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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.
Solve for $x$ : $3x+2=26$ .
- A.8
- B.26
- C.9
- D.2
- E.7
2.
What is the sum of the first $7$ positive integers?
- A.49
- B.28
- C.27
- D.35
- E.14
3.
Solve for $x$ : $3x+11=23$ .
- A.5
- B.11
- C.3
- D.4
- E.23
4.
Positive integer solutions to $x_1+\cdots+x_{6}=16$ ?
- A.2997
- B.20349
- C.8008
- D.3004
- E.3003
5.
Circle radius $10$ . Chord length $12$ . Distance from center to chord?
- A.8
- B.4
- C.9
- D.10
- E.6
6.
Define $a_1=1$ , $a_2=2$ , and $a_{n+2}=|a_{n+1}-a_n|+1$ for $n\ge1$ . What is $a_1+a_2+\cdots+a_{100}$ ?
- A.148
- B.150
- C.152
- D.154
- E.156
7.
Solve for $x$ : $3x+8=35$ .
- A.35
- B.10
- C.8
- D.9
- E.z4
8.
A frog starts at pad $0$ and jumps $+1$ or $+2$ each move. Pad $15$ is unsafe. How many jump sequences reach pad $22$ without landing on pad $15$ ?
- A.28657
- B.7929
- C.7930
- D.7932
- E.7931
9.
What is $\operatorname{lcm}(24,42)$ ?
- A.192
- B.168
- C.126
- D.1008
- E.6
10.
What is the sum of the first $19$ positive integers?
- A.190
- B.189
- C.209
- D.38
- E.361

Answer key · worked solutions

1. A. 8
Isolate $x$ . $3x=26-2$ . $8$ .
2. B. 28
$n(n+1)/2$ . $7(7+1)/2$ . $28$ .
3. D. 4
Isolate $x$ . $3x=23-11$ . $4$ .
4. E. 3003
$\binom{N-1}{k-1}$ . $\binom{15}{5}$ . $3003$ .
5. A. 8
Right triangle: half-chord, radius, distance. $\sqrt{10^2-6^2}$ . $8$ .
6. B. 150
The sequence becomes periodic after a short prefix. Compute until repetition; sum one period and scale to $100$ terms. $150$ .
7. D. 9
Isolate $x$ . $3x=35-8$ . $9$ .
8. C. 7930
Fibonacci with a zeroed forbidden state. DP with $F(15)=0$ . $7930$ .
9. B. 168
$\operatorname{lcm}(a,b)=ab/\gcd(a,b)$ . $\gcd=6$ . $168$ .
10. A. 190
$n(n+1)/2$ . $19(19+1)/2$ . $190$ .

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