Math Prep 1 April Exam 2025

• These study notes cover math topics and include practice questions.

امتحان ابریل (April Exam)

• This section seems to indicate the document is related to an April exam.
• It includes model exam questions for preparation.
• The "المنقذ" logo is present, accompanied by the phrase "You Must Add Value."
• The material appears to be for "PREP 1" students.
• The academic year mentioned is 2025, specifically the Second Term.
• The content is attributed to أ/ محمود الخولي (A/ Mahmoud El-Khouly).

نماذج امتحانات (Exam Models)

• The document contains exam models.

Question 1: Choose the Correct Answer

• 24x²y³ ÷ (-6x²) simplifies to 4y².
• A square with a diagonal length of 12 feet has an area of 72 square feet.
• Among the points (-7,0), (0,3), (-2,5), and (4,-10), (0,3) remains the same when reflected in the y-axis.
• The image of the point (-4,0) after rotation by R(0,90°) followed by rotation R(0,-90°) is (-4,0).
• A rhombus with diagonal lengths of 6 inches and 10 inches has an area of 30 square inches.
• 24x²y³z = -2xyz is solved by -12xy².
• If the point A (3,5) becomes the point B after a translation (x,y) → (x-1,y+2) on Point A, then Point B is (4,3).
• The image of the point (-3,0) is the same point by reflection in the X-axis.
• When bisecting the line segment AB with a compass, AC > 1/2 AB.
• If 4x³/x = 1, the value of a is 1.
• The image of the point (a, b) reflected in the y-axis is (-a,b).
• When bisecting < BAC with a compass in the opposite figure, m(<EAF) is found.
• ... ÷ 8ab = 4ab leads to 32 a²b².
• The point whose image by rotation R (0,180°) is (-3,1) is (3,-1).
• The product of the length of two diagonals of a square is 16 square meters and the area of the square in square meters is 8.
• If 2x-6 / 6-2x = a, then the value of a is -1.

Question 2: Answer the Following

• Square diagonal length, where area equals a rhombus (diagonals 4 and 16 meters): A1 = 32m²
• Draw the rectangle ABCD where A (2, 1), B (2, 3), C (-3, 3), and D (-3, 1), then, reflect its image in the X-axis.

Question 2: Answer the following:

• Steps provided on calculating bisector of a square where area equals area of a rhombus with diagonals 4 meters and 16 meters.
• Provide steps to draw the rectangle ABCD where A (2, 1), B (2, 3), C (-3, 3), and D (-3, 1); then, its image reflected in the X-axis.
• The quotient of (x² – 20 – x) divided by (x – 5) is found.
• An equilateral triangle with a perimeter of 18 cm has a side length of 6 cm.
• In terms of x, the area of the opposite trapezium is determined.
• The image of polygon ABCD is found with rotation R (O, -270° ) where A (2,0) , B (2,4) , C (0,4) , D (0.2).
• △ ABC is drawn where AB = 6 cm, BC = 5 cm and m (<B) = 70°, then the type of the triangle needs to be determined according to the measures of its angles; it is an acute angled triangle.
• The length of the middle base in a trapezium is equal to 15 feet and its height is 8 feet and its area is 60 square feet.

Correct Answer, cont.

• The image of the point (5,0) by rotation R (0,90°) is (0,5).
• If the dimensions of a rectangle are 4a and 7a units, the area is 28a².
• The area of a square in 6cm, by 12 cm triangle where s is 6cm.

More Problems

• Find area with x=5.
• Bisect with ruler and compass.
• Factor the numbers.
• A=9 m².
• Use translation to find the formula relating to triangle.
• Two bisectors' areas are equal to their lengths.
• The two parallel equations are 6cm and 10cm.
• A square equalateral formula involves 8cm lengths.

Model (3)

• Calculation for length.

Model (5)

• Value of N.

Additional tasks

• If ABCD is a rhombus with its diagonals intersecting at M, then the area of the rhombus in terms of X is to be calculated and then the numerical value of the area needs to be derived when X = 7.
• Find the areas, given: A =1/2 d1⋅ d2.
• Steps include identifying what bisecting is, and how to find it.
• The quotient is to be found.
• Trapezium area is to be found, given: A = ½ (b₁ + b₂) × h.
• Dimensions and rectangle are to be found.
• Color shape of the parts related to the fraction are to be found.

More Problems

• What is the translated point value?
• Which is the relationship in shape?
• Identify point in translation.
• What is 28a2?
• Measure for A(-2,1).

Model 4

• Finding a value.