3. If there are 12 boys belonging to a class and 8 are present, how many are absent?

4. If there are 11 crows on a tree and 6 fly away, how many will be left?

5. Bertha had 13 cents and spent 7 cents. How much had she left?

6. I sold some wheat for 15 dollars which cost me 6 dollars. What was my gain?

7. Mary is now 16 years old. How old was she 8 years ago?

8. Mr. A. having 12 sheep sold 9. How many had he remaining?

9. Ann has 12 books and Julia has 7. How many more must Julia have to make her number equal Ann's. 10. Of 17 sheep which were in a fold 9 escaped; how many remained in the fold?

11. A hunter shot 16 rabbits and 15 partridges on Monday, and on Tuesday he shot 7 rabbits and 8 partridges. How many more of each did he shoot on Monday than on Tuesday?

12. Exercise in rapid addition and subtraction:

1. 98-69-3-4+6-10+8=?

2. 16-84-6+3+8-12+8+7=?

3. 19 127-14+6-3+17-10+5+1=? 4. 1+2+3+4-5+6+7+2-10+3-8=? 5. 20-2-3-4-5+17-9+8-2=?

6. 5+5+5-2-2-2+9-3-3-3-1=? 7. 17-96-5-1+7-3+4-7+9=?

8.7+7+3+2-1-2-3-4+6−4+2=?

TO THE TEACHER.-Read this exercise slowly, have the whole class work silently, and require pupils to give results individually. Similar exercises should be given frequently.

LESSON X.

Miscellaneous Exercises.

Tell the sums of the following columns:

SUGGESTION. The teacher will read, simply naming the numbers.

SUGGESTION. Have pupils add both silently and audibly, naming only results. While the pupil has the sum of a column in mind, have him subtract therefrom each number separately. This exercise is susceptible of diversity and will enlist attention.

LESSON XII.

1. Add 3 to each of these: 6, 7, 5, 8, 3, 4, 5, 6, 7, 9, 2, 8, 6, 4.

2. Add 5 to each of these: 3, 4, 7, 5, 8, 6, 2, 9, 6, 8, 4, 3, 4, 3.

3. Add 7 to each of these: 5, 4, 8, 6, 7, 4, 5, 2, 3, 9, 6, 5, 3, 6.

4. Add 9 to each of these: 2, 3, 4, 6, 5, 2, 8, 3, 6, 7, 4, 9, 3, 8.

5. Add 8 to each of these: 3, 2, 9, 5, 3, 6, 7, 8, 3, 9, 7, 4, 2, 5.

6. Count by 2's from 0 to 20; by 3's to 21; by 4's to 20. 7. Subtract 5 from 13, 5, 9, 8, 12, 5, 7, 9, 6, 8, 15, 12, 10, 11, 18, 19, 17, 14.

8. Subtract 3 from 6, 9, 7, 5, 12, 8, 9, 4, 13, 17, 19, 18, 11, 10, 16, 15, 8, 14.

9. Subtract 7 from 20, 7, 17, 13, 18, 14, 11, 9, 10, 8, 12, 16, 15, 7, 8, 9, 14, 19.

10. Subtract 9 from 11, 17, 13, 10, 15, 18, 21, 19, 12, 16, 14, 20, 9, 22.

11. Subtract 6 from 15, 11, 13, 8, 12, 17, 14, 10, 19, 20, 18, 9, 21, 15, 16.

12. Subtract 8 from 10, 13, 17, 11, 9, 19, 12, 18, 16, 15, 8, 14, 19, 20, 21.

13. Subtract 9 from 9, 11, 13, 15, 17, 18, 19, 10, 12, 14, 16, 18, 20, 22, 21.

14. Count by 6's from 3 to 100; by 7's from 1 to 101. 15. Subtract by 3's from 100 to 1.

LESSON XIII.

1. How many figures are used to represent numbers?

SUGGESTION.-Place correct forms on the blackboard.

2. Which figure represents no value?

3. What is the largest number that can be expressed with one figure?

4. Tell how the following numbers are written:

Fifty-eight. Fifty-five. Sixty.

Seventy-three. Seventy-five. Eighty.

Ninety-seven. Ninety-four. Ninety-nine.

5. What is the largest number that can be expressed with two figures?

6. Analyze the numbers in No. 10, Lesson 12, by stating how many units and tens in each.

7. Between 1 and 111 there are ten numbers ending with 5; name these numbers and add 6 to each.

8. Between 1 and 111 there are ten numbers ending with 6; name them and add 7 to each.

9. Name the ten numbers within the same limits which end with 7, and add 8 to each.

10. Name those ending with 8, and add 9 to each. 11. Name those ending with 4, and add 8 to each.

NOTE. The teacher should always endeavor to grasp the purpose which the author had in mind when making the lesson, and then so conduct the recitation as to accomplish that purpose