Introduction to sat math practice questions:
Scholastic Assessment Test or Sat reasoning test is a test which is used to get admissions in US universities and colleges. Sat test deals with quantitative questions and English skills. Sat test is conducted for 3 hrs and 45 minutes. It consists of three parts; they are i) Critical reasoning ii) Math aptitude and iii) Writing.
Math section of Sat questions deal with quantitative questions and logical reasoning questions. Math questions are given with multiple choices. Students should practice sat questions to get more marks in tests.
Sat Math Practice Questions:examples
Example 1:
What is the remainder when 16^3 + 17^3 + 18^3 + 19^3 is divided by 70?
Solution:
The given expression can be written as,
= 16^3 + 19^3 + 17^3 + 18^3
The given numbers is written in the form (a^3 + b^3) form,
= (16 + 19) (16^2 - 16 * 19 + 19^2) + (17 + 18) (17^2 - 17*18 + 18^2)
On solving this, we get,
= 35 (16^2 - 16 * 19 + 19^2 + 17^2 - 17*18 + 18^2)
= 35 (even number).
When 35 is multiplied by any even number, the product will be divisible of 70.
Therefore the remainder becomes 0.
Answer is 0.
Example 2:
Find the smallest positive integer that is divided by 4, 6 and 8 leaves a remainder of '2' in each case, but the number is perfectly divisible by 37?
Solution:
The least positive integer = x.
The given condition is, the smallest positive integer "x" leaves a remainder of 2 when divided by 4, 6 and 8.
Hence, x - 2 will be divisible by all the three numbers 4, 6 and 8.
The LCM for 4, 6 and 8 is 24.
The other values that x - 2, will be multiples of 24 since all the multiples of 24 will be multiples common to 4, 6 and 8.
Now, if x - 2 = 24, then x = 26. It is not divisible by 37.
If x - 2 = 48, then x = 50. It is also not divisible by 37.
If x - 2 = 72, then x = 74. It is divisible of 37.
The answer is 74.
Sat Math Practice Questions:
Practice question 1:
Of the 80 students in class, 25 are studying English, 15 Tamil and 13 Hindi. 3 are studying English and Tami;; 4 are studying Tamil and Hindi; 2 are studying English and Hindi; and none is studying all 3 languages at the same time. Find the number of students who are not studying any of the three languages?
A) 27
B) 18
C) 53
D) 62
E) 36
Answer is option E.
Practice questions 2:
A car travels at fifteen feet per minute. How many feet does it travel in 24 min and 40 seconds?
A) 360
B) 370
C) 367.5
D) 600
E) 960
Answer is option B.
Practice question 3:
Rounding (101)2 to the nearest hundred.
A) 10,000
B) 18,000
C) 10,200
D) 17,000
E) 19,000
Answer is option C.
Scholastic Assessment Test or Sat reasoning test is a test which is used to get admissions in US universities and colleges. Sat test deals with quantitative questions and English skills. Sat test is conducted for 3 hrs and 45 minutes. It consists of three parts; they are i) Critical reasoning ii) Math aptitude and iii) Writing.
Math section of Sat questions deal with quantitative questions and logical reasoning questions. Math questions are given with multiple choices. Students should practice sat questions to get more marks in tests.
Sat Math Practice Questions:examples
Example 1:
What is the remainder when 16^3 + 17^3 + 18^3 + 19^3 is divided by 70?
Solution:
The given expression can be written as,
= 16^3 + 19^3 + 17^3 + 18^3
The given numbers is written in the form (a^3 + b^3) form,
= (16 + 19) (16^2 - 16 * 19 + 19^2) + (17 + 18) (17^2 - 17*18 + 18^2)
On solving this, we get,
= 35 (16^2 - 16 * 19 + 19^2 + 17^2 - 17*18 + 18^2)
= 35 (even number).
When 35 is multiplied by any even number, the product will be divisible of 70.
Therefore the remainder becomes 0.
Answer is 0.
Example 2:
Find the smallest positive integer that is divided by 4, 6 and 8 leaves a remainder of '2' in each case, but the number is perfectly divisible by 37?
Solution:
The least positive integer = x.
The given condition is, the smallest positive integer "x" leaves a remainder of 2 when divided by 4, 6 and 8.
Hence, x - 2 will be divisible by all the three numbers 4, 6 and 8.
The LCM for 4, 6 and 8 is 24.
The other values that x - 2, will be multiples of 24 since all the multiples of 24 will be multiples common to 4, 6 and 8.
Now, if x - 2 = 24, then x = 26. It is not divisible by 37.
If x - 2 = 48, then x = 50. It is also not divisible by 37.
If x - 2 = 72, then x = 74. It is divisible of 37.
The answer is 74.
Sat Math Practice Questions:
Practice question 1:
Of the 80 students in class, 25 are studying English, 15 Tamil and 13 Hindi. 3 are studying English and Tami;; 4 are studying Tamil and Hindi; 2 are studying English and Hindi; and none is studying all 3 languages at the same time. Find the number of students who are not studying any of the three languages?
A) 27
B) 18
C) 53
D) 62
E) 36
Answer is option E.
Practice questions 2:
A car travels at fifteen feet per minute. How many feet does it travel in 24 min and 40 seconds?
A) 360
B) 370
C) 367.5
D) 600
E) 960
Answer is option B.
Practice question 3:
Rounding (101)2 to the nearest hundred.
A) 10,000
B) 18,000
C) 10,200
D) 17,000
E) 19,000
Answer is option C.
