Math practice for 13 year olds - page 85 of 427
Number of problems found: 8528
- Pavla Irena age
Paula is 2x older than Irene. Four years ago, Paula was 6 times as old than Irene was then. In how many years will the ages of Paula and Irene be in the ratio of 4:3? Thanks - Everyone age average There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class?
- Cyclist peloton speed
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible? - Windbreaker price increase
Before the season, the windbreaker became more expensive by 30% to the amount of 80.60. How much was it before the price increase? - Friends money division The three friends divided the money earned as follows: Tony got 2/5, Charles 2/9, and Jirko took the rest of CZK 102. How much did each of them earn?
- Siblings 6
Siblings Martin and Judy decided to visit a castle 10 km from their home. Martin left at 7:30 and walked at a speed of 4 km/h. Judy set off on her bicycle an hour and a half later and rode at 16 km/h. Did Judy catch up with Martin before the castle? If so - Refreshing drink
For the participants of a meeting a refreshing drink had to be prepared. The mineral water however had in summer the temperature of the room, i.e. 30 °C, for drinking water with a temperature of 10 °C would be suitable. Therefore the secretary took ice fr - Martin number subtraction
Martin thinks of a number. Subtracting two-thirds of it and adding the number 8 gives the number 40. What is the original number that martin was thinking of? - Weekend visitor percentage
The second weekend saw 20% fewer visitors than the first. Over the two weekends, the number of visitors was 27,500. How many visitors came on the second weekend? - Tank inlet filling
The fire tank is filled with three inlets, each flowing 6 liters per second in 12 hours. How long will it take to fill if 8 liters per second flow through each of them? - Karel grade average
Charles has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - The perimeter
The perimeter of the base of a regular quadrilateral pyramid is the same as its height. The pyramid has a volume of 288 dm³. Calculate its surface area round the result to the whole dm². - Deposit interest increase
How much is the deposit? Which at an interest rate of 3.75%p. a., will it increase by 25 euros in one year? - Mother daughter stride
Mother and daughter walked side by side. They walked 378 meters, and the mother took 840 steps. Before the mother takes 3 steps, the daughter takes 4 steps. What is the mother's stride length? How many steps did the daughter take? - Triangle perimeter ratio
The lengths of the sides of the triangle are in the ratio 7:6:4. The shortest side is 36 cm. What is the perimeter in cm of this triangle? - Triangle colored part
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Janka Danka payment Jane and Dana together paid €132 for the purchase. However, Jane paid five times as many as Dana. How many euros did Jane pay, and how much did Dana pay?
- Trapezoid plot area
The right trapezoidal plot has a basic length of 102 m and 86 m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Jakub 6
Jakub collects dice, all of the same size. Yesterday he found a box into which he began to place the dice. The first layer covered exactly the square bottom of the box. He placed five more layers similarly, but in the middle of the next layer the dice ran - Dice five probability
What is the probability that two fives are rolled when two dice are rolled if we know that the sum of both numbers is divisible by five?
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