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Pre-Algebra Mastery Challenge

Pre-Algebra

Test your knowledge of core Pre-Algebra concepts with these challenging questions.

arithmetic algebra geometry problem-solving
18 Questions Hard Ages 9+ Aug 2, 2026

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About this Study Set

This study set covers Pre-Algebra through 18 practice questions. Test your knowledge of core Pre-Algebra concepts with these challenging questions. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 18 questions from the Pre-Algebra Mastery Challenge study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the prime factorization of 72?
  • A 2³ × 3²
  • B 2² × 3³
  • C 2⁴ × 3
  • D 2 × 3⁴
2 If x + 7 = 15, what is the value of x?
  • A 8
  • B 22
  • C 10
  • D 6
3 What is the greatest common divisor (GCD) of 48 and 64?
  • A 16
  • B 8
  • C 12
  • D 4
4 What is the area of a rectangle with a length of 9 cm and a width of 5 cm?
  • A 45 cm²
  • B 14 cm²
  • C 28 cm²
  • D 19 cm²
5 If a number is divisible by both 3 and 5, it is also divisible by:
  • A 15
  • B 8
  • C 2
  • D 6
6 What is the value of 5² + 3³?
  • A 52
  • B 34
  • C 15
  • D 32
7 Solve for y: 3y - 4 = 11
  • A 5
  • B 7
  • C 15
  • D 3
8 What is the least common multiple (LCM) of 6 and 8?
  • A 24
  • B 12
  • C 48
  • D 2
9 What is the perimeter of a square with a side length of 7 meters?
  • A 28 meters
  • B 49 meters
  • C 14 meters
  • D 21 meters
10 If a recipe calls for 2 cups of flour for every 3 eggs, how many eggs are needed for 6 cups of flour?
  • A 9 eggs
  • B 4 eggs
  • C 12 eggs
  • D 3 eggs
11 What is the value of the expression 10 ÷ 2 + (5 × 3)?
  • A 20
  • B 18
  • C 35
  • D 25
12 What is the absolute value of -12?
  • A 12
  • B -12
  • C 0
  • D 1
13 If the ratio of boys to girls in a class is 3:4, and there are 12 boys, how many girls are there?
  • A 16 girls
  • B 9 girls
  • C 7 girls
  • D 48 girls
14 What is the volume of a cube with a side length of 3 inches?
  • A 27 cubic inches
  • B 9 cubic inches
  • C 18 cubic inches
  • D 36 cubic inches
15 What is the next number in the sequence: 5, 10, 20, 40, ...?
  • A 80
  • B 60
  • C 160
  • D 45
16 If 25% of a number is 10, what is the number?
  • A 40
  • B 250
  • C 15
  • D 35
17 What is the value of 4(x + 2) when x = 3?
  • A 20
  • B 12
  • C 10
  • D 28
18 What is the average of the numbers 10, 15, and 20?
  • A 15
  • B 10
  • C 20
  • D 45
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