High School Entrance Exam - Midsummer, 1890
WRITTEN ARITHMETIC
1. Define concrete number, aliquot part, finite decimal, present worth and ratio.
2. Simplify: (6/7 of 1 1/4 of 14/15 + 3 1/2 of 2 10/21 - 2 2/3) x 3 6/7
3. Three men, A, B, and C, start together from the same place to walk around an island 60 miles in circumference; they walk in the same direction, A at the rate of 5 miles per hour, B at 4, and C at 3. In what time will all be together for the first time after starting, and how many miles will each have travelled?
4. If 5 tons of coal are equal to 9 cords of wood for fuel, and a family burns 31. 5 cords of wood in a year, how much will be saved by changing from wood to coal, when wood is worth $4.25 per cord and coal $6.80 per ton?
5. If a family of 9 people can live comfortably in England for $7,862.40 per year, what will it cost a family of 8 to live in Canada in the same style for 7 months, prices being supposed to be 3/5 of what they would be in England?
6. Find the compound interest on $500 for 1 year 6 months at 8% per annum, interest payable semi-annually.
7. What is the present worth of $600 due 8 mos. 18 days hence @ 9% per annum.
MENTAL ARITHMETIC
1. What will 3 1/2 cwt. of hay cost @ $25 per ton?
2. If 5 1/2 yards cost $.77, what will 4 2/7 yards cost?
3. Write a decimal equal in value to a unit.
4. What is the first prime number below 100?
5. What will 225 hats cost @ $.66 2/3 each?
6. If 3/8 of a ton cost $13.50, what will 5/9 of a ton cost?
7. What is the simple interest on $1, 250 for 2 years 8 months @ 2/3% per month?
8. What part of 2/3 of 3 1/2 is 5/9 of 4 1/2?
9. What is the brokerage on half a million dollars @ 1/8% ?
10. What is the true discount on $620, due 2 years 8 months hence at 9% per annum?