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Math Test Questions & Solutions

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Do NOT start Step FOUR, till you have completed Step THREE
click here to go back to Step THREE.
Step FOUR. Different Topics, Sample Questions with Solutions & Answers.
- Go through ALL Questions / Examples and their solutions. Stress on the topics you are weak in.
- Do NOT skip any questions; even if you know how to solve them.. We may be showing you a faster / error proof way of solving the questions.
  1. Absolute Values. Basics. Examples.
  1. Fractions. Basics. Examples. Adobe Acrobat Version.
    Fractions. Basics. Examples. Microsoft Excel Version. This The Microsoft Excel version can be downloaded.
    After downloading, every time you close and then open the file, it opens with a NEW set of questions and their solutions.
    Also, every time you click on F9 on your keyboard, the numbers refresh in the file and you will have a NEW set of questions and their solutions.
  2. Converting a "Mixed Number" into an "Improper Fraction". Example.
  3. Adding & subtracting, involving integers & fractions.pdf. Example.
  1. How to convert a fraction to percent? Convert 24/80 to percent? Solution.
  2. needs work; How to convert a number to a percent? What percent of 80 is 24? On the solution page, please look at the lower half of the page. Solution.
  1. needs work; What is 30% of 80? Solution.
  2. Traveler's cheque. & 7% fee. USA to Ghana. USD to Cedi.
    ISBN 0448, Page686, Section04, Q35 Question & Solution.
  1. Mean, Median, Mode, and Range
  2. Beakers with diameters of 1/2, 3/4, 4/5, 1, 5/4.
    ISBN 0448, Page687, Section04, Q37, or
    ISBN 0581, Page695, Section04, Q37 Solution.
    ISBN 0448, Page687, Section04, Q38, or
    ISBN 0581, Page695, Section04, Q38 Solution.
  1. Exponents; Basics. Examples.
  2. Square Roots; Basics. Examples.

  3. Square inscribed in a circle. Area of circle is what percent of area of square?
    ISBN 0448, Page687, Section04, Q36 &
    ISBN 0581, Page784, Section04, Q36 Solution.
  1. Exponents; Basics. Examples.
  2. Square Roots; Basics. Examples.
  3. Exponents with Square Roots. Examples.
  1. Interest Rates. SIMPLE. Basics. Example.
  2. Interest Rates. COMPOUND. Basics. Example.
    3. Print the SIMPLE & COMPOUND Interest Rate pages and compare.
  1. Coordinate geometry. POINTS. basics.Example.
  2. You are given the coordinate points (-1,3), (3,0) and (6,4). Prove that they are the vertices of a right angle triangle? Solution 1 (Pythagorean Theorem). Example.
  3. You are given the coordinate points (-1,3), (3,0) and (6,4). Prove that they are the vertices of a right angle triangle? Solution 2 (Proof using perpendicularity of lines). Example. NeedsWork

  4. Coordinate geometry. LINES. Animation on graph
    5. (a)Lines: Slope Intercept Form;;; Example ;;;
    (b)Lines: Slope Intercept Form;;; Example ;;; Steps
    (c)Lines: Point .Slope .....Form;;; Example ;;;
    (d)Lines: Two ...Point .....Form;;; Example ;;;
  5. Coordinate geometry. LINES. basics.
    y=     mx+c
    y=   mx+c
    y=(slope)x+intercept Example.
  6. Which of the following points is on the line. "2y=5x+10". Example.

  7. Coordinate geometry. CIRCLES. basics. Examples.
    8. (a) Location (Quadrant),
    (b) Center (coordinate point) and
    (c) Radius of a circle can be easily obtained by looking at the equation of a circle.

  8. PARABOLA. Basics. Examples
    9. Examples from Desmos:
    (a) https://www.desmos.com/calculator/8n945tyace ;;; Parabola ...Standard Form ................Example
    (b) https://www.desmos.com/calculator/gyo059ikit ;;; ..Parabola ...Vertex .....Form ................Example
    (c) https://www.desmos.com/calculator/jjgda13jhf ;;; ...Parabolas: Standard Form + Tangent Example

Example 01: How to convert a fraction to percent? Convert 24/80 to percent. DONE.

Example 02: needs work; How to convert a number to a percent? What percent of 80 is 24? On the solution page, please look at the lower half of the page. DONE.

Example 03: needs work; What is 30% of 80? DONE.

Example 04: Exponents

Example 05: Interest rates; SIMPLE Interest

Example 06: Interest rates; COMPOUND Interest

Example 07: Square Roots

Example 08: Adding & Subtracting; Involving Integers & Fractions

Example 09: Absolute Values

Example 10: Coordinate Geometry, Coordinate Points

Q/Example 11: You are given the coordinate points (-1,3), (3,0) and (6,4). Prove that they are the vertices of a right angle triangle? Solution 1 (Pythagorean Theorem)

Q/Example 12: You are given the coordinate points (-1,3), (3,0) and (6,4). Prove that they are the vertices of a right angle triangle? Solution 2 (Proof using perpendicularity of lines)

Examples 13: needs work; Coordinate Geometry, Straight Lines

Example xx needs checking / work; Question: 2nd Method. Which of the following points, is on the line 2y = 5x + 10; 100

Example 14: A parallelogram is formed by the points A(4, -2), B(7, 2), C(0, 9) and D(-3, 5). If AB is the base of the parallelogram, what is the height of the parallelogram? What is the area of the parallelogram?

