4. Make x the subject of 5(x – 3) = y(4 – 3x) x = ….................................. 4 marks) 5. Rearrange the formula to make a the subject. A =….................................. (Total 4 marks) 6. Make x the subject of the formula. X =…............................. (Total 4 marks)
x = ………………° (2) The diagram shows part of a regular octagon. (b) Work out the size of angle x. x = ………………° (3) (Total 5 marks) 3. Work out the size of an exterior angle of a regular pentagon. ..........................° (Total 2 marks) 4. ABCD is a quadrilateral. Work out the size of the largest angle in the quadrilateral. ……………..° (Total 4 marks) 5. Calculate the size of the exterior angle of a regular hexagon.
The diagram shows a sector of a circle, centre O. The radius of the circle is 6 cm. Angle AOB = 120°. Work out the perimeter of the sector. Give your answer in terms of π in its simplest form. ........................................................... cm 3 marks) 5. Diagram NOT accurately drawn The diagram shows a sector of a circle, centre O, radius 10 cm. The arc length of the sector is 15 cm. Calculate the area of the sector. ........................................................... cm² (Total 4 marks)
Sampling Things to remember: Random sampling is where every member of the population has an equal chance of being chosen, which makes it fair. With systematic sampling you are unlikely to get a biased sample. Stratified sampling is the best way to reflect the population accurately. Stratified sample = Questions: 1. In Holborn School there are 460 students in Key Stage 3 320 students in Key Stage 4 165 students in Key Stage 5 is carrying out a survey. He needs a sample of 100 students stratified by Key Stage. Work out the number of students from Key 3 there should be in the sample. ........................................................... for Question is 2 marks) 2. Henri is carrying out a survey of the people aged 65 and over in his village. The table shows information about these people. Henri is going to take a sample of 30 people stratified by age. How many people aged 75 – 79 should be in the sample? ........................................................... (Total for Question is 3 marks) 3. The table shows information about 1065 students. Elena takes a stratified sample of 120 students by year group and by gender. Work out the number of Year 8 female students in her sample. ........................................................... (Total for Question is 2 marks)
Proportion Things to remember: Start by checking the question for squares, cubes and roots; “x is directly proportional to y” looks like x α y or x = ky “x is inversely proportional to y” looks like x α or x = Questions: 1. The shutter speed, S, of a camera varies inversely as the square of the aperture setting, f. When f = 8, S = 125 (a) Find a formula for S in terms of f. ........................................................... (3) (b) Hence, or otherwise, calculate the value of S when f = 4 S = ........................................................... (1) (Total 4 marks) 2. In a factory, chemical reactions are carried out in spherical containers. The time, T minutes, the chemical reaction takes is directly proportional to the square of the radius, R cm, of the spherical container. When R = 120, T = 32 Find the value of T when R = 150 T = ........................................................... (Total 4 marks) 3. d is directly proportional to the square of t.
What fraction of shape B is shaded? (Total for question = 3 marks) 4. Express the recurring decimal as a fraction. Give your answer in its simplest form. ........................................................... (Total for Question is 3 marks) 5. Work out Give your answer as a mixed number in its simplest form.