**Q5: **

Find the two points on the line with a -coordinate which is six times the square of the coordinate.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q6: **

A fatherβs age is 10 more than 2 times his sonβs age. The sum of the squares of their ages is 4 more than 3 times the product of their ages. What are their ages?

- A the fatherβs age , the sonβs age
- B the fatherβs age , the sonβs age
- C the fatherβs age , the sonβs age
- D the fatherβs age , the sonβs age
- E the fatherβs age , the sonβs age

**Q7: **

Solve the simultaneous equations

- A and , and
- B and , and
- C and , and
- D and , and
- E and , and

**Q8: **

Given that and , find .

**Q9: **

Given that , determine the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q10: **

Given that and , determine the value of .

- A
- B
- C
- D
- E

**Q11: **

A right triangle has a hypotenuse of 35 cm and a perimeter of 84 cm. Find the lengths of the other two sides.

- A 28 cm, 56 cm
- B 56 cm, 42 cm
- C 21 cm, 26 cm
- D 28 cm, 21 cm
- E 42 cm, 28 cm

**Q12: **

Find all of the solutions to the simultaneous equations and .

- A
- B
- C
- D

**Q13: **

Find all of the solutions to the simultaneous equations and .

- A
- B
- C
- D

**Q14: **

Find all of the solutions to the simultaneous equations and .

- A
- B
- C
- D

**Q15: **

The difference between the perimeters of two square
yards is 4 m and the difference between their areas is 39 m^{2}.
Find the side length of each yard.

- A80 meters, 76 meters
- B21 meters, 18 meters
- C84 meters, 72 meters
- D20 meters, 19 meters

**Q16: **

Find the set of points of intersection of the graphs of and .

- A
- B
- C
- D

**Q17: **

Two numbers have a difference of 6. If the sum of their squares is 68, what are the numbers?

- A or
- B or
- C or
- D or

**Q18: **

Solve the given simultaneous equations.

- A and , and
- B and , and
- C and , and
- D and , and
- E and , and

**Q19: **

Find the set of points of intersection of the graphs of and .

- A
- B
- C
- D

**Q20: **

Find the set of points of intersection of the graphs of and .

- A
- B
- C
- D

**Q21: **

What is the -coordinate of the point where the line meets the curve ?

- A
- B
- C
- D

**Q22: **

Find the set of points of intersection of the graphs of and .

- A
- B
- C
- D

**Q23: **

Find the set of points of intersection of the graphs of and .

- A
- B
- C
- D

**Q24: **

Find the set of points of intersection of the graphs of and .

- A
- B
- C
- D

**Q25: **

The sum of two numbers is 11 and the sum of their squares is 65. What are the numbers?

- A ,
- B ,
- C ,
- D ,