Maths practice for 14 year olds - page 269 of 319
Number of problems found: 6361
- Beer permille
In the 5 kg of the blood of an adult human after three 10° beers consumed in a short time is 6.6 g of alcohol. How much is it per mille?
- Two pipes
One pipe fills one-fifth of the volume 20 minutes before my second one. The two pipes together will fill the tank in two hours. How long will each pipe fill the tank separately?
- Passenger car and truck
From Kutna Hora left at 11:00 clock a truck at 60 km/h. At 12:30, behind him started the passenger car at an average speed of 80 km/h. At what time and how far from Kutna Hora overtake a passenger car truck?
- 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?
- Forgets 2612
It happens to Dorothy that when filling the bath with water, she forgets to put a plug in the drain. The bath would fill up in 20 minutes if the drain were blocked. A full tub would be emptied through the drain in 30 minutes. How long will it take Dorothy
- 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.
- 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 a = 72cm and, v = 4.3cm, b = 6cm.
- 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
- Shoes and slippers
Shoes were three times as many as slippers. If shoes were cheaper by 120, they would be twice as expensive as slippers. How much did the shoes cost, and how much did the slippers?
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