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96 Your full name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . PRACTICE TEST 2 GRADE 8 INSTRUCTION Please read all the instructions below carefully. 1 Please DO NOT OPEN the contest link until the Proctor has given permission to start. 2 There are a total of 25 questions, which are divided into three parts. In the first part, choose only ONE correct answer among the 5 choices and darken its corresponding circle in your answer sheet. In the second part and third part, write the final answer for each question and darken their corresponding circles in your answer sheet. 3 Write your answers in the respective blank. • When the answer is a 1-digit number, type “000” for the tens, the hundreds and the thousands place. Example: if the answer is 7, then type 0007. • When the answer is a 2-digit number, type “00” for the hundreds place and the thousands place. Example: if the answer is 23, then type 0023. • When the answer is a 3-digit number, type "0" for the thousands place. Ex- ample: if the answer is 191, then type 0191. • When the answer is a 4-digit number, type as it is. Example: if the answer is 6419, then type 6419. 4 Dictionaries are allowed, but calculators are not. 5 Figures may not be drawn to scale. Remark. Counting numbers are whole numbers except 0, i.e. 1, 2, 3, 4, 5, ... GOOD LUCK! Pioneer Education Preparing for AMO
97 1 Multiple-choice questions (3 points each) Question 1. Each day, Jenny ate 20% of the jellybeans that were in her jar at the beginning of that day. At the end of the second day, 32 remained. How many jellybeans were in the jar originally? A 40 B 50 C 55 D 60 E 75 Question 2. Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $12.48, but in January her bill was $17.54 because she used twice as much connect time as in December. What is the fixed monthly fee? A $2.53 B $5.06 C $6.24 D $7.42 E $8.77 h AMO Vietnam
98 Question 3. Given that −16 ≤ 2(y − 7) ≤ 0 and −7 ≤ x ≤ 8, find the least possible value of xy. A 0 B 8 C 12 D 56 E None of the above Question 4. In rectangle ABCD, AD = 1, P is on AB, and DB and DP trisect ∠ADC. What is the perimeter of 4BDP? A P B D C A 3 + √ 3 3 B 2 + 4 √ 3 3 C 2 + 2√ 2 D 3 + 3√ 5 2 E 2 + 5 √ 3 3 Pioneer Education Preparing for AMO
99 Question 5. Father’s age is six times his son’s age. In four years, the age of the father will be four times of his son’s age. The current ages of the son and the father is: A 4 and 24 B 5 and 30 C 6 and 36 D 3 and 24 E None of the above Question 6. If |x − 2| = p, where x < 2, then x − p = A −2 B 2 C 2 − p D 2p − 2 E 2 − 2p h AMO Vietnam

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