Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 52° Find ∠AOC. 52° o Answer:_______________ |
| 2) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 72° Find ∠AOC. 72° o Answer:_______________ |
| 3) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 48° Find ∠AOC. 48° o Answer:_______________ |
| 4) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 56° Find ∠AOC. 56° o Answer:_______________ |
| 5) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 74° Find ∠AOC. 74° o Answer:_______________ |
| 6) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 76° Find ∠AOC. 76° o Answer:_______________ |
| 7) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 64° Find ∠AOC. 64° o Answer:_______________ |
| 8) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 60° Find ∠AOC. 60° o Answer:_______________ |
| 9) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 80° Find ∠AOC. 80° o Answer:_______________ |
| 10) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 54° Find ∠AOC. 54° o Answer:_______________ |
| 1) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 52° Find ∠AOC. 52° Answer: 128o SOLUTION 1 : Step 1: ∠BCA = (180 - 52) ÷ 2 = 64o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 26o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 26 - 26 = 128o (sum of angles in a triangle) |
| 2) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 72° Find ∠AOC. 72° Answer: 108o SOLUTION 1 : Step 1: ∠BCA = (180 - 72) ÷ 2 = 54o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 36o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 36 - 36 = 108o (sum of angles in a triangle) |
| 3) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 48° Find ∠AOC. 48° Answer: 132o SOLUTION 1 : Step 1: ∠BCA = (180 - 48) ÷ 2 = 66o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 24o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 24 - 24 = 132o (sum of angles in a triangle) |
| 4) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 56° Find ∠AOC. 56° Answer: 124o SOLUTION 1 : Step 1: ∠BCA = (180 - 56) ÷ 2 = 62o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 28o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 28 - 28 = 124o (sum of angles in a triangle) |
| 5) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 74° Find ∠AOC. 74° Answer: 106o SOLUTION 1 : Step 1: ∠BCA = (180 - 74) ÷ 2 = 53o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 37o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 37 - 37 = 106o (sum of angles in a triangle) |
| 6) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 76° Find ∠AOC. 76° Answer: 104o SOLUTION 1 : Step 1: ∠BCA = (180 - 76) ÷ 2 = 52o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 38o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 38 - 38 = 104o (sum of angles in a triangle) |
| 7) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 64° Find ∠AOC. 64° Answer: 116o SOLUTION 1 : Step 1: ∠BCA = (180 - 64) ÷ 2 = 58o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 32o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 32 - 32 = 116o (sum of angles in a triangle) |
| 8) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 60° Find ∠AOC. 60° Answer: 120o SOLUTION 1 : Step 1: ∠BCA = (180 - 60) ÷ 2 = 60o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 30o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 30 - 30 = 120o (sum of angles in a triangle) |
| 9) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 80° Find ∠AOC. 80° Answer: 100o SOLUTION 1 : Step 1: ∠BCA = (180 - 80) ÷ 2 = 50o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 40o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 40 - 40 = 100o (sum of angles in a triangle) |
| 10) In the figure below, O is the centre of circle. ∠ABC is an isosceles triangle. ∠ABC = 54° Find ∠AOC. 54° Answer: 126o SOLUTION 1 : Step 1: ∠BCA = (180 - 54) ÷ 2 = 63o (isosceles triangle) Step 2: ∠OCA = 90 - 51 = 27o Step 3: ∠OAC = ∠OCA (isosceles triangle, OA and OC are radii of circle) Step 4: ∠AOC = 180 - 27 - 27 = 126o (sum of angles in a triangle) |