Maths practice for 14 year olds - page 318 of 369
Number of problems found: 7366
- Cyclist vs car
The cyclist rode out of the city at 18 km/h. One hour 30 minutes behind him started the car and caught up with the cyclist in 50 minutes. How fast was driving the car? Where (what kilometer) from the city car overtook a cyclist? - Sebastian
Sebastian walks at 6 km/h starting at 8:00 from Kovalov toward Kuty. From Kuty, the godfather drives at 50 km/h and starts at 8:30. The distance is 24 km. When and where will Grandfather take Sebastian to the car? - Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out? - O'clock 2614
One pump fills the school pool in 15 hours. The school bought another pump that would fill the pool in 10 hours. What is the latest time to start filling the pool if they want to have it filled at eight o'clock in the morning and use both pumps? - Determine 2611
1. Determine a number with the same result if we multiply it by ten as if we add 10 to it. 2. Věra is twice as old today as her sister Jitka. In five years, Jitka will be only 1/3 years younger than Věra. How old are Věra and Jitka today? 3. Find the pair - Novak
Novak needed to dig up three of the same pit in the garden. The first pit was dug father alone for 15 hours. His second dig son helped him, and it did that in six hours. The third pit was dug son himself. How long does it take him? - Cyclist
The cyclist rode two-fifths of the way the first day. On the second day drove 5 km less while traveling three-eighths of the route. How many kilometers does he have to finish the target? - Inspected 2607
The worker checked 4,950 products in three days. He inspected 25% more products on the second day than on the first day. He inspected 16% fewer products on the third day than on the second day. How many products did he check on each day? - Equation 2604
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3. - Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square. - Circumference parallelogram
Calculate the circumference and area of the parallelogram ABCD if side a = 72 cm, height v = 4.3 cm, and second side b = 6 cm. - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - Trucks
The truck takes you some amount of clay in 30 hours. The second truck takes the same amount of clay in 40 hours. Trucks carted the clay away some time together, then the second truck broke down, and the first one completed the job in five hours. What time - Isosceles 2588
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that - Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Backpack carrying
Aleš, Karel, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Karel carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the second s
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