Maths practice for 14 year olds - page 276 of 362
Number of problems found: 7225
- Cruise liner
The cruise liner runs along the river between points A and B. The journey downstream takes 40 minutes and 1 hour upriver. The flow rate of the river is 3 km/h. What is the speed of a cruise liner? - Moon
We see the Moon from the perspective angle 28'. At the time of the full Moon, the Moon's radius is 1740 km. Calculate the mean distance of the Moon from the Earth. - Forces
Forces with magnitudes F1 = 42 N and F2 = 35 N act at a common point and make an angle of 77°12'. How big is their resultant? - Skiing meeting
Four friends came to the skiing meeting from 4 world directions and led the next interview. Charles: "I did not come from the north or from the south." Mojmir: "But I came from the south." Joseph: "I came from the north." Zdeno: "I come from the south." W - Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m - Ravens
On two trees sits 17 ravens. If three ravens flew from the first to the second tree and five ravens took off from the second tree, then the first tree has two times more ravens than the second tree. How many ravens were originally on every tree? - Circle in rectangle
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle? - Square root sum
Determine the sum of the square roots of the number 12. - Exponent value
Determine x if 3^x: 3²996 = 81 - Percentage calculation
0.6 percent of n is 18. calculate n. - Car speeds
The distance from Nitra to Ostrava is 257 km. From both places, two cars drove towards each other at the same time. The car from Nitra drove 800 m/h slower than the car from Ostrava. What was the average speed of each car if they met after 150 minutes of - Triangle angles
Calculate the size of the interior angles of a triangle if the size of the second angle is 120 degrees less than twice the size of the first angle and the size of the third angle is equal to the difference between the sizes of the first and second angles. - Bar cuts
Peter cut the two bars into equal parts but made them as large as possible. One rod measured 42 cm, the other 63 cm. How many cuts did he have to make? - Goal divisions
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Field planting
The 102-hectare field is to be sown with flax and planted with potatoes. The area sown with flax should be three times smaller than the exchange planted with potatoes. Which acreage should be planted with flax, and which should be planted with potatoes? - Wall diagonal
Calculate the length of the face diagonal of the cube, whose surface is 384 cm square. - Dried apples
How many kilograms of fresh apples are needed for 120 kg of dried apples when we get 75 kg of dried apples from 0.4 tons of fresh apples? - 925 USD
Four classmates saved an annual total of 925 USD. The second saves twice as the first, the third 35 USD more than the second, and the fourth 10 USD less than the first. How does USD save each of them? - Number probability
There are numbers from 1 to 20 in the hat. What is the probability that we will pull out from the hat: a / one-digit number b / prime number c / number greater than 11 d / a number divisible by six Thank you - Alcohol preparation
We want to prepare 200 g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need?
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