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- Question 1 of 14
##### 1. Question

The sum of a positive integer and its square is 56. Find the two numbers.

CorrectIncorrect - Question 2 of 14
##### 2. Question

The length of a rectangle is 3 cm longer that its width. Given the area of the rectangle is 28, find the perimeter of the rectangle.

CorrectIncorrect - Question 3 of 14
##### 3. Question

The width of a rectangle is

*x*cm and its length is (*x*+3) cm. Find the value of*x*, if the area of the rectangle is 40 cm^{2.}CorrectIncorrect - Question 4 of 14
##### 4. Question

The diagram above shows a shape with the given dimensions. The area of the shape is 29 cm

^{2. }(i) Show that

*x*^{2}+3*x*-10=0Grading can be reviewed and adjusted.Grading can be reviewed and adjusted. - Question 5 of 14
##### 5. Question

(ii) Find the value of

*x*.CorrectIncorrect - Question 6 of 14
##### 6. Question

The above figure shows a rectangular piece of cardboard of length (2

*x+*5) cm and width (*x*+2) cm. A rectangular piece of length (*x*+1) cm and width*x*cm, shown**shaded**in the figure has been removed from the piece of cardboard.Given that the area of the remaining piece of cardboard is 30 cm

^{2}, find the value of*x*.CorrectIncorrect - Question 7 of 14
##### 7. Question

Adrien bought (

*x*+8) pens at Rs*x*each. Given that he paid Rs 48 for the (*x*+8) pens. Find the number pens bought by Adrien.CorrectIncorrect - Question 8 of 14
##### 8. Question

Paul is

*x*years old. Bertie is 5 years older than Paul. Given that the product of their ages is 84, find the age of Bertie.CorrectIncorrect - Question 9 of 14
##### 9. Question

A bird flies at a speed of (

*x*+3) m/s for seconds. Given that it flies a distance of 70 m in the*x*seconds, find the distance the bird would have flown in 12 seconds.CorrectIncorrect - Question 10 of 14
##### 10. Question

The length of a rectangle is 5 cm longer than its width. Given the area of the rectangle is 50 cm

^{2}, find the perimeter of the rectangle.CorrectIncorrect - Question 11 of 14
##### 11. Question

The diagram shows a rectangle

*AEFD*divided into a square*ABCD*and a rectangle*BEFC*with the dimensions shown. Given the area of the rectangle*AEFD*is 45 cm^{2}, find the perimeter of the rectangle*BEFC*.CorrectIncorrect - Question 12 of 14
##### 12. Question

The length of a rectangle is (2

*x*+5) cm and its width is (*x*+6) cm. A square has length (3*x*+4) cm. Find the area of the rectangle.CorrectIncorrect - Question 13 of 14
##### 13. Question

Peter buys

*x*articles at (2*x*+1) rupees each and 2*x*articles at (*x*-2) rupees each. Given that Peter pays Rs 85 in all, find the value of*x*.CorrectIncorrect - Question 14 of 14
##### 14. Question

The diagram shows a right-angled triangle. Using Pythagoras theorem, find the length of the hypotenuse.

CorrectIncorrect