4. At P75 per thousand ft., B. M., find the cost of the lumber for a shed 18 ft. long and 10 ft. wide, as follows: 3 posts, 5 in. by 5 in., 10 ft. long; 3 posts, 5 in. by 5 in., 8 ft. long; 19 stringers, 4 in. by 1.5 in., 9 ft. long; 72 boards, 10 in. wide, 12 ft. long, and 1 in. thick.

5. At P.12 per sq. m, what will it cost to whitewash the two sides of a stone wall 42.5 m long and 2.2 m high?

6. Find the weight of a wooden beam 40 cm by 25 cm and 6.8 m long if the specific gravity of the wood is .92.

7. How many ft. of boards 2 in. thick are used in making a rectangular tank 6 ft. long, 3 ft. wide, and 38 in. high? (All outside measurements.)

8. How many hektoliters of water will the tank in No. 7 hold?

.8 m

6.4 m

gravity of the brick is 1.9?

9. Find the area of the two gable ends of a house 6.4 m wide whose ridge is 2.8 m above the base of the gable.

10. What is the weight of 400 brick tiles, each 25 cm square and 3 cm thick, if the specific

11. At P3.20 per sq. m, what will it cost to build a concrete walk 34.5 m. long and 1.4 m wide?

12. Estimating 50 nipas to the sq. m, what will the nipas cost at P4.50 a thousand for a roof composed of 4 triangles, each having a base of 8 m and an altitude of 5 m?

13. Find the total cost of building a nipa house with material as follows: 6 posts at P6.50 each, 5 joists each 8 in. by 3 in. and 24 ft. long at P.09 ft., B. M., 170 bamboo poles at P35 a hundred, 6800 nipas at P4.20 a thousand, bejuco P10, labor P70.

14. What will it cost to paint the walls and ceiling of a room 5.5 m long, 4.4 m wide, and 3 m high, at P.35 per sq. m, allowing 8 sq. m for doors and windows?

15. A rectangular field containing 10.5 Ha is 280 m wide. What is its length?

16. Find the surface and volume of a cube whose edge is 10.5 cm.

17. What length of sawali 11 m wide must I buy for the four walls of a room 41 m long, 3 m wide, and 3 m high, if 6 sq. m are allowed for cutting out doors and windows?

18. If it takes 528 sheets of tin 60 cm long and 40 cm wide to cover a roof, what is the area of the roof?

19. What is the weight of the sand (sp. gr. 1.5) that fills a box 1.4 m long, .9 m wide, and .8 m deep?

20. How many ft., B. M., are there in a tapering board 12 ft. long, 12 in. wide at one end, 18 in. wide at the other end, and 1 in. thick?

21. Estimating 1300 Kg to the cu. m, how many tons of soft coal are contained in a bin 6.4 m long, 2.5 m wide, and 3.2 m deep?

22. At P65 per ton, what is the value of a stick of molave 45 cm square and 6 m long, if the sp. gr. of molave is 1.1?

23. Find the total cost of putting in a sawali partition 5 m long and 31 m high, using the following materials: 18 m of strips for uprights, at P.22 a meter; 22 m of strips for crosspieces, at P.15 a meter; 22 m of strips for holding sawali, at P.05 a meter; sawali at P.25 a square meter; and labor, P3.50.

24. A cargo of grain from a vessel filled 43 bins, each 23 m square and 8 m deep. How many hektoliters of grain did the vessel carry?

Give a definition for each of the following:

1. Factors of a number.
2. Highest common factor.

3. Multiple of a number.

4. Lowest common multiple.

5. Similar fractions.

6. Decimal fractions.
7. Reduction.

8. Specific gravity.

9. What is the primary unit of the metric system? How is its length determined? Where did this system originate?

10. What are the units of surface, volume, capacity, and weight in the metric system? Explain how each of these is derived from the primary unit.

11. Give the tables of the metric system.

12. Define circle; circumference; arc.

13. Define meridian; prime meridian; longitude.

14. Give the table for time measure; for circular measure.

15. Show how longitude is related to measures of time.

16. Define polygon. Name three kinds of polygons.

17. In what respect does a parallelogram differ from a trapezoid?

18. How do you find the area of a parallelogram? Of a triangle? Of a trapezoid?

19. Name five kinds of building material. What is the cheapest kind in the Philippine Islands?

20. What is meant by 1 meter, board measure?

21. Name three things that are measured by the cubic meter. 22. Name four things that are measured by the hektoliter. 23. What advantages has the metric system over the other Filipino and Spanish systems of weights and measures?

How many hundredths

1. What part of circle A is shaded? How

are shaded? How many hundredths are unshaded?

2. Repeat the questions in No. 1 for each of the other circles. Another name for hundredths is per cent.

The sign % means per cent. 6 per cent 6%

=

180 = .06. 3. Express decimally: 15%; 25 %; 48%; 92%; 121%; 61%; 221%; 81 %; 871 %; 125 %; 225 %; 1121%; 160 %.

4. What per cent of a circle is one half of it? One fifth? One tenth? Three fifths? Three tenths? Seven tenths?

5. Give the fraction that equals 50 %; 20%; 25 %; 60 %; 70%; 75%; 80%; 90%; 5%; 15 %; 45 %.

6. .121, or 121 % = what part?

.33, or 331% = what part?

7. What part of a number is 621% of it? 871% of it? 81% of it? 833% of it?

66% of it? 371% of it?

Percentage is the name given to that part of arithmetic that treats of per cents. It is one of the applications of decimals. The base is the number of which the per cent is found.

The rate is a number of hundredths of the base to be taken. The percentage is the result obtained by taking a certain per cent of the base.

The amount is the base plus the percentage.

The difference is the base minus the percentage.

6. 75% of 40; of 80; of P12; of 20 m; of 44 Kg; of 72 HI

7. 66% of 30; of 21 1; of 66 g; of P666; of P 3.24.

104. Written.

Find 9% of P 965.

Since 9% is .09, we find 9% or .09 of P 965 by multiplying as in decimal fractions.

P 965 .09

P 86.85

Find:

1. 15% of 540.

2. 12% of P 396.

3. 18% of P475.

4. 71% of 680.

5. 221% of 544.

6. 87% of 608.

7. 35% of P 750.

8. 75% of 424 boys.
9. 161% of P880.

10. 81% of 4000 oranges.
11. 87% of P 16.80.

12. 371% of P36.80.

13. A grocer had 384 kilos of sugar and sold 75% of it. How much had he left?

14. Mrs. de la Rama brought to Manila 60 meters of jusi and 36 meters of piña. If she sold 80% of the jusi at P.85 a meter and 75% of the piña at P 1.65 a meter, what did she receive for it?

15. 85% of a class of 40 pupils are promoted. How many are not promoted?