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Math worksheet generator

Build a printable AMC-style set by topic and difficulty. Every worksheet includes multiple-choice questions and a worked answer key.

Mathbound · Contest practice

Mixed topics worksheet

Mixed difficulty

Name

Date

1.
Right triangle with legs $9$ and $12$ . Hypotenuse?
- A.3
- B.16
- C.14
- D.21
- E.15
2.
Circle radius $15$ . Chord length $18$ . Distance from center to chord?
- A.9
- B.12
- C.6
- D.13
- E.15
3.
What is the maximum product of positive integers that sum to $36$ ?
- A.262144
- B.531439
- C.531441
- D.531444
- E.531442
4.
An item costs $56$ . After a $10\%$ discount (no tax), how much is paid?
- A.51.40
- B.6
- C.50.40
- D.46
- E.56
5.
How many positive divisors does $45$ have?
- A.5
- B.6
- C.8
- D.7
- E.45

Answer key · worked solutions

1. E. 15
Pythagorean theorem. $\sqrt{9^2+12^2}$ . $15$ .
2. B. 12
Right triangle: half-chord, radius, distance. $\sqrt{15^2-9^2}$ . $12$ .
3. C. 531441
Prefer parts equal to $3$ (use $2$ s when needed; avoid $1$ s). Partition $36$ optimally. $531441$ .
4. C. 50.40
Multiply by $(1-d)$ . $56(1-10/100)$ . $50.40$ .
5. B. 6
Factor and use $\prod(e_i+1)$ . Count divisors of $45$ . $6$ .

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Free AMC Math Worksheet Generator — Mathbound