4. The number of feet of fencing required; the number of rods. 5. The number of 5-rod bales of fencing that must be bought and the cost at $1.60 per bale. (The dealer will not sell a part of a bale.) 6. The number of posts required to support the netting about the yards if placed 10 feet apart on the south side and 8 feet apart on the lines running north and south, if the netting is fastened directly to the house. 7. The cost of the posts at 13 cents each; total cost of netting and posts. When several terms are inclosed in a parenthesis, solve the part in parenthesis first. Brackets, [], braces, {}, and the vinculum, the same force as the parenthesis. have 20. Show that 835 x 4 is equal to (10+11) x 3. 21. Which is greater, 4+8 x 5 or 4+ 8 × 5? 22. What is the sum of 54 ÷ 6 + 12 and 54 ÷ (6 + 12)? 23. How many times is 4224 contained in (324) × 2? 24. If 54(6 × 9) is taken from 54 ÷ 6 x 9, what is left? 25. What is the product of 20 × 3+3 and 20 × 3+3 ? 26. Divide 408 x 2 by 15 x 2 + 2. 27. Find the sum, difference, product, and quotient of 56 + 98 ÷ 14 − 2 × 11⁄2 and 56 + 98 ÷ 14 − 2 × 11⁄2. QUADRILATERALS 1. What is a quadrilateral? PARALLELOGRAMS 2. What name is given to quadrilaterals having two pairs of parallel sides? 3. Name the different kinds of parallelograms. 4. Describe a rectangle. A square. A rhomboid. A rhombus. NOTE. Any correct description should be accepted. The main thing is to be sure that pupils distinguish clearly the different figures. 5. What is the altitude of a parallelogram? 6. Tell how to find the area of a rectangle. Of any parallelogram. TRAPEZOID trapezoid? 7. What name is given to quadrilaterals having one pair of parallel sides? 8. What is the altitude of a 9. Draw a trapezoid on paper. Cut it out and fold so that the parallel sides coincide. Cut along the crease; arrange the parts to form a parallelogram. What is the base of the parallelogram? Its area? of the trapezoid? What is the area The area of a trapezoid is equal to one half the product of its altitude and the sum of its parallel sides. 20. What name is given to quadrilaterals having no two sides parallel? 21. Draw a trapezium; draw one of its diagonals. Cut out the trapezium; separate it into two triangles by cutting along the diagonal. Find the area of each triangle. Of both triangles. What is the area of the trapezium? 22. Tell how to find the area of a trapezium. 23. Draw other trapeziums and find their areas. TRIANGLES 1. What is a triangle? Triangles compared : I. With respect to their sides. EQUILATERAL ISOSCELES SCALENE 2. Describe an equilateral triangle. 3. What is the perimeter of an equilateral triangle, whose sides are each 7 inches? 21 inches? 3 inches? 121 rods? 4. The perimeter of an equilateral triangular flower bed is 16 feet. What is the length of one side? 5. Describe an isosceles triangle. 6. What is the perimeter of an isosceles triangle whose equal sides are each 6 feet and whose base is 4 feet? 7. The perimeter of an isosceles triangle is 20 inches; its base is 6 inches. What is the length of each of the other sides? 8. The base of an isosceles triangle is 21 rods; one of the equal sides is 51 rods. What is the perimeter? 9. Describe a scalene triangle. 10. The sides of a scalene triangle are 8 inches, 5 inches, and 6 inches, respectively. Find the perimeter. 11. The perimeter of a scalene triangle is 20 yards. Two sides are, respectively, 30 feet and 12 feet. Find the third side. II. With respect to their angles. RIGHT-ANGLED ACUTE-ANGLED OBTUSE-ANGLED 12. Describe a right-angled triangle. An acute-angled triangle. An obtuse-angled triangle. 13. What is the altitude of a triangle? FINDING AREAS OF TRIANGLES FIGURE 1 FIGURE 2 1. Tell how to find the area of figure 1. shaded part. Of the shaded part of figure 2. Of the |