Number theory
What is the least common multiple of 12 and 18?
36
If the area of a circle is 78.5 cm², what is the radius of the circle? (Use π≈3.14)
5 cm (Area = πr2)
2(x−3)+5=17
x=9
Convert the fraction 7/8 to a decimal.
0.875
What is the next number in the sequence: 1, 4, 9, 16, ___?
25
If the prime factorization of a number is 23 × 52, what is the number?
200
What is the perimeter of a square with a side length of 12 cm?
48 cm
3x+7=2x+12
x=5
5/6 × 2/3
5/9
What is the 8th term of the sequence: 5, 8, 11, 14, ___?
26
What is the sum of the first 10 prime numbers?
129
A cylinder has a radius of 3 cm and a height of 8 cm. What is the volume of the cylinder? (Use π≈3.14)
226.08 cm³
4(x+2)=3(x−5)+12
x=−11
3.5 × 4.2 (no calculator)
14.7
What is the sum of the first 15 odd numbers?
225
What is the greatest common divisor (GCD) of 56 and 98?
14
If a triangle has base 10 cm and height 6 cm, what is its area?
30 cm²
3x−7/2=5
x=17/3
Simplify 15/25
3/5
Find the 6th term of the geometric sequence: 2, 6, 18, 54, ___?
162
What is the value of 5/8 × 4/7?
5/14
The surface area of a cube is 216 cm². What is the length of one side?
6 cm
2/(x+3)=4/(x-1)
x=−7
1.6÷0.4 (no calculator)
4
Find the 6th term in the sequence:
3,6,12,24,…
96