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Mathbound · Contest practice

Mixed topics worksheet

Level 1

Name

Date

1.
Solve for $x$ : $3x+11=26$ .
- A.5
- B.26
- C.6
- D.11
- E.4
2.
An item costs $40$ . It is discounted $25\%$ , then $8\%$ tax is applied to the discounted price. How much is paid?
- A.43
- B.34.40
- C.32.40
- D.30.90
- E.30
3.
How many positive divisors does $27$ have?
- A.6
- B.3
- C.4
- D.7
- E.5
4.
An item costs $40$ . After a $10\%$ discount (no tax), how much is paid?
- A.37.00
- B.4
- C.36
- D.30
- E.40
5.
What is the sum of the first $20$ positive integers?
- A.230
- B.40
- C.400
- D.210
- E.209

Answer key · worked solutions

1. A. 5
Isolate $x$ . $3x=26-11$ . $5$ .
2. C. 32.40
Discount first, then tax. $40\cdot(1-25/100)\cdot(1+8/100)$ . $32.40$ .
3. C. 4
Factor and use $\prod(e_i+1)$ . Count divisors of $27$ . $4$ .
4. C. 36
Multiply by $(1-d)$ . $40(1-10/100)$ . $36$ .
5. D. 210
$n(n+1)/2$ . $20(20+1)/2$ . $210$ .

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Free AMC Math Worksheet Generator — Mathbound