EXAMINATION PAPERS.
217
<7 9?
3. A steam-engiue, working steadily day and night, consumes a
hundred-weight of coal in 7^ hours. How many tons will be
used in 100 days.
4. An army of 145,600 men loses 12£ per cent, of its number through
disease, and 15 per cent, of the remainder in battle ; how many
men are left ?
5. (1) Show that the numbers 111 and 11111 are prime to each
other.
(2) Find the least common multiple of the even numbers from 2 to
20, inclusive.
6. A grain of gold if beaten into gold-leaf will cover 67£ square
inches. Find, in yards, the length of the side of a square that
can be covered) by an ounce Troy of gold-leaf.
(1) 'l+M + M + 'J.
v J 20 24 25 ^
(2)
Simplify—
... 17 , la , 10
^405
of n
7i+lt‘2f of3f
8. Express (1) 5 yds. 2 ft. 4 in. as a vulgar fraction of a mile;
(2) £2 17s. 4<7. as a decimal fraction of £13 8s. 9d.
9. (1) Multiply ’02475 by *64, and divide the result by ’000125 ;
•681x-61
(2) Reduce to a single vulgar fraction
1 • 184- *36
10. Find the total rental of a town if a tax of 9(7. in the pound on rents
brings in £2,163 14s. 3d.
11. A rectangular tank is 18 feet long, 14 feet broad, and 10 feet deep.
Find the cost of painting the sides and bottom of the inside at
Is. l^d. the square yard.
12. At what rate must simple interest be charged in order that £2,375
may increase to £2,826 5s. in four years ?
ALGEBRA.
Lower Grade.
Monday, 15th June. 3 p.m. to 4.30 p.m.
Candidates are not expected to attempt every question.
All answers sent in should be written out fully and carefully.
All the steps of the work must be shown, and any explanation which
may be necessary should be added.
All writing and figures should be legible and well arranged.
Attention to these points will secure additional marks.
1. Add together 4(x—2y+3z), — b(y—2z + 3x), and 6(z-2x+3y).
2. From (ar—4) (x2—3x + 5) take (x—3) (x2—2x—6).