Arithmetic progression - practice for 14 year olds - page 2 of 6
Number of problems found: 105
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Finite arithmetic sequence
How many numbers should be inserted between the numbers 1 and 25 so that all numbers create a finite arithmetic sequence and that the sum of all members of this group is 117? - The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives? - Calculate 22653
In a geometric sequence, the first term is 5, and the quotient is 4. Calculate the 4th, 6th, and 10th members of this sequence.
- Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones. - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers. - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Pine's forest
There were so many pines in the forest that they were sequentially numbered 1, 2, 3,..., and would use three times more digits than the pine trees alone. How many pine trees were there in the forest?
- Curiosity factor
A blogger starts a new website. Initially, the number of traffic was 293 due to their curiosity factor. The business owner estimated that the traffic would increase by 2,6% per week. What will be the number of it in week 5? - Seed germination
Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants? - Distribute 7988
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? - The sum AP with rule
Find the sum of all natural numbers between 1 and 100, which are divisible by 2 or 5 - Mathematics 7775
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav
- Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern - Toys 3
Tiffany's toyshop received a shipment of 360 toys. On the first day, 12 were sold the second day, 19 were sold; and on the third day, 26 were sold. How many days will the toyshop run out of toys? - Nineteenth member
Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19 - Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z.
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Arithmetic progression - practice problems. Maths practice for 14 year olds.