Maths practice for 14 year olds - page 210 of 375
Number of problems found: 7498
- Cyclist pursuit
The pedestrian walks at a speed of 4.3 km/h. In 1 hour and 10 minutes, a cyclist followed him at an average 18 km/h speed. How many minutes will a cyclist reach a pedestrian, and how many kilometers will he travel? - Race Stages Length Percentage
The race was divided into four stages. The length of Stages 1 and 4 was 160 km. The length of the second stage represented a third of the total length of the race. The length of the 4th stage was twice as long as the third stage. What percentage of the to - Book line length
If there were 48 lines 10 cm long on each page, the book would have exactly 100 pages. How many 12cm long lines would be on each page for a book to have 80 pages? - Rectangle Side from Diagonal
Calculate the other side of the rectangle if one side and the length of the diagonal are known: a = 3cm u = 5cm b =? - Cows and calves
There are 168 cows and calves in the cowshed. Cows are in nine stalls, and calves are in four stalls. The same count of cows is in every cow stall, and three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows, and wha - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he - Cone Radius Sector Angle
Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °. r = ?, o =? - Red diplomas
The number of students with honors in 2013 and 2014 is in a ratio of 40:49. How big is the year-on-year percentage increase? - Different Colored Necklaces
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create? - Competition Teams Member
There were a total of 50 teams in the competition. Eight teams were four-member, the rest three-member and two-member. How many teams were three-member when 134 people took part in the competition? - Sheep and cows
There are only sheep and cows on the farm. Sheep are eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm? - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Triangle Side Lengths Probability
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.) - Football card distribution
Tomas was to distribute 259 cards with pictures of football players among three friends. And each subsequent friend had to get 2x more cards than the previous one. How many cards did the other friend receive? - Cars Meeting Speed Difference
The distance between cities A and B is 125 km. Two cars start from these places at the same time. The difference in their speed was 3 km/h. They met in an hour. What was the speed of each car? - The blue
The blue and red coats originally cost the same. Then red prices rose by 27%, and blue prices fell by 87%. Then their price differed by CZK 300. How much did the originally blue coat cost? - Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=? - Candies
In the confectionery, the price for 1 kg of pistachio candies cost CZK 360, and the price for 1 kg of hazelnut candies was CZK 280. Mixing these two types of sweets created a box of chocolates. How many grams of pistachios and hazelnut candies were in the - The dormitory
The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples. - Table Tennis Tournament Matches
Eight players took part in the table tennis tournament. The tournament system allows players to play with each other only once. How many matches will take place in this tournament?
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