Certificate in Triple Geometry Test 05 (CTGT05)

Certificate in Triple Geometry Test 05 (CTGT05)

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Question 1 of 12

1. Question
3 point(s)
Solve in whole numbers x² + y² = 20
- x = 2, y = 4 or x = 4, y = 4
- x = 3, y = 5 or x = 5, y = 3
- x = 4, y = 4
- x = 2, y = 4 or x = 4, y = 2
Question 2 of 12

2. Question
4 point(s)
Solve in whole numbers (x + 1)² + (y + 3)² = 40
- x is in the range 1 to 3 inclusive; y is in the range 1 to 3 inclusive
- x is in the range 4 to 6 inclusive; y is in the range 1 to 3 inclusive
- x is in the range 1 to 3 inclusive; y is in the range 4 to 6 inclusive
- x is in the range 6 to 6 inclusive; y is in the range 4 to 6 inclusive
Question 3 of 12

3. Question
4 point(s)
Find a solution in whole numbers to (x + 3)² + (x – 2)² = 53
- x is in the range 0 to 2 inclusive
- x is in the range 2.1 to 4 inclusive
- x is in the range 4.1 to 6 inclusive
- x is in the range 6.1 to 8 inclusive
Question 4 of 12

4. Question
4 point(s)
Find a solution in whole numbers to (x – 5)² + (x + 2)² = 109
- x is in the range 0 to 2 inclusive
- x is in the range 2.1 to 4 inclusive
- x is in the range 4.1 to 6 inclusive
- x is in the range 6.1 to 8 inclusive
Question 5 of 12

5. Question
4 point(s)
Find a solution in whole numbers to (2x – 5)² + (x + 1)² = 98
- x is in the range 0 to 2 inclusive
- x is in the range 2.1 to 4 inclusive
- x is in the range 4.1 to 6 inclusive
- x is in the range 6.1 to 8 inclusive
Question 6 of 12

6. Question
4 point(s)
Express 0.8 as a sum of squares
- The answer is one of these: 0.6^2 + 0.2^2, 0.4^2 + 0.4^2
- The answer is one of these: 0.1^2 + 0.3^2, 0.3^2 + 0.4^2
- The answer is one of these: 0.5^2 + 0.2^2, 0.4^2 + 0.8^2
- The answer is one of these: 0.9^2 + 0.1^2, 0.8^2 + 0.2^2
Question 7 of 12

7. Question
4 point(s)
Express 0.08 as a difference of squares
- The answer is one of these: 0.6^2 – 0.1^2, 0.3^2 – 0.2^2
- The answer is one of these: 0.3^2 – 0.1^2, 0.4^2 – 0.2^2
- The answer is one of these: 0.4^2 – 0.1^2, 0.5^2 – 0.4^2
- The answer is one of these: 0.3^2 – 0.01^2, 0.6^2 – 0.02^2
Question 8 of 12

8. Question
4 point(s)
A solution to cos²A + cos²B = 0.26 is
- A)1,―,2, B)1,―,10
- A)―,1,2, B)―,1,10
- A)1,―,5, B)1,―,10
- A)―,1,5, B)―,1,10
Question 9 of 12

9. Question
4 point(s)
A solution to sin²A + cosec²A = 82/9 is
- A)1,―,3
- A)―,1,9
- A)1,―,9
- A)―,1,3
- none of these
Question 10 of 12

10. Question
4 point(s)
A solution to cot²A – tan²A = 15/4 is
- 4,1,―
- 1,4,―
- 1,2,―
- 2,1,―
- none of these
Question 11 of 12

11. Question
4 point(s)
The hypotenuse of a right-angled triangle is 26. What are the other sides if they are whole numbers?
- 5 and 1
- 12 and 5
- 24 and 5
- 24 and 10
Question 12 of 12

12. Question
4 point(s)
Find x in the diagram given all sides are integers:
- 3
- 4
- 5
- 6
- 8
- 12

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