- Thu Jul 14, 2016 8:44 am
#74073
Please note: this is a high school entrance exam.
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* Below are the arithmetic and algebra questions from the 1885 high school entrance exam in Jersey City, NJ. In order to enter high school, students had to score at least 75%. A copy of the full test and the names and scores of all passing students are shown in this footnote.[170]
Arithmetic
1. If a 60 days note of $840 is discounted at a bank at 4½% what are the proceeds?
2. Find the sum of √16.7281 and √.72¼.
3. The interest of $50 from March 1st to July 1st is $2.50. What is the rate?
4. What is the cost of 19 cwt. 83 lb. of sugar at $98.50 a ton? What is discount? A number?
5. Divide the difference between 37 hundredths and 95 thousandths by 25 hundred thousandths and express the result in words.
6. The mason work on a building can be finished by 16 men in 24 days, working 10 hours a day. How long will it take 22 men working 8 hours a day?
7. A merchant sold a quantity of goods for $18,775. He deducts 5% for cash and then finds that he has made 10%. What did he pay for the goods?
8. A requires 10 days and B 15 days to do a certain piece of work. How long will it take A and B working together to do the work?
9. By selling goods it 12½% profits, a man clears $800. What was the cost of the goods, and for what were they sold?
10. A merchant offered some goods for $1170.90 cash, or $1206 payable in 30 days. Which was the better offer for the customer, money being worth 10%?
Algebra
1. Define Algebra, an algebraic expression, a polynomial. Make a literal trinomial.
2. Write a homogeneous quadrinomial of the third degree. Express the cube root of 10ax in two ways.
3. Find the sum and difference of 3x−4xy+7cd−4xy+16, and 10ay−3x−8xy+7cd−13.
4. Express the following in its simplest form by removing the parentheses and combining: 1−(1−a)+(1−a+a2)−(1−a+a2−a3).
5. Find the product of 3+4x+5x2−6x3, and 4−5x−6x2.
6. Expand each of the following expressions and give the theorem for each: [a+4]2, [a2−10]2, [a+4] [a−4].
7. Divide 6a4+4a3x−9a2x2−3ax3+2x4 by 2a2+2ax−x2.
8. Find the prime factors of x4−b4 and x3−l.
9. Find the greatest common denominator of 6a2+11ax+3x2 and 6a2+7ax−3x2.
10. Divide [x2−2xy+y2]/ab by [x−y]/bc and give the answer in its lowest terms.
11. Change [2x2+5]/[x+3] to a mixed quantity.
* Between 1919 and 2011, the national average inflation-adjusted annual spending per public school student in daily attendance rose from $788 to $13,210.[171] This does not include state administration spending, unfunded pension liabilities, and post-employment benefits for government workers.[172]
http://www.justfacts.com" onclick="window.open(this.href);return false;
* Below are the arithmetic and algebra questions from the 1885 high school entrance exam in Jersey City, NJ. In order to enter high school, students had to score at least 75%. A copy of the full test and the names and scores of all passing students are shown in this footnote.[170]
Arithmetic
1. If a 60 days note of $840 is discounted at a bank at 4½% what are the proceeds?
2. Find the sum of √16.7281 and √.72¼.
3. The interest of $50 from March 1st to July 1st is $2.50. What is the rate?
4. What is the cost of 19 cwt. 83 lb. of sugar at $98.50 a ton? What is discount? A number?
5. Divide the difference between 37 hundredths and 95 thousandths by 25 hundred thousandths and express the result in words.
6. The mason work on a building can be finished by 16 men in 24 days, working 10 hours a day. How long will it take 22 men working 8 hours a day?
7. A merchant sold a quantity of goods for $18,775. He deducts 5% for cash and then finds that he has made 10%. What did he pay for the goods?
8. A requires 10 days and B 15 days to do a certain piece of work. How long will it take A and B working together to do the work?
9. By selling goods it 12½% profits, a man clears $800. What was the cost of the goods, and for what were they sold?
10. A merchant offered some goods for $1170.90 cash, or $1206 payable in 30 days. Which was the better offer for the customer, money being worth 10%?
Algebra
1. Define Algebra, an algebraic expression, a polynomial. Make a literal trinomial.
2. Write a homogeneous quadrinomial of the third degree. Express the cube root of 10ax in two ways.
3. Find the sum and difference of 3x−4xy+7cd−4xy+16, and 10ay−3x−8xy+7cd−13.
4. Express the following in its simplest form by removing the parentheses and combining: 1−(1−a)+(1−a+a2)−(1−a+a2−a3).
5. Find the product of 3+4x+5x2−6x3, and 4−5x−6x2.
6. Expand each of the following expressions and give the theorem for each: [a+4]2, [a2−10]2, [a+4] [a−4].
7. Divide 6a4+4a3x−9a2x2−3ax3+2x4 by 2a2+2ax−x2.
8. Find the prime factors of x4−b4 and x3−l.
9. Find the greatest common denominator of 6a2+11ax+3x2 and 6a2+7ax−3x2.
10. Divide [x2−2xy+y2]/ab by [x−y]/bc and give the answer in its lowest terms.
11. Change [2x2+5]/[x+3] to a mixed quantity.
* Between 1919 and 2011, the national average inflation-adjusted annual spending per public school student in daily attendance rose from $788 to $13,210.[171] This does not include state administration spending, unfunded pension liabilities, and post-employment benefits for government workers.[172]
- By johnforbes