2008 - Kapiti College

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QUESTION ONE AS 10.3 Graphs (a) Give the next two terms of each sequence: (i) 20 , 14 , 8 , _____ , _____ [1] (ii) 4 , 5 , 8 , 13 , 20, _____ , _____ [1] (iii) , , , , , [1] (b) Which of the following rules generates the pattern: 5 , 8 , 13 , 20 , … A. 3 n + 6 B. n 2 + 4 2 C. ( n + 3) D. 5n ______________________________ ______________________________ [1] (c) Given the pattern: QUESTION TWO (a) Draw the graph: y = 2 x + 3 [1] y 12 10 8 6 4 2 -6 -4 -2 -2 2 4 6 -4 -6 -8 -10 -12 (b) Michelle goes for a bike ride from work. She records how far she is from home. d (km) 40 30 x n T 1 10 2 13 3 16 4 19 Write the rule for T in terms of n. T = _________________ [1] 20 10 0.5 1 1.5 2 t (hr) On the graph, find (i) the d-intercept __________ [1] (d) Given the pattern, complete the table: x Y 1 -2 2 1 3 4 4 ___ 5 ___ 20 ___ x _________________ _________________ [3] (ii) the gradient. __________ [1] QUESTION THREE The rule for a pattern is given by: T = 100 − 4n , where n = {1,2,3,4…} (a) Find the first four terms. ______________________________ [1] (b) Find T when n = 40. ______________________________ [1] (c) Find n when T = 0. ______________________________ ______________________________ [1] Page 6 Year 10 Kapiti College 2008
QUESTION FOUR Given the graph: y = −3 x + 8 (a) (i) What is the y-intercept? ____ [1] (ii) What is the gradient? ____ [1] (iii) the gradient. ______________________________ [1] (b) Write the equation for the graph. ______________________________ (b) Draw the graph of. y = −3 x + 8 [2] ______________________________ [2] y 10 (c) Sketch the graph: y = 4 on the axis below 5 y 10 -10 -5 5 10 x 5 -5 -10 -5 5 10 x -10 -5 QUESTION FIVE Debbie is walking home from work. The graph shows her distance from home on her trip home. d (m) 400 300 200 100 -10 ______________________________ [1] 2 (d) Sketch the graph: y = x − 3 on the axis 3 below y 10 1 2 3 4 5 t (min) 5 (a) Write statements that interpret the following on the graph: (i) the d-intercept ______________________________ [1] -10 -5 5 10 -5 -10 x (ii) the t-intercept ______________________________ [1] ______________________________ [2] Page 7 Year 10 Kapiti College 2008
Page 1 and 2: NAME: TEACHER: Kapiti College Year
Page 3 and 4: QUESTION THREE 4 2 ⎛ p ⎞ (a) Si
Page 5: QUESTION THREE Space for Working Us
Page 9 and 10: AS 10.4 Measurement ===============
Page 11 and 12: AS 10.5 Statistics ================
Page 13 and 14: Christo runs a vegetable stall at t
Page 15: Page 15 Year 10 Kapiti College 2008

2008 - Kapiti College

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