Example 15: Coordinate Geometry, Circles

Example 16: If “n” is any positive integer, prove that only one of the numbers, “n-1”, “n+1” or “n+3” is divisible by 3

Example 17: ISBN 0448--Solved Questions Pages 664 onwards--Q8, 10, 14, 19, 32, 35, 36, 37, candidate A total

Example 18: ISBN XXXX--Pages 042--Qxx--20220903-1745--ocr--Solved Questions Pages 042 onwards--Q 11, 12, 13, 14, 15, 19, 20,

Example 19: ISBN XXXX--Test01--PagesXXX--Qxx--20220912-0946--ocr--Solved Questions--ocr--.pdf

Example 20: ISBN XXXX--Test#6--Qxx--20220911-1143--ocr--Solved Questions --

Test#02-Section04-Solutions
  1. In the figure, each pulley added to the pulley system, after the pulley with load, reduces the amount of force required...?
    ISBN 0448, Page580, Section04, Q21 &
    ISBN 0581, Page590, Section04, Q21 Solution.
  1. In the system of equations above, "k" is a constant.
    If (a,b) is the solution to the system, what is the value of a, in terms of k?
    ISBN 0448, Page582, Section04, Q25 &
    ISBN 0581, Page592, Section04, Q25 Solution.

  2. According to the U.S. Department of Labor, the umemployment rate in January of 2012 is the United States was 8.3%. According to the same department, the umemployment rate in January of 2016 was 4.9%. According to the U.S. Department of Labor, how did the unemployment rate change from January 2012 to January 2016?
    ISBN 0448, Page582, Section04, Q26 &
    ISBN 0581, Page592, Section04, Q26 Solution.

    3. Questions 27 and 28 expect you to have a basic understanding of Bar/Column Charts & Graphs and Box & Whisker Plots

    In a particular college, the test scores of the most recent test given for a particular Physics class and a particular Literature class were studied. Both tests were scored from 0 to 100 and had a total of 20 questions, which were equally weighted with no partial credit. The Physics class had 128 students and the Literature class had 75 students. The test results are shown in the two graphs below.
  3. The dean of the college is comparing the scores from the two classes and calculates the median for each class. If the dean labels the median score of the Physics class P and the median score of the Literature class L, what is the sum of P and L ? needs work
    ISBN 0448, Page582, Section04, Q27 &
    ISBN 0581, Page592, Section04, Q27 Solution.

  4. Which of the following box plots most accurately represents the result of the Literature test? needs work
    ISBN 0448, Page583, Section04, Q28 &
    ISBN 0581, Page593, Section04, Q28 Solution.

  5. In the figure above, lines p and q are graphed on the xy plane. What is the x intercept of line q ? needs work
    ISBN 0448, Page583, Section04, Q29 &
    ISBN 0581, Page593, Section04, Q29 Solution.

Test#03-Section03-Solutions
  1. The rotation rate of a mixing blade...?
    ISBN 0448, Page664, Section03, Q08 &
    ISBN 0581, Page672, Section03, Q08 Solution.
  1. Based on the system of equations, what is the sum of r & v?
    ISBN 0448, Page670, Section03, Q19 &
    ISBN 0581, Page678, Section03, Q19 Solution.

Test#03-Section04-Solutions
  1. In the expression {(6/5)}/{(12/2y)-(5/y)}=1; what is the value of "y" ?
    ISBN 0448, Page685, Section03, Q32 &
    ISBN 0581, Page693, Section03, Q32 Solution. <<<

  2. During a presedential Election...? Needs Work
    ISBN 0448, Page685, Section03, Q33 &
    ISBN 0581, Page693, Section03, Q33 Solution.
  1. Marcellus is traveling abroad in Ghana...?
    ISBN 0448, Page686, Section04, Q35 &
    ISBN 0581, Page694, Section04, Q35 Solution.

  2. A Square is inscribed in a circle. Area of circle is what percent of area of square?
    ISBN 0448, Page687, Section04, Q36 &
    ISBN 0581, Page694, Section04, Q36 Solution.

    3. Mean, Median, Mode, and Range
    Beakers with diameters of 1/2, 3/4, 4/5, 1, 5/4.
  3. ISBN 0448, Page687, Section04, Q37, or
    ISBN 0581, Page695, Section04, Q37 Solution.
  4. ISBN 0448, Page687, Section04, Q38, or
    ISBN 0581, Page695, Section04, Q38 Solution.


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Test#04-Section04-Solutions
  1. In a certain function, "a" is a constant. The value of the function is "5" when "x=b". If the function can be modeled using the equation f(x)=ax^2, what is the value of the function when "x=3b"?
    ISBN 0448, Page770, Section04, Q18 &
    ISBN 0581, Page778, Section04, Q18 Solution.

  2. 0.27(a+b)=0.15a+0.35b
    An athletic trainer is attempting to produce a solution that is at 27% ...
    A supply company provides solutions that are at 15% & 35% carbohydrates by mass...
    ISBN 0448, Page770, Section04, Q19 &
    ISBN 0581, Page778, Section04, Q19 Solution.
  1. In a certain function, "a" is a constant. The value of the function is "5" when "x=b". If the function can be modeled using the equation f(x)=ax^2, what is the value of the function when "x=3b"?
    ISBN 0448, Page776, Section04, Q36 &
    ISBN 0581, Page784, Section04, Q36 Solution.

    2. To leave the Moon's gravity well, a shuttle must reach speeds of 8568 kilometers per hour. This speed is known as escape velocity because, if not reached, the shuttle would not be able to escape the Moon's gravity and return to Earth.
  2. If the space shuttle traveling at escape velocity has 150 km left before reaching lunar orbit...?
    ISBN 0448, Page776, Section04, Q37 &
    ISBN 0581, Page784, Section04, Q37 Solution.

  3. What is the space shuttle's escape velocity in meters per second, rounded to the nearest hundred?
    (1 kilometer = 1000 meters)?
    ISBN 0448, Page776, Section04, Q38 &
    ISBN 0581, Page784, Section04, Q38 Solution.

SAT, College Board

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