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A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?


A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?


In the cartesian plane OXY, we consider the lines with equation ax + 3y + 4=0 and x + 2ay + 7=0 with a as real parameter. Which of the following statements is true?

A. There exist a unique value for a for which the lines are parallel and distinct

B. A unique value of a exists for which the lines are coincident

C. Two values of a exist for which the lines are parallel

D. No value of a for which the lines are parallel


We consider 3 non-aligned points in the plane.  How many lines can one find that are

 exactly at the  same distance from these three points


a ship leaves port at 1 pm traveling north at the speed of 30 miles per hour. At 3 pm the ship adjust its course 20 degrees eastward, how far was the ship from the port at 4pm. What law we will use to answer the problem


Use the following go show representation of square numbers
Square grid
Isometric dotty paper
Square dotty paper

1.2 Make a sketch or a diagram of the first four -

(a) square numbers (2)

(b) triangular numbers (2)

1.3 Set up a number pattern with six terms each, for

(a) square numbers (3)

(b) triangular numbers (3)

1.4 Describe and explain the Pythagoras theorem for right angled triangles (5)

1.5 Sketch a detail example in real life of an application of the Pythagoras theorem (4)


1.1. Describe, explain and give examples of three important mathematical ideas which Euclid wrote about:
(a) prime numbers (3)
(b) rational numbers (3)
(c) irrational numbers (3)

1.2. Let a white and black straight line cross three times, each time at different angles. Explain the Euclidean idea that opposites angles are the same size (congruent): (2)

Select the correct answer.

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

A. -3x + 4y = 3

B. -1.5x − 3.5y = -31.5

C. 2x + y = 20

D. -2.25x + y = -9.75



For circle H, JN = 3, NK = x, LN = 2, and NM = 6. Solve for x.



Study the following patterns and then extend them by drawing in the next two stages



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