math quiz

Number theory

100

What is the least common multiple of 12 and 18?

36

200

If the prime factorization of a number is 2³ × 5², what is the number?

200

300

What is the sum of the first 10 prime numbers?

129

400

What is the greatest common divisor (GCD) of 56 and 98?

14

500

What is the value of 5/8 × 4/7?

5/14

Geometry

100

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)

200

What is the perimeter of a square with a side length of 12 cm?

48 cm

300

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

400

If a triangle has base 10 cm and height 6 cm, what is its area?

30 cm²

500

The surface area of a cube is 216 cm². What is the length of one side?

6 cm

Algebra

100

2(x−3)+5=17

x=9

200

3x+7=2x+12

x=5

300

4(x+2)=3(x−5)+12

x=−11

400

3x−7/2=5

x=17/3

500

2/(x+3)=4/(x-1)

x=−7

Fractions and Decimals

100

Convert the fraction 7/8 to a decimal.

0.875

200

5/6 × 2/3

5/9

300

3.5 × 4.2 (no calculator)

14.7

400

Simplify 15/25

3/5

500

1.6÷0.4 (no calculator)

4

Sequences

100

What is the next number in the sequence: 1, 4, 9, 16, ___?

25

200

What is the 8th term of the sequence: 5, 8, 11, 14, ___?

26

300

What is the sum of the first 15 odd numbers?

225

400

Find the 6th term of the geometric sequence: 2, 6, 18, 54, ___?

162

500

Find the 6th term in the sequence:
3,6,12,24,…

96