Practice Questions

Question 1

[N] is defined as the least integer greater than or equal to N.
Evaluate for X=0.8
[4x-0.4]+5x+0.3

Answer 1

7.3

Question 2

Six boxes are marked with numbers 1-6. Each box contains ten marbles with the number or red marbles in each box corresponding to its number and the reminder being white. A fair die is rolled. The box corresponding to the toll is chosen and a marble is drawn at random what is the probability of choosing a white marble?

Answer 2

13/20

Question 3

Decimal equivalent of 7/36

Answer 3

0.194….

Question 4

Give the reciprocal of 0.8

Answer 4

1/8=10/8=1.25

Question 5

One pipe can fill the tank in 45 minutes; the other can fill it in 40 min. To the nearest tenth of a minute how long would it take the two pipes together to fill the tank if both were opened at the same time?

Answer 5

1/45t+1/40t=1
360(1/45t+1/40t)=360*1
360/45t+360/40t=360
8t+9t=360
17t=360
T=360/27=21.2 minutes

Question 6

(5-3i)(5+3i)

Answer 6

(a-bi)(a+bi)=a^2+b^2
(5-3i)(5+3i)=5^2+3^2=25+9=34

Question 7

The volume of a cube is 1,009 cubic centimeters. Using the conversion factor 2.5 centimeters=1in, give its surface area in square inches, rounding to the nearest inch

Answer 7

3squareroot1000=10 cm
Divide by 2.5
6x4^2=96in^2

Question 8

Give the equation of the line through (2,9) and (8,1)

Answer 8

4x+3y=35

Question 9

What number can be filled in the blank to make the two ratios equivalent :40 to 2 1/2

Answer 9

N/1= 40/2^1/2=40/2.5=16

Question 10

Simplify writing as a proper fraction
2 1/4/ 5 2/5

Answer 10

= 2 1/4 /5 2/5=9/45/27=1/45/3=5/12

Question 11

A fair sided did had on its faces the numbers 1,1,1,2,2,3;a fair sided eight die has on its faces the number 1,1,1,1,2,2,3,4 what is the probability that the numbers add up to 3 or less

Answer 11

13/25

Question 12

What is the area of a right triangle whose hypotenuse is 13 in and whose legs each measure a number of inches equal to an integer

Answer 12

A Pythagorean triple- three integers that satisfy the relationship of a2+b2=c2. We know that c=13 and the only Pythagorean triple where c=13 is (5,12,13)

Question 13

Which of the following can be the sum of four consecutive positive integers

Answer 13

Let N, N+1, N+2 and N+3 be the four consequent integers. Their sum would be N+(N+1)+(N+2)+(N+3)=4N+6
Subtract 6 from their sun and the difference would be a multiple of 4