This would be a multiple series posts aimed at teaching the students about the various SAT maths concepts so as to foster greater understanding of the subjects amongst them. This is the time when most of the high school students, seniors and juniors, prepare for their SAT exam and appear for it before October so as to be able to use their SAT scores for the early action admission rounds as well as regular action admission rounds.

In the previous post, we learnt about the basics of number system, the real numbers, the integers and the odd numbers. Continuing further, let us take a quick look at the prime numbers, composite numbers, co-primes, factors and multiples of a number. Before beginning with these, understand that the integers consist of negative, zero and positively signed numbers which can be represented on a number line as given below:

Read more…

Below are some questions to brush your knowledge on the concept of indices, square root and problem solving techniques. Take the test and look at the answer and detailed solutions only when you have tried the questions by yourself at least once.

If you would like to take a real test , check out these below

SAT Math Practice Test 1

SAT Math Practice Test 2

SAT Algebra Practice Questions

1. What is the number whose 11^th part when multiplied with its 5^th part gives 2695 as answer?

a)      385

b)      375

c)       395

d)      365

2. I collected some money by raising subscription for opening a library. If the whole amount collected be 1600 currency notes of 100 denomination and each person subscribed as many dollars as there were subscribers, find the amount paid by each subscriber.

a)      250

b)      300

c)       350

d)      400

3. A general wishing to draw up his 2360 men in the form of a solid square found that he had 56 men left over. Find the number of men at the front row.

a)      42

b)      45

c)       48

d)      51

4. If the sum of two numbers is multiplied by each separately, the products so obtained are 2418 and 3666. Find the numbers.

a)      31, 47

b)      32, 48

c)       30, 45

d)      29, 44

5. Find the number whose square is equal to the difference between the squares of 75.15 and 60.12.

a)      43.06

b)      42.90

c)       44.90

d)      45.09

Solutions:

1. Let x be the required number, so that

x/11 * x/5 = 2695
x²                = 11*5*2695
x²                 = 11 * 5 * 5 * 7 * 7 * 11 (factorize 2695)
x²                 = 5² * 7² * 11²
Taking square root on both the sides,

x = 5 * 7 * 11
x = 385

2. Given that the total amount collected = 1600 * 100 = $160,000

Let there be ‘x’ subscribers so that each of them paid $x
Therefore, x² = $160,000

Taking square root on both the sides,
x = 400

3. The number of men who formed the solid square = 2360 – 56 = 2304

Taking square root of 2304, we get 48, which is the number of men in the front row.

4. Let x and y be the two numbers. Then, according to the question,

x (x + y) = 2418
y (x + y) = 3666

Adding the two equations, we get

x (x + y) + y (x + y) = 6084
(x + y) (x + y)       = 6084
(x + y)² = 6084

Taking Square root on both the sides, we get

x + y = 78

As per the question, x = 2418/78 = 31
y = 78-31 = 47

Answer = 31 and 47

5. Let x be the required number, so that

x² = (75.15)² – (60.12)²
x² = (75.15 + 60.12) (75.15 – 60.12)
x² = ( 135.27) (15.03)
x² = 9 * 15.03 * 15.03
x² = 3² * 15.03²

Taking square root on both the sides,

X = 3 * 15.03 = 45.09

Take more and more number of SAT math practice tests to sharpen your mathematics skill and get the highest SAT score.

A short and simple SAT math practice exercise to help you test your understanding level:

1. X’S Salary is half that of Y. If X got a 50% rise in his salary and Y got a 25% rise in his salary, then the percentage increase in the income of the two is?

a)      30

b)      33 1/3 Read more…

A polynomial equation of second degree is called a quadratic equation. It is different from the linear equation in the sense that in case of linear equation, the main variable (x) is of the order one, that is to say that the highest power of the main unknown variable in case of linear equation is one.

In case of quadratic equations, the highest power of the unknown variable (x) is two and then decreases accordingly. A standard quadratic equation is of the form ax² + bx+ c = 0, where a, b, c are all real and a is not equal to 0. This is to say that the co-efficient of x² in never zero. As a rule, a Quadratic Equation has two roots: α and β. Read more…

The College Board released data today on SAT scores for college-bound seniors in 2010, Female high school students have shown to be better students on average compared to male high school students, and they are equally or better prepared than males for the math SAT exam based on the number and level of math classes taken in high school. Yet, male students scored significantly higher on the SAT math test than females, and the statistically significant male-female test score gap of more than 30 points persists over time. Here are some highlights of the results relating to the 2010 SAT Math test:

1.       Continuing a trend that has persisted for many decades, high school boys continued to score significantly higher on the SAT Math test that their female counterparts, by 34 points this year.

2.      The gender differences in SAT Math test scores prevail for all ethnic groups, with the following male-female point differences: American Indian (29 points), Asian (28 points), Black (14 points), Mexican-American (35 points), Puerto Rican (30 points) and white (36 points).

3.      For top scores of 800 points, there were 8,072 males and 3,887 females with perfect scores, for a boy:girl ratio in favor of boys of 2.08 to 1.

Read More of the analysis on the Benzinga.com