Title Grade 6.pdf ✅

34 Your full name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . PRACTICE TEST 2 GRADE 6 INSTRUCTION Please read all the instructions below carefully. 1 Please DO NOT OPEN the contest booklet until the Proctor has given permis- sion. 2 TIME: 1 hour 30 minutes 3 Attempt all 25 questions. Each question scores 1 point. No points are de- ducted for incorrect answers. 4 Write your answers neatly in the answer sheet in the booklet. 5 PROCTORING: No one may help any student in any way during the contest. 6 No calculators are allowed. 7 All students must fill in your Name, Class and School. 8 MINIMUM TIME: Students must stay in the exam hall at least 1h 15 min. 9 Students must show detailed working and put answers in the answer sheet. 10 No spare papers can be used in writing this contest. Enough space is provided for your working of each question. Remark. Counting numbers are whole numbers except 0, i.e. 1, 2, 3, 4, 5, ... GOOD LUCK! Pioneer Education Preparing for AMO 2023
35 1 Multiple-choice questions (3 points each) Question 1. The value of 1 0.04 is A 15 B 20 C 25 D 40 E None of the above Question 2. How many digit 1 are there in the value of following expression? A = 9 + 99 + 999 + . . . + 999 . . . 9 | {z } 10 digits 9 . A 7 B 8 C 9 D 10 E None of the above Question 3. Five students entered a contest where they guessed how many marbles were in a jar. The person with the closest guess won the contest. • Angela guessed 198 marbles. • Bob guessed 205 marbles. • Cynthia guessed 209 marbles. • Derrick guessed 213 marbles. • Eileen guessed 215 marbles. Two of the students were 3 away from the actual number of marbles. Who won the contest? (In your answer, put 001 for Angela, 002 for Bob, 003 for Cynthia, 004 for Derrick, 005 for Eileen) A 001 B 002 C 003 D 004 E 005 Question 4. What is the greatest number of 3 × 3 × 2 bricks that will fit in a box that has dimensions 13 × 8 × 4 without exceeding the dimensions of the box? 13 8 4 Preparing for AMO 2023 Pioneer Education
36 A 23 B 24 C 16 D 8 E None of the above Question 5. How many 3-digit numbers are there that are one more than a multiple of 9, 1 more than a multiple of 8, and 1 less than a multiple of 10? A 6 B 1 C 2 D 4 E None of the above Question 6. It takes 12 workers exactly 2 hours to build a total of 60 widgets. Work- ing at the same rate, find the number of minutes it would take 1 worker to build 1 widget. A 600 B 150 C 400 D 200 E None of the above Question 7. If 5 6 of a number is 30 , what is 3 4 of the number? A 22.5 B 24 C 25 D 27 E None of the above Question 8. If the area of the square ABCD is 4544 cm2 ., find the area of the shaded region. The dots on the sides represent mid-points. A B D C A 568 B 142 C 71 D 284 E None of the above Pioneer Education Preparing for AMO 2023
37 Question 9. Find the missing term in the following pattern 1, 1, 2, 5, 29, . . .? . . . A 120 B 250 C 637 D 866 E None of the above Question 10. The first January, 1929 was on Tuesday. What day of the week was October 1st of the same year ? A Tuesday B Wednesday C Thursday D Friday E None of the above Question 11. Find the ratio of the least and the greatest four digit numbers which are exactly divisible by 34. A 5 49 B 7 17 C 1 10 D 1 98 E None of the above Question 12. 90% of the boys of a school pass in English and 85% in Arithmetic, 150 boys pass in both the subjects and no boy fails in both. How many boys are there in the school? A 180 B 220 C 250 D 300 E None of the above Question 13. Six lines drawn from a given point 0 intersect another line XY as given in the following figure. Find the total number of triangles formed. Preparing for AMO 2023 Pioneer Education