Maths practice for 14 year olds - page 366 of 379
Number of problems found: 7567
- Bonus
The gross wage was 1222 EUR, including the 14% bonus. How many EUR were bonuses? - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan? - IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long. - Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field? - Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?
- n-gon
Gabo draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon? - Sea water
Mixing 63 kg of seawater with 43 kg rainwater is created water containing 2.7% salt. How much percent of seawater contains salt? - Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc - Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get? - Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium? - Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil - Bath
There are 30 liters of hot water in the bath. Then we added 36 liters of cold water at a temperature of 19 °C and decreased the temperature of the water to 41 °C. What was the initial temperature of the hot water? - IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
- Scrap
From 18 products are 5 scraps. What is the probability that the random pick of 2 products has no defective product? - Sequence
In the arithmetic sequence, is a1=-8, d=-3. Which member is equal to the number -155? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Toys
3 children pulled 12 different toys from a box. How many ways can toys be divided so each child has at least one toy? - Spherical cap
From the sphere with a radius of 26 was a truncated spherical cap. Its height is 2. What part of the volume is a spherical cap from the whole sphere?
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