customer can choose whether he wants penne, spaghetti or fusilli. He can have them salty with one of five sauces and a portion will according to his wish either be sprinkled, or not sprinkled with - Storm distance sound
The sound travels at a speed of 1 km in 3 seconds. If the thunder is heard 12 seconds after the lightning, what distance is the storm? - Bank interest percentage
Kate had €660 in the bank, for which she received €33 in interest at the end of the year. What was the interest rate in percent? - Wooden 3 A wooden board 2.5 m long has a cross-section in the shape of a right-angled trapezoid whose parallel sides are 1.2 dm and 8 cm long. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board, to determine the amount of stain needed
- Concert seating ways
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - A rectangular 6
A rectangular sheet of paper is 6 2/3 cm long and 4 1/2 cm wide. Find its perimeter. - Match course possibilities
How many different courses could the match between AC Michalovce and Juventus Turiec have had, which ended 2:1?
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