Advanced High School Basic Mathematics

Basic Math

Challenging, fact-based questions aligned with advanced high school mathematics curricula, covering algebra, geometry, number theory, and statistics.

Algebra Geometry Number Theory Statistics High School Math

10 Questions Hard Ages 14+ Aug 27, 2026

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About this Study Set

This study set covers Basic Math through 10 practice questions. Challenging, fact-based questions aligned with advanced high school mathematics curricula, covering algebra, geometry, number theory, and statistics. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 10 questions from the Advanced High School Basic Mathematics study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the value of the discriminant of the quadratic equation 3x² - 5x + 2 = 0?

A 1
B -1
C 25
D 13

2 In a standard deck of 52 playing cards, what is the probability of drawing a face card (King, Queen, or Jack) on the first draw?

A 3/13
B 1/4
C 1/13
D 1/2

3 What is the sum of the interior angles of a regular octagon?

A 1080°
B 1440°
C 720°
D 900°

4 If a number is divisible by both 3 and 5, what is the smallest positive integer it must also be divisible by?

A 15
B 8
C 30
D 45

5 What is the formula for the nth term of an arithmetic sequence?

A a_n = a_1 + (n-1)d
B a_n = a_1 * r^(n-1)
C a_n = a_1 + nd
D a_n = a_1 * (1-r)^n

6 What is the circumference of a circle with a radius of 7 units, using π ≈ 22/7?

A 44 units
B 154 units
C 22 units
D 49 units

7 What is the prime factorization of 72?

A 2³ * 3²
B 2² * 3³
C 2 * 3 * 4 * 6
D 8 * 9

8 What is the median of the dataset: {4, 7, 2, 9, 5}?

9 What is the value of cos(90°) in radians?

A 0
B 1
C π/2
D undefined

10 If two lines are perpendicular and the slope of one line is -1/2, what is the slope of the other line?

A 2
B 1/2
C -2
D -1/4

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