SAT Mathematics Practice Test 4

20 Questions | By Danielw9 | Last updated: Jan 25, 2013 | Total Attempts: 131

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1.

Which of the following numbers is between 3 and 4?
- A.
  
  A. 12/15
- B.
  
  B. 15/4
- C.
  
  C. 17/4
- D.
  
  D. 13/6
- E.
  
  E. 11/6
2.

A team of 24 men can complete a job in 18 days working 9 hours per day. How many hours a day would 27 men have to work in order to finish it in 12 days?
- A.
  
  A. 12
- B.
  
  B. 24
- C.
  
  C. 27
- D.
  
  D. 36
- E.
  
  E. 18
3.

4 pens cost as much as 6 pencils; 2 pencils cost as much as 4 erasers; If the cost of 1 eraser is $1, what is the cost of four pens?
- A.
  
  A. $6
- B.
  
  B. $3
- C.
  
  C. $1
- D.
  
  D. $12
- E.
  
  E. $18
4.

The table given below shows the number of credit points scored by five students in a five week course. Which student has earned total maximum credit points in the course?
- A.
  
  A. Jane
- B.
  
  B. Mike
- C.
  
  C. Mathew
- D.
  
  D. Peter
- E.
  
  E. Stephen
5.

If y = 3/4 xz, what is the value of z when x = 2 and y = 27
- A.
  
  A. 2
- B.
  
  B. 6
- C.
  
  C. 18
- D.
  
  D. 27
- E.
  
  E. 9
6.
If x is a positive integer, which of the following is(are) true.
1. If x is odd, then (x+1)²is even.
2. If x is even, then (x-1)²is odd.
3. If x is even, then is irrational.
- A.
  
  A. I and II
- B.
  
  B. I and III
- C.
  
  C. II and III
- D.
  
  D. Only I
- E.
  
  E. Only I
7.

If a and b are the lengths of the legs of a right triangle whose hypotenuse is 10 units and whose area is 20 square units, what is the value of (a + b)²?
- A.
  
  A. 120
- B.
  
  B. 10
- C.
  
  C. 20
- D.
  
  D. 100
- E.
  
  E. 180
8.

The average sale of soaps of 24 salesmen excluding Michael´s is 46 pieces per day, whereas Michael alone sells 96 pieces per day. What will be the average sale of soaps if Michael´s sale is also included in it?
- A.
  
  A. 36
- B.
  
  B. 38
- C.
  
  C. 48
- D.
  
  D. 42
- E.
  
  E. 140
9.

If x > 2y and , then which of the following is true?
- A.
  
  A. x > 6z
- B.
  
  B. x < 6z
- C.
  
  C. y < 6/x
- D.
  
  D. z > 6/x
- E.
  
  E. x = 6z
10.

Which of the following has the greatest perimeter?
- A.
  
  A. A square with an area of 36 square units.
- B.
  
  B. An equilateral triangle with a side of 9 units.
- C.
  
  C. A rectangle with 10 units length and 40 square units area.
- D.
  
  D. A right triangle whose one side is 4 units and hypotenuse 5 units.
- E.
  
  E. All the given figures have the same perimeter.
11.

Which of the following is the correct factorization of the quadratic expression 6z² - 11z + 4?
- A.
  
  A. (3z - 4)(2z - 1)
- B.
  
  B. (3z + 4)(2z - 1)
- C.
  
  C. (3z - 4)(2z + 1)
- D.
  
  D. (3z + 4)(2z + 1)
- E.
  
  E. (2z - 4)(3z - 1)
12.

If a - 5/6 = 1/243, then what does a equal?
- A.
  
  A. 3
- B.
  
  B. 81
- C.
  
  C. 243
- D.
  
  D. 729
- E.
  
  E. 27
13.

If x and y are multiples of 3, which of the following cannot also be a multiple of 3?
- A.
  
  A. x + y
- B.
  
  B. xy
- C.
  
  C. xy + 3
- D.
  
  D. x - y
- E.
  
  E. x + y + 1
14.

In a group of 15 persons 10 are mathematicians and 8 are statisticians. How many people are both mathematicians and statisticians?
- A.
  
  A. 15
- B.
  
  B. 10
- C.
  
  C. 3
- D.
  
  D. 8
- E.
  
  E. 25
15.

A club has 108 members. Two-thirds of them are men and the rest are women. All members are married except for 9 women members. How many married women are there in the club?
- A.
  
  A. 20
- B.
  
  B. 24
- C.
  
  C. 27
- D.
  
  D. 30
- E.
  
  E. 9
16.

If p#[email protected] = (p + q + r)(p² + q² + r²), then find the value of 8#[email protected]
- A.
  
  A. 15
- B.
  
  B. 80
- C.
  
  C. 120
- D.
  
  D. 135
- E.
  
  E. 1395
17.

In the given figure, O is the centre of the circle. Note: Figure not drawn to scale.
- A.
  
  A. 30 degrees
- B.
  
  B. 20 degrees
- C.
  
  C. 50 degrees
- D.
  
  D. 100 degrees
- E.
  
  E. 90 degrees
18.

The percent increase from 8 to 14 is equal to the percent increase from 12 to what number.
- A.
  
  A. 21
- B.
  
  B. 28
- C.
  
  C. 14
- D.
  
  D. 16
- E.
  
  E. 24
19.

Johnson has to cover a distance of 240 miles, of which
- A.
  
  A. 240
- B.
  
  B. 30
- C.
  
  C. 40
- D.
  
  D. 50
- E.
  
  E. 120
20.

Mrs. Alice is four times as old as her son. After 4 years the sum of their ages would be 63 years. Find her son´s present age.
- A.
  
  A. 12
- B.
  
  B. 11
- C.
  
  C. 4
- D.
  
  D. 2
- E.
  
  E. 15

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