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WAEC REVISION – Geometry and Vectors

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Definition of a vector. A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. … Two examples of vectors are those that represent force and velocity.

In this topic, we cover the following: Angles, triangles, polygons, circles, geometric ratios, translation, rotation, reflection & enlargement, vectors quantities, sum and difference of vectors, scalar multiplication, vector components, vector algebra, congruencies, enlargement and combining transformations. At the end of this topic, students should understand the following among other things:

  • Recall and build on previous knowledge to define and distinguish between displacement equivalent and position vectors,
  • Use the present knowledge and recall previous knowledge to calculate the magnitude and direction of a vector and solve questions relating to polygon, property of quadrilaterals, triangles, congruent of triangles, chords of a circle, angle properties of circles, tangents of circles, contact of circles, geometric ratios and the intercept and midpoint theorems,
  • Use the present and past knowledge to solve mathematical expressions relating to translation, rotation, reflection and enlargement,
  • Solve questions on vectors, equal and parallel vectors, position vector, sum of vectors, difference of two vectors and cartesian components of a vector.
1
SS3-WAEC REVISION 5- LESSON 1A-GRADIENT OF STRAIGHT LINES
23 Minutes
2
SS3-WAEC REVISION 5- LESSON 1B-GRADIENT OF STRAIGHT LINES
19 Minutes
3
SS3-WAEC REVISION 6- LESSON 1A-CIRCLE GEOMETRIC
32 Minutes
4
SS3-WAEC -REVISION 6- LESSON 1B-CIRCLE GEOMETRIC
13 Minutes
5
SS3-WAEC REVISION 6- LESSON 1A-GEOMETRIC RATIOS
23 Minutes
6
SS3-REVISION 6- LESSON 1B-GEOMETRIC RATIOS
17 Minutes
7
SS3-WAEC REVISION 8- LESSON 1A-CIRCLE GEOMETRY & DEDUCTIVE PROOF
25 Minutes
8
SS3-WAEC REVISION 8- LESSON 1B-CIRCLE GEOMETRY & DEDUCTIVE PROOF
15 Minutes
9
SS3-WAEC REVISION 8- LESSON 2A-CIRCLE GEOMETRY & DEDUCTIVE PROOF
21 Minutes
10
SS3-WAEC REVISION 8- LESSON 5A-SIMILAR TRIANGLE & DEDUCTIVE PROOF
25 Minutes
11
SS3-WAEC REVISION 8- LESSON 5B-SIMILAR TRIANGLE & DEDUCTIVE PROOF
14 Minutes

REVISION LESSON-SOLVED EXAM QUESTIONS (OBJ)

1
GEOMETRY AND VECTORS OBJECTIVE 1
1 Minute
2
GEOMETRY AND VECTORS OBJECTIVE 2
1 Minute
3
GEOMETRY AND VECTORS OBJECTIVE 3
2 Minutes
4
GEOMETRY AND VECTORS OBJECTIVE 4
4 Minutes
5
GEOMETRY AND VECTORS OBJECTIVE 5
1 Minute
6
GEOMETRY AND VECTORS OBJECTIVE 6
1 Minute
7
GEOMETRY AND VECTORS OBJECTIVE 7
3 Minutes
8
GEOMETRY AND VECTORS OBJECTIVE 8
1 Minute
9
GEOMETRY AND VECTORS OBJECTIVE 9
1 Minute
10
GEOMETRY AND VECTORS OBJECTIVE 10
2 Minutes
11
GEOMETRY AND VECTORS OBJECTIVE 11
2 Minutes
12
GEOMETRY AND VECTORS OBJECTIVE 12
2 Minutes
13
GEOMETRY AND VECTORS OBJECTIVE 13
3 Minutes
14
GEOMETRY AND VECTORS OBJECTIVE 14
4 Minutes
15
GEOMETRY AND VECTORS OBJECTIVE 15
3 Minutes
16
GEOMETRY AND VECTORS OBJECTIVE 16
2 Minutes
17
GEOMETRY AND VECTORS OBJECTIVE 17
2 Minutes
18
GEOMETRY AND VECTORS OBJECTIVE 18
3 Minutes
19
GEOMETRY AND VECTORS OBJECTIVE 19
3 Minutes
20
GEOMETRY AND VECTORS OBJECTIVE 20
2 Minutes
21
GEOMETRY AND VECTORS OBJECTIVE 21
3 Minutes
22
GEOMETRY AND VECTORS OBJECTIVE 22
2 Minutes
23
GEOMETRY AND VECTORS OBJECTIVE 23
3 Minutes
24
GEOMETRY AND VECTORS OBJECTIVE 24
1 Minute
25
GEOMETRY AND VECTORS OBJECTIVE 25
2 Minutes
26
GEOMETRY AND VECTORS OBJECTIVE 26
1 Minute
27
GEOMETRY AND VECTORS OBJECTIVE 27
2 Minutes
28
GEOMETRY AND VECTORS OBJECTIVE 28
2 Minutes
29
GEOMETRY AND VECTORS OBJECTIVE 29
1 Minute
30
GEOMETRY AND VECTORS OBJECTIVE 30
2 Minutes

REVISION LESSON-SOLVED EXAM QUESTIONS (THEORY)

1
Topic 12- GEOMETRY & VECTORS-(Theory Question 207)
3 Minutes
2
Topic 12- GEOMETRY & VECTORS-(Theory Question 208)
3 Minutes
3
Topic 12- GEOMETRY & VECTORS-(Theory Question 209)
4
Topic 12- GEOMETRY & VECTORS-(Theory Question 210)
2 Minutes
5
Topic 12- GEOMETRY & VECTORS-(Theory Question 211)
1 Minute
6
Topic 12- GEOMETRY & VECTORS-(Theory Question 212)
2 Minutes
7
Topic 12- GEOMETRY & VECTORS-(Theory Question 213)
3 Minutes
8
Topic 12- GEOMETRY & VECTORS-(Theory Question 214)
2 Minutes
9
Topic 12- GEOMETRY & VECTORS-(Theory Question 215)
2 Minutes

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