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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 cm2.
CorrectIncorrect - Question 4 of 14
4. Question
The diagram above shows a shape with the given dimensions. The area of the shape is 29 cm2.
(i) Show that x2+3x-10=0
Grading 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 (2x+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 cm2 , 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 cm2, 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 cm2, find the perimeter of the rectangle BEFC.
CorrectIncorrect - Question 12 of 14
12. Question
The length of a rectangle is (2x+5) cm and its width is (x+6) cm. A square has length (3x+4) cm. Find the area of the rectangle.
CorrectIncorrect - Question 13 of 14
13. Question
Peter buys x articles at (2x+1) rupees each and 2x 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