Maths practice for 14 year olds - page 198 of 375
Number of problems found: 7498
- Comic number puzzle
Majka researched multi-digit numbers, in which odd and even numbers alternate regularly. Those who start with an odd number are called comics, and those who start with an even number are called cheerful. (For, number 32387 is comic, and number 4529 is hil - Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the rectangles A and B dimensions. - Three-digit palindrome count
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units? - Bodybuilder weight sum
The bodybuilder weighs 96 kg. The second bodybuilder weighs 25% more than the first bodybuilder. What is the sum of their weights? - Grandmother money distribution
Petr and Honza received 315 CZK from their grandmother. Petr Dostál a third more than Honza. How many crowns did each of them have? - Tax and death
Calculate 60% (aggregate taxes and levies) of 1000 euros of the gross wage. - Matrix column count
Matrix E is a rectangular matrix that contains 48 elements and four rows. How many columns does this matrix have? - Rectangle dimension change
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9cm and 15cm. What are the dimensions of the rectangle after the change? - Tree trunk
What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm? - Number divisibility puzzle
The number X is the smallest natural number whose half is divisible by three, a third is divisible by four, a quarter is divisible by eleven, and its half gives a remainder of 5 when divided by seven. Find this number. - Forest herb leaves
Only herbs with 5 and 7 leaves grow in the Old Forest. When the boar Vavřínec collects raw materials for herbal liquor, it always tears off the whole herb and puts it in a basket. What is the most significant number of letters he will ever manage to have - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Garden fencing
Calculate the area of a rectangular garden if it consumed 266 ordinary meters of mesh on its fencing and if we know that the difference between the lengths of two adjacent sides of the garden is 15 m. - Sloth meeting distance
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Rectangle area calculation
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area? - Two places
The distance to the places is 60 km. From A place, a pedestrian came out at a speed of 4 km/h, and at the same time, a car drove against him from place B. What was the car's speed if the pedestrian met him in 90 minutes? - Car tractor pursuit
Behind the tractor, which travels at 12 km/h, they sent a car 3.5 hours later to catch up with him in 45 minutes. What speed does he have to go? Please also explain the procedure. - Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then? - Achilles and the turtle
It is known that Achilles will not catch up with the turtle. But his brother Auchalles can do it. He even gave the turtle an 8-hour lead. Calculate how far from the start Auchalles will meet a turtle moving at an average speed of 70 m/h if Auchalles walks - Chessboard piece placement
Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares.
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