Are you ready for Beast Academy 2A? Before beginning A student Beast Academy 2A, a ready for Beast student should be able The student Academy 2A should to count beyond 100 by should also know be able to answer at 1’s, 5’s, and 10’s. basic shapes, be able to least 13 of the 17 add and subtract numbers problems below from 1 to 20, and be able correctly. to solve simple word problems. Step 1. The student should try to answer every question without a calculator and without help. Step 2. Check the student’s answers using the solutions at the end of this document. Step 3. The student should be given a second chance on problems answered incorrectly. Fill the blanks to complete each counting pattern below. 1. 1, 2, 3, 4, ____, ____, ____, 8, ____, ____, ____ 2. ____, ____, ____, 22, 23, ____, 25, 26, ____, ____, 29, ____ 3. 10, 20, 30, ____, 50, 60, ____, ____, ____, 100 4. 5, 10, 15, 20, ____, ____, ____, ____, ____, 50 5. ____, ____, 75, 80, 85, ____, 95, _____ Answer each question about the shapes shown below. 6. How many circles are there? 6. ________ 7. How many more circles are there than squares? 7. ________ © 2017, AoPS Incorporated. Are you ready for Beast Academy 2A? Fill the blanks in each problem below. 8. 2+7=_____ 9. 8+12=_____ 10. 4+_____=11 11. 9−6=_____ 12. 17−8=_____ 13. _____−13=6 Solve each problem below. 14. Mike puts 6 pennies in an empty jar. Nelly puts 7 more 14. ________ pennies in the jar. Orson takes all of the pennies out of the jar. How many pennies does Orson take? 15. There are 3 boys and 6 girls in Mr. Hai’s class. How many 15. ________ pencils are needed to give each student in Mr. Hai’s class two pencils? 16. Fill each blank with the same number in the addition problem below. _____+_____+_____=18 17. Fill the empty squares below so that the numbers in each row (left to right) and each column (top to bottom) add up to 20. 8 4 5 11 © 2017, AoPS Incorporated. Are you ready for Beast Academy 2A? Solutions 1. Counting by ones, we have 17. In the top row, we have 8 and 4. We know 8+4=12. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. Since 12+8=20, the missing number in the top row is 8. 2. Counting by ones, we have 8 8 4 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30. 3. Counting by tens, we have 5 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. 11 4. Counting by fives, we have 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. In the left column, we have 8 and 5. We know 8+5=13. 5. Since 13+7=20, the missing number in the left column is 7. Counting by fives, we have 65, 70, 75, 80, 85, 90, 95, 100. 8 8 4 6. We see two groups of 5 circles, plus a circle at each end. 5 7 11 Two groups of 5 is 10, and plus 2 more is 12. So, there In the bottom row, we have 7 and 11. We know 7+11=18. are 12 circles. Since 18+2=20, the missing number in the bottom row is 2. 7. In the previous problem, we counted 12 circles. We also count 9 squares. 8 8 4 5 7 2 11 So, there are 12−9=3 more circles than squares. In the middle column, we have 8 and 2. We know 8+2=10. 8. 2+7=9. Since 10+10=20, the missing number in the middle 9. 8+12=20. column is 10. 10. 4+7=11. 8 8 4 11. 9−6=3. 12. 17−8=9. 5 10 13. 19−13=6. 7 2 11 14. Together, Mike and Nelly put 6+7=13 pennies into the jar. Orson takes all of the pennies. So, Orson takes 13 In the middle row, we have 5 and 10. We know 5+10=15. pennies. Since 15+5=20, the missing number in the middle row is 5. 15. All together, there are 3+6=9 students in Mr. Hai’s class. Each of the 9 students gets 2 pencils. So, we add nine 2’s 8 8 4 to get the total number of pencils needed: 5 10 5 2+2+2+2+2+2+2+2+2=18. or 7 2 11 Adding nine 2’s is the same as adding two 9’s. So, 9+9=18 pencils are needed. 16. We start by trying a number that is easy to add, such as 5. Adding three 5’s gives 5+5+5=15. 15 is too small, so we try adding a larger number. Adding three 6’s gives 6+6+6=18. This is the correct result! So, we fill each blank with 6. © 2017, AoPS Incorporated.