Maths practice for 14 year olds - page 240 of 368

Number of problems found: 7349

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?
Subsequent 6477
We will put 900 bags in nine rows, with five fewer in each subsequent one. How many are in the first place?
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?
Electrified 6472
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?
Expression with powers
If x-1/x=5, find the value of x⁴+1/x⁴
Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
Difference 6469
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.
Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed.
Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it?
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?
Cancel fractions
Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)!
Together 6451
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?
Assemble 6449
How many natural numbers less than 400 can I assemble if the numbers do not repeat?
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?
Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, two candies and eight empty boxes will be left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into a box?
English-German 6443
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.
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
Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height.
Young mathematician
One young mathematician was bored again. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the cou
Merchant
The merchant lowered cost by 10% in December when it was not sold. Again, in January, it lowered costs by 20% and now costs 576 €. A. How much did the goods stand originally? B. How much do the goods cost after the first lowering? C. How much percent of t

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