SAT problem solving practice test 01

1. Of the following, which is greater than ½ ?

A. 2/5
B. 4/7
C. 4/9
D. 5/11
E. 6/13

2. If an object travels at five feet per second, how many feet does it travel in one hour?

A. 30
B. 300
C. 720
D. 1800
E. 18000

3. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

A. 90
B. 95
C. 100
D. 105
E. 110

4. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

A. 48
B. 32
C. 24
D. 18
E. 12

5. In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?

A. 6
B. 15
C. 24
D. 33
E. 54

6. If f(x) = │(x² – 50)│, what is the value of f(-5) ?

A. 75
B. 25
C. 0
D. -25
E. -75

7. ( √2 - √3 )² =

A. 5 - 2√6
B. 5 - √6
C. 1 - 2√6
D. 1 - √2
E. 1

8. 2³⁰ + 2³⁰ + 2³⁰ + 2³⁰ =

A. 8¹²⁰
B. 8³⁰
C. 2³²
D. 2³⁰
E. 2²⁶

9. Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?

A. 10
B. 8
C. 6
D. 4
E. 2

10. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?

A. 18
B. 13.5
C. 9
D. 4.5
E. 3