Competitions
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Mathematics Competitions is a program of The Mathematical Association of
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1. Margie 3 apples at Asha? a cost of 50 cents per apple. She paid with a 5-dollar day didbought Sasha study than bill. How much change did Margie receive?
Sample questions from the AMC 8
27th AMC 8 2011 120
2
1. Margie bought 3 apples at a cost of 50 cents per apple. She paid with a 5-dollar 100 bill. How much change did Margie receive? M
(A)$1.50 8 80(B) 9 $2.00 (C) 10(C) $2.50 (D) 11 (D)(E) 12 (A) (B) $3.00 I
(E) $3.50
N 60
U rectangular 20. Quadrilateral ABCD is a trapezoid, 50,Makenna’s BC = 20,isand 2. Karl’s vegetable garden is 20AD feet=by15, 45AB feet,=and 25 the T 40 feet. Whose garden is larger in area? feet by altitude is4012. What is the area of the trapezoid? E
50 (A) Karl’s garden larger by(C) 100$2.50 square feet. S $1.50 (B) is $2.00 (D) $3.00 B (E) $3.50 A 20 27th AMC 8 2011 6 (B) Karl’s garden is larger by 25 square feet. 14. There are 270 students at Colfax Middle theand ratioMakenna’s of boys to isgirls 2. Karl’s rectangular vegetable garden is 20School, feet bywhere 45 feet, 25 0 (C) The gardens are the same size. is 5 :by 4. 40 There 180 at Winthrop where feet feet. are Whose garden isTu larger in area? Th F the ratio of M students W Middle School, 20 boysMakenna’s to girls is 4garden : 5. The two schools hold from both (D) is larger by 25 square feet. and all students 12 a dance 15 (A) Karl’s garden is larger by of 100the square feet.at the dance are girls? schools attend. What fraction students (A) Makenna’s 6 (B) 8garden (C) 9 (D) 10 square (E)feet. 12 is larger by 100 (E) (B) Karl’s garden7is larger by2225 square feet. 23 1 7 (E) (D) (C) (B) (A) 45 around a square table, 2 45 15 18 (C) The gardens are the same size. 12. Angie, Bridget, Carlos, andofDiego are and seated random 3. Extend the square pattern 8 black 17 at white square tiles by attaching a one person to a side. What is the probability that Angie and Carlos Care border of blackDtiles around the square. What is the ratio of black tiles to seated white (D) Makenna’s garden is larger by 255square feet. 15. tiles How in many digits are pattern? in the product 4 · 510 ? opposite each other? the extended (E) Makenna’s garden is larger by 100 square feet. 1 650 1(C) 700 2 (D)(E) (A) 1600 (B)(B) 7503 (E) 800 (A) (C) (D) (B) 9 (C)10 (D) 11 (E) 15 (A) 8 4 3 2 3 4 3. Extend the square pattern of 8 black and 17 white square tiles by attaching a 21. Let Students guess that agesquare. is 24, 28, 32, 36, 38,of 41, 44, 49. 16. A be area of around aNorb’s triangle sides of30, length 25, 25, and 30. 47, Letand B be theNorb of the black tiles thewith What is theside ratio black tiles tooverlap white 13. border Two congruent squares, ABCD and Ptoo QRS, have length area of a triangle with length 25, 25, and is15. the relationship says,in “At least half ofsides you of guessed low, two40.of What you are offThey by one and my tiles the extended pattern? to form theand 15 by? 25 rectangle AQRD shown. What percent of the area of between age is a A prime B number.” How old is Norb? rectangle AQRD is shaded? 3 4 16 9 (A)8A29 (B) (C)B37 (E) (B) = (C)(D) A =43 B (D) (D) = B (E)(E) (A) (A) :=1716 B (B)31 25 :A49 32QA :48 17 36 :A17= 9 B A 4 (C) 36P: 25B 3
American Mathematics Competitions 8 Register now for the middle school level AMC 8 held in November of each year! Details inside.
22. What tens digit of 7numbers. 4. Here listand of zthe numbers of ?fish If that nine outings last 17. Let w,is is x,a the y, be whole 2w Tyler · 3x · 5ycaught · 7z = in 588, then what does summer: 2w + 3x + 5y + 7z equal? (A) 0 (B) 1 (C) 3 2, 0,(D) 4 3, 3,(E) 1, 3, 0, 1, 2. 7 25 25 : (C) 35 (E) 32 56 : 17 (A) 821: 17 (B)(B) 49 27 (C) (D) 36 : 25 (D) (E) 36 : 17 Which statement about the mean, mode, and median of these numbers is true? 2011
median mean mode mean < probability mode < median 18. A fair diethe is < rolled twice. What isC the that the first number 4. (A) Here issix-sided a list< of numbers of (B) fish Tyler caught in nine outings last S that R D that comes up is greater than or equal to the second number? summer: (C) mean < median < mode (D) median < mode < mean 2, 0, 1, 3, 0, 3, 3, 1, 2. (A) 15 (B) 18 (C) 20 (D) 24 (E) 25 (E) mode < median < mean Which statement about the mean, mode, and median of these numbers is true?
Answers: 1) E
2) E
12) B
16) C
22) D
American Mathematics Competitions
is(A) a program of The Association of mean America
