Free Pre-Apprenticeship Practice Test Questions and Answers

The correct answer is (A).

Method A

Remember that:

Simplify and reduce if possible:

Method B

If you do not remember the formula of sum of cubes, you can open the parentheses and simplify:

The correct answer is (A).

If you chose any other answer, review the solution and the use of formulas.

The correct answer is 2. 

According to the diagram, the woman wishes to turn the cylinder in a counter clockwise direction. We can see that one cogwheel connects with the same axis of rotation as the cylinder; therefore, it will turn in the same direction as the cylinder.

In order for the upper cogwheel to turn in a counter clockwise direction, the lower cogwheel must turn in a clockwise direction. Since the lower cogwheel is attached to the handle that the woman has to turn, she must therefore turn it in a clockwise direction.

The correct shape is: 

The correct answer is (A).

According to the passage, "Although Britain would not use African troops in Europe… France sent some 160,000 Africans from its West African colonies to Europe" – so Britain did not employ African troops in Europe, while France did. The passage also states that Britain did use African soldiers in Africa and Mesopotamia, so answers (B) and (C) are incorrect. As for answer (D), India is not mentioned in the passage at all.

The correct answer is (C) - 630

The formula for calculating degrees Rankine is:
Degrees Rankine = (degrees Celsius + 273.15) x 1.8

Isolate the 'Celsius degrees' in the formula:
1. Divide both sides of the equation by 1.8
Degrees Rankine/1.8 = (degrees Celsius + 273.15) x 1.8/1.8 
Degrees Rankine/1.8 = degrees Celsius + 273.15
2. Subtract 273.15 from both sides of the equation:
(Degrees Rankine/1.8) - 273.15 = degrees Celsius + 273.15 - 273.15
(Degrees Rankine/1.8) - 273.15 = degrees Celsius
Degrees Celsius = (Degrees Rankine/1.8) - 273.15

Insert the given data:
Antimony's melting point = 1,625.67 degrees Rankine.
Degrees Celsius = (1,625.67/1.8) - 273.15 = 903.15 - 273.15 = 630

Solving tip: When dividing two decimals might be easier to turn them into integers by multiplying both the nominator and denominator by a shared multiplication of 10 (i.e. 10, 100, 1000 etc.), e.g.:
100*1,625.67/100*1.8
162,567/180

Use long division:

=> 903 + a remainder of 27 = 903 + 27/180 = 903 + 3/20  

In order to convert the fraction 3/20 into a decimal we can manipulate the fraction to our advantage, using familiar fractions.
The first, easiest possibility is expanding the fraction, turning it to a fraction of a 10's denominator (i.e. 10,100,1,000 etc.). In this case, multiply both the nominator and denominator of 3/20 by 5:
5*3/5*20 = 15/100 = 0.15
903 + 3/20 = 903 + 0.15 = 903.15

A second possibility is manipulating a fraction, by using fractions whose decimal equivalents are well known and are easy to use e.g.: 1/2 (0.5), 1/4 (0.25) etc.

3/20 = (1*3)/(2*10) = (1/2)*(3/10) = 0.5*0.3 = 0.15
903 + 3/20 = 903 + 0.15 = 903.15

Now, we can return to our formula and compute the final answer:
Degrees Celsius = 903.15 - 273.15 = 630

The tool presented in this image is a crowbar. A crowbar provides leverage for separating close-fitting objects, for example – opening crates and extracting nails. It is an example of a first class lever: the crowbar's fulcrum allows its operator to apply force in order to separate adjacent objects. A seesaw and a boat's paddle are also good examples of first class lever.

The correct answer is A.

The correct answer is (A).

The only figure that consists of five identical squares, as in the given net, is answer (A).

Alternatively, you can disqualify answers (B), (C), and (D) as they have eight trapeziums, unlike the given net. Answer (E) is formed by rectangles, which also do not appear in the given net.

In order to answer this question one should know the Ideal Gas Law:

PV=nRT

where P =pressure, V = volume, n = number of moles of gas (amount of gas), R = Gas constant, T = temperature.

Since we know the temperature is constant, the right side of the equation will also be constant (providing the amount of gas in the balloon remains constant, meaning: PV = Const, at all times.

As the balloon raises atmospheric pressure decreases since the amount of air above it the balloon is reduced (similar to hydrostatic pressure).

If the pressure decreases (as the balloon raises) then the volume must increase in order for P*V to remain constant.

The correct answer is A.

First, let's calculate how much money the client wants in his checking account and in cash:
Checking+cash= 326+40 = 366.

Now, we subtract this number from the total amount of money – the sum of the check:
563.04-366 = 197.04.

Alternative explanation: If we only subtract $326 (the deposit) from $563.04 (the check/total), we get $237.04 – even before subtracting the amount of cash, we can eliminate answers C and D, as they are too much. Next we would subtract $40 from $237.04, but notice that since 40 is a larger number than 37, we know that the result will be smaller than 200, and so we can also eliminate answer choice B and choose answer A, the correct answer.

The decimal point can move an equal number of spaces in each side of the quotient

  4186 : 0.001
= 41860 : 0.01
= 418600 : 0.1
= 4186000 : 1
= 4186000

The correct answer is (B).

All the circles below exhibit the same numerical relationship - they share the following pattern:

(left-cell) - (right-cell) = 4;

Left circle: 4 (top-left) – 0 (top-right) = 4; 5 (bottom-left) – 1 (bottom-right) = 4
Middle circle: 8 (Top left) - 4 (top right) = 4; 6 (bottom left) - 2 (bottom right) = 4
Right circle: 2 (Top left) - (-2) (top right) = 2 + 2 = 4; 0 (bottom left) - (-4) (bottom right) = 0 + 4 = 4

*Notice! Two minuses cancel each other, and turn into a plus sign:
- (- number) = + number

The circle in question: 6 (Top left) - 2 (top right) = 4; 2 (bottom left) - ? (bottom right) = 4
2 - ? = 4    //Gather all numbers on one side and the ? sign on the other side
-? = 4 - 2
-? = 2      //Eliminate the minus sign from the (?)  sign, (since you are asked for the value of ?), by multiplying both sides of the equation by (-1)
(-1)*(-?) = (-1)*2
? = -2