14.7 Here are some patterns made from white centimetre squares and grey centimetre squares. Pattern 1 Pattern 2 Pattern 3 A Pattern has 20 grey squares. (a) Work out how many white squares there are in this Pattern. (2) (b) Find an expression, in terms of for the total number of centimetre squares in n, Pattern n. (2) 15.1 On the grid, draw the graph of = 2x 3 for values of from to 2 y x – –2 15.2 On the grid, draw the graph of = 4x 2 for values of from = 2 to = 3 y x x x – – On the grid, draw the graph of = 2x + 3 for values of from = to = 1 15.3 y x x x –3 15.4 (a) Complete the table of values for = + 4 y x 0 1 2 x –2 –1 3 4 y (2) (b) On the grid, draw the graph of = + 4 y x (2) (c) (i) On the grid, draw the line that is perpendicular to = + 4 and passes through the y x point with coordinates (0, 4) (ii) Find the equation of this line. (3) [Grade B] *17.1 is an isosceles triangle. = DB DE. The straight line is parallel to the straight line ABC DEF. Work out the size of the angle marked x. You must give reasons for each stage in your working. 17.2 and are parallel lines. AFB is a straight line. EFD
14.7 Here are some patterns made from white centimetre squares and grey centimetre squares. Pattern 1 Pattern 2 Pattern 3 A Pattern has 20 grey squares. (a) Work out how many white squares there are in this Pattern. (2) (b) Find an expression, in terms of n, for the total number of centimetre squares in Pattern n. (2) 15.1 On the grid, draw the graph of y = 2x – 3 for values of x from –2 to 2 15.2 On the grid, draw the graph of y = 4x – 2 for values of x from x = – 2 to x = 3 15.3 On the grid, draw the graph of y = 2x + 3 for values of x from x = –3 to x = 1 15.4 (a) Complete the table of values for y = x + 4 x –2 –1 0 1 2 y 3 4 (2) (b) On the grid, draw the graph of y = x + 4 (2) (c) (i) On the grid, draw the line that is perpendicular to y = x + 4 and passes through the point with coordinates (0, 4) (ii) Find the equation of this line. [Grade B] (3) *17.1 is an isosceles triangle. DB = DE. The straight line ABC is parallel to the straight line DEF. Work out the size of the angle marked x. You must give reasons for each stage in your working. 17.2 AFB and are parallel lines. EFD is a straight line.
grade-d-questions-edited.docx