QUESTION 4:   4.1) Expand and simplify

QUESTION 3:     RIGHT Click on the blue button to view the diagram to answer the questions below:         3.1) Write down the size of the angle marked a, giving a reason for your answer. (2) 3.2) Calculate the size of the angle marked b. Give a reason for your answer. (3)

INSTRUCTIONS   1. The answers you provide must be your own, original work. No copying from any source is allowed.   2. Calculators may be used, BUT ALL WORKING MUST BE SHOWN!   3. WRITE answers FOR SECTION A on FOLIO line paper.   4. No typed answers are allowed.   5. Multiple pages of handwritten answers must be scanned and saved as 1 PDF FILE. No images are allowed or will be accepted. (Use Cam-scanner or any app that has this function).   6. Write your answers to each question below one another and NOT NEXT to each other. Draw a line at the end of each question.   7. Your pages scanned in the PDF File should be UPRIGHT and not sideways or upside down.   8. Scan all your answers to this exam into one .pdf file. Name your file as indicated: IG11_InitialSurname_P2F   9. FINAL answers must be rounded off to 2 decimal places unless stated otherwise in any specific question.   10. Write NEATLY and Legibly and number according to the numbering system in this test.

QUESTION 7:   A car park has 880 parking spaces.   7.1) Some of the spaces are reserved. The ratio of reserved spaces: not reserved spaces = 1 : 10. Work out the number of spaces that are not reserved. (2) 7.2) 25% of the 880 spaces are on the top floor. Work out the number of spaces that are on the top floor. (1) 7.3) At 06:00 one morning,  of the 880 spaces are filled. By 06:30, no cars have left the car park but another  of the 880 spaces are filled. Work out the fraction of the 880 spaces that are empty at 06:30. (3)   The cost of each visit to the car park is shown in the table.   Length of visit Cost (£) Up to 20 minutes Free More than 20 minutes and up to 2 hours 3.50 More than 2 hours and up to 4 hours 6.50 More than 4 hours and up to 8 hours 12.50 More than 8 hours and up to 24 hours 16.00   7.4) Samantha arrives at 11:40 and leaves at 15:30. Find the cost of her visit. (1) 7.5) Radhika leaves the car park at 17:50 and pays £12.50   7.5.1) Work out the earliest time she could have arrived at the car park. (1) 7.5.2) Work out the change she receives from a £20 note. (1) 7.6) Jayden bought a weekly car park ticket for £36. That week, he visited the car park four times. These are the lengths of time he parked his car for. 17 minutes;  hours; 11 hours; hours Work out how much he saved by buying a weekly ticket. (3)

SECTION A Answer Questions 1 – 9 on folio line paper

QUESTION 6:   is inversely proportional to m. When   6.1) Find a fully simplified formula for  in terms of . (4) 6.2) What is the value of when ? Give your answer rounded to 1 decimal place. (2)

QUESTION 12:   Triangles ABC and BCD are both right-angled triangles.     RIGHT Click on the blue button to view the triangles       12.1) Calculate the value of y. (3) 12.2) Calculate the value of x. (2)

QUESTION 8:     The diagram shows two vertical posts, AB and CD, on horizontal ground. The angle of elevation of C from B is 49º Calculate the length of BD. Give your answer to three Significant figures. (3)   RIGHT Click on the blue button to view the diagram      

QUESTION 11:   A diagram shows a straight line, , drawn on the grid below:   RIGHT Click on the blue button to view the grid     A straight line is parallel to the straight line and passes through the point (0; -5). Find an equation of the straight line . (3)

QUESTION 3:   Consider this sequence: 7, 13, 23, 37, 55, …   3.1) How can we tell that this sequence is not an arithmetic sequence? (1) 3.2) Find the nth term of the sequence. (4)