number theory and integers
find the greates common divisor of 18 and 24
6
If 3x = 15, calculate x² − 4.
21
find the area of the rectangle with perimeter 20cm and one side is 4cm
24 cm²
Calculate 20% of 150.
30
Find the next number: 2, 5, 10, 17
26
find the least common multiple of 6 and 15
30
solve: 2(x+3)=x+11
x=5
find the perimeter of a square with area of 36 cm².
24cm
Write a ratio equivalent to 2 : 5 that has a total of 21 parts.
6:15
Find the next number: 1, 1, 2, 4, 7
11
find a number that gives remainder 2 when divided by 5 and remainder 1 when divided by 3
7
5x-2=3x+10
x=6
find the perimeter of an triangle 2.5cm , 3.8cm , and 6cm
12.3cm
A jacket costs €80. Its price is increased by 15%, and then a discount of 10% is applied. What is the final price?
82€
A number is multiplied by 3 and then 6 is added to get 27.
7
find the smallest positive integer divisible by 4,6 and 9
36
(x-1):3+2=x:2
x=14
A rectangle has length twice its width and perimeter 36 cm. Find its area.
Width = 6 cm, length = 12 cm → 72 cm²
Three notebooks cost €4.50. How much do seven notebooks cost?
€10.50
Two numbers differ by 8 and their sum is 26, Find the larger number.
17
find the integer between 50 and 80 that is divisible by 6 and whose digits add up to 9
54
if x is 2x=x+6 Find the value of x² − 4x.
A square and a rectangle have the same perimeter.
The rectangle has sides 8 cm and 10 cm.
Find the difference between their areas.
1 cm²
A recipe calls for sugar and flour in the ratio 3 : 4. If you use 450 g of sugar, how much flour do you need?
600g
In a class, the ratio of boys to girls is 3 : 5.
There are 16 more girls than boys.
Find the total number of students.
